%================================================================ % LaTeX file with preferred layout for H1 paper drafts % use: dvips -D600 file-name %================================================================ \RequirePackage{lineno} % This is provided with the package %\documentclass[12pt]{report} \documentclass[12pt,a4paper]{article} %\usepackage{epsfig} \usepackage{graphicx} \usepackage{amsmath} \usepackage{hhline} \usepackage{amssymb} \usepackage{times} \usepackage{cite} \usepackage{rotate} \usepackage{multirow} \usepackage{captcont} \usepackage{subfigure} \usepackage[pagebackref=false,colorlinks=true]{hyperref} %allow html %links in the PDF document \renewcommand{\topfraction}{1.0} \renewcommand{\bottomfraction}{1.0} \renewcommand{\textfraction}{0.0} \newlength{\dinwidth} \newlength{\dinmargin} \setlength{\dinwidth}{21.0cm} \setlength{\parindent}{0.0cm} \textheight23.5cm \textwidth16.0cm \setlength{\dinmargin}{\dinwidth} \setlength{\unitlength}{1mm} \addtolength{\dinmargin}{-\textwidth} \setlength{\dinmargin}{0.5\dinmargin} \oddsidemargin -1.0in \addtolength{\oddsidemargin}{\dinmargin} \setlength{\evensidemargin}{\oddsidemargin} \setlength{\marginparwidth}{0.9\dinmargin} \marginparsep 8pt \marginparpush 5pt \topmargin -42pt \headheight 12pt \headsep 30pt \footskip 24pt \parskip 3mm plus 2mm minus 2mm %===============================title page============================= \begin{document} %\linenumbers % turn on line numbering % The rest \renewcommand{\arraystretch}{1.1} \newcommand{\pom}{{I\!\!P}} \newcommand{\reg}{{I\!\!R}} \newcommand{\slowpi}{\pi_{\mathit{slow}}} %\newcommand{\gevsq}{\mathrm{GeV}^2} \newcommand{\fiidiii}{F_2^{D(3)}} \newcommand{\fiidiiiarg}{\fiidiii\,(\beta,\,Q^2,\,x)} \newcommand{\n}{1.19\pm 0.06 (stat.) \pm0.07 (syst.)} \newcommand{\nz}{1.30\pm 0.08 (stat.)^{+0.08}_{-0.14} (syst.)} \newcommand{\fiidiiiful}{F_2^{D(4)}\,(\beta,\,Q^2,\,x,\,t)} \newcommand{\fiipom}{\tilde F_2^D} \newcommand{\ALPHA}{1.10\pm0.03 (stat.) \pm0.04 (syst.)} \newcommand{\ALPHAZ}{1.15\pm0.04 (stat.)^{+0.04}_{-0.07} (syst.)} \newcommand{\fiipomarg}{\fiipom\,(\beta,\,Q^2)} \newcommand{\pomflux}{f_{\pom / p}} \newcommand{\nxpom}{1.19\pm 0.06 (stat.) \pm0.07 (syst.)} \newcommand {\gapprox} {\raisebox{-0.7ex}{$\stackrel {\textstyle>}{\sim}$}} \newcommand {\lapprox} {\raisebox{-0.7ex}{$\stackrel {\textstyle<}{\sim}$}} \def\gsim{\,\lower.25ex\hbox{$\scriptstyle\sim$}\kern-1.30ex% \raise 0.55ex\hbox{$\scriptstyle >$}\,} \def\lsim{\,\lower.25ex\hbox{$\scriptstyle\sim$}\kern-1.30ex% \raise 0.55ex\hbox{$\scriptstyle <$}\,} \newcommand{\pomfluxarg}{f_{\pom / p}\,(x_\pom)} \newcommand{\dsf}{\mbox{$F_2^{D(3)}$}} \newcommand{\dsfva}{\mbox{$F_2^{D(3)}(\beta,Q^2,x_{I\!\!P})$}} \newcommand{\dsfvb}{\mbox{$F_2^{D(3)}(\beta,Q^2,x)$}} \newcommand{\dsfpom}{$F_2^{I\!\!P}$} \newcommand{\gap}{\stackrel{>}{\sim}} \newcommand{\lap}{\stackrel{<}{\sim}} \newcommand{\fem}{$F_2^{em}$} \newcommand{\tsnmp}{$\tilde{\sigma}_{NC}(e^{\mp})$} \newcommand{\tsnm}{$\tilde{\sigma}_{NC}(e^-)$} \newcommand{\tsnp}{$\tilde{\sigma}_{NC}(e^+)$} \newcommand{\st}{$\star$} \newcommand{\sst}{$\star \star$} \newcommand{\ssst}{$\star \star \star$} \newcommand{\sssst}{$\star \star \star \star$} \newcommand{\tw}{\theta_W} \newcommand{\sw}{\sin{\theta_W}} \newcommand{\cw}{\cos{\theta_W}} \newcommand{\sww}{\sin^2{\theta_W}} \newcommand{\cww}{\cos^2{\theta_W}} \newcommand{\trm}{m_{\perp}} \newcommand{\trp}{p_{\perp}} \newcommand{\trmm}{m_{\perp}^2} \newcommand{\trpp}{p_{\perp}^2} \newcommand{\alp}{\alpha_s} \newcommand{\alps}{\alpha_s} \newcommand{\sqrts}{$\sqrt{s}$} \newcommand{\LO}{$O(\alpha_s^0)$} \newcommand{\Oa}{$O(\alpha_s)$} \newcommand{\Oaa}{$O(\alpha_s^2)$} \newcommand{\PT}{p_{\perp}} \newcommand{\JPSI}{J/\psi} \newcommand{\sh}{\hat{s}} %\newcommand{\th}{\hat{t}} \newcommand{\uh}{\hat{u}} \newcommand{\MP}{m_{J/\psi}} %\newcommand{\PO}{\mbox{l}\!\mbox{P}} \newcommand{\PO}{I\!\!P} \newcommand{\xbj}{x} \newcommand{\xpom}{x_{\PO}} \newcommand{\ttbs}{\char'134} \newcommand{\xpomlo}{3\times10^{-4}} \newcommand{\xpomup}{0.05} \newcommand{\dgr}{^\circ} \newcommand{\pbarnt}{\,\mbox{{\rm pb$^{-1}$}}} \newcommand{\gev}{\,\mbox{GeV}} \newcommand{\WBoson}{\mbox{$W$}} \newcommand{\fbarn}{\,\mbox{{\rm fb}}} \newcommand{\fbarnt}{\,\mbox{{\rm fb$^{-1}$}}} \newcommand{\vtab}{\rule[-1mm]{0mm}{4mm}} \newcommand{\htab}{\rule[-1mm]{0mm}{6mm}} \newcommand{\photoproduction}{$\gamma p$} \newcommand{\ptmiss}{$P_{T}^{\rm miss}$} \newcommand{\epz} {$E{\rm-}p_z$} \newcommand{\vap} { $V_{ap}/V_p$} \newcommand{\Zero} {\mbox{$Z^{\circ}$}} \newcommand{\Ftwo} {\mbox{$\tilde{F}_2$}} \newcommand{\Ftwoz} {\mbox{$\tilde{F}_{2,3}$}} \newcommand{\Fz} {\mbox{$\tilde{F}_3$}} \newcommand{\FL} {\mbox{$\tilde{F}_{_{L}}$}} \newcommand{\wtwogen} {W_2} \newcommand{\wlgen} {W_L} \newcommand{\xwthreegen} {xW_3} \newcommand{\Wtwo} {\mbox{$W_2$}} \newcommand{\Wz} {\mbox{$W_3$}} \newcommand{\WL} {\mbox{$W_{_{L}}$}} \newcommand{\Fem} {\mbox{$F_2$}} \newcommand{\Fgam} {\mbox{$F_2^{\gamma}$}} \newcommand{\Fint} {\mbox{$F_2^{\gamma Z}$}} \newcommand{\Fwk} {\mbox{$F_2^{Z}$}} \newcommand{\Ftwos} {\mbox{$F_2^{\gamma Z, Z}$}} \newcommand{\Fzz} {\mbox{$F_3^{\gamma Z, Z}$}} \newcommand{\Fintz} {\mbox{$F_{2,3}^{\gamma Z}$}} \newcommand{\Fwkz} {\mbox{$F_{2,3}^{Z}$}} \newcommand{\Fzint} {\mbox{$F_3^{\gamma Z}$}} \newcommand{\Fzwk} {\mbox{$F_3^{Z}$}} \newcommand{\Gev} {\mbox{${\rm GeV}$}} \newcommand{\Gevv}{\mbox{${\rm GeV}^2$}} \newcommand{\QQ} {\mbox{${Q^2}$}} \newcommand{\gv}{GeV$^2\,$} \newcommand{\bs}{\bar{s}} \newcommand{\bc}{\bar{c}} \newcommand{\bu}{\bar{u}} \newcommand{\bb}{\bar{b}} \newcommand{\bU}{\overline{U}} \newcommand{\bD}{\overline{D}} \newcommand{\bd}{\bar{d}} \newcommand{\bq}{\bar{q}} \newcommand{\FLc}{$ F_{L}\,$} \newcommand{\xg}{$xg(x,Q^2)\,$} \newcommand{\xgc}{$xg\,$} \newcommand{\ipb}{pb$^{-1}\,$} \newcommand{\TOSS}{x_{{i}/{\PO}}} \newcommand{\un}[1]{\mbox{\rm #1}} \newcommand{\pdsi}{$(\partial \sigma_r / \partial \ln y)_{Q^2}\,$} \newcommand{\pdff}{$(\partial F_{2} / \partial \ln Q^{2})_x\,$ } \newcommand{\Fc}{$ F_{2}~$} \newcommand{\amz}{$\alpha_s(M_Z^2)\,$} % % Some useful tex commands % \newcommand{\qsq}{\ensuremath{Q^2} } \newcommand{\gevsq}{\ensuremath{\mathrm{GeV}^2} } \newcommand{\et}{\ensuremath{E_t^*} } \newcommand{\rap}{\ensuremath{\eta^*} } \newcommand{\gp}{\ensuremath{\gamma^*}p } \newcommand{\dsiget}{\ensuremath{{\rm d}\sigma_{ep}/{\rm d}E_t^*} } \newcommand{\dsigrap}{\ensuremath{{\rm d}\sigma_{ep}/{\rm d}\eta^*} } % Journal macro \def\Journal#1#2#3#4{{#1} {\bf #2} (#3) #4} \def\NCA{\em Nuovo Cimento} \def\NIM{\em Nucl. Instrum. Methods} \def\NIMA{{\em Nucl. Instrum. Methods} {\bf A}} \def\NPB{{\em Nucl. Phys.} {\bf B}} \def\PLB{{\em Phys. Lett.} {\bf B}} \def\PRL{\em Phys. Rev. Lett.} \def\PRD{{\em Phys. Rev.} {\bf D}} \def\ZPC{{\em Z. Phys.} {\bf C}} \def\EJC{{\em Eur. Phys. J.} {\bf C}} \def\CPC{\em Comp. Phys. Commun.} \begin{titlepage} \noindent \begin{flushleft} {\tt DESY 12-107 \hfill ISSN 0418-9833} \\ {\tt June 2012} \\ \end{flushleft} \vspace{1cm} \begin{center} \begin{Large} {\bf Inclusive Deep Inelastic Scattering \\ at High \boldmath${Q^2}$ with Longitudinally \\ Polarised Lepton Beams at HERA} \vspace{1cm} H1 Collaboration \end{Large} \end{center} \vspace{1cm} \begin{abstract} \noindent Inclusive $e^{\pm}p$~single and double differential cross sections for neutral and charged current deep inelastic scattering processes are measured with the H1 detector at HERA. The data were taken at a centre-of-mass energy of $\sqrt{s}=319\,{\rm GeV}$ with a total integrated luminosity of $333.7\,{\rm pb}^{-1}$ shared between two lepton beam charges and two longitudinal lepton polarisation modes. The differential cross sections are measured in the range of negative four-momentum transfer squared, $Q^2$, between $60$ and $50\,000\,{\rm GeV}^2$, and Bjorken $x$ between $0.0008$ and $0.65$. The measurements are combined with earlier published unpolarised H1 data to improve statistical precision and used to determine the structure function $xF_3^{\gamma Z}$. A measurement of the neutral current parity violating structure function $F_2^{\gamma Z}$ is presented for the first time. The polarisation dependence of the charged current total cross section is also measured. The new measurements are well described by a next-to-leading order QCD fit based on all published H1 inclusive cross section data which are used to extract the parton distribution functions of the proton. \end{abstract} \vspace{1cm} \begin{center} Submitted to JHEP \end{center} \end{titlepage} % % COPY THE AUTHOR AND INSTITUTE LISTS % AT THE TIME OF THE T0-TALK INTO YOUR AREA % % from /h1/iww/ipublications/h1auts.tex \begin{flushleft} %\input{Author} %-- H1AUTS Author list by names %-- Status: Tue May 1 06:29:49 CEST 2012 Number of authors = 194 F.D.~Aaron$^{5,45}$, %BUCH-LEFT 01/12 Aaron C.~Alexa$^{5}$, %BUCH-PD 06/06 Alexa V.~Andreev$^{25}$, %LPI -PD 8/88 Andreev S.~Backovic$^{30}$, %PODG-LEFT 08/11 Backovic A.~Baghdasaryan$^{38}$, %YERE-PD 09/03 Baghdasaryana S.~Baghdasaryan$^{38}$, %YERE-ST 02/10 Baghdasaryans E.~Barrelet$^{29}$, %PARI-LEFT 01/12 Barrelet W.~Bartel$^{11}$, %DESY-HON 02/03 Bartel K.~Begzsuren$^{35}$, %ULBA-PD 04/06 Begzsuren A.~Belousov$^{25}$, %LPI -PROF 08/87 Belousov P.~Belov$^{11}$, %DESY-ST 07/10 Belov J.C.~Bizot$^{27}$, %ORSA-LEFT 01/12 Bizot V.~Boudry$^{28}$, %ECPL-PD 1/93 Boudry I.~Bozovic-Jelisavcic$^{2}$, %BEOG-PROF 04/07 Bozovicjelisavcic J.~Bracinik$^{3}$, %BIRM-LEFT 01/12 Bracinik G.~Brandt$^{11}$, %DESY-LEFT 06/11 Brandt M.~Brinkmann$^{11}$, %DESY-PD 03/10 Brinkmann V.~Brisson$^{27}$, %ORSA-HON 01/12 Brisson D.~Britzger$^{11}$, %DESY-ST 10/09 Britzger D.~Bruncko$^{16}$, %KOSI-LEFT 01/12 Bruncko A.~Bunyatyan$^{13,38}$, %MPIH-PD 12/95 Bunyatyan A.~Bylinkin$^{24}$, %ITEP-DIP 09/10 Bylinkin L.~Bystritskaya$^{24}$, %ITEP-PD 05/99 Bystritskaya A.J.~Campbell$^{11}$, %DESY-PD 10/84 Campbella K.B.~Cantun~Avila$^{22}$, %MEX1-ST 04/06 Cantunavila F.~Ceccopieri$^{4}$, %BRUX-PD 10/09 Ceccopieri K.~Cerny$^{32}$, %PRG2-PD 11/08 Cernyk V.~Cerny$^{16}$, %KOSI-LEFT 01/12 Cernyv V.~Chekelian$^{26}$, %MPIM-PD 01/90 Chekelian J.G.~Contreras$^{22}$, %MEX1-PROF 03/98 Contreras J.A.~Coughlan$^{6}$, %RAL -LEFT 01/12 Coughlan J.~Cvach$^{31}$, %PRAG-HON 01/10 Cvach J.B.~Dainton$^{18}$, %LIVE-PROF 01/94 Dainton K.~Daum$^{37,42}$, %WUPP-PROF 06/90 Daum B.~Delcourt$^{27}$, %ORSA-LEFT 01/12 Delcourt J.~Delvax$^{4}$, %BRUX-LEFT 10/11 Delvax E.A.~De~Wolf$^{4}$, %ANTW-HON 10/10 Dewolf C.~Diaconu$^{21}$, %MARS-PD 09/96 Diaconu M.~Dobre$^{12,47,48}$, %HAM2-ST 07/09 Dobre V.~Dodonov$^{13}$, %MPIH-PD 04/98 Dodonov A.~Dossanov$^{12,26}$, %MPIM-ST 05/07 Dossanov A.~Dubak$^{30}$, %PODG-LEFT 07/11 Dubak G.~Eckerlin$^{11}$, %DESY-PD 8/88 Eckerlin S.~Egli$^{36}$, %PSI -PD 01/10 Egli A.~Eliseev$^{25}$, %LPI -LEFT 12/11 Eliseev E.~Elsen$^{11}$, %DESY-PROF 01/06 Elsen L.~Favart$^{4}$, %BRUX-PROF 10/99 Favart A.~Fedotov$^{24}$, %ITEP-PD 8/88 Fedotov R.~Felst$^{11}$, %DESY-HON 06/02 Felst J.~Feltesse$^{10}$, %SACL-HON 11/06 Feltesse J.~Ferencei$^{16}$, %KOSI-PD 08/88 Ferencei D.-J.~Fischer$^{11}$, %DESY-PD 07/11 Fischer M.~Fleischer$^{11}$, %DESY-PD 07/95 Fleischer A.~Fomenko$^{25}$, %LPI -PD 02/89 Fomenko E.~Gabathuler$^{18}$, %LIVE-HON 01/12 Gabathulere J.~Gayler$^{11}$, %DESY-HON 02/05 Gayler S.~Ghazaryan$^{11}$, %DFLC-PD 09/09 Ghazaryan A.~Glazov$^{11}$, %DESY-PD 01/04 Glazov L.~Goerlich$^{7}$, %CRAC-PD 8/88 Goerlich N.~Gogitidze$^{25}$, %LPI -PD 05/91 Gogitidze M.~Gouzevitch$^{11,43}$, %DESY-PD 10/11 Gouzevitch C.~Grab$^{40}$, %ZUTH-PROF 08/07 Grab A.~Grebenyuk$^{11}$, %DESY-PD 03/12 Grebenyuk T.~Greenshaw$^{18}$, %LIVE-PD 8/88 Greenshaw G.~Grindhammer$^{26}$, %MPIM-HON 09/11 Grindhammer S.~Habib$^{11}$, %DESY-PD 10/09 Habib D.~Haidt$^{11}$, %DESY-HON 03/04 Haidt R.C.W.~Henderson$^{17}$, %LANC-PROF 10/04 Henderson E.~Hennekemper$^{15}$, %HDB2-PD 07/11 Hennekemper H.~Henschel$^{39}$, %ZEUT-LEFT 02/12 Henschel M.~Herbst$^{15}$, %HDB2-PD 11/11 Herbst G.~Herrera$^{23}$, %MEX2-PD 07/98 Herrera M.~Hildebrandt$^{36}$, %PSI -PD 01/10 Hildebrandtm K.H.~Hiller$^{39}$, %ZEUT-PD 01/92 Hiller J.~Hladk\'y$^{31}$, D.~Hoffmann$^{21}$, %MARS-PD 07/00 Hoffmann R.~Horisberger$^{36}$, %PSI -PD 01/10 Horisberger T.~Hreus$^{4}$, %BRUX-PD 10/08 Hreus F.~Huber$^{14}$, %HDB1-ST 09/09 Huberf M.~Jacquet$^{27}$, %ORSA-PD 09/96 Jacquet X.~Janssen$^{4}$, %ANTW-PD 02/03 Janssenx L.~J\"onsson$^{20}$, %LUND-PROF 01/01 Joensson H.~Jung$^{11,4}$, %DESY-PROF 12/99 Jungh M.~Kapichine$^{9}$, %JINR-PD 3/97 Kapichine I.R.~Kenyon$^{3}$, %BIRM-LEFT 01/12 Kenyon C.~Kiesling$^{26}$, %MPIM-HON 09/11 Kiesling M.~Klein$^{18}$, %LIVE-PROF 12/06 Klein C.~Kleinwort$^{11}$, %DESY-PD 8/88 Kleinwort R.~Kogler$^{12}$, %HAM2-PD 12/10 Kogler P.~Kostka$^{39}$, %ZEUT-PD 10/87 Kostka M.~Kr\"{a}mer$^{11}$, %DESY-PD 10/09 Kraemer J.~Kretzschmar$^{18}$, %LIVE-PD 03/08 Kretzschmar K.~Kr\"uger$^{15}$, %HDB2-PD 01/04 Kruegerk M.P.J.~Landon$^{19}$, %QMWC-PD 10/83 Landon W.~Lange$^{39}$, %ZEUT-PD 8/88 Lange G.~La\v{s}tovi\v{c}ka-Medin$^{30}$, %PODG-LEFT 01/12 Lastovickamedin P.~Laycock$^{18}$, %LIVE-PD 11/03 Laycock A.~Lebedev$^{25}$, %LPI -PROF 04/89 Lebedev V.~Lendermann$^{15}$, %HDB2-LEFT 01/12 Lendermann S.~Levonian$^{11}$, %DESY-PD 08/88 Levonian G.~Li$^{27,51}$, K.~Lipka$^{11,47}$, %DESY-PD 06/01 Lipka B.~List$^{11}$, %DESY-PD 11/99 Listb J.~List$^{11}$, %DFLC-PD 10/00 Listj B.~Lobodzinski$^{11}$, %DESY-PD 01/06 Lobodzinski R.~Lopez-Fernandez$^{23}$, %MEX2-PD 03/2 Lopezfernandez V.~Lubimov$^{24}$, %ITEP-HON 01/12 Lubimov E.~Malinovski$^{25}$, %LPI -PD 01/89 Malinovskie H.-U.~Martyn$^{1}$, %AAC1-HON 01/12 Martyn S.J.~Maxfield$^{18}$, %LIVE-PD 8/88 Maxfield A.~Mehta$^{18}$, %LIVE-PROF 06/00 Mehta A.B.~Meyer$^{11}$, %DESY-PD 10/97 Meyeran H.~Meyer$^{37}$, %WUPP-HON 12/00 Meyerhi J.~Meyer$^{11}$, %DESY-PROF 10/84 Meyerj S.~Mikocki$^{7}$, %CRAC-PROF 10/10 Mikocki I.~Milcewicz-Mika$^{7}$, %CRAC-PD 12/11 Milcewicz F.~Moreau$^{28}$, %ECPL-LEFT 01/12 Moreau A.~Morozov$^{9}$, %JINR-PD 06/99 Morozova J.V.~Morris$^{6}$, %RAL -HON 01/10 Morris K.~M\"uller$^{41}$, %ZUER-PD 11/94 Muellerk Th.~Naumann$^{39}$, %ZEUT-PROF 01/05 Naumannt P.R.~Newman$^{3}$, %BIRM-PROF 10/09 Newman C.~Niebuhr$^{11}$, %DESY-PD 3/93 Niebuhr A.~Nikiforov$^{11,52}$, %DESY-PD D.~Nikitin$^{9}$, %JINR-PD 06/08 Nikitin G.~Nowak$^{7}$, %CRAC-PROF 02/12 Nowakg K.~Nowak$^{12}$, %HAM2-PD 03/10 Nowakk J.E.~Olsson$^{11}$, %DESY-HON 09/10 Olsson D.~Ozerov$^{11}$, %DESY-PD 09/08 Ozerov P.~Pahl$^{11}$, %DESY-ST 10/08 Pahl V.~Palichik$^{9}$, %JINR-PD 01/04 Palichik M.~Pandurovic$^{2}$, %BEOG-PD 03/11 Pandurovic C.~Pascaud$^{27}$, %ORSA-HON 09/05 Pascaud G.D.~Patel$^{18}$, %LIVE-PD 8/88 Patel E.~Perez$^{10,44}$, %SACL-PD 10/07 Perez A.~Petrukhin$^{11}$, %DESY-PD 10/09 Petrukhin I.~Picuric$^{30}$, %PODG-PROF 12/07 Picuric H.~Pirumov$^{14}$, %HDB1-ST 09/09 Pirumov D.~Pitzl$^{11}$, %DESY-PD 8/88 Pitzl R.~Pla\v{c}akyt\.{e}$^{11}$, %DESY-PD 10/06 Placakyte B.~Pokorny$^{32}$, %PRG2-ST 10/09 Pokorny R.~Polifka$^{32,49}$, %PRG2-PD 05/11 Polifka B.~Povh$^{13}$, %MPIH-PROF 09/95 Povh V.~Radescu$^{11}$, %DESY-PD 10/06 Radescu N.~Raicevic$^{30}$, %PODG-PD 06/02 Raicevic T.~Ravdandorj$^{35}$, %ULBA-PROF 09/00 Ravdandorj P.~Reimer$^{31}$, %PRAG-PD 07/90 Reimer E.~Rizvi$^{19}$, %QMWC-PROF 03/04 Rizvi P.~Robmann$^{41}$, %ZUER-PD 8/88 Robmann R.~Roosen$^{4}$, %BRUX-HON 03/12 Roosen A.~Rostovtsev$^{24}$, %ITEP-PROF 02/11 Rostovtsev M.~Rotaru$^{5}$, %BUCH-PD 06/11 Rotaru J.E.~Ruiz~Tabasco$^{22}$, %MEX1-PD 05/10 Ruiztabascojuliaelis S.~Rusakov$^{25}$, %LPI -HON 01/12 Rusakov D.~\v S\'alek$^{32}$, %PRG2-PD 10/10 Salek D.P.C.~Sankey$^{6}$, %RAL -PD 01/90 Sankey M.~Sauter$^{14}$, %HDB1-PD 10/09 Sauter E.~Sauvan$^{21,50}$, %MARS-PD 11/1 Sauvan S.~Schmitt$^{11}$, %DESY-PD 09/99 Schmittst L.~Schoeffel$^{10}$, %SACL-PROF 10/10 Schoeffel A.~Sch\"oning$^{14}$, %HDB1-PROF 01/09 Schoening H.-C.~Schultz-Coulon$^{15}$, %HDB2-PROF 01/04 Schultzcoulon F.~Sefkow$^{11}$, %DFLC-PD 09/99 Sefkow L.N.~Shtarkov$^{25}$, %LPI -LEFT 01/12 Shtarkov S.~Shushkevich$^{11}$, %DESY-PD 08/11 Shushkevich T.~Sloan$^{17}$, %LANC-LEFT 01/12 Sloan Y.~Soloviev$^{11,25}$, %LPI -PD 08/89 Soloviev P.~Sopicki$^{7}$, %CRAC-ST 09/07 Sopicki D.~South$^{11}$, %DESY-PD 05/03 South V.~Spaskov$^{9}$, %JINR-PD 12/97 Spaskov A.~Specka$^{28}$, %ECPL-PROF 09/05 Specka Z.~Staykova$^{4}$, %ANTW-PD 10/10 Staykova M.~Steder$^{11}$, %DESY-PD 09/08 Steder B.~Stella$^{33}$, %ROME-HON 11/10 Stella G.~Stoicea$^{5}$, %BUCH-PD 02/08 Stoicea U.~Straumann$^{41}$, %ZUER-PROF 09/95 Straumann T.~Sykora$^{4,32}$, %ANTW-PD 01/06 Sykora P.D.~Thompson$^{3}$, %BIRM-PD 08/99 Thompsonp T.H.~Tran$^{27}$, %ORSA-LEFT 10/11 Tran D.~Traynor$^{19}$, %QMWC-PD 10/01 Traynor P.~Tru\"ol$^{41}$, %ZUER-HON 10/06 Truoel I.~Tsakov$^{34}$, %SOFI-PROF 03/12 Tsakov B.~Tseepeldorj$^{35,46}$, %ULBA-PROF 06/06 Tseepeldorj J.~Turnau$^{7}$, %CRAC-PROF 09/95 Turnau A.~Valk\'arov\'a$^{32}$, %PRG2-PD 8/88 Valkarova C.~Vall\'ee$^{21}$, %MARS-PD 06/86 Vallee P.~Van~Mechelen$^{4}$, %ANTW-PROF 01/06 Vanmechelen Y.~Vazdik$^{25}$, %LPI -PD 8/88 Vazdik D.~Wegener$^{8}$, %DORT-PROF 01/06 Wegener E.~W\"unsch$^{11}$, %DESY-PD 8/88 Wuensch J.~\v{Z}\'a\v{c}ek$^{32}$, %PRG2-PROF 10/05 Zacek J.~Z\'ale\v{s}\'ak$^{31}$, %PRAG-PD 01/05 Zalesak Z.~Zhang$^{27}$, %ORSA-PD 10/92 Zhang A.~Zhokin$^{24}$, %ITEP-LEFT 06/11 Zhokine R.~\v{Z}leb\v{c}\'{i}k$^{32}$, %PRG2-ST 03/12 Zlebcik H.~Zohrabyan$^{38}$, %YERE-PD 11/02 Zohrabyan and F.~Zomer$^{27}$ %ORSA-PROF 09/06 Zomer %\newpage %-- H1 Institutes \bigskip{\it $ ^{1}$ I. Physikalisches Institut der RWTH, Aachen, Germany \\ $ ^{2}$ Vinca Institute of Nuclear Sciences, University of Belgrade, 1100 Belgrade, Serbia \\ $ ^{3}$ School of Physics and Astronomy, University of Birmingham, Birmingham, UK$^{ b}$ \\ $ ^{4}$ Inter-University Institute for High Energies ULB-VUB, Brussels and Universiteit Antwerpen, Antwerpen, Belgium$^{ c}$ \\ $ ^{5}$ National Institute for Physics and Nuclear Engineering (NIPNE) , Bucharest, Romania$^{ k}$ \\ $ ^{6}$ STFC, Rutherford Appleton Laboratory, Didcot, Oxfordshire, UK$^{ b}$ \\ $ ^{7}$ Institute for Nuclear Physics, Cracow, Poland$^{ d}$ \\ $ ^{8}$ Institut f\"ur Physik, TU Dortmund, Dortmund, Germany$^{ a}$ \\ $ ^{9}$ Joint Institute for Nuclear Research, Dubna, Russia \\ $ ^{10}$ CEA, DSM/Irfu, CE-Saclay, Gif-sur-Yvette, France \\ $ ^{11}$ DESY, Hamburg, Germany \\ $ ^{12}$ Institut f\"ur Experimentalphysik, Universit\"at Hamburg, Hamburg, Germany$^{ a}$ \\ $ ^{13}$ Max-Planck-Institut f\"ur Kernphysik, Heidelberg, Germany \\ $ ^{14}$ Physikalisches Institut, Universit\"at Heidelberg, Heidelberg, Germany$^{ a}$ \\ $ ^{15}$ Kirchhoff-Institut f\"ur Physik, Universit\"at Heidelberg, Heidelberg, Germany$^{ a}$ \\ $ ^{16}$ Institute of Experimental Physics, Slovak Academy of Sciences, Ko\v{s}ice, Slovak Republic$^{ e}$ \\ $ ^{17}$ Department of Physics, University of Lancaster, Lancaster, UK$^{ b}$ \\ $ ^{18}$ Department of Physics, University of Liverpool, Liverpool, UK$^{ b}$ \\ $ ^{19}$ School of Physics and Astronomy, Queen Mary, University of London, London, UK$^{ b}$ \\ $ ^{20}$ Physics Department, University of Lund, Lund, Sweden$^{ f}$ \\ $ ^{21}$ CPPM, Aix-Marseille Univ, CNRS/IN2P3, 13288 Marseille, France \\ $ ^{22}$ Departamento de Fisica Aplicada, CINVESTAV, M\'erida, Yucat\'an, M\'exico$^{ i}$ \\ $ ^{23}$ Departamento de Fisica, CINVESTAV IPN, M\'exico City, M\'exico$^{ i}$ \\ $ ^{24}$ Institute for Theoretical and Experimental Physics, Moscow, Russia$^{ j}$ \\ $ ^{25}$ Lebedev Physical Institute, Moscow, Russia \\ $ ^{26}$ Max-Planck-Institut f\"ur Physik, M\"unchen, Germany \\ $ ^{27}$ LAL, Universit\'e Paris-Sud, CNRS/IN2P3, Orsay, France \\ $ ^{28}$ LLR, Ecole Polytechnique, CNRS/IN2P3, Palaiseau, France \\ $ ^{29}$ LPNHE, Universit\'e Pierre et Marie Curie Paris 6, Universit\'e Denis Diderot Paris 7, CNRS/IN2P3, Paris, France \\ $ ^{30}$ Faculty of Science, University of Montenegro, Podgorica, Montenegro$^{ l}$ \\ $ ^{31}$ Institute of Physics, Academy of Sciences of the Czech Republic, Praha, Czech Republic$^{ g}$ \\ $ ^{32}$ Faculty of Mathematics and Physics, Charles University, Praha, Czech Republic$^{ g}$ \\ $ ^{33}$ Dipartimento di Fisica Universit\`a di Roma Tre and INFN Roma~3, Roma, Italy \\ $ ^{34}$ Institute for Nuclear Research and Nuclear Energy, Sofia, Bulgaria \\ $ ^{35}$ Institute of Physics and Technology of the Mongolian Academy of Sciences, Ulaanbaatar, Mongolia \\ $ ^{36}$ Paul Scherrer Institut, Villigen, Switzerland \\ $ ^{37}$ Fachbereich C, Universit\"at Wuppertal, Wuppertal, Germany \\ $ ^{38}$ Yerevan Physics Institute, Yerevan, Armenia \\ $ ^{39}$ DESY, Zeuthen, Germany \\ $ ^{40}$ Institut f\"ur Teilchenphysik, ETH, Z\"urich, Switzerland$^{ h}$ \\ $ ^{41}$ Physik-Institut der Universit\"at Z\"urich, Z\"urich, Switzerland$^{ h}$ \\ \bigskip $ ^{42}$ Also at Rechenzentrum, Universit\"at Wuppertal, Wuppertal, Germany \\ $ ^{43}$ Also at IPNL, Universit\'e Claude Bernard Lyon 1, CNRS/IN2P3, Villeurbanne, France \\ $ ^{44}$ Also at CERN, Geneva, Switzerland \\ $ ^{45}$ Also at Faculty of Physics, University of Bucharest, Bucharest, Romania \\ $ ^{46}$ Also at Ulaanbaatar University, Ulaanbaatar, Mongolia \\ $ ^{47}$ Supported by the Initiative and Networking Fund of the Helmholtz Association (HGF) under the contract VH-NG-401. \\ $ ^{48}$ Absent on leave from NIPNE-HH, Bucharest, Romania \\ $ ^{49}$ Also at Department of Physics, University of Toronto, Toronto, Ontario, Canada M5S 1A7 \\ $ ^{50}$ Also at LAPP, Universit\'e de Savoie, CNRS/IN2P3, Annecy-le-Vieux, France \\ $ ^{51}$ Now at EPC, Institute of High Energy Physics, Beijing, China\\ $ ^{52}$ Now at Humbold Universit\"at Berlin, Berlin, Germany\\ \newpage \bigskip $ ^a$ Supported by the Bundesministerium f\"ur Bildung und Forschung, FRG, under contract numbers 05H09GUF, 05H09VHC, 05H09VHF, 05H16PEA \\ $ ^b$ Supported by the UK Science and Technology Facilities Council, and formerly by the UK Particle Physics and Astronomy Research Council \\ $ ^c$ Supported by FNRS-FWO-Vlaanderen, IISN-IIKW and IWT and by Interuniversity Attraction Poles Programme, Belgian Science Policy \\ $ ^d$ Partially Supported by Polish Ministry of Science and Higher Education, grant DPN/N168/DESY/2009 \\ $ ^e$ Supported by VEGA SR grant no. 2/7062/ 27 \\ $ ^f$ Supported by the Swedish Natural Science Research Council \\ $ ^g$ Supported by the Ministry of Education of the Czech Republic under the projects LC527, INGO-LA09042 and MSM0021620859 \\ $ ^h$ Supported by the Swiss National Science Foundation \\ $ ^i$ Supported by CONACYT, M\'exico, grant 48778-F \\ $ ^j$ Russian Foundation for Basic Research (RFBR), grant no 1329.2008.2 and Rosatom \\ $ ^k$ Supported by the Romanian National Authority for Scientific Research under the contract PN 09370101 \\ $ ^l$ Partially Supported by Ministry of Science of Montenegro, no. 05-1/3-3352 \\ } \end{flushleft} \newpage %\input{Introduction} %%%%%%%%%%%%%%%%%%%%%%% \section{Introduction} %%%%%%%%%%%%%%%%%%%%%%% \label{sec:intro} Precision measurements of the proton structure in neutral current (NC) and charged current (CC) deep inelastic scattering (DIS) with polarised lepton beams provide important information on the understanding of parton dynamics and quantum chromodynamics (QCD). Previously published measurements at the electron\footnote{In this paper ``electron'' refers generically to both electrons and positrons. Where distinction is required the terms $e^-$ and $e^+$ are used.}-proton collider HERA~\cite{h19497,h19899,h1hiq2,h1ccpol,h1lowestq2,h1fl,h1pdf2009,zeusbpc,zeusbpt,zeussvx,zeusnc9697,zeuscc9497,zeusnc9899,zeuscc9899,zeusnc9900,zeuscc9900} have already provided strong constraints on the parton distribution functions (PDFs) of the proton~\cite{h1hiq2,h1pdf2009,HERAPDF10,CTEQ6.6,MSTW2008,NNPDF2.0,GJR,ABKM}. With access to values of four momentum transfers $\sqrt{Q^2}$ comparable to the masses of the $Z$ and $W$ bosons, precision DIS measurements also probe the chiral structure of the electroweak interactions. Inclusive neutral current interactions are defined as the process \mbox{$ep \rightarrow eX$} mediated by $\gamma/Z$ bosons, whereas inclusive charged current interactions are defined as \mbox{$ep \rightarrow \nu X$} and are purely weak processes mediated by $W$ bosons. In this paper precise measurements of the inclusive neutral and charged current $ep$ cross sections at high $Q^2$ are presented utilising the complete HERA\,II\footnote{HERA operation was split into two phases, HERA\,I which ran from 1992 to 2000, and HERA\,II which ran from 2003 to2007.} data set of $333.7\,{\rm pb}^{-1}$ recorded by the H1 detector at a centre-of-mass energy of $\sqrt{s}= 319\,{\rm GeV}$ with longitudinally polarised electron and positron beams. The inclusive NC and CC polarised single differential cross sections, ${\rm d}\sigma/{\rm d}Q^2$ and the double differential reduced cross sections ${\tilde\sigma}(x,Q^2)$ are presented for $e^+p$ and $e^-p$ scattering. The data were taken with an incident lepton beam energy $E_e$ of $27.6\,{\rm GeV}$, whilst the energy of the unpolarised proton beam, $E_p$, was $920\,{\rm GeV}$. The longitudinal polarisation of the lepton beam was $\pm 35\%$ on average. The NC data cover the $Q^2$ range from $60$ to $50\,000\,{\rm GeV}^2$. Together with previous H1 measurements at lower $Q^2$, down to $\sim1\,{\rm GeV}^2$~\cite{h1lowestq2,h1pdf2009}, the data cover almost five orders of magnitude in kinematic reach. The high $Q^2$ NC and CC data presented here give unique constraints on the proton PDFs for Bjorken $x$ in the range $0.0008\leq x\leq 0.65$ which is of direct relevance to all predictions for $pp$ scattering at the LHC~\cite{LHCPrimer}. In particular, production cross sections of new high mass states in the LHC kinematic domain are very sensitive to the high $x$ PDFs constrained by DIS data. The data extend to very high $Q^2$ which allows structure functions sensitive to the interference of photon and $Z$ boson exchange to be measured. These ``interference structure functions" access the difference of quark and anti-quark distributions, with $xF_3^{\gamma Z}$, and a combination of their sums, with $F_2^{\gamma Z}$. They are measured by using both the charge and polarisation dependence of the NC cross section, providing an improved determination of $xF_3^{\gamma Z}$ and a very first measurement of $F_2^{\gamma Z}$. The measured inclusive cross sections are combined with previously published unpolarised HERA\,I measurements to provide a single coherent set of cross sections. The sensitivity and kinematic reach of these data enable a dedicated QCD analysis to be performed on H1 data alone. The fit procedure takes into account all point-to-point correlated systematic uncertainties yielding a new determination of PDFs and their uncertainties, termed H1PDF\,2012. This paper is organised as follows: in section~\ref{sec:theory} the definitions of the inclusive NC and CC cross sections are given together with their relation to the proton structure functions and PDFs. In section~\ref{sec:det} the H1 detector and trigger system are described as well as the HERA polarimeters. The simulation programmes and Monte Carlo models used in the analysis are discussed in section~\ref{sec:mc}. In section~\ref{sec:expt} the analysis procedure is given starting with a description of the kinematic reconstruction methods, calibration and alignment of the detector, and followed by the event selection and assessment of the systematic uncertainties of the measurements. The QCD analysis method is explained in section~\ref{sec:qcdana} and the results are presented in section~\ref{sec:results}. The paper is summarised in section~\ref{sec:summary}. %\input{Theory} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{Neutral and Charged Current Cross Sections} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \label{sec:theory} \subsection{Neutral Currents} The differential cross section for $e^{\pm}p$ scattering after correction for QED radiative effects can be expressed in terms of generalised proton structure functions $\tilde{F}$ as \begin{equation} \frac{\rm{d}^2\sigma^{\pm}_{\rm NC}}{{\rm d}x{\rm d}Q^2}= \frac{2\pi\alpha^2}{xQ^4}(Y_+\tilde{F}_2^\pm \mp Y_-x\tilde{F}_3^\pm-y^2\tilde{F}_L^\pm) \cdot (1+\Delta_{\rm NC}^{\rm weak})\,, \label{eq:ncxsec} \end{equation} where $Y_{\pm}=1\pm(1-y)^2$ and $y$ characterises the inelasticity of the interaction. The fine structure constant is defined as $\alpha\equiv\alpha(Q^2=0)$ and the weak radiative corrections\footnote{The weak corrections are typically smaller than $1\%$ and never more than $3\%$ at the highest $Q^2$ and are not applied to the measured cross sections.} $\Delta_{\rm NC}^{\rm weak}$ are defined as in~\cite{hector} in terms of $\alpha$ and the $Z$ and $W$ boson masses which are taken to be $M_Z=91.187\,{\rm GeV}$ and $M_W=80.410\,{\rm GeV}$. The generalised structure functions, $\tilde{F}_{2,3}$, may be written as linear combinations of the proton structure functions $F_{2}$, $F_{2,3}^{\gamma Z}$, and $F_{2,3}^{Z}$ containing information on QCD parton dynamics as well as on the electroweak (EW) couplings of the quarks to the neutral vector bosons~\cite{Klein:1983vs}. The structure function $F_{2}$ is associated to pure photon exchange terms, $F_{2,3}^{\gamma Z}$ correspond to photon-$Z$ interference terms and $F_{2,3}^{Z}$ describe the pure $Z$ exchange terms. In addition the generalised longitudinal structure function $\tilde{F}_L$ may be similarly decomposed, however this is an important contribution only at high $y$ and is expected to be negligible at large $x$ and $Q^2$. The linear combinations for $\tilde{F}_2$ and $x\tilde{F}_3$ in arbitrarily polarised $e^{\pm}p$ scattering with lepton polarisation $P_e$ are given by \begin{eqnarray} \tilde{F}^{\pm}_2 = F_2 - (v_e \pm P_e a_e) \kappa \frac{Q^2}{Q^2+M_Z^2} F_2^{\gamma Z} + (a_e^2+v_e^2 \pm P_e 2v_e a_e) \kappa^2 \left[\frac{Q^2}{Q^2+M_Z^2}\right]^2 F_2^Z \,, \label{eq:F2}\\ x\tilde{F}^{\pm}_3 = -(a_e \pm P_e v_e) \kappa \frac{Q^2}{Q^2+M_Z^2} xF_3^{\gamma Z} + (2a_ev_e \pm P_e [v_e^2 + a_e^2] ) \kappa^2 \left[\frac{Q^2}{Q^2+M_Z^2}\right]^2 xF_3^Z\,, \label{eq:F3} \end{eqnarray} with $\kappa^{-1}=4\frac{M_W^2}{M_Z^2}(1-\frac{M_W^2}{M_Z^2})$ in the on-mass-shell scheme. The quantities $v_e$ and $a_e$ are the vector and axial-vector couplings of the electron to the $Z$ boson. It can be seen from equations\,\ref{eq:F2} and \ref{eq:F3} that different combinations of structure functions may be experimentally determined by scattering longitudinally polarised leptons on unpolarised protons. In particular, since $v_e$ is small, a measurement of the polarisation asymmetry for fixed lepton charge allows the parity violating structure function $F_2^{\gamma Z}$ to be measured. In the quark-parton model (QPM), the hadronic structure functions are related to linear combinations of sums and differences of the quark and anti-quark momentum distributions $xq(x,Q^2)$ and $x\bar{q}(x,Q^2)$. The structure function $\tilde{F}_2$ is determined by the sum of quarks and anti-quark momentum distributions, whereas the structure function $x\tilde{F}_3$ is determined by the difference of quarks and anti-quark momentum distributions and is therefore sensitive to the valence quark distributions: \begin{eqnarray} \left[F_2,F_2^{\gamma Z},F_2^Z\right] &=& x\sum_q [e_q^2,2e_qv_q,v_q^2+a_q^2](q+\bar{q})\,, \\ \left[xF_3^{\gamma Z},xF_3^Z \right] &=& 2x \sum_q[e_qa_q,v_qa_q](q-\bar{q})\,. \label{eq:SF2} \end{eqnarray} Here $v_q$ and $a_q$ are the vector and axial-vector couplings of the quarks to the $Z$ boson and $e_q$ is the charge of the quark of flavour $q$. The reduced NC cross section is defined by \begin{equation} \tilde{\sigma}_{\rm NC}^{\pm}(x,Q^2)\equiv \frac{\rm{d}^2\sigma^{\pm}_{\rm NC}}{{\rm d}x{\rm d}Q^2}\frac{xQ^4}{2\pi\alpha^2}\frac{1}{Y_+}\equiv \left( \tilde{F}_2^\pm \mp \frac{Y_-}{Y_+}x\tilde{F}_3^\pm-\frac{y^2}{Y_+}\tilde{F}_L^\pm \right) (1+\Delta_{\rm NC}^{\rm weak})\,. \label{eq:Rnc} \end{equation} %%%%%%%%%%%%%%%%%%%%%% \subsection{Charged Currents} The differential CC cross section for $e^{\pm}p$ scattering of polarised leptons with unpolarised protons, corrected for QED radiative effects, can be expressed as \begin{equation} \frac{{\rm d}^2\sigma^{\pm}_{\rm CC}}{{\rm d}x {\rm d}\QQ} = (1\pm P_e) \frac{G_F^2}{4\pi x } \left[\frac{M_W^2}{M_W^2+Q^2} \right]^2 \left(Y_+ W^{\pm}_2 \mp Y_{-}xW^{\pm}_3 -y^2W^{\pm}_L \right ) \cdot (1+\Delta_{\rm CC}^{\rm weak})\,, \label{eq:ccxsec} \end{equation} where $G_F$ is the Fermi constant defined using the weak boson masses~\cite{hector}. Here $W^{\pm}_2$, $xW^{\pm}_3$ and $W^{\pm}_L$ are the structure functions for CC $e^{\pm}p$ scattering, and $\Delta^{\rm CC}_{\rm weak}$ represents the weak radiative corrections for CC interactions. % which is not applied to the measured cross sections. From equation\,\ref{eq:ccxsec} it can be seen that the cross section has a linear dependence on the polarisation of the electron beam $P_e$. For a fully right handed $e^-$ beam ($P_e=1$), or a fully left handed $e^+$ beam ($P_e=-1$) the cross section is identically zero in the Standard Model (SM). In the QPM $W^{\pm}_L\equiv 0$, and the structure functions $W^{\pm}_2$ and $xW^{\pm}_3$ are expressed as the flavour dependent sum and difference of the quark and anti-quark momentum distributions. In the CC case only the positively charged quarks contribute to $W^-$ mediated scattering and conversely only negatively charged quarks couple to the exchanged $W^+$ boson, thus \begin{eqnarray} W^-_2 \! &=&\! x(U+\overline{D})\,,\hspace{5.5mm} W^+_2 = x(\overline{U}+ D )\,,\\ xW^-_3 \!&=&\! x(U-\overline{D})\,,\hspace{3mm} xW^+_3 = x(D -\overline{U})\,, \end{eqnarray} where, below the $b$ quark mass threshold %\begin{eqnarray} \begin{equation} \label{eq:ud} U = u + c\,,~~ % \nonumber\\ \overline{U}= \bu + \bc\,,~~% \nonumber\\ D = d + s\,, ~~ %\nonumber\\ \overline{D}= \bd + \bs\,, %\end{eqnarray} \end{equation} where $u$, $d$, $s$, $c$ represent quark densities of each flavour in the standard notation. Here $U$ represents the sum of up-type, and $D$ the sum of down-type quark densities. The reduced CC cross section is then defined as \begin{equation} \label{eq:Rcc} \tilde{\sigma}_{\rm CC}(x,Q^2) \equiv \frac{4 \pi x}{ G_F^2} \left[ \frac {M_W^2+Q^2} {M_W^2} \right]^2 \frac{{\rm d}^2 \sigma_{\rm CC}}{{\rm d}x{\rm d}Q^2}\,\,. \end{equation} %\input{Detector} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{H1 Apparatus, Trigger and Data Samples} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \label{sec:det} \subsection{The H1 Detector} A detailed description of the H1 detector can be found elsewhere~\cite{h1detector,h1tracker,h1lar,spacal}. The coordinate system of H1 is defined such that the positive $z$ axis is in the direction of the proton beam (forward direction) and the nominal interaction point is located at $z=0$. The polar angle $\theta$ is then defined with respect to this axis. The detector components most relevant to this analysis are the Liquid Argon (LAr) calorimeter, which measures the positions and energies of particles over the range $4^\circ<\theta<154^\circ$, the inner tracking detectors, which measure the angles and momenta of charged particles over the range $7^\circ<\theta<165^\circ$, and a lead-fibre calorimeter (SpaCal) covering the range $153^\circ<\theta<177^\circ$. The LAr calorimeter consists of an inner electromagnetic section with lead absorbers and an outer hadronic section with steel absorbers. The calorimeter is divided into eight wheels along the beam axis, each consisting of eight absorber stacks arranged in an octagonal formation around the beam axis. The electromagnetic and the hadronic sections are highly segmented in the transverse and the longitudinal directions. Electromagnetic shower energies are measured with a resolution of $\delta E/E \simeq 0.11/\sqrt{E/{\rm GeV}} \oplus 0.01$ and hadronic energies with $\delta E/E \simeq 0.46/\sqrt{E/{\rm GeV}} \oplus 0.03$ as determined using electron and pion test beam data~\cite{Andrieu:1993tz,Andrieu:1994yn}. In the central region, $25^{\circ}<\theta<155^{\circ}$, the central tracking detector (CTD) measures the trajectories of charged particles in two cylindrical drift chambers immersed in a uniform $1.16\,{\rm T}$ solenoidal magnetic field. The CTD also contains a further drift chamber (COZ) between the two drift chambers to improve the $z$ coordinate reconstruction, as well as a multi-wire proportional chamber at inner radii (CIP) mainly used for triggering~\cite{Becker:2007ms}. The CTD measures charged particles with a transverse momentum resolution of $\sigma(p_T)/p_T\simeq 0.2\% \, p_T/{\rm GeV} \oplus 1.5\%$. The forward tracking detector (FTD) is used to supplement track reconstruction in the region $7^{\circ}<\theta<30^{\circ}$~\cite{Laycock:2012xg} and improves the hadronic final state reconstruction of forward going low momentum particles. The CTD tracks are linked to hits in the vertex detectors: the central silicon tracker (CST)~\cite{h1cst,h1cst2}, the forward silicon tracker (FST), and the backward silicon tracker (BST). These detectors provide precise spatial track reconstruction and therefore also improve the primary vertex spatial reconstruction. The CST consists of two layers of double-sided silicon strip detectors surrounding the beam pipe covering an angular range of $30^\circ<\theta<150^\circ$ for tracks passing through both layers. The FST consists of five double wheels of single-sided strip detectors~\cite{Glushkov:2007zz} measuring the transverse coordinates of charged particles. The BST design is very similar to the FST and consists of six double wheels of strip detectors~\cite{Kretzschmar:2008zz}. In the backward region the SpaCal provides an energy measurement for hadronic particles, and has a hadronic energy resolution of $\delta E/E \simeq 0.70/\sqrt{E/{\rm GeV}}\oplus 0.01$ and a resolution for electromagnetic energy depositions of $\delta E/E \simeq 0.07/\sqrt{E/{\rm GeV}}\oplus 0.01$ measured using test beam data~\cite{spacal_res}. It also provides a trigger used for efficiency estimations which is based on electromagnetic energy and timing information inside the calorimeter. The $ep$ luminosity is determined online by measuring the event rate for the Bethe-Heitler process of QED bremsstrahlung $ep \rightarrow ep\gamma$. The photons are detected in the photon tagger located at $z=-103\,{\rm m}$. An electron tagger is placed at $z=-5.4\,{\rm m}$ adjacent to the beam-pipe. It is used to provide information on $ep\rightarrow eX$ events at very low $Q^2$ (photoproduction) where the electron scatters through a small angle ($\pi - \theta < 5\,{\rm mrad}$). The overall normalisation is determined using a precision measurement of the QED Compton process~\cite{compton-lumi}. At HERA transverse polarisation of the lepton beam arises naturally through synchrotron radiation via the Sokolov-Ternov effect~\cite{sokolov-ternov}. Spin rotators installed in the beam-line on either side of the H1 detector allow transversely polarised leptons to be rotated into longitudinally polarised states and back again. The degree of polarisation is constant around the HERA ring and is continuously measured using two independent polarimeters LPOL~\cite{lpol} and TPOL~\cite{tpol}. The polarimeters are situated in beam-line sections in which the beam leptons have longitudinal and transverse polarisations, respectively. Both measurements rely on an asymmetry in the energy spectrum of left and right handed circularly polarised photons undergoing Compton scattering with the lepton beam. The TPOL measurement uses in addition a spatial asymmetry. The LPOL and TPOL measurements are averaged when both measurements are available, otherwise only one polarimeter measurement is used~\cite{pubpola}. \subsection{The Trigger} The H1 trigger system is a three level trigger with a first level latency of approximately $2\,\mu{\rm s}$. NC events at high $Q^2$ are triggered mainly using information from the LAr calorimeter. The calorimeter has a finely segmented pointing geometry allowing the trigger to select localised energy deposits in the electromagnetic section of the calorimeter pointing to the nominal interaction vertex. For electrons with energy above $11\,{\rm GeV}$ this is determined to be $100\%$ efficient using an independently triggered sample of events. At lower energies the triggers based on LAr information are supplemented by using additional information from the tracking detectors. The LAr calorimeter electronics allow scattered leptons to be triggered with energies as low as $5\,{\rm GeV}$, the minimum value considered in this analysis. This gives access to the high $y$ kinematic region. For electron energies of $5\,{\rm GeV}$, the combined trigger efficiency increases from $87\%$ to $92\%$ during the HERA\,II run due to several incremental improvements in the trigger set-up. The characteristic feature of CC events is a large missing transverse momentum, $P_T^{\rm miss}$, which is identified at the trigger level using the LAr calorimeter vector sum of energy within ``trigger towers'', i.e. groups of trigger regions with a projective geometry pointing to the nominal interaction vertex. At low $P_T^{\rm miss}$ the efficiency is enhanced by use of an additional trigger requiring hadronic energy %pointing to the event vertex in combination with track information from the inner tracking chambers. At $12\,{\rm GeV}$, the minimum $P_T^{\rm miss}$ considered in this analysis, the efficiency is $60\%$, rising to $90\%$ for $P_T^{\rm miss}$ of $25\,{\rm GeV}$. This is determined from the {\em pseudo CC} sample. This sample is constructed of NC events in which all information from the scattered lepton is suppressed (see section~\ref{sec:ccmeas}). The trigger energy sums are then recalculated for the remaining hadronic final state. This sample also provides a useful high statistics cross check of further aspects of the CC analysis. \subsection{Data Samples} \label{sec:datasets} The data sets used in this analysis are subdivided into samples or periods of left handed and right handed polarised lepton beams with polarisation $P_e=(N_R-N_L)/(N_R+N_L)$, where $N_R$ ($N_L$) is the number of right (left) handed leptons in the beam. The corresponding data sets are termed the $R$ and $L$ data sets respectively. The luminosity and longitudinal lepton beam polarisation for each data set are given in table~\ref{tab:lumi}. \begin{table}[h] \begin{center} \begin{tabular}{r|c|c} \hline & $R$ & $L$\\ \hline \multirow{2}{*}{$e^-p$} & $\mathcal{L}=47.3\,{\rm pb}^{-1}$ & $\mathcal{L}=104.4\,{\rm pb}^{-1}$ \\ & $P_e=(+36.0\pm 1.0)\%$ & $P_e=(-25.8\pm 0.7)\%$ \\ \hline \multirow{2}{*}{$e^+p$} & $\mathcal{L}=101.3\,{\rm pb}^{-1}$ & $\mathcal{L}=80.7\,{\rm pb}^{-1}$ \\ & $P_e=(+32.5\pm 0.7)\%$ & $P_e=(-37.0\pm 0.7)\%$ \\ \hline \end{tabular} \caption{ Table of integrated luminosities, $\mathcal{L}$, and luminosity weighted longitudinal lepton beam polarisation, $P_e$, for the data sets presented here.} \label{tab:lumi} \end{center} \end{table} %\input{Simulation} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{Simulation Programs} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \label{sec:mc} In order to determine acceptance corrections, DIS processes are generated at leading order (LO) QCD using the {\sc Djangoh\,1.4}~\cite{django} Monte Carlo (MC) simulation program which is based on {\sc Heracles\,4.6} \cite{heracles} for the electroweak interaction and on {\sc Lepto\,6.5.1}~\cite{lepto} for the hard matrix element calculation. The colour dipole model (CDM) as implemented in {\sc Ariadne} \cite{cdm} is used to generate higher order QCD dynamics. The {\sc Jetset\,7.410} program~\cite{jetset} is used to simulate the hadronisation process in the `string-fragmentation' model. Additional {\sc Djangoh} study samples are produced in which the higher order QCD effects are simulated using DGLAP inspired parton showers matched to the hard LO matrix element calculation, known as MEPS. The simulated events are produced with PDFs from a NLO QCD fit (HERAPDF1.0) which includes combined H1 and ZEUS low $Q^2$ and high $Q^2$ NC and CC data from HERA\,I~\cite{HERAPDF10}. In order to improve the precision with which the acceptance corrections are determined, the simulated cross sections are reweighted using the PDF set determined in this analysis, H1PDF\,2012 (see section~\ref{sec:qcdana}). %In both MEPS and CDM samples contributions to the cross section from %diffractive exchange are modelled using the Soft Colour Interaction %model~\cite{sci} as implemented in {\sc Lepto}. The dominant $ep$ background contribution to DIS is due to large cross section photoproduction ($\gamma p$) processes in which energetic $\pi^0\rightarrow\gamma\gamma$ decays or charged hadrons are mis-identified as the scattered electron in the NC channel, or hadronic final states produce large fake missing transverse momentum mimicking a CC interaction. These are simulated using the {\sc Pythia}\,6.224~\cite{Pythia6.2} generator with leading order parton distribution functions for the proton and photon taken from~\cite{Gluck:1991ee}. Additional small background contributions arise from elastic and inelastic QED Compton processes generated with the {\sc Wabgen} program~\cite{wabgen}; lepton pair production via two photon interactions simulated by the {\sc Grape} code~\cite{grape}; prompt photon production in which the photon may be mis-identified as an electron generated by {\sc Pythia}; and real $W^{\pm}/Z$ production samples produced with {\sc Epvec}~\cite{epvec}. % are included in the background simulation. %These additional background processes make only a small contribution %of less than $1\%$ throughout the kinematic region of the measurement. %Backgrounds from non-$ep$ sources such as cosmic rays and beam-gas %interactions are negligible. The detector response to events produced by the various generator programs is simulated in detail using a program based on {\sc Geant3}~\cite{Geant}. The simulation includes detailed time dependent modelling of detector noise conditions, beam optics, polarisation and inefficient channel maps reflecting actual running conditions throughout the HERA\,II data taking period. These simulated events are then subjected to the same reconstruction, calibration, alignment and analysis chain as the real data. %\input{ExpTechnique} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{Experimental Procedure} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \label{sec:expt} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \subsection{Kinematic Reconstruction} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \label{sec:kine} Precise reconstruction of the event kinematics is crucial for the measurement of DIS cross sections. In the NC channel several different methods are available due to the redundancy arising from the simultaneous reconstruction of the scattered lepton and the hadronic final state. In contrast the CC event kinematics can be reconstructed using only one method based on the measurement of the hadronic final state since the neutrino escapes the detector unobserved. Typically the quantities $Q^2$ and $y$ are reconstructed and $x$ is obtained via the relation $Q^2=sxy$. In NC interactions the properties of the scattered lepton are described in terms of its energy $E^{\prime}_e$ and polar scattering angle $\theta_e$ defined with respect to the proton direction. The hadronic final state (HFS) is characterised using the quantities $P_{T,h}=\sqrt{(\sum_i p_{x,i})^2+(\sum_i p_{y,i})^2}$ and $\Sigma=\sum_i(E_i-p_{z,i})$ where the summation is performed over all HFS particles $i$ assuming charged particles have the pion mass. Due to the large momentum of the incident proton in the lab frame compared to the electron, the HFS particles are often forward going (positive $z$) and lead to losses in the forward beam-pipe. The quantities $P_{T,h}$ and $\Sigma$ are chosen due to their relative insensitivity to these losses. The inclusive hadronic polar angle $\gamma_h$, defined by $\tan(\gamma_h/2)=\Sigma/P_{T,h}$, is used in the calibration procedure. In general the scattered lepton quantities are precisely determined whereas the hadronic quantities have moderate precision due to particle losses and fluctuations in the hadronic shower. Isolated low energy calorimeter deposits are classified as noise originating from electronic sources or back-scattered low energy particles and are excluded from the HFS. The HFS is measured using a sophisticated energy flow algorithm~\cite{hadroo1,hadroo2} which combines tracks with calorimetric energy measurements in an optimum way avoiding double counting. For each track (assumed to be a charged pion) the measured track uncertainties are compared to the expected calorimetric energy resolution. The track measurement alone is used to reconstruct the particle momentum if it has superior resolution except in cases where an excess of energy in the calorimeter is observed originating from neutral particles. This is then taken into account appropriately. If the expected calorimeter resolution is better, then either the calorimeter information alone is used to define the hadron momentum or, similarly to the previous case, a combination in which the track is used and the calorimeter energy is reduced appropriately. At high $Q^2$ and high $x$, corresponding to small $\gamma_h$, the HFS is dominated by one or more jets thus the complete HFS can be approximated by the sum of jet four-momenta corresponding to localised calorimetric energy sums above threshold. This technique allows a further suppression of noise in the hadronic reconstruction which is important in this kinematic region. Several reconstruction methods are used in the analysis for determining the kinematics and for providing systematic cross checks. The most precise method for $y\gtrsim 0.1$ is the $e$-method which relies solely on $E^{\prime}_e$ and $\theta_e$ to reconstruct the kinematic variables $Q^2$ and $y$ as: \begin{equation} Q^2_{e} = \frac{ (E^{\prime}_e \sin{\theta_e})^2}{ 1-y_e}\,, \hspace*{0.5cm} y_e =1- \frac{ E^{\prime}_e}{E_e} \sin^2\left(\frac{\theta_e}{2}\right) \,. \label{eq:emethod} \end{equation} This method is used in the NC analysis region $y>0.19$. The resolution of the $e$-method degrades at low $y$ and is also susceptible to large QED radiative corrections at the highest and lowest $y$. In the $\Sigma$-method \cite{sigma} $y$ is reconstructed as \mbox{$\Sigma/(\Sigma+E^{\prime}_e(1-\cos\theta_e))$} and is therefore less sensitive to QED radiative effects. The $e\Sigma$-method \cite{esigma} is an optimum combination of the two and maintains good resolution throughout the kinematic range of the NC measurement with acceptably small QED radiative corrections. The kinematics are determined using \begin{equation} Q^2_{e\Sigma} = Q^2_{e} = \frac{ (E^{\prime}_e \sin{\theta_e})^2}{ 1-y_e}\,, \hspace*{0.5cm} y_{e\Sigma} = 2 E_e \frac{\Sigma}{[\Sigma+E^{\prime}_e(1-\cos\theta_e) ]^2} \,. \label{eq:esmethod} \end{equation} The $e\Sigma$-method is employed to reconstruct the event kinematics for $y \leq 0.19$. In this phase space region the HFS is partially lost in the forward beam-pipe and the influence of noise on the HFS becomes large. In order to limit this effect the $e\Sigma$-method is modified such that the summation in the calculation of the quantity $\Sigma$ is performed only over hadronic jets. A longitudinally invariant $k_T$ jet algorithm~\cite{kt-jets1,kt-jets2} is used and further details are given in section~\ref{sec:ncmeas}. The double angle method (DA-method)~\cite{damethod1,damethod2} provides a useful technique for calibrating the electromagnetic (EM) and hadronic calorimeters using $\theta_e$ and $\gamma_h$ as input. Where the HFS is well contained within the detector ($y\gapprox 0.3$) the DA-method has good resolution and is to first order independent of the calorimeter energy scales. The following formulae are used to determine the kinematics: \begin{equation} Q^2_{DA} = \frac{4E_e^2\sin\gamma_h(1+\cos\theta_e)}{ \sin\gamma_h+\sin\theta_e-\sin(\theta_e+\gamma_h)}\,, \hspace*{0.5cm} y_{DA} = \frac{\sin\theta_e (1-\cos\gamma_h) }{ \sin\gamma_h+\sin\theta_e-\sin(\theta_e+\gamma_h)} \,. \label{eq:damethod} \end{equation} Finally for CC interactions the event kinematics may only be reconstructed by the $h$-method~\cite{jbmethod} which can be systematically studied using the NC sample. The $h$-method kinematic variables are reconstructed using the relations \begin{equation} Q^2_{h} = \frac{P_{T,h}^2}{ 1-y_{h}}\,, \hspace*{1cm} y_{h} = \frac{\Sigma}{ 2 \ E_e } \,. \label{eq:hmethod} \end{equation} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \subsection{Polar Angle Measurement and Energy Calibration} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \label{sec:calib} In neutral current interactions the polar angle of the scattered lepton, $\theta_e$, is determined using the position of its energy deposit (cluster) in the LAr calorimeter, and the event vertex reconstructed with tracks from charged particles. The relative alignment of the calorimeter and tracking chambers is determined using a sample of events with a well measured lepton track~\cite{tran} in which the COZ chambers provide an accurate $z$ spatial reconstruction of the particle trajectory. The lepton track is helically extrapolated to an octagonal surface with inner radius $r=105\,{\rm cm}$ positioned axially along the beam line. The shape describes the inner surface of the LAr calorimeter. The $z$ position of the intersection of the track trajectory and this surface defines the quantity $z_{imp}$. The electron cluster barycentre is extrapolated to the same surface along a straight line from the interaction vertex. The distance between the extrapolated track and cluster is then minimised with respect to the six alignment parameters for LAr (three shifts and three rotations about the coordinate axes) keeping the CTD position fixed. Four additional parameters are introduced to allow independent shifts in $z$ for each LAr wheel. The procedure is performed on data and checked on MC simulation to ensure that no spurious misalignments from the method appear. The alignment parameters are obtained for each of four periods when the detector was moved between data taking periods. The residual discrepancy in $\Delta\theta=\theta_{\rm track}-\theta_{\rm clus}$ between data and simulation determines the systematic uncertainty on the measurement of $\theta_e$ and is shown in figure~\ref{fig:align}. The uncertainty is taken to be $1\,\rm{mrad}$. Cross checks are performed using the alternative $\Delta\phi$ alignment method~\cite{nikiforov} in which the difference in azimuthal angle between track and cluster is studied as a function of $\phi_{\rm track}$. Minimisation of this difference constrains three rotations of the calorimeter about the tracker and two translations in $x$ and $y$. The $z$ translation is constrained by minimising the distribution of $\Delta\theta$. This method is found to agree well with the default alignment procedure. An {\em in situ} energy calibration of the electromagnetic part of the LAr calorimeter is performed using the method described in~\cite{nikiforov} for both data and simulation. Briefly, a sample of NC events in which the HFS is well contained in the detector is used with the DA-method to predict the scattered lepton energy which is then compared to the measured electromagnetic energy response allowing local calibration factors to be determined in a finely segmented grid in $z$ and $\phi$. The events used in the calibration are required to have $E^{\prime}_e>14\,{\rm GeV}$; $44\,{\rm GeV}{\rm 10}^{\circ}$ to ensure good containment of the HFS and $y_{\Sigma}<0.3$ for $z_{\rm imp}\leq 20\,{\rm cm}$ or $y_{\Sigma}<0.5$ for $20\,{\rm cm}890\,{\rm GeV}^2$) for which the minimum electron energy is $11\,{\rm GeV}$ and the {\em high y} analysis ($0.632\,{\rm GeV}$. In figure~\ref{fig:jet-control-ele} the quality of the simulation and its description of the $e^-p$ data for $y_e<0.19$ can be seen for the distributions of the $P_{T,h}/P_{T,e}$, $\gamma_h$, and $E-P_z$ where all HFS quantities are obtained using the vector sum of jet four-momenta. %energy within the jets. Distributions for the $e^+p$ sample are also shown in figure~\ref{fig:jet-control-pos}. Overall both sets of distributions are well described in shape by the simulation. At low $y$, the forward going hadronic final state particles can undergo interactions with material of the beam pipe. In some cases the products of these secondary interactions are incorrectly assigned as originating from the primary vertex, producing a bias in the determination of the primary interaction vertex position. Such cases are recognised and corrected by considering a vertex position calculated using a stand alone reconstruction of the track associated with the electron cluster~\cite{nikiforov,shushkevich}. For the nominal analysis the photoproduction contribution is low, and this allows the electron candidate track verification in the region $\theta\geq30^{\circ}$ to be supplemented with an alternative method which increases efficiency. For NC events with no CTD track associated to the electron cluster, the track verification is achieved by searching for hits in the CIP located on the line from the interaction vertex to the electron cluster. This optimised treatment of the vertex determination and verification of the electron cluster with the tracker information improves the reliability of the vertex position determination and increases the efficiency of the procedure to $99.5\%$. \subsubsection{High y Analysis} In the {\em high y} region the neutral current analysis is extended to lower energies of the scattered electron, $E_e^{\prime}>5\,{\rm GeV}$. At low energies photoproduction background contributions arise due to $\pi^0\rightarrow \gamma \gamma$ decays and charged hadrons being mis-identified as electron candidates. Part of this background is suppressed by requiring a well measured track linked to the calorimeter cluster. The track is furthermore required to have the same charge as the beam lepton. The remaining background in the correctly charged sample is estimated from the number of data events in which the detected lepton has opposite charge to the beam lepton. A charge asymmetry can arise due to the different detector response to particles compared to anti-particles, in particular $p$ and $\bar{p}$~\cite{Adloff:2000qk,h1fl2010}. By taking into account the charge asymmetry between negative and positive background, the background estimate is statistically subtracted from the correctly charged sample. The charge asymmetry between fake lepton candidates in the $e^+p$ and $e^-p$ data sets is determined by measuring the ratio of wrongly charged fake scattered lepton candidates in $e^+p$ and $e^-p$ scattering, taking into account the difference in luminosity. The asymmetry is found to be $1.03\pm 0.05$. This is cross checked using a sample of photoproduction events in which the scattered electron is detected in the electron tagger. Further details are given in~\cite{shushkevich,habib}. The $e$-method using scattered lepton variables alone has the highest precision in this region of phase space and is used to reconstruct the event kinematics. Figure~\ref{fig:hiy-control-ele} shows the scattered lepton energy spectrum, the polar angle distribution and the $E-P_z$ spectrum of the {\em high y} sample for the $e^-p$ data before background subtraction and the simulation to which the background, obtained from wrongly charged lepton candidates in the data, is added. The corresponding distributions for the $e^+p$ data can be seen in figure~\ref{fig:hiy-control-pos}. The NC simulation provides a good description of these distributions. The difference between data and simulation in the $E-P_z$ spectrum is well within the systematic uncertainty of the hadronic calibration which at high $y$ depends largely on the SpaCal (see table~\ref{tab:syserr}). %The background, obtained from wrongly charged lepton candidates in the data, is also shown. %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \subsection{Charged Current Measurement Procedure} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \label{sec:ccmeas} The selection of charged current events requires a large missing transverse momentum, $P_T^{\rm miss}\equiv P_{T,h}\geq 12\,{\rm GeV}$, assumed to be carried by an undetected neutrino. The event must also have a well defined reconstructed vertex. The kinematic variables $y$ and $Q^2$ are determined using the $h$-method. In order to restrict the measurement to a region with good kinematic resolution the events are required to have $y_h<0.85$. In addition the measurement is confined to the region with sufficiently high trigger efficiency by demanding $y_h>0.03$. This criterion also restricts the measurement to the region where any bias in the interaction vertex position due to forward going hadronic final state particles is limited and well modelled. The $ep$ background is dominated by photoproduction and is suppressed by exploiting the correlation between $P_{T,h}$ and the ratio $V_{ap}/V_{p}$ of transverse energy flow anti-parallel and parallel to the hadronic final state transverse momentum vector~\cite{placakyte,tran}. This variable provides good discrimination between the CC signal which lies at small $V_{ap}/V_{p}$ and large $P_{T,h}$, and the background which lies at large $V_{ap}/V_{p}$ and small $P_{T,h}$. For $P_{T,h}>25\,{\rm GeV}$, $V_{ap}/V_{p}<0.25$ is required. For smaller transverse momenta the maximum allowed ratio is reduced as a parabolic function of $P_{T,h}$ such that at $12\,{\rm GeV}$ values down to $V_{ap}/V_{p}=0.10-0.12$ are accepted depending on the different data sets since the relative photoproduction contributions differ for the four $R$/$L$ $e^{\pm}p$ samples. The residual $ep$ background is negligible for most of the measured kinematic domain, though it reaches $15\%$ at the lowest $Q^2$ and the highest $y$. The simulation is used to estimate this contribution which is subtracted statistically from the CC data sample. A systematic uncertainty of $30\%$ is attributed to the photoproduction background. The non-$ep$ background is rejected as described in~\cite{h1hiq2,placakyte} by removing events with topologies typical of cosmic ray and beam-gas interaction background as well as events with timing inconsistent with the HERA bunch crossing intervals. All efficiencies in the CC analysis can be reliably determined from the {\em pseudo CC} data samples of NC events, free from background contamination, in which all information associated to the scattered electron is suppressed. The production of the samples involves the identification of the scattered lepton and subsequent deletion of all calorimetric energies associated to the cluster. All trigger related energy sums are recalculated after removal of the trigger towers associated with the electron. Finally all CTD hits in a road around the electron trajectory are deleted. After removal of this information the events are passed through the standard H1 software chain to fully reconstruct the event including all particle trajectories and the interaction vertex. The {\em pseudo CC} samples are then reweighted to the CC cross section employing the original $e\Sigma$ kinematic quantities using H1PDF\,2012. The {\em pseudo CC} samples are produced for each data taking period to accurately describe running conditions as closely as possible. A potential bias in the method is studied by comparing {\em pseudo CC} data with {\em pseudo CC} simulation using NC {\sc Djangoh} samples which are processed in the same way. In all cases the {\em pseudo CC} data and {\em pseudo CC} MC are found to provide adequate descriptions of each measured efficiency and also compare well to standard {\sc Djangoh} CC simulation after the application of additional adjustment factors as described below. Any remaining discrepancies are accounted for in the systematic uncertainties as described in section~\ref{sys:sel}. The {\em pseudo CC} data are used to give a precise measure of the CC trigger efficiency for each data taking period separately. The efficiency is measured in each $x,Q^2$ bin and the simulation is reweighted to describe the observed behaviour. The efficiency is found to be $79\%$ at $Q^2= 300\,{\rm GeV}^2$ and reaches $98\%$ at $Q^2\geq3\,000\,{\rm GeV}^2$. The $e^{+}p$ and $e^{-}p$ distributions for $P^{\rm miss}_{T}$ and $E-P_z$ are shown for data and simulation in figure~\ref{fig:cc-control}. The spectra are well described by the simulation. %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \subsection{Cross Section Measurement} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \label{sec:xsec} For both the NC and CC analyses the selected event samples are corrected for detector acceptance, efficiencies and migrations using the simulation and converted to QED corrected cross sections. The quality of the simulation, in which all selection efficiency effects are included, is shown in figures~\ref{fig:align}-\ref{fig:cc-control} and gives a reliable determination of detector acceptance. The accessible kinematic ranges of the measurements depend on the resolution of the reconstructed kinematics and are determined by requiring the purity and stability of any measurement bin to be larger than $30\%$ as determined from signal MC. The purity is defined as the fraction of events generated and reconstructed in a measurement bin from the total number of events reconstructed in the bin. The stability is the ratio of the number of events generated and reconstructed in a bin to the number of events generated in that bin. The detector acceptance, $\mathcal{A}$, is obtained from the ratio of stability divided by purity and corrects the measured signal event yields for detector effects including resolution smearing and selection efficiency. The measured differential cross sections $\sigma(x,Q^2)$ are then determined using the relation \begin{eqnarray} \sigma(x,Q^2) = \frac{N-B}{\mathcal{L}\cdot\mathcal{A}}\cdot{\mathcal C} \cdot \left(1+\Delta^{\rm QED}\right) \,, \end{eqnarray} where $N$ and $B$ are the selected number of data events and the estimated number of background events respectively, $\mathcal{L}$ is the integrated luminosity, $\mathcal{C}$ is the bin centre correction, and $(1+\Delta^{\rm QED})$ are the QED radiative corrections. The bin centre correction ${\mathcal C(x_c,Q^2_c)}$ is a factor obtained from NLO QCD expectation using H1PDF\,2012, $\sigma^{th}$, and scales the bin integrated cross section to a differential cross section at the kinematic point $x_c,Q^2_c$ defined as \begin{eqnarray} {\mathcal C}(x_c,Q^2_c) =\frac{\sigma^{th}(x_c,Q^2_c)} {\iint_{bin}{\small {\rm d}x{\rm d}Q^2}\,\,\,\sigma^{th}(x,Q^2)}\,. \end{eqnarray} The single differential cross sections are obtained using the obvious extensions to the formulae given above. The DIS cross sections $\sigma$ can be factorised as \begin{eqnarray} \sigma = \sigma^{\rm Born}(1+\Delta^{\rm QED})(1+\Delta^{\rm weak})\,, \end{eqnarray} where $\sigma^{\rm Born}$ is the Born cross section and $\Delta^{\rm QED}$ are the QED radiative corrections. The measured cross sections presented in section~\ref{sec:results}, in which the effects of QED radiation have been corrected for, correspond to the differential cross sections ${\rm d}^2 \sigma/{\rm d}x{\rm d}Q^2$ defined in equations\,\ref{eq:ncxsec} and \ref{eq:ccxsec}. The QED radiative corrections are defined in~\cite{h19497,h1hiq2} and are calculated to first order in $\alpha$ using the program {\sc Heracles}~\cite{heracles} as implemented in {\sc Djangoh}~\cite{django} and verified with the numerical analysis programs {\sc Hector}~\cite{hector} and {\sc Eprc}~\cite{eprc}. In order to retain sensitivity to higher order EW effects in the measured cross sections, no $\Delta^{\rm weak}$ corrections are applied to the measurements. New measurements of the unpolarised cross sections are also performed. The $L$ and $R$ data sets for $e^+p$ and $e^-p$ scattering are merged and the cross sections are measured with a resulting small residual polarisation of $+1.7\%$ in $e^+p$ and $-6.6\%$ in $e^-p$ data. This remaining polarisation is corrected for using the H1PDF\,2012 fit to yield HERA\,II cross sections with $P_e=0$. %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \subsection{Systematic Uncertainties} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \label{sys:sel} The uncertainties on the measurement lead to systematic errors on the cross sections, which can be split into bin-to-bin correlated and uncorrelated parts. All the correlated systematic errors are found to be symmetric to a good approximation and are assumed so in the following. The total systematic error is formed by adding the individual errors in quadrature. The size of each systematic uncertainty source and its region of applicability are given in table~\ref{tab:syserr}. Further details can be found elsewhere~\cite{tran,shushkevich,placakyte,nikiforov,kogler}. The influence of the systematic uncertainties on the NC and CC cross section measurements are given in tables~\ref{tab:ncdxdq2_eleLH}-\ref{tab:nchighy_pos}, and their origin and method of estimation are discussed below. \begin{table}[ht]\footnotesize \begin{center} \begin{tabular}{ l|c|r } \hline \multicolumn{2}{ l }{{\bf Source}} & {\bf Uncertainty} \\ \hline \multirow{5}{*}{Electron energy scale} & $z_{\rm imp} \leq -150\,{\rm cm}$ & $0.5\%$ unc. $\oplus$ $0.3\%$ corr. \\ %bbe & $-150 < z_{\rm imp} \leq -60\,{\rm cm}$ & $0.3\%$ unc. $\oplus$ $0.3\%$ corr. \\ %cb1 & $-60 < z_{\rm imp} \leq +20\,{\rm cm}$ & $0.5\%$ unc. $\oplus$ $0.3\%$ corr. \\ %cb2 & $+20 < z_{\rm imp} \leq +110\,{\rm cm}$ & $0.5\%$ unc. $\oplus$ $0.3\%$ corr. \\ %cb3 & $z_{\rm imp} > +110\,{\rm cm}$ & $1.0\%$ unc. $\oplus$ $0.3\%$ corr. \\ %fb+ \hline Electron scale linearity & $E_e^{\prime}<11\,{\rm GeV}$ & $0.5\%$ \\ \hline \multirow{2}{*}{Hadronic energy scale} & LAr \& Tracks & $1.0\%$ unc. $\oplus$ $0.3\%$ corr. \\ & SpaCal & $5.0\%$ unc. $\oplus$ $0.3\%$ corr. \\ \hline Polar angle &$\theta_e$ & $1\,{\rm mrad}$ corr.\\ %&$\gamma_h$ & $3$~mrad \\ \hline \multirow{3}{*}{Noise} & NC $y<0.19$ & $5\%$ energy not in jets , corr.\\ & NC $y>0.19$ & $20\%$ corr.\\ & CC & $20\%$ corr.\\ \hline \multirow{5}{*}{NC trigger efficiency} & $e^+p$ 2003-2004 & $0.5\%$ \\ & $e^-p$ 2004-2005 & $0.6\%$ \\ & $e^-p$ 2006 & $0.5\%$ \\ & $e^+p$ 2006-2007 & $0.3\%$ \\ & NC {\em high $y$} & $0.5-1.2\%$ \\ \hline \multirow{2}{*}{Electron track and vertex efficiency} &$\theta_e>50^{\circ}$ & $0.2\%$ \\ &$\theta_e<50^{\circ}$, NC {\em high $y$} & $1.0\%$ \\ \hline Electron charge determination & NC {\em high $y$} & $0.5\%$ \\ \hline Electron ID efficiency & $z_{\rm imp}<20\,{\rm cm}\ ( \geq 20\,{\rm cm})$ & $0.2\%\ (1.0\%)$ \\ \hline \multirow{2}{*}{Background} & NC, CC: $\gamma p$ & $30\%$ corr.\\ & CC: NC (others) & $10\%\ (20\%)$ corr.\\ \hline Background $\gamma p$ charge asymmetry & NC {\em high $y$} & $1.03 \pm 0.05$ corr.\\ \hline CC trigger efficiency ($\epsilon$) & & $15\%\cdot(1-\epsilon) \oplus 0.2\%$ \\ \hline CC vertex efficiency & $y\geq 0.15\ (<0.15)$ & $1.5\%\ (3.0\%)$ \\ \hline CC background finder efficiency & $y\geq 0.08\ (<0.08)$ & $1.0\%\ (2.0\%)$ \\ \hline CC $V_{ap}/V_p$ bg suppression cut & & $\pm 0.02$ corr.\\ \hline \multirow{3}{*}{QED radiative corrections } & NC $x<0.1 \, , \, 0.1 \leq x<0.3 \, , \, x\geq0.3$ & $0.3/1.0/2.0\%$ \\ & NC {\em high y} & $1.0\%$ \\ & CC kinematics dependent & $\sim 1.0-2.0\%$ \\ \hline \multirow{3}{*}{Acceptance corrections} & NC $e^{\pm}p$: $Q^2 \leq 5000 \ (> 5000)\,{\rm GeV}^2$ & $0.2\% \ (1.0\%)$ \\ & CC $e^-p$: $Q^2 \leq 5000 \ (> 5000)\,{\rm GeV}^2$ & $0.2\% \ (1.0\%)$ \\ & CC $e^+p$: $Q^2 \leq 5000 \ (> 5000)\,{\rm GeV}^2$ & $0.5\% \ (3.0\%)$ \\ \hline %\multirow{2}{*}{Polarisation } Polarisation & LPOL (TPOL) & $2.0\% \ (1.9\%$) \\ \hline Luminosity & & $2.3\%$ corr. $\oplus$ $1.5\%$ unc.\\ \hline \end{tabular} \caption{ Table of applied systematic uncertainties and regions of applicability. Uncertainties which are considered point-to-point correlated are labelled corr. and correspond to the sources listed in table~\ref{tab:correlation}. All other sources are considered uncorrelated. The effect of these uncertainties on the cross section measurements are given in the tables of section~\ref{sec:results}. } \label{tab:syserr} \end{center} \end{table} \begin{description} %{\bf Electron Energy Uncertainty:} \item[Electron Energy Uncertainty:] The calibration of the electromagnetic part of the LAr calorimeter is performed using a subset of NC data. Uncertainties arise from the particular choice of calibration samples, the linearity correction uncertainty, and at very high $Q^2$ from the limited statistics due to the sharply decreasing NC cross section. The uncertainty varies for each wheel of the LAr calorimeter and values are listed in table~\ref{tab:syserr}. The correlated part of the uncertainty comes from the residual global shift between data and MC in the kinematic peak of the $E_{e}^{\prime}$ distribution (shown in figure~\ref{fig:nc-control}) after the calibration procedure and is determined to be $0.3\%$. It results in a correlated systematic error on the NC cross section which is up to $2\%$ at low $y$ and $Q^2 \lesssim 1\,000\,{\rm GeV}^2$, increasing to $\sim 4\%$ at larger $Q^2$. %{\bf Hadronic Calibration Uncertainty:} \item[Hadronic Calibration Uncertainty:] An uncorrelated uncertainty of $1\%$ is obtained for the hadronic energy measurement. The uncertainty is determined by quantifying the agreement between data and simulation in the mean of the $P_{T,h}/P_{T,DA}$ distribution in each $x,Q^2$ measurement bin by means of pull distributions. The pull is defined as the difference in the mean values divided by the uncertainty which includes the uncorrelated hadronic calibration component. An uncertainty of $1\%$ yields a pull distribution which is Gaussian distributed, centred on zero, and with unit standard deviation. A $0.3\%$ correlated component to the uncertainty is considered which originates from the calibration method due to the uncertainty of the reference scale~\cite{kogler}. The resulting correlated systematic error is typically below $1\%$ for NC and CC cross sections, and the uncorrelated component is up to $5\%$ at large $x$. %{\bf Polar Angle Uncertainty:} \item[Polar Angle Uncertainty:] A correlated $1\,{\rm mrad}$ uncertainty on the determination of the electron polar angle is considered, accounting for any remaining discrepancy in the measurements of $\theta_{\rm clus}$ and $\theta_{\rm track}$ after the alignment procedure described in section~\ref{sec:calib}. The uncertainty accommodates differences between periods due to changes in the tracking capability of the detector for example when the FST or the CST were not fully operational during data taking. This leads to a typical uncertainty on the NC reduced cross section of less than $1\%$, increasing at high $x$. %{\bf Noise Subtraction Uncertainty:} \item[Noise Subtraction Uncertainty:] Energy classified as noise in the LAr calorimeter is excluded from the HFS. For $y<0.19$ in the NC analysis the calorimetric energy not contained within hadronic jets is classified as noise. The uncertainty on the subtracted noise is estimated to be $5\%$ of the noise contribution. This variation encompasses all observed differences between data and simulation in the ratio of $P_{T,h}/P_{T,e}$ in each $x,Q^2$ measurement bin in this kinematic region. Changing the jet algorithm to the SIScone method~\cite{siscone}, varying the minimum jet transverse momentum $p_{T,jet}$ by $50\%$, and varying the jet radius parameter by $25\%$ all have a minor effect on the resulting distribution of $P_{T,h}/P_{T,e}$ and deviations are contained within the $5\%$ scaling of hadronic energy not associated with a jet. For the CC analysis and for $y>0.19$ in the NC analysis the noise contribution is defined as the sum of isolated low energy calorimetric depositions. In this kinematic region the contribution is small and a conservative uncertainty of $20\%$ of the noise is assigned to accommodate differences between data and simulation. As a cross check this same noise definition is used for $y<0.19$ and it is verified that a $20\%$ noise variation also encompasses any difference between data and simulation. The check results in larger event migrations outside the measured region compared to using the default jet method in this kinematic region. This source of systematic uncertainty gives rise to a correlated systematic error at low $y$ comparable to or smaller than the correlated electron energy scale uncertainty except for $x\geq 0.4$ and $Q^2 \lesssim 5\,000\,{\rm GeV}^2$ in the NC measurements where the uncertainty due to noise rises to $5-10\%$. %{\bf NC Trigger Efficiency Uncertainty:} \item[NC Trigger Efficiency Uncertainty:] The uncertainty on the trigger efficiency in the NC {\em nominal} analysis is determined separately for each data taking period to account for changing trigger and beam conditions (using several dedicated monitor triggers). Three trigger requirements are employed: the global timing, the event timing and the calorimeter energy. The efficiency of global timing criteria to suppress out of time beam related background was continuously monitored with high precision and found to be $99\%$ initially rising to $100\%$ at the end of the HERA\,II running period. The efficiency of the calorimeter energy trigger requirements is determined in a fine grid in $z_{\rm imp}$ and $\phi_e$, the azimuthal angle of the scattered lepton. Time dependent local regions of the calorimeter with efficiencies of less than $99\%$ are rejected in the analysis ~\cite{nikiforov}. Finally the event timing trigger requirements were also continuously monitored in the data. After rejection of local inefficient regions the overall trigger efficiency is close to $100\%$ and the uncertainty is listed in table~\ref{tab:syserr}. %{\bf NC {\em high y} Trigger Efficiency Uncertainty:} \item[NC {\em high y} Trigger Efficiency Uncertainty:] The trigger efficiency estimate for the {\em high y} analysis involves several strategies due to the complex nature of the trigger designed to record low energy electrons in a high hadronic background environment. All efficiencies are measured individually in each data taking period. The efficiency of the electron calorimeter energy requirement is estimated using events triggered by the HFS in the SpaCal. This method allows the trigger energy threshold to be accurately measured and any potential bias is controlled by comparing this efficiency with that determined from events triggered by the HFS in the LAr. The same global timing and event timing conditions as mentioned above are used in the {\em high y} triggers. Finally the triggers place conditions on the charged particle multiplicity. The efficiency of these track requirements is measured with a variety of independent control samples and the uncertainty is determined from the level of agreement between them~\cite{shushkevich}. Taking all contributions to the trigger condition into account leads to an error of between $0.5$ to $1.2\%$ on the high $y$ cross sections. %{\bf Electron Track-Vertex Efficiency Uncertainty:} \item[Electron Track-Vertex Efficiency Uncertainty:] In the NC analysis the efficiency for reconstructing a track associated to the scattered lepton and for reconstructing the interaction vertex are determined simultaneously. The efficiency measurement is performed using a control selection of clean NC events with $4550^{\circ}$ and $1\%$ for $\theta_e\leq50^{\circ}$ and is considered to be uncorrelated since a number of different vertex reconstruction algorithms are employed. In the {\em high y} analysis the efficiency is checked using a sample of QED Compton events which is limited in statistical precision and a $1\%$ uncertainty is adopted~\cite{shushkevich}. %{\bf Electron Charge Identification Efficiency Uncertainty:} \item[Electron Charge Identification Efficiency Uncertainty:] In the NC {\em high y} analysis the efficiency for correct charge identification of the scattered lepton is measured in the region $15 20\,{\rm cm}$~\cite{shushkevich}. %{\bf Background Subtraction Uncertainty:} \item[Background Subtraction Uncertainty:] In the CC and the NC {\em nominal} analysis the photoproduction background is estimated from simulation and a $30\%$ uncertainty on the subtracted photoproduction background is assigned. A background dominated control sample is used to determine the size of this uncertainty. For both analyses the control samples consist of events passing the complete CC or {\em nominal} NC analysis selections in addition to the requirement of an energetic electron observed upstream in the electron tagger. Such events arise from photoproduction interactions in which the HFS observed in the main detector gives rise to a fake electron signature or fake missing transverse momentum in the NC and CC analyses respectively. Due to the restricted acceptance of the electron tagger the background samples have limited statistical precision but simulation provides a reasonable description of the data within the estimated uncertainty. For the CC analysis the region of $V_{ap}/V_p>0.3$ is exclusively populated by photoproduction background. The data distribution is well described in shape and normalisation within the quoted uncertainty. In the {\em high y} analysis, simulation is not used to estimate the background contribution, nevertheless the tagged sample electron energy spectrum is well described in shape by the simulation within an overall normalisation uncertainty of $30\%$. This source results in a correlated systematic error of typically $\lesssim 1\%$ for the NC {\em nominal} analysis and CC cross sections. In the CC analysis a background contribution of NC events arises in which the scattered lepton is poorly measured in the detector close to uninstrumented regions. Such contributions are suppressed by a set of topological algorithms to identify such events. The algorithms search for single isolated CTD tracks not recognised as from the scattered electron and opposite to the HFS~\cite{placakyte}, or search for low energy electromagnetic clusters associated to a CTD track with low calorimetric activity around the cluster and well separated from the remaining HFS~\cite{tran}. These background contributions are well simulated and subtracted using simulation. A $10\%$ uncertainty on the amount subtracted is considered. %{\bf NC {\em high y} Background Subtraction Uncertainty:} \item[NC {\em high y} Background Subtraction Uncertainty:] In the NC {\em high y} analysis the photoproduction background is estimated from wrongly charged fake lepton candidates directly from the data as described in section~\ref{sec:ncmeas}. The asymmetry in the charge of fake leptons is measured to be $N^-/N^+=1.03\pm0.05$ where $N^-$ is the number of fake $e^-$ candidates and $N^+$ is the number of fake $e^+$ candidates. The ratio is measured independently for $L$ and $R$ data samples and also for two different energy regions of the fake lepton. All results are consistent within the large statistical uncertainties and are combined. The resulting uncertainty on the measured cross sections is found to be less than $1\%$~\cite{shushkevich}. %{\bf CC Trigger Efficiency Uncertainty:} \item[CC Trigger Efficiency Uncertainty:] For the CC analysis the efficiency is determined using the {\em pseudo CC} data samples and the CC simulation is corrected in each $x$, $Q^2$ measurement bin. In an alternative approach the efficiency is measured and parameterised as a function of $P_{T}^{\rm miss}$ and $\gamma_h$ determined using calorimetric information only to mimic the trigger algorithms; the resulting differences agree within $15\%$ of the inefficiency which is taken as the systematic uncertainty. Whilst the {\em pseudo CC} sample benefits from the excellent kinematic resolution from the suppressed electron and high statistics from the large NC cross section, at high $Q^2$ approaching the EW scale (where the efficiency is close to $100\%$) the NC and CC cross sections are of similar magnitude and therefore the {\em pseudo CC} sample has similar statistical uncertainty as the CC sample itself. Thus for $P_{T}^{\rm miss}>25\,{\rm GeV}$ the complete HERA\,II data are combined to estimate the efficiency in this region after first checking for consistency between the periods. An uncertainty of $0.2\%$ is included to accommodate any remaining influence from the lack of statistical precision. %{\bf CC Vertex Efficiency Uncertainty:} \item[CC Vertex Efficiency Uncertainty:] The CC vertex finding efficiency is estimated using the {\em pseudo CC} data and MC samples and is compared to the efficiency estimate from the CC simulation within the range $-355\,000\,{\rm GeV}^2$. For CC $e^+p$ the changes are $0.5\%$ for $Q^2<5\,000\,{\rm GeV}^2$ and $3.0\%$ for $Q^2>5\,000\,{\rm GeV}^2$. %{\bf Polarisation Uncertainty:} \item[Polarisation Uncertainty:] The independent polarisation measurements from the TPOL and LPOL have a relative uncertainty $\delta P/P=1.9\%$ and $2.0\%$ respectively. In general the polarimeter measurements agree to within $1.5\%$ although variations with time are observed and folded into the final quoted polarisation uncertainties on the measured cross sections presented here. In three run periods the disagreement rises to $5-10\%$ affecting approximately $16\,{\rm pb}^{-1}$ of the luminosity. In these periods the uncertainty is enlarged~\cite{pubpola}. %{\bf Luminosity Uncertainty:} \item[Luminosity Uncertainty:] The luminosity is measured using elastic QED Compton events~\cite{compton-lumi} with an uncertainty of $2.3\%$, of which $1.1\%$ is from the uncertainty in the theoretical calculation of the elastic QED Compton process. In addition, there is a $1.5\%$ normalisation uncertainty on each data taking period, originating from time-dependent corrections when extrapolating the QED Compton analysis to smaller datasets. \end{description} In summary the typical total systematic error is substantially reduced compared to previous H1 publications~\cite{h19497,h19899,h1hiq2,h1ccpol} to about $1.5\%$ for the NC double differential cross sections, and $4\%$ for the CC double differential cross sections. For the ${\rm d} \sigma_{\rm NC(CC)} / {\rm d} Q^2$ measurements, the error is typically $1.3\%$ (NC) and $3\%$ (CC). This reduction is achieved through a better understanding of the response of the detector and in particular for the hadronic and EM calibrations, as well as the reconstruction of polar angles. Further detailed studies also allow reductions in the systematic uncertainties of the electron identification and the trigger efficiency. %\input{QCD} \section{QCD Analysis} \label{sec:qcdana} % % To assess the impact of the H1 NC and CC cross sections at high $Q^2$ measured with the longitudinally polarised lepton beams on the determination of PDFs, a new QCD analysis (H1PDF\,2012) is performed. In addition to the new HERA\,II data presented here, the previously published unpolarised HERA\,I data at high $Q^2$~\cite{h19497,h19899,h1hiq2} and at low $Q^2$ \cite{h1fl2010}, as well as the H1 measurements at lower proton beam energies~\cite{h1fl2010} are used, as shown in table~\ref{tab:dataset}. % This analysis supersedes the previous H1PDF\,2009 fit \cite{h1pdf2009}. % \renewcommand{\arraystretch}{1.22} % increase space between table rows \begin{table}[htb] \scriptsize \begin{center} \begin{tabular}{l|l|l|r|r|c|r|c} \hline Data set & $x_{\rm min}$ & $x_{\rm max}$ & $Q^2_{\rm min}$ &$Q^2_{\rm max}$ & $\delta \mathcal{L}$ & Ref. & Comment \\ & & & ($\rm{GeV}^2$) & ($\rm{GeV}^2$) & $(\%)$ & & \\ \hline $e^+$ Combined low $Q^2$ & $0.00004$ & $0.20$ & $0.5$ & $150$ & $0.5$ &~\cite{h1fl2010} & $\sqrt{s}= 301, 319 ~\rm{GeV}$\\ \hline $e^+$ Combined low $E_p$ & $0.00003$ & $0.003$ & $1.5$ & $90$ & $0.5$ &~\cite{h1fl2010} & $\sqrt{s}= 225, 252 $~$\rm{GeV}$\\ \hline $e^+$ NC $94$-$97$ & $0.0032 $ & $0.65$ & $150$ & $30\,000$ & \multirow{2}{*}{$0.5\oplus 1.4$} & \multirow{2}{*}{\cite{h19497}} & \multirow{2}{*}{$\sqrt{s}=301$~$\rm{GeV}$}\\ $e^+$ CC $94$-$97$ & $0.013 $ & $0.40$ & $300$ & $15\,000$ & & & \\ $e^-$ NC $98$-$99$ & $0.0032$ & $0.65$ & $150$ & $30\,000$ & \multirow{3}{*}{$0.5\oplus 1.7$} & \multirow{2}{*}{\cite{h19899}} & \multirow{2}{*}{ $\sqrt{s}=319$~$\rm{GeV}$}\\ $e^-$ CC $98$-$99$ & $0.013 $ & $0.40$ & $300$ & $15\,000$ & & & \\ $e^-$ NC $98$-$99$ {\em high $y$}& $0.00131$ & $0.0105$ & $100$ & $800$ & & \multirow{3}{*}{\cite{h1hiq2}} & $\sqrt{s}= 319$~$\rm{GeV}$\\ $e^-$ NC $99$-$00$ & $0.0032$ & $0.65$ & $150$ & $30\,000$ & \multirow{2}{*}{$0.5\oplus 1.4$} & & $\sqrt{s}= 319$~$\rm{GeV}$; incl. {\em high $y$}\\ $e^+$ CC $99$-$00$ & $0.013 $ & $0.40$ & $300$ & $15\,000$ & & & $\sqrt{s}= 319$~$\rm{GeV}$\\ \hline $e^+$ NC {\em high $y$} & $0.0008$ & $0.0105$ & $60$ & $800$ & $2.3\oplus 1.0 \oplus 1.1$ & & $\sqrt{s}= 319$~$\rm{GeV}$\\ $e^-$ NC {\em high $y$} & $0.0008$ & $0.0105$ & $60$ & $800$ & $2.3\oplus 1.2\oplus 0.8$ & & $\sqrt{s}= 319$~$\rm{GeV}$\\ $e^+$ NC $L$ & $0.002 $ & $0.65$ & $120$ & $30\,000$ & \multirow{2}{*}{$2.3\oplus 1.5$} & & \multirow{4}{*}{$\sqrt{s}=319$~$\rm{GeV}$}\\ $e^+$ CC $L$ & $0.008$ & $0.40$ & $300$ & $15\,000$ & & & \\ $e^+$ NC $R$ & $0.002 $ & $0.65$ & $120$ & $30\,000$ & \multirow{2}{*}{$2.3\oplus 1.5$} & & \\ $e^+$ CC $R$ & $0.008$ & $0.40$ & $300$ & $15\,000$ & & & \\ %\hline $e^-$ NC $L$ & $0.002$ & $0.65$ & $120$ & $50\,000$ & \multirow{2}{*}{$2.3\oplus 1.5$} & & \multirow{4}{*}{$\sqrt{s}=319$~$\rm{GeV}$}\\ $e^-$ CC $L$ & $0.008$ & $0.40$ & $300$ & $30\,000$ & & & \\ $e^-$ NC $R$ & $0.002$ & $0.65$ & $120$ & $30\,000$ & \multirow{2}{*}{$2.3\oplus 1.5$} & & \\ $e^-$ CC $R$ & $0.008$ & $0.40$ & $300$ & $15\,000$ & & & \\ %\hline \hline \end{tabular} \end{center} \caption[RESULT] { \label{tab:dataset} Table of data sets used in the QCD fit. The normalisation uncertainties of each data set ($\delta \mathcal{L}$) are given as well as the kinematic ranges in $x$ and $Q^2$. When there are two uncertainties shown, the first one corresponds to the correlated error across the data sets and the second one is the uncertainty of the relevant data sets. The second and third uncertainties of the NC {\em high $y$} analyses represent the corresponding uncertainties of the $L$ and $R$ data sets, respectively.} \end{table} \renewcommand{\arraystretch}{1.00} % set table row spacing back to default \subsection{Analysis Framework and Settings} \label{sec:ansatz} % % The present QCD analysis uses the {\sc HERAFitter} framework~\cite{HERAPDF10, h1pdf2009}, an open source software package based on the QCD evolution code {\sc QCDNUM} (v17.04)~\cite{qcdnum}. % The fit strategy follows closely the one adopted for the determination of the HERAPDF1.0 sets~\cite{HERAPDF10}. % The QCD predictions for the differential cross sections are obtained by solving the DGLAP evolution equations~\cite{gb72a,gb72b,l75,d77,ap77} at NLO in the $\overline{\rm MS}$ scheme with the renormalisation and factorisation scales chosen to be $Q$. % The heavy quark coefficient functions are calculated in the RT general-mass variable-flavour-number scheme~\cite{rt97}. % The result is cross checked against the ACOT scheme variant~\cite{acot} that takes full account of quark masses. % The heavy quark masses for charm, $m_c=1.4\,{\rm GeV}$ and beauty, $m_b=4.75\,{\rm GeV}$ are chosen following~\cite{rt10}. % The strong coupling constant is fixed to $\alpha_s(M^2_Z)=0.1176$~\cite{pdg2008}, as used for the HERAPDF1.0 NLO sets. % The $\chi^2$ function which is minimised using the MINUIT package~\cite{MINUIT} is defined similarly to \cite{HERAPDF10} as \begin{equation} \chi^2=\sum_i\frac{\left[ \mu_i - m_i\left(1-\sum_j\gamma_j^i b_j\right) \right]^2}{\delta_{i,{\rm unc}}^2 m_i^2+\delta_{i,{\rm stat}}^2\mu_i m_i\left(1-\sum_j\gamma_j^i b_j\right)} +\sum_j b_j^2 + \sum_i \ln \frac{\delta_{i,{\rm unc}}^2 m_i^2+\delta_{i,{\rm stat}}^2\mu_i m_i}{\delta_{i,{\rm unc}}^2 \mu_i^2+\delta_{i,{\rm stat}}^2\mu_i^2}, \label{eq:chi2} \end{equation} where $m_i$ is the theoretical prediction and $\mu_i$ is the measured cross section at point $i$, $(Q^2,x,s)$ with the relative statistical and uncorrelated systematic uncertainty $\delta_{i,{\rm stat}}$, $\delta_{i,{\rm unc}}$, respectively. % The above $\chi^2$ definition takes into account that the quoted uncertainties are based on measured cross sections, which are subject to statistical fluctuations. Therefore one needs to correct for possible biases by using the expected instead of the observed number of events with the corresponding errors scaled accordingly. % The correlations between data points caused by systematic uncertainties are also taken into account in the fit via the $\chi^2$ definition, with $\gamma_j^i$ denoting the relative correlated systematic uncertainties and $b_j$ their shifts with a penalty term $\sum_j\!b^2_j$ added. % A $\ln$ term is introduced in addition which arises from the likelihood transition to $\chi^2$ when the scaling of the errors is applied. % % The systematic uncertainties for the polarised measurements of the high $Q^2$ HERA\,II NC {\it nominal} and {\it high y} and CC cross sections are described in detail in section~\ref{sys:sel}. % The correlations among the uncertainty sources across the data sets are summarised in table~\ref{tab:correlation}. % The new measurements reported here have a common normalisation uncertainty of $2.3\%$ originating from the luminosity measurement based on the QED Compton analysis ($\delta^{{\cal L}5}$ in table~\ref{tab:correlation}). % Each data set has an additional uncorrelated normalisation uncertainty of $1.5\%$ ($\delta^{{\cal L}6}-\delta^{{\cal L}9}$ in table~\ref{tab:correlation}). The uncertainty is correlated for all measurement points within the data set. % The uncorrelated normalisation uncertainty for the unpolarised HERA\,II NC {\it high y} data is a luminosity weighted average of the left and right handed polarised periods. %% The combined low $Q^2$ data set has $47$ sources of uncertainty which are assumed to be uncorrelated with those of the high $Q^2$ data sets and are not listed in table~\ref{tab:correlation} but are described in~\cite{h1fl2010}. % The only exception is the common normalisation uncertainty of $0.5\%$ arising from the theoretical uncertainty in the Bethe-Heitler cross section. % This is considered to be correlated with all HERA\,I data sets ($\delta^{{\cal L}1}$ in table~\ref{tab:correlation}). % The combined data with low proton beam energies has nine sources of correlated systematic uncertainty that are treated independently from all other sources except for $\delta^{{\cal L}1}$. % % For the polarised HERA\,II data there is an additional source of uncertainty arising from the polarisation measurement as described in section~\ref{sys:sel}. % This affects the construction of the theoretical differential cross sections and it is accounted for in the QCD fit procedure by allowing the polarisation to vary within its uncertainties as follows: \begin{equation} P_e^i = P_e^i\cdot (1\pm \delta^{Pi})\hspace{2mm} {\rm with} \hspace{2mm} \delta^{Pi}=\delta_{\rm unc}^i \cdot b_{\rm unc}^i\oplus\gamma_{\rm TPOL}^i \cdot b_{\rm TPOL}\oplus\gamma_{\rm LPOL}^i \cdot b_{\rm LPOL}, \label{eq:polar} \end{equation} with index $i$ representing the four different data running periods ($\delta^{P1}-\delta^{P4}$ in table~\ref{tab:correlation}). % The values for $\delta_{\rm unc}$, $\gamma_{\rm TPOL}$, and $\gamma_{\rm LPOL}$ are listed in table~\ref{tab:syserr_voica}. % They correspond to the uncorrelated uncertainties and to the two uncertainties for the polarisation determination method (LPOL, TPOL) which are correlated across different data sets. % Note that the uncorrelated uncertainties $\delta_{\rm unc}$ are still correlated for measurements within a data set. % The free parameters $b^i_{\rm unc}$, $b_{\rm TPOL}$ and $b_{\rm LPOL}$ are free parameters of the QCD fit. % \renewcommand{\arraystretch}{1.22} % increase space between table rows \begin{table}[htp] \begin{center} \begin{tabular}{l|cccccccccc} \hline Data set & \multicolumn{2}{c}{$\delta^{\cal L}$} & $\delta^E$ & $\delta^{\theta}$ & $\delta^h$ &$\delta^N$& $\delta^B$& $\delta^V$& $\delta^S$ & $\delta^{\rm pol}$ \\ \hline $e^+$ Combined low $Q^2$ & $\delta^{{\cal L}1} $ &&&&&&&&& \\ \hline $e^+$ Combined low $E_p$ & $\delta^{{\cal L}1} $ &&&&&&&&& \\ \hline $e^+$ NC $94$-$97$ & $\delta^{{\cal L}1}$ & $\delta^{{\cal L}2}$ & $\delta^{E1}$ &$\delta^{\theta1}$ & $\delta^{h1}$ & $\delta^{N1}$ & $\delta^{B1}$ & $-$ & $-$ & $-$ \\ $e^+$ CC $94$-$97$ & $\delta^{{\cal L}1}$ & $\delta^{{\cal L}2}$ & $-$ &$-$ & $\delta^{h1}$ & $\delta^{N1}$ & $\delta^{B1}$ & $\delta^{V1}$ & $-$ & $-$\\ $e^-$ NC $98$-$99$ & $\delta^{{\cal L}1}$ & $\delta^{{\cal L}3}$ & $\delta^{E1}$ &$\delta^{\theta2}$ & $\delta^{h1}$ & $\delta^{N1}$ & $\delta^{B1}$ & $-$ & $-$ & $-$\\ $e^-$ NC $98$-$99$ {\em high $y$} & $\delta^{{\cal L}1}$ & $\delta^{{\cal L}3}$ & $\delta^{E1}$ & $\delta^{\theta 2}$ & $\delta^{h1}$ & $\delta^{N1}$ & $-$ & $-$ & $\delta^{S1}$ &$-$\\ $e^-$ CC $98$-$99$ & $\delta^{{\cal L}1}$ & $\delta^{{\cal L}3}$ & $-$ &$-$ & $\delta^{h1}$ & $\delta^{N1}$ & $\delta^{B1}$ & $\delta^{V2}$ & $-$ & $-$\\ $e^+$ NC $99$-$00$ & $\delta^{{\cal L}1}$ & $\delta^{{\cal L}4}$ & $\delta^{E1}$ & $\delta^{\theta 2}$ & $\delta^{h1}$ & $\delta^{N1}$ & $\delta^{B1}$ & $-$ & $\delta^{S1}$ & $-$\\ $e^+$ CC $99$-$00$ & $\delta^{{\cal L}1}$ & $\delta^{{\cal L}4}$ & $-$ &$-$ & $\delta^{h1}$ & $\delta^{N1}$ & $\delta^{B1}$ & $\delta^{V2}$ & $-$ & $-$\\ \hline $e^+$ NC {\em high $y$} & $\delta^{{\cal L}5}$ & $\delta^{{\cal L}6}, \delta^{{\cal L}7}$ & $\delta^{E2}$ &$\delta^{\theta3}$ & $\delta^{h2}$ & $\delta^{N2}$ &$-$ & $-$ & $\delta^{S2}$ & $-$\\ $e^-$ NC {\em high $y$} & $\delta^{{\cal L}5}$ & $\delta^{{\cal L}8}, \delta^{{\cal L}9}$ & $\delta^{E2}$ &$\delta^{\theta3}$ & $\delta^{h2}$ & $\delta^{N2}$ & $-$ & $-$ & $\delta^{S2}$ & $-$ \\ $e^+$ NC $L$ & $\delta^{{\cal L}5}$ & $\delta^{{\cal L}6}$ & $\delta^{E2}$ &$\delta^{\theta3}$ & $\delta^{h2}$ & $\delta^{N2}$ & $\delta^{B1}$ & $-$ & $-$ & $\delta^{P1}$\\ $e^+$ CC $L$ & $\delta^{{\cal L}5}$ & $\delta^{{\cal L}6}$ & $-$ &$-$ & $\delta^{h2}$ & $\delta^{N3}$ & $\delta^{B1}$ & $\delta^{V3}$ & $-$ & $\delta^{P1}$\\ $e^+$ NC $R$ & $\delta^{{\cal L}5}$ & $\delta^{{\cal L}7}$ & $\delta^{E2}$ &$\delta^{\theta3}$ & $\delta^{h2}$ & $\delta^{N2}$ & $\delta^{B1}$ & $-$ & $-$ & $\delta^{P2}$ \\ $e^+$ CC $R$ & $\delta^{{\cal L}5}$ & $\delta^{{\cal L}7}$ & $-$ &$-$ & $\delta^{h2}$ & $\delta^{N3}$ & $\delta^{B1}$ & $\delta^{V3}$ & $-$ & $\delta^{P2}$\\ $e^-$ NC $L$ & $\delta^{{\cal L}5}$ & $\delta^{{\cal L}8}$ & $\delta^{E2}$ &$\delta^{\theta3}$ & $\delta^{h2}$ & $\delta^{N2}$ & $\delta^{B1}$ & $-$ & $-$ & $\delta^{P3}$ \\ $e^-$ CC $L$ & $\delta^{{\cal L}5}$ & $\delta^{{\cal L}8}$ & $-$ &$-$ & $\delta^{h2}$ & $\delta^{N3}$ & $\delta^{B1}$ & $\delta^{V3}$ & $-$ & $\delta^{P3}$ \\ $e^-$ NC $R$ & $\delta^{{\cal L}5}$ & $\delta^{{\cal L}9}$ & $\delta^{E2}$ &$\delta^{\theta3}$ & $\delta^{h2}$ & $\delta^{N2}$ & $\delta^{B1}$ & $-$ & $-$ & $\delta^{P4}$\\ $e^-$ CC $R$ & $\delta^{{\cal L}5}$ & $\delta^{{\cal L}9}$ & $-$ &$-$ & $\delta^{h2}$ & $\delta^{N3}$ & $\delta^{B1}$ & $\delta^{V3}$ & $-$ & $\delta^{P4}$ \\ \hline \end{tabular} \end{center} \caption { Correlation of systematic error sources across different data sets. For each of the nine correlated systematic error sources one or more parameters are included in the fit procedure. The sources considered are due to the luminosity uncertainty ($\delta^{\mathcal{L}}$), the electron energy uncertainty ($\delta^E$), the electron polar angle measurement ($\delta^{\theta}$), the hadronic energy uncertainty ($\delta^{h}$), the uncertainty due to noise subtraction ($\delta^{N}$), the background subtraction error ($\delta^{B}$), the uncertainty in measurement of the ratio $V_{ap}/V_{p}$ ($\delta^{V}$), the error of the background charge asymmetry ($\delta^{S}$), and the error of the polarisation measurement ($\delta^{\rm pol}$). The table entries indicate the correlation of the error sources across the data sets. For example, the uncertainty due to the noise subtraction is the same for all data sets in HERA\,I leading to one common parameter in the fit ($\delta^{N1}$), whereas the $V_{ap}/V_p$ uncertainty has two independently varying parameters ($\delta^{V1}$ and $\delta^{V2}$) for the CC HERA\,I data sets.} \label{tab:correlation} \end{table} \renewcommand{\arraystretch}{1.00} % set table row spacing back to default \begin{table}[htp] \begin{center} \begin{tabular}{l|c|cc} \hline $\delta^{Pi}$ (Period) & $\delta_{\rm unc}$ (\%)& $\gamma_{\rm LPOL}$ (\%)& $\gamma_{\rm TPOL}$ (\%) \\ \hline $\delta^{P1}$ ($e^+ L$) & $1.7$& $0.34$& $0.36$ \\ $\delta^{P2}$ ($e^+ R$) & $2.0$& $0.48$& $0.37$ \\ $\delta^{P3}$ ($e^- L$) & $2.6$& $0.59$& $0.53$ \\ $\delta^{P4}$ ($e^- R$) & $2.7$& $0.55$& $0.58$ \\ \hline \end{tabular} \end{center} \caption{Uncorrelated and correlated uncertainties of the polarisation measurement for each HERA\,II running period.} \label{tab:syserr_voica} \end{table} % The HERA data have a minimum invariant mass of the hadronic system, $W$, of $15$\,$\rm{GeV}$ and a maximum $x$ of $0.65$, such that they are in a kinematic region where there is no sensitivity to target mass effects and large-$x$ higher-twist contributions. % A minimum $Q^2$ cut of $Q^2_{\rm min}=3.5\,{\rm GeV}^2$ is imposed to remain in the kinematic region where perturbative QCD should be applicable. %% %% \subsection{Parameterisations} \label{sec:qcdparam} % Fits to determine PDFs require an ansatz for the parametrisation as a function of $x$ at the starting scale $Q^2_0$ of the evolution, here chosen to be $1.9$ $\rm{GeV}^2$, below the charm threshold. % The parametrised PDFs are chosen to be the valence quark distributions $xu_v$, $xd_v$, the $u$-type and $d$-type anti-quark distributions $x\overline{U}$ and $x\overline{D}$ and the gluon distribution $xg(x)$, according to the sensitivity of the H1 data to the PDFs. % The following functional forms are considered: \begin{eqnarray} && xf(x)=A_fx^{B_f}(1-x)^{C_f}(1+D_fx+E_fx^2)\,,\\ && xg(x)=A_g x^{B_g}(1-x)^{C_g} (1+D_g x+E_g x^2) - A^{\prime}_{g}x^{B^{\prime}_{g}}(1-x)^{C^{\prime}_{g}}\,, \end{eqnarray} where the $A$ to $E$ are the parameters of the fit specified below. % The parametric form for the gluon allows extra flexibility in the low $x$ region, and $C^{\prime}_{g}$ is set to $25$ to suppress the negative contribution at high $x$. % Relaxing the parameter $C^{\prime}_g$ does not cause significant changes to the fit results. %% % The normalisation parameters, $A_{u_v}$ and $A_{d_v}$, are constrained by the quark number sum rules and $A_g$ by the momentum sum rule. % Since the H1 data have little sensitivity to the light sea flavour decomposition, additional assumptions are imposed. % The strange quark distribution is expressed as an $x$-independent fraction, $f_s$, of the $d$-type sea, $f_s=x\overline{s}/x\overline{D}$, at the starting scale, with $f_s=0.31$ as preferred by neutrino-induced di-muon production~\cite{neutrino}. % The $B$ parameters $B_{\overline{U}}$ and $B_{\overline{D}}$, responsible for the shape at low $x$, are set equal, such that there is a single $B$ parameter for the sea distributions. % The constraint $ A_{\overline{U}} =A_{\overline{D}}(1-f_s)$ is applied to ensure that $x\overline{u} \to x\overline{d}$ as $x \to 0$. %% %% The optimal parametrisation is found through a scanning procedure which iteratively adds parameters according to the data precision and PDF sensitivity. % Starting with a basic parametric form with $9$ parameters and all $D$ and $E$ parameters set to zero and without the negative gluon term, a series of $10$ parameter fits are performed with all combinations of one extra parameter except for the negative gluon term where two extra parameters are added. % The fit resulting in the lowest $\chi^2$ is then chosen as the best $10$ parameter fit. % The process is continued adding one extra parameter till no significant improvement in $\chi^2$ is obtained. % This results in a best fit with $13$ parameters which is taken as the central fit. No further significant $\chi^2$ reduction is achieved with $14$ parameters. % Due to more precise data from HERA\,II an enhanced flexibility is allowed for the valence quark parameterisations compared to the H1PDF\,2009 fit, with $E_{u_v} \neq 0$ and independent parameters $B$ for the up and down valence quark distributions. % The resulting parameterisations at the starting scale $Q^2_0$ are \begin{eqnarray} %xg(x) &=& A_gx^{\mathbf{B_g}}(1-x)^{\mathbf{ C_g}}- \mathbf{A^{'}_g} x^{\mathbf{B^{'}_g}}(1-x)^{25}\,,\\ %xu_v(x) &=& A_{u_v}x^{\mathbf{ B_{u_v}}} (1-x)^{\mathbf{ C_{u_v}}}\left(1+\mathbf{E_{u_v}}x^2\right)\,,\\ %xd_v(x) &=& B_{d_v}x^{\mathbf{ B_{d_v}}}(1-x)^{\mathbf{C_{d_v}}}\,,\\ %x\overline{U}(x) &=& A_{\overline{U}}x^{B_{\overline{U}}}(1-x)^{\mathbf{C_{\overline{U}}}}\,,\\ %x\overline{D}(x) &=& \mathbf{A_{\overline{D}}} x^{\mathbf{ B_{\overline{D}}}}(1-x)^{\mathbf{C_{\overline{D}}}}\,. xg(x) &=& A_gx^{B_g}(1-x)^{C_g}- A^{\prime}_g x^{B^{\prime}_g}(1-x)^{25}\,,\\ xu_v(x) &=& A_{u_v}x^{B_{u_v}} (1-x)^{C_{u_v}}\left(1+E_{u_v}x^2\right)\,,\\ xd_v(x) &=& A_{d_v}x^{B_{d_v}}(1-x)^{C_{d_v}}\,,\\ x\overline{U}(x) &=& A_{\overline{U}}x^{B_{\overline{U}}}(1-x)^{C_{\overline{U}}}\,,\\ x\overline{D}(x) &=& A_{\overline{D}} x^{B_{\overline{D}}}(1-x)^{C_{\overline{D}}}\,. \end{eqnarray} % % The uncertainties in the PDF determinations arise from experimental uncertainties as well as from assumptions in the QCD analysis. % The PDF experimental uncertainties are estimated using a Monte Carlo technique~\cite{Jung:2009eq}. % The method consists of preparing $N$ replica data sets in which the central values of the cross sections fluctuate within their statistical and systematic uncertainties taking into account all point-to-point correlations. % The preparation of the data is repeated $N\simeq 400$ times and for all these replicas complete NLO QCD fits are performed to extract $400$ different PDF sets. % The one standard deviation band of the experimental PDF uncertainties is estimated using the root-mean-squared of the PDF sets obtained for the replicas. % The band is then attributed to the central fit resulting in an asymmetric uncertainty, as the central fit does not necessarily coincide with the mean of the $N$ replicas. % Parametrisation uncertainties correspond to the set of $14$ parameter fits considered in the $\chi^2$ optimisation (compared to the $13$ parameter central value fit) and to the variations of the starting scale $Q_0^2$. % %This is The uncertainties are constructed as an envelope built from the maximal deviation at each $x$ value from the central fit. % The variations of $Q^2_0$ mostly increase the PDF uncertainties of the sea and gluon at small $x$. % Model uncertainties are evaluated by varying the input assumptions and follow the variations adopted in HERAPDF1.0~\cite{HERAPDF10}. % The variation of input values chosen for the central fit is specified in table~\ref{tab:fitvariation}. % The strange quark fraction is varied between $0.23$ and $0.38$~\cite{MSTW2008}. % However, recent results from the ATLAS collaboration~\cite{atlasstrange} hint at an unsuppressed strange quark sea distribution with $f_s=0.5$ that exceeds the variation range for $f_s$, as given above. % This value of $f_s$ is also studied. The difference between the central fit and the fits corresponding to model variations of $f_s$, $Q^2_{\rm min}$, the charm quark mass $m_c$ and the beauty quark mass $m_b$ are added in quadrature, separately for positive and negative deviations, and represent the model uncertainty of the H1PDF\,2012 fit. \renewcommand{\arraystretch}{1.22} % increase space between table rows \begin{table}[htb] \begin{center} \begin{tabular}{l|c|c|c} \hline Parameter & Central Value & Lower Limit & Upper Limit \\ \hline $f_s$ & $ 0.31 $ & $0.23$ & $0.38$ \\ $ m_c$\,($\rm{GeV}$) & $1.4$ & $1.35$ (for $Q^2_0=1.8$\,$\rm{GeV}$) & $1.65$ \\ $ m_b$\,($\rm{GeV}$) & $4.75$ & $4.3$ & $5.0$ \\ $ Q^2_{\rm min}$\,($\rm{GeV}^2$) & $3.5$ & $2.5$ & $5.0$ \\ \hline $ Q^2_{0}$\,($\rm{GeV}^2$) & $1.9$ & $1.5$ ($f_s=0.29$) & $2.5$ ($m_c=1.6$, $f_s=0.34$) \\ \hline \end{tabular} \caption{Central values of input parameters to the QCD fit and their variations.} \label{tab:fitvariation} \end{center} \end{table} \renewcommand{\arraystretch}{1.00} % set table row spacing back to default The total PDF uncertainty is obtained by adding in quadrature the experimental, model and parametrisation uncertainties. %\input{Results} %%%%%%%%%%%%%%%%% \section{Results} %%%%%%%%%%%%%%%%% \label{sec:results} %--------------------------------------------- \subsection{NC and CC Double Differential Cross Sections} %--------------------------------------------- \label{sec:dxdq2} \subsubsection{Measurements with Polarised Lepton Beams} The reduced cross sections $\tilde{\sigma}_{\rm NC,CC}(x, Q^2)$ measured in the kinematic range $120 \leq Q^2\leq 50\,000\,{\rm GeV}^2$ and $0.002\leq x\leq 0.65$ for NC, and $300 \leq Q^2\leq 30\,000\,{\rm GeV}^2$ and $0.008\leq x\leq 0.4$ for CC are shown in figures~\ref{fig:ncdxdq2_ele}-\ref{fig:ccdxdq2_pos} and given in tables~\ref{tab:ncdxdq2_eleLH}-\ref{tab:ccdxdq2_posRH}. The NC cross sections corresponding to the left and right handed polarised lepton beams $e^\pm$ (figures~\ref{fig:ncdxdq2_ele} and \ref{fig:ncdxdq2_pos}) are found to agree at low $Q^2~(\lesssim1\,000\,{\rm GeV}^2)$. At higher $Q^2$ and at high $y$, deviations are observed between the measured cross sections of the $L$ and $R$ data sets as expected from the parity violation of $Z$ boson exchange at high $Q^2$. The CC reduced cross sections for the $L$ and $R$ data sets are very different for all $Q^2$ (figures~\ref{fig:ccdxdq2_ele} and \ref{fig:ccdxdq2_pos}) as parity violation is maximal with $W$ boson exchange. These cross sections %, corresponding to different left and right handed polarised data sets, agree well with the H1PDF\,2012 fit, which is also shown. Both the statistical and systematic precision have substantially improved with respect to the corresponding measurements from HERA\,I with the unpolarised lepton beams. The NC reduced cross sections for $e^\pm p$ collisions in the phase-space of $0.19x\overline{d}$ at large $x$. % The PDF parameters obtained from the QCD analysis are presented in table~\ref{tab:fitparam}. % Since the measured polarisation values are allowed to vary in the fit procedure within their uncertainties, the corresponding shift parameters are minimised together with the PDF parameters and are shown in table~\ref{tab:polparam}. % They are found to have little correlation with the PDF parameters. % \begin{table}[htb] \begin{center} \begin{tabular}{l|rc} \hline Parameter & \multicolumn{2}{c}{Central value} \\%Global Correlation Coefficient\\ \hline $B_g$ & $ 0.020$& \\%& 0.99 \\ $C_g$ & $ 6.4$& \\%& 0.98 \\ $A^{\prime}_g$ & $ 0.30$& \\%& 0.99 \\ $B^{\prime}_g$ & $-0.27$& \\% & 0.98 \\ $B_{u_v}$ &$ 0.70$& \\%& 0.98 \\ $C_{u_v}$ &$ 4.9$& \\%& 0.94 \\ $E_{u_v}$ &$ 12$& \\%& 0.98 \\ $B_{d_v}$ &$ 0.97$& \\%& 0.97 \\ $C_{d_v}$ &$ 5.2$& \\%& 0.96 \\ $C_{\bar{U}}$ & $ 3.4$& \\% & 0.97\\ $A_{\bar{D}}$ & $ 0.17$& \\% & 0.95\\ $B_{\bar{D}}$ & $-0.15$& \\%& 0.96 \\ $C_{\bar{D}}$ & $ 9.7$& \\%& 0.97\\ \hline \end{tabular} \end{center} \caption{Parameters of the central fit.} \label{tab:fitparam} \end{table} \begin{table}[htb] \begin{center} \begin{tabular}{l|r} \hline Parameter & Central value \\%Global Correlation Coefficient\\ \hline $b^{1(e^+pL)}_{\rm unc}$ & $0.16$ \\%& 0.07 \\ $b^{2(e^+pR)}_{\rm unc}$ & $0.19$ \\%& 0.09\\ $b^{3(e^-pL)}_{\rm unc}$ & $-0.32$ \\%& 0.10 \\ $b^{4(e^-pR)}_{\rm unc}$ & $0.50$ \\%& 0.09\\ $b_{\rm TPOL}$ & $0.11$ \\%& 0.05\\ $b_{\rm LPOL}$ & $0.11$ \\%& 0.05\\ \hline \end{tabular} \end{center} \caption{Parameters corresponding to the polarisation shifts.} \label{tab:polparam} \end{table} Table \ref{tab:fitresult} summarises the partial $\chi^2$ values corresponding to both the statistical and uncorrelated systematic uncertainties for each data set used in the fit. % The total correlated $\chi^2$ value (not included in the table) amounts to $67.4$ units. % The systematic shifts allowed by the Hessian method to account for the correlations are generally small (less than one standard deviation). % Table \ref{tab:fitresult_shifts} presents the optimised normalisation shifts obtained by the fit. % The values are shown separately for each data period. % %The fit prefers to have the global normalisation of the HERA\,I data %points decreased by $0.7\%$ and that of the HERA\,II data points increased by %$2.9\%$ corresponding to $1.3$ standard devations. The fit results in shifting the global normalisation of the HERA\,I data points by $-0.7\%$ and that of the HERA\,II data points by $2.9\%$ corresponding to $1.3$ standard devations. % The shift values are consistent with those from the combination obtained in section~\ref{sec:comb} although the numerical values are different due to the additional low $Q^2$ and low $E_p$ data sets used in the fit. % It has been observed previously that the heavy flavour scheme used here results in a rather large $\chi^2$ value in fits for the low $Q^2$ data~\cite{h1fl2010}. % In this analysis, the corresponding partial $\chi^2$ contributions are also large. % The overall quality of the fit is improved if the ACOT scheme is used, due to a considerably better agreement with the low $Q^2$ data %($\Delta \chi^2 \simeq 30$ units better). ($\simeq 30$ units improvement in $\chi^2$). % For the high $Q^2$ measurements, however, which are the focus of this paper, using the ACOT scheme is slightly worse than using the RT prescription~\cite{rt97}. \begin{table}[htb] %\scriptsize \begin{center} \begin{tabular}{l|r|r} \hline Data Set & Number of & $\chi^2$ (unc. err.) \\%& Normalisation \\ & data points & \\%& Normalisation \\ \hline $e^+$ Combined low $Q^2$ & $171$ & $ 196$\\\hline% & 0.993 \\\hline $e^+$ Combined low $E_p$& $124 $ & $132 $ \\\hline%& 0.993 \\\hline $e^+$ NC $94$-$97$ & $130$ & $ 92$ \\%& 0.992 \\ $e^+$ CC $94$-$97$ & $ 25$ & $ 22$ \\%& 0.992 \\ $e^-$ NC $98$-$99$ & $126$ & $113$ \\% & 0.996 \\ $e^-$ NC $98$-$99$ {\em high $y$} & $13$ & $5.4$\\% & 0.996 \\ $e^-$ CC $98$-$99$ & $ 28$ & $ 19$ \\%0.996 \\ $e^+$ NC $99$-$00$ & $147$ & $144$ \\%& 0.998 \\ $e^+$ CC $99$-$00$ & $ 28$ & $ 29$ \\ \hline %& 0.998 \\ \hline $e^+$ NC {\em high $y$} & $11$ & $5.6$ \\%& 1.045 \\ $e^-$ NC {\em high $y$} & $11$ & $7.7$ \\%& 1.050 \\ $e^+$ NC $L$ & $137$ & $ 124$ \\%& 1.020 \\ $e^+$ CC $L$ & $ 28$ & $ 46$ \\%& 1.020 \\ $e^+$ NC $R$ & $138$ & $ 138$ \\%& 1.042\\ $e^+$ CC $R$ & $ 29$ & $ 40$ \\% & 1.042 \\ $e^-$ NC $L$ & $139$ & $ 174$ \\%& 1.039\\ $e^-$ CC $L$ & $ 29$ & $ 27$ \\% & 1.039 \\ $e^-$ NC $R$ & $138$ & $ 142$ \\%& 1.043 \\ $e^-$ CC $R$ & $ 28$ & $ 16$ \\% & 1.043 \\ \hline \end{tabular} \end{center} \caption{Results of the H1PDF\,2012 fit. For each data set the number of data points are given, along with the $\chi^2$ contribution determined using uncorrelated errors (unc.\ err.)\ of the data points. } \label{tab:fitresult} \end{table} \begin{table}[htb] %\scriptsize \begin{center} \begin{tabular}{l|r|r|r} \hline Data Period & Global & Per Period & Total\\ & Normalisation & Normalisation & Normalisation\\ \hline $e^+$ Combined low $Q^2$ & $0.993$& $-$ &$0.993$ \\\hline $e^+$ Combined low $E_p$ & $0.993$ & $-$ &$0.993$ \\\hline HERA\,I $e^+$ $94$-$97$ & $0.993$& $0.999$ & $0.992$ \\ HERA\,I $e^-$ $98$-$99$ & $0.993$& $1.003$ & $0.996$ \\ HERA\,I $e^+$ $99$-$00$ & $0.993$& $1.005$ &$0.998$\\\hline HERA\,II $e^+$ $L$ & $1.029$& $0.991$ & $1.020$ \\ HERA\,II $e^+$ $R$ & $1.029$& $1.013$ &$1.042$ \\ HERA\,II $e^-$ $L$ & $1.029$& $1.010$ &$1.039$ \\ HERA\,II $e^-$ $R$ & $1.029$& $1.014$ &$1.043$ \\ \hline \end{tabular} \end{center} \caption{Factors corresponding to the global luminosity normalisations (${\cal L}1$, ${\cal L}5$), the normalisation for each data period (${\cal L}2$, ${\cal L}3$, ${\cal L}4$ for HERA\,I and ${\cal L}6$, ${\cal L}7$, ${\cal L}8$, ${\cal L}9$ for HERA\,II), and the overall combined normalisation of the data sets as determined by the QCD fit.} \label{tab:fitresult_shifts} \end{table} The H1PDF\,2012 fit results are summarised in figures~\ref{fig:pdfa}-\ref{fig:pdfc}, shown at the starting scale $Q^2_0=1.9$\,$\rm{GeV}$$^2$, evolved to $Q^2=10$\,$\rm{GeV}$$^2$ and to $Q^2=M_W^2$. The fit result when using $f_s=0.5$ lies well within the uncertainty band of the H1PDF\,2012 set. % The consistency of results is checked by comparing with PDF fits determined from the combined unpolarised HERA\,I and II measurements presented in section~\ref{sec:comb}. % The resulting PDFs and shifts of the correlated sources are in good agreement when using the separate data sets or when using the combined unpolarised data. % In order to assess the impact of the new HERA\,II data, the QCD fit is repeated under the same conditions with the new measurements excluded. % For this comparison replica data sets are generated from the expected cross sections by using the corresponding experimental uncertainties, thereby resulting in symmetrical error bands. % As shown in figure~\ref{fig:hera1vs2}, the new high $Q^2$ data have a visible impact on all distributions, especially in the $xD$ distribution. %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% %jobby\subsection{NC and CC Cross Sections \boldmath${ {\rm d}\sigma/{\rm d}Q^2}$ } \subsection{NC and CC Cross Sections ${ \pmb{\rm d}\pmb{\sigma}/\pmb{\rm d}\pmb{Q^2}}$ } %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \label{sec:dq2} The single differential NC cross sections ${\rm d}\sigma_{\rm NC}/{\rm d}Q^2$ measured for $y<0.9$ with both $e^-p$ and $e^+p$ data are shown in figure~\ref{fig:ncdq2} (upper plots) and given in tables~\ref{tab:ncdq2_eleLH}-\ref{tab:ncdq2_posRH}. The data are measured in the range $Q^2\geq 200\,{\rm GeV}^2$ up to $50\,000\,{\rm GeV}^2$ over which the cross sections fall by more than six orders of magnitude with increasing $Q^2$. The cross sections are well described by the SM expectations based on the H1PDF\,2012 fit. The lower panel of figure~\ref{fig:ncdq2} shows the ratios of the measurements to the corresponding SM values determined from the H1PDF\,2012 fit. The asymmetric uncertainty represents the effect of the assumptions and the experimental uncertainty of the QCD analysis and is explained in section~\ref{sec:qcdparam}. Note that in this lower figure the H1 data are scaled by the normalisation shifts imposed by the QCD fit given in table~\ref{tab:fitresult_shifts}. The $Q^2$ dependence of the CC cross sections ${\rm d}\sigma_{\rm CC}/{\rm d}Q^2$ for $y<0.9$ is shown in figure~\ref{fig:ccdq2}. In the upper figure, the strong polarisation dependence is clearly visible. In the lower figure, the same normalisation shifts as for the NC data are applied. The CC cross sections together with the kinematic correction factors are given in tables~\ref{tab:ccdq2_eleLH}-\ref{tab:ccdq2_posRH}. %\input{ccDq2e-LH} %\input{ccDq2e-RH} %\input{ccDq2e+LH} %\input{ccDq2e+RH} Combining the left and right handed polarisation data sets and correcting for the residual polarisation effects, the resulting unpolarised NC and CC cross section measurements from HERA\,II are listed in tables~\ref{tab:ncdq2_eleP0}-\ref{tab:ccdq2_posP0}. These cross sections are combined with the corresponding measurements from HERA\,I using the same procedure as for the combination of the double differential sections, described in section~\ref{sec:comb}. The results are shown in tables~\ref{tab:dq2_comb_em}-\ref{tab:dq2cc_comb_ep}. The $Q^2$ dependence of the combined HERA\,I+II NC and CC cross sections for $P_e=0$ is shown in figure~\ref{fig:ncccdq2}. The NC cross sections exceed the CC cross sections at %low $Q^2\simeq 200~\rm{GeV}^2$ by more than two orders of magnitude. The steep decrease of the NC cross section with increasing $Q^2$ is due to the dominating photon exchange cross section which is proportional to $1/Q^4$. In contrast the CC cross section is proportional to $\left[M_W^2/(Q^2+M_W^2)\right]^2$ and approaches a constant value at $Q^2\simeq 300$~$\rm{GeV}$$^2$. The NC and CC cross sections are of comparable size at $Q^2\sim 10^4$~$\rm{GeV}$$^2$, where the photon and $Z$ exchange contributions to the NC process are of similar size to those of $W^{\pm}$ exchange to the CC process. These measurements thus illustrate the unified behaviour of the electromagnetic and the weak interactions in DIS. %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% %jobby \subsection{NC Polarisation Asymmetry and \boldmath${F_2^{\gamma Z}}$} %jobby \subsection{NC Polarisation Asymmetry and $\pmb{F_2^{\gamma Z}}$} \subsection{NC Polarisation Asymmetry and $\pmb{F}_{\pmb{2}}^{\pmb{\gamma Z}}$} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \label{sec:f2gZ} The SM predicts a difference in the NC cross section for leptons with different helicity states arising from the chiral structure of the neutral electroweak exchange. With longitudinally polarised lepton beams in HERA\,II such polarisation effects can be tested, providing a direct measure of electroweak effects in the NC cross sections. The polarisation asymmetry, $A^{\pm}$, is defined as \begin{equation} A^{\pm}=\frac{2}{P^{\pm}_L-P^{\pm}_R}\cdot\frac{\sigma^\pm(P^{\pm}_L)-\sigma^\pm(P^{\pm}_R)}{\sigma^\pm(P^{\pm}_L)+\sigma^\pm(P^{\pm}_R)}\,\,\,, \label{eq:asym} \end{equation} where $P^{\pm}_L$ and $P^{\pm}_R$ are the %degrees of longitudinal lepton beam polarisation in the $e^{\pm}p$ $R$ and $L$ data sets. To a very good approximation $A^{\pm}$ measures the structure function ratio $A^\pm\simeq\mp \kappa a_eQ^2/(Q^2+M^2_Z) F^{\gamma Z}_2/\tilde{F}_2$\,, which is proportional to the product $a_ev_q$ and thus is a direct measure of parity violation. In $e^+$ scattering $A^+$ is expected to be positive and about equal to $-A^-$ in $e^-$ scattering. At large $x$ the asymmetry measures the $d/u$ ratio of the valence quark distributions according to \begin{equation} A^\pm\propto \pm \kappa \frac{1+d_v/u_v}{4+d_v/u_v}\,. \end{equation} The polarised single differential cross sections ${\rm d}\sigma_{\rm NC}/{\rm d}Q^2$ are used to construct the asymmetry where it is assumed that the correlated uncertainties of each measurement cancel. The asymmetry is shown in figure~\ref{fig:pol_asy} compared to the H1PDF\,2012 fit. The magnitude of the asymmetry is observed to increase with increasing $Q^2$ and is positive in $e^+p$ and negative in $e^-p$ scattering. The data are in good agreement with the SM using H1PDF\,2012 and confirm the parity violation effects of electroweak interactions at large $Q^2$. %The structure function $F_2^{\gamma Z}$ can be directly determined %using the relation For a given lepton charge the difference in the left and right polarised NC cross sections is sensitive to $F_2^{\gamma Z}$ as well as $xF_3^{\gamma Z}$ and $xF_3^{Z}$ as given by \small \begin{equation} \frac{\sigma^\pm(P_L^\pm)-\sigma^\pm(P_R^\pm)}{P_L^\pm-P_R^\pm}=\frac{\kappa Q^2}{Q^2+M_Z^2}\left[\mp a_e F_2^{\gamma Z} + \frac{Y_-}{Y_+}v_e xF_3^{\gamma Z} - \frac{Y_-}{Y_+}\frac{\kappa Q^2}{Q^2+M_Z^2}(v_e^2+a_e^2)xF_3^{Z} \right] \,.\label{eq:difsigma} \end{equation} \normalsize %% splitting the equation looks quite ugly! %% \small %% \begin{eqnarray} %% F_2^{\gamma Z} %% = %% \pm\frac{1}{a_e}\left[\frac{\sigma^\pm(P_L)-\sigma^\pm(P_R)}{P_L-P_R} \frac{Q^2+M_Z^2}{\kappa Q^2} - \frac{Y_-}{Y_+}v_e xF_3^{\gamma Z} %% +\frac{Y_-}{Y_+}\frac{\kappa Q^2}{Q^2+M_Z^2}(v_e^2+a_e^2)xF_3^{Z} %% \right] %% \,. %% \label{eq:difsigma2} %% \end{eqnarray} %% \normalsize By taking the difference of equation~\ref{eq:difsigma} for the $e^+p$ and $e^-p$ data, the terms proportional to $xF_3^{\gamma Z}$ and $xF_3^{Z}$ cancel and $F_2^{\gamma Z}$ can be directly extracted using the measured cross sections. The measurement is performed for $Q^2\geq200$~$\rm{GeV}$$^2$. It is shown in figure~\ref{fig:f2gZ} and listed in table~\ref{tab:f2gZ}. Only a weak $Q^2$ dependence is expected and therefore the measurements are transformed to a common $Q^2$ value of $1\,500$~$\rm{GeV}$$^2$ using the H1PDF\,2012 fit and are averaged in each $x$ bin. The average is calculated as a weighted mean using the quadratic sum of statistical and uncorrelated systematic uncertainties. The result is displayed in figure~\ref{fig:f2gZ_1500} in comparison to the H1PDF\,2012 fit and listed in table \ref{tab:f2gZ_1500}. The correlated uncertainties of the $F_2^{\gamma Z}$ measurement consist of contributions from the point-to-point correlated sources of uncertainties. The dominant contribution at low $Q^2$ and low $y$ is the normalisation uncertainty of $1.5$\% of each data set. The global luminosity uncertainty of 2.3\% is not included. %The data are %presented in figures~\ref{fig:f2gZ} and \ref{fig:f2gZ_1500} and listed %in tables~\ref{tab:f2gZ} and \ref{tab:f2gZ_1500}. %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% %jobby\subsection{Measurement of \boldmath${xF_3^{\gamma Z}}$} \subsection{Measurement of $\pmb{x}\pmb{F}_{\pmb 3}^{\pmb{\gamma Z}}$} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \label{sec:xf3} The new combined HERA\,I+II NC unpolarised cross section measurements for $e^+p$ and $e^-p$ scattering are used to update the previous measurement of the structure function $xF_3^{\gamma Z}$~\cite{h19899,h1hiq2}. Only data taken at $E_p=920$~$\rm{GeV}$ are used for this determination. The structure function $x\tilde{F}_3$ is obtained in a simultaneous fit with $x\tilde{F}_3$, $\tilde{\sigma}_0^\pm \equiv \tilde{F}_2^\pm- y^2/Y_+ \tilde{F}_L^\pm$ and nuisance parameters for the systematics shifts $b_j$ being free minimisation parameters. The $\chi^2$ function for the minimisation is \begin{equation} \label{eq:xf3} \chi^2 \left(\tilde{\sigma}_{0}^\pm, x\tilde{F}_3^\pm,b\right) = \sum_i \frac{\textstyle \left[ \left(\tilde{\sigma}_{0,i}^{\pm} \mp \frac{Y_-}{Y_+} x\tilde{F}_{3,i}^{\pm}\right) - \sum_j \Gamma_{i,j} b_j - \mu^{\pm}_i\right]^2}{\textstyle \Delta^2_i} + \sum_j b^2_j\,. \end{equation} Here $\mu^{\pm}_i$ is the measured central value of the reduced $e^{\pm}p$ cross section at an $x,Q^2$ point $i$ with a combined statistical and uncorrelated systematic uncertainty $\Delta_i = \sqrt{\left(\Delta_{i, \rm stat}^2 + \Delta_{i,\rm syst}^2 \right)}$. The effect of correlated error sources $j$ on the cross section measurements is given by the systematic error matrix $\Gamma_{i,j}$. The $\chi^2$ function depends quadratically on $\tilde{\sigma}_{0,i}^{\pm}$ and $x\tilde{F}_{3,i}^{\pm}$. % (denoted as vectors $\mathbf{\sigma_{r0} ,x\tilde{F}_3} $). The minimisation of the $\chi^2$ function with respect to these variables leads to a system of linear equations which is solved analytically, similar to~\cite{h1fl2010}. This procedure gives results equivalent to a determination of $x\tilde{F}_3$ in which the systematic uncertainties are treated by varying the measurements by each systematic error and adding the resulting deviations in quadrature. The dominant contribution to $x\tilde{F}_3$ arises from $\gamma Z$ interference, which allows the extraction of $xF_3^{\gamma Z}$ according to $xF_3^{\gamma Z}\simeq -x\tilde{F}_3(Q^2+M^2_Z)/(\kappa a_e Q^2)$ where the pure $Z$ boson exchange term is neglected. This is justified since the contribution of $xF_3^{Z}$ is suppressed by the small coupling $v_e$ and an additional factor $\kappa Q^2/(Q^2+M_Z^2)$ (see eq.~\ref{eq:F3}). The resulting structure function for $Q^2>1\,000$~$\rm{GeV}$$^2$ is presented in table~\ref{tab:xf3gz} and shown in figure~\ref{fig:xf3} together with the expectations determined from the H1PDF\,2012 fit. Since at high $x$ and low $Q^2$ the expected sensitivity to $x\tilde{F}_3$ is smaller than the luminosity uncertainty, the measurement is not performed in this region. This non-singlet structure function exhibits only a weak dependence on $Q^2$ and therefore the measurements can be first transformed to $Q^2=1500$~$\rm{GeV}$$^2$ using H1PDF\,2012 and then averaged for fixed $x$ values. The averaged $xF_3^{\gamma Z}$ is given in table~\ref{tab:xf3gz_1500} and shown in figure~\ref{fig:xf3gZ_1500} in comparison with the H1PDF\,2012 fit. The calculation from the H1PDF\,2012 fit gives a good description of the $xF_3^{\gamma Z}$ measurement. The structure function $xF_3^{\gamma Z}$ determines both the shape and magnitude of the valence distribution $2u_v+d_v$ assuming the quark and anti-quark sea distributions are the same. The integral of this structure function is analogous to the GLS sum rule in neutrino scattering\cite{gls} which is in LO predicted to be $5/3$ and acquires %with $\mathcal{O}(\alpha_s/\pi)$ QCD corrections~\cite{Rizvi:2000qf}. %The integral evaluated using the H1PDF\,2012 fit over the full $x$ range at $Q^2=1\,500$~$\rm{GeV}$$^2$ is determined to be %$\int_{0}^{1}F_3^{\gamma Z}\,{\rm d}x = 1.595\pm 0.001$ where the uncertainty is the total PDF uncertainty. The measured value using all HERA\,I+II data is \begin{eqnarray} \int_{0.016}^{0.725} {\rm d}x \,\, F_3^{\gamma Z}(x,Q^2=1\,500\,{\rm GeV}^2)= 1.22 \pm 0.09 ({\rm stat}) \pm 0.07 ({\rm syst}) \,\,, \end{eqnarray} which can be compared to the H1PDF\,2012 fit in the same region $\int_{0.016}^{0.725}F_3^{\gamma Z}\,{\rm d}x = 1.16^{+0.02}_{-0.03}$ including the total estimated uncertainty. %The measured value is extrapolated The extrapolation of the measurement to the full kinematic region in $x$ by applying a scale factor determined from the H1PDF\,2012 fit, yields % No additional uncertainty due to the scale factor is considered, and the experimental value obtained is $\int_0^1 {\rm d}x \,\, F_3^{\gamma Z} = 1.69 \pm 0.12 ({\rm stat}) \pm 0.10 ({\rm syst})$. No additional uncertainty due to the scale factor is considered. This value agrees %within the uncertainties with the integral evaluated using the H1PDF\,2012 fit over the full $x$ range at $Q^2=1\,500$~$\rm{GeV}$$^2$ which is determined to be $\int_{0}^{1}F_3^{\gamma Z}\,{\rm d}x = 1.595$. The quark number sum rules are imposed as constraints in the QCD fit and therefore this measurement validates the sum rules. %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% %jobby\subsection{Total CC Cross Sections \boldmath${ \sigma_{\rm CC}^{tot}}$} \subsection{Total CC Cross Sections $ \pmb{\sigma}_{\pmb{\rm CC}}^{\pmb{\rm tot}}$} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \label{sec:cctot} The total CC cross sections for $Q^2>400\,{\rm GeV}^2$ and $y<0.9$ are listed in table~\ref{tab:cctot} for the $e^-$ and $e^+$ data and for the different longitudinal lepton beam polarisations. Corrections $(k^{\pm}_{\rm cor})$ from the analysis phase space $Q^2>400\,{\rm GeV}^2$, $p_{T,h}>12$\,$\rm{GeV}$ and $0.03400\,{\rm GeV}^2$ and $y<0.9$. The uncertainties correspond to the statistical, experimental systematic and luminosity uncertainties.} % The luminosity and polarisation %uncertainties are not included in the systematic errors.} \end{table} The cross sections are shown in figure~\ref{fig:cctot} and compared to the SM expectations using the H1PDF\,2012 fit. They agree within one standard deviation if the normalisation factors as determined from the QCD fit are applied. %taken into account. %The uncertainty on %the SM expectations combines the uncertainties from experimental data %used in the H1PDF\,2012 fit as well as model uncertainties. % A linear fit to the polarisation dependence of the measured cross sections is performed taking into account the correlated systematic uncertainties between the measurements and is also shown in figure~\ref{fig:cctot}. The fit is performed simultaneously to $e^-p$ and $e^+p$ data and yields a $\chi^2=2.0$ for two degrees of freedom. The result of the fit extrapolated to the point $P_e=+1$ for $e^-p$ and $P_e=-1$ for $e^+p$ scattering results in \begin{eqnarray} &&\sigma^{\rm tot}_{\rm CC}(P_e=+1,e^-p)=-1.3\pm 2.4_{\rm exp}\pm 1.5_{\rm lumi}\pm 1.2_{\rm pol}\,{\rm pb}\,, \nonumber\\ &&\sigma^{\rm tot}_{\rm CC}(P_e=-1,e^+p)=-0.5\pm 1.3_{\rm exp}\pm 0.7_{\rm lumi}\pm 0.4_{\rm pol}\,{\rm pb}\,, \nonumber \end{eqnarray} where the quoted errors correspond to the experimental, luminosity and polarisation related uncertainties. These extrapolated cross sections are consistent with the SM prediction of a vanishing cross section and correspond to an upper limit on $\sigma^{\rm tot}_{\rm CC}(P_e=+1,e^-p)$ and $\sigma^{\rm tot}_{\rm CC}(P_e=-1,e^+p)$ of $4.8~\rm{pb}$ and $2.6~\rm{pb}$ at $95\%$ confidence level (CL), %for $e^-p$ and $e^+p$ respectively, as derived according to~\cite{fc97}. This result excludes the existence of charged currents involving right handed fermions mediated by a boson of mass $M_W^R$ below $214$ and $194$\,$\rm{GeV}$ at $95\%$ CL respectively, assuming SM couplings and a light right handed $\nu_e$. These limits are comparable with those derived earlier by H1~\cite{h1ccpol} and ZEUS~\cite{zeuscc2010}. %\input{Summary} \clearpage %%%%%%%%%%%%%%%%%% \section{Conclusions} %%%%%%%%%%%%%%%%%% \label{sec:summary} The inclusive DIS cross section for $e^{\pm}p$ interactions at $\sqrt{s}=319$\,GeV are measured using $333.7$\,pb$^{-1}$ of integrated luminosity. The $e^{-}p$ data analysed here corresponds to an almost ten-fold increase in luminosity over the HERA\,I data set. Moreover the operation of the HERA collider with left and right handed longitudinally polarised electron and positron beams allows measurements in the neutral and charged current channels with four distinct initial states. The NC and CC cross sections cover the region $Q^2\gtrsim 100$\,GeV$^2$ and Bjorken $x \gtrsim 10^{-3}$. The cross sections are measured differentially in $Q^2$ and double differentially in $x$ and $Q^2$. The systematic uncertainties of the measurements are substantially reduced compared to previous publications. In the NC channel a precision of $1.5\%$ is attained for the systematic uncertainty in the kinematic region $Q^2<1\,000$\,GeV$^2$ and $y>0.1$, compared to a statistical accuracy of about $1-3\%$. The high inelasticity region of $0.63\leq y \leq 0.90$ for $60\leq Q^2 \leq 800$\,GeV$^2$ is measured in the NC analysis for unpolarised $e^{\pm}p$ scattering. This phase space region is sensitive to the $F_L$ structure function. A NLO QCD analysis of the data is performed for $Q^2\geq 3.5$\,GeV$^2$ including all previously published H1 NC and CC cross section measurements. The data are well described by the QCD fit over the full phase space. The new data at high $Q^2$ provide better constraints on the partonic structure of the proton. In particular the CC $e^+p$ data enable an improved flavour separation at high $x$. The NC lepton polarisation asymmetry $A^\pm$, sensitive to parity violation, is determined separately for $e^+p$ and $e^-p$ scattering. The asymmetry is found to increase in magnitude with $Q^2$ in agreement with the expectation of the Standard Model. The structure function $F_2^{\gamma Z}$ is measured for the first time using the polarisation dependence of the $e^{\pm}p$ NC cross section. The structure function is reported differentially in $x,Q^2$ and the result is also averaged at $Q^2=1\,500$~GeV$^2$. At high $Q^2$ the structure function $xF_3^{\gamma Z}$ is determined using unpolarised NC cross sections obtained from the complete HERA I and HERA II data sets. The $xF_3^{\gamma Z}$ results are averaged at $Q^2=1\,500$\,GeV$^2$ and cover the range $0.013\leq x \leq 0.65$. The measurement integrated over $x$ validates a sum rule for charged lepton scattering. The polarisation dependence of the CC total cross section for $Q^2 > 400$\,GeV$^2$ and $y<0.9$ is measured and compared to the unpolarised HERA\,I measurements. The data exhibit a linear scaling of the cross sections with $P_e$ which is positive for $e^+p$ and negative for $e^-p$ scattering. The data are consistent with the absence of right handed weak currents. The analysis reported here completes the measurements of inclusive NC and CC cross sections with the HERA\,I and HERA\,II data samples at $\sqrt{s}=319$\,GeV with the H1 detector. \section*{Acknowledgements} We are grateful to the HERA machine group whose outstanding efforts made this experiment possible. 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%\bibliographystyle{desy09-005} %\bibliographystyle{h1pub} %\bibliographystyle{h-physrev3} %\bibliography{Bibliography} \newpage %\input{Tables} \newcommand{\tablepos}{htb} \clearpage % tables 13 %\input{ncDxDq2e-LH} \begin{table}[htbp] \begin{center} \tiny \begin{tabular}{|r|c|r|r|r|r|r|r|r|r|r|r|r|r|} \hline $Q^2$ & $x$ & $\tilde{\sigma}_{\rm NC}$ & $\delta_{\rm tot}$ & $\delta_{\rm stat}$ & $\delta_{\rm unc}$ & $\delta_{\rm unc}^{E}$ & $\delta_{\rm unc}^{h}$& $\delta_{\rm cor}$ & $\delta_{\rm cor}^{E^+}$ & $\delta_{\rm cor}^{\theta^+}$& $\delta_{\rm cor}^{h^+}$& $\delta_{\rm cor}^{N^+}$& $\delta_{\rm cor}^{B^+}$ \\ $(\rm GeV^2)$ & & & $(\%)$ & $(\%)$ & $(\%)$ & $(\%)$ & $(\%)$ & $(\%)$ & $(\%)$ & $(\%)$ & $(\%)$ & $(\%)$ & $(\%)$ \\ \hline $120$ & $0.0020$ & $1.312$ & $1.73$ & $0.87$ & $1.02$ & $0.54$ & $0.09$ & $1.09$ & $-0.36$ & $-0.61$ & $0.02$ & $0.18$ & $-0.81$ \\ $120$ & $0.0032$ & $1.182$ & $1.89$ & $1.24$ & $1.21$ & $0.77$ & $0.05$ & $0.75$ & $-0.35$ & $-0.62$ & $0.02$ & $0.19$ & $-0.16$ \\ \hline $150$ & $0.0032$ & $1.195$ & $1.43$ & $0.73$ & $0.91$ & $0.43$ & $0.06$ & $0.81$ & $-0.32$ & $-0.59$ & $0.02$ & $0.19$ & $-0.41$ \\ $150$ & $0.0050$ & $1.071$ & $1.74$ & $0.88$ & $1.20$ & $0.86$ & $0.00$ & $0.90$ & $-0.55$ & $-0.71$ & $0.00$ & $0.04$ & $-0.04$ \\ $150$ & $0.0080$ & $0.9197$ & $2.54$ & $1.20$ & $1.85$ & $1.24$ & $1.02$ & $1.26$ & $-0.79$ & $-0.80$ & $-0.27$ & $-0.50$ & $-0.08$ \\ $150$ & $0.0130$ & $0.7984$ & $4.03$ & $1.68$ & $3.09$ & $2.78$ & $0.82$ & $1.96$ & $-1.61$ & $-0.64$ & $-0.28$ & $-0.85$ & $-0.09$ \\ \hline $200$ & $0.0032$ & $1.222$ & $1.81$ & $1.35$ & $0.94$ & $0.18$ & $0.07$ & $0.75$ & $0.18$ & $-0.50$ & $0.01$ & $0.15$ & $-0.51$ \\ $200$ & $0.0050$ & $1.079$ & $1.57$ & $0.96$ & $0.99$ & $0.54$ & $0.02$ & $0.75$ & $-0.44$ & $-0.58$ & $0.01$ & $0.14$ & $-0.08$ \\ $200$ & $0.0080$ & $0.9389$ & $1.93$ & $0.99$ & $1.39$ & $1.10$ & $0.00$ & $0.91$ & $-0.60$ & $-0.69$ & $0.00$ & $0.00$ & $0.00$ \\ $200$ & $0.0130$ & $0.7669$ & $1.62$ & $1.14$ & $0.89$ & $0.19$ & $0.03$ & $0.72$ & $-0.04$ & $-0.46$ & $-0.02$ & $0.55$ & $0.00$ \\ $200$ & $0.0200$ & $0.6800$ & $1.81$ & $1.23$ & $1.14$ & $0.68$ & $0.19$ & $0.70$ & $-0.47$ & $-0.39$ & $-0.08$ & $0.32$ & $-0.01$ \\ $200$ & $0.0320$ & $0.5735$ & $2.21$ & $1.38$ & $1.51$ & $1.07$ & $0.51$ & $0.85$ & $-0.60$ & $-0.56$ & $-0.19$ & $0.09$ & $0.00$ \\ $200$ & $0.0500$ & $0.5107$ & $2.97$ & $1.63$ & $1.78$ & $1.47$ & $0.02$ & $1.73$ & $-0.89$ & $-0.79$ & $-0.18$ & $1.24$ & $0.00$ \\ $200$ & $0.0800$ & $0.4341$ & $3.41$ & $1.73$ & $2.19$ & $1.90$ & $0.19$ & $1.96$ & $-1.13$ & $-0.86$ & $-0.07$ & $1.35$ & $-0.01$ \\ $200$ & $0.1300$ & $0.3521$ & $3.54$ & $2.09$ & $2.21$ & $1.36$ & $1.09$ & $1.81$ & $-0.80$ & $-1.02$ & $-0.27$ & $-1.23$ & $0.00$ \\ $200$ & $0.1800$ & $0.2987$ & $4.40$ & $2.71$ & $2.82$ & $1.17$ & $1.97$ & $2.01$ & $-0.83$ & $-1.23$ & $-0.49$ & $-1.26$ & $0.00$ \\ \hline $250$ & $0.0050$ & $1.096$ & $1.56$ & $1.12$ & $0.89$ & $0.30$ & $0.06$ & $0.60$ & $-0.29$ & $-0.42$ & $0.02$ & $0.18$ & $-0.27$ \\ $250$ & $0.0080$ & $0.9512$ & $1.67$ & $1.10$ & $1.01$ & $0.55$ & $0.00$ & $0.76$ & $-0.50$ & $-0.57$ & $0.00$ & $0.04$ & $0.00$ \\ $250$ & $0.0130$ & $0.8042$ & $2.08$ & $1.20$ & $1.25$ & $0.89$ & $0.18$ & $1.15$ & $0.50$ & $-0.66$ & $0.03$ & $0.79$ & $-0.02$ \\ $250$ & $0.0200$ & $0.6806$ & $2.10$ & $1.23$ & $1.31$ & $0.93$ & $0.26$ & $1.10$ & $0.35$ & $-0.57$ & $0.07$ & $0.87$ & $0.00$ \\ $250$ & $0.0320$ & $0.5813$ & $2.19$ & $1.30$ & $1.42$ & $1.10$ & $0.11$ & $1.06$ & $0.52$ & $-0.63$ & $-0.08$ & $0.67$ & $0.00$ \\ $250$ & $0.0500$ & $0.4968$ & $2.44$ & $1.48$ & $1.46$ & $1.12$ & $0.16$ & $1.27$ & $0.45$ & $-0.57$ & $-0.12$ & $1.03$ & $-0.01$ \\ $250$ & $0.0800$ & $0.4166$ & $2.94$ & $1.52$ & $1.11$ & $0.41$ & $0.34$ & $2.26$ & $0.18$ & $-0.45$ & $-0.02$ & $2.21$ & $0.00$ \\ $250$ & $0.1300$ & $0.3560$ & $2.55$ & $1.54$ & $1.82$ & $1.08$ & $0.76$ & $0.92$ & $0.51$ & $-0.56$ & $-0.22$ & $-0.46$ & $0.00$ \\ $250$ & $0.1800$ & $0.3035$ & $4.11$ & $2.11$ & $2.69$ & $1.59$ & $1.59$ & $2.28$ & $1.02$ & $-0.80$ & $-0.38$ & $-1.84$ & $0.00$ \\ \hline $300$ & $0.0050$ & $1.110$ & $2.23$ & $1.89$ & $1.00$ & $0.17$ & $0.08$ & $0.63$ & $-0.17$ & $-0.46$ & $0.03$ & $0.15$ & $-0.38$ \\ $300$ & $0.0080$ & $0.9626$ & $1.71$ & $1.28$ & $0.92$ & $0.35$ & $0.02$ & $0.65$ & $-0.35$ & $-0.53$ & $0.01$ & $0.10$ & $-0.08$ \\ $300$ & $0.0130$ & $0.8029$ & $1.97$ & $1.28$ & $1.18$ & $0.80$ & $0.00$ & $0.93$ & $-0.79$ & $-0.50$ & $0.00$ & $0.00$ & $0.00$ \\ $300$ & $0.0200$ & $0.6884$ & $2.00$ & $1.42$ & $1.07$ & $0.57$ & $0.17$ & $0.91$ & $0.43$ & $-0.53$ & $0.03$ & $0.61$ & $-0.02$ \\ $300$ & $0.0320$ & $0.5748$ & $2.15$ & $1.50$ & $1.20$ & $0.79$ & $0.03$ & $0.97$ & $0.46$ & $-0.55$ & $-0.03$ & $0.65$ & $0.00$ \\ $300$ & $0.0500$ & $0.4892$ & $2.57$ & $1.62$ & $1.45$ & $1.10$ & $0.18$ & $1.38$ & $0.60$ & $-0.66$ & $-0.10$ & $1.05$ & $0.00$ \\ $300$ & $0.0800$ & $0.4164$ & $3.12$ & $1.72$ & $1.48$ & $1.09$ & $0.18$ & $2.14$ & $0.47$ & $-0.69$ & $-0.06$ & $1.97$ & $-0.01$ \\ $300$ & $0.1300$ & $0.3547$ & $2.76$ & $1.71$ & $1.89$ & $1.35$ & $0.42$ & $1.07$ & $0.66$ & $-0.69$ & $-0.17$ & $0.45$ & $0.00$ \\ $300$ & $0.1800$ & $0.2961$ & $4.67$ & $2.26$ & $3.02$ & $2.14$ & $1.53$ & $2.76$ & $1.31$ & $-0.88$ & $-0.36$ & $-2.23$ & $0.00$ \\ $300$ & $0.4000$ & $0.1439$ & $6.67$ & $2.75$ & $3.63$ & $2.38$ & $1.99$ & $4.88$ & $1.39$ & $-1.03$ & $-0.41$ & $-4.55$ & $0.00$ \\ \hline $400$ & $0.0080$ & $1.025$ & $1.91$ & $1.54$ & $0.96$ & $0.38$ & $0.04$ & $0.59$ & $-0.33$ & $-0.41$ & $0.01$ & $0.16$ & $-0.22$ \\ $400$ & $0.0130$ & $0.8439$ & $1.93$ & $1.50$ & $0.97$ & $0.42$ & $0.00$ & $0.72$ & $-0.41$ & $-0.59$ & $0.00$ & $0.03$ & $-0.02$ \\ $400$ & $0.0200$ & $0.7106$ & $2.25$ & $1.54$ & $1.28$ & $0.91$ & $0.00$ & $1.03$ & $-0.90$ & $-0.50$ & $0.00$ & $0.00$ & $0.00$ \\ $400$ & $0.0320$ & $0.5984$ & $2.15$ & $1.63$ & $1.02$ & $0.46$ & $0.09$ & $0.95$ & $0.45$ & $-0.48$ & $-0.02$ & $0.69$ & $-0.01$ \\ $400$ & $0.0500$ & $0.4846$ & $2.32$ & $1.84$ & $1.12$ & $0.51$ & $0.34$ & $0.85$ & $0.50$ & $-0.36$ & $-0.13$ & $0.58$ & $-0.01$ \\ $400$ & $0.0800$ & $0.4188$ & $2.74$ & $1.91$ & $1.05$ & $0.27$ & $0.23$ & $1.67$ & $0.22$ & $-0.33$ & $0.05$ & $1.62$ & $0.00$ \\ $400$ & $0.1300$ & $0.3598$ & $2.65$ & $1.93$ & $1.42$ & $0.64$ & $0.16$ & $1.12$ & $0.55$ & $-0.49$ & $-0.10$ & $0.85$ & $0.00$ \\ $400$ & $0.1800$ & $0.2991$ & $4.47$ & $2.43$ & $2.57$ & $1.14$ & $1.78$ & $2.73$ & $1.06$ & $-0.54$ & $-0.48$ & $-2.41$ & $0.00$ \\ $400$ & $0.4000$ & $0.1438$ & $7.28$ & $3.09$ & $3.24$ & $1.27$ & $2.22$ & $5.74$ & $1.18$ & $-0.56$ & $-0.31$ & $-5.58$ & $0.00$ \\ \hline $500$ & $0.0080$ & $0.9879$ & $2.83$ & $2.57$ & $1.05$ & $0.16$ & $0.07$ & $0.52$ & $-0.24$ & $-0.39$ & $0.02$ & $0.16$ & $-0.20$ \\ $500$ & $0.0130$ & $0.8903$ & $2.15$ & $1.85$ & $0.96$ & $0.31$ & $0.03$ & $0.56$ & $-0.25$ & $-0.49$ & $0.00$ & $0.08$ & $-0.06$ \\ $500$ & $0.0200$ & $0.7270$ & $2.31$ & $1.83$ & $1.15$ & $0.69$ & $0.00$ & $0.80$ & $-0.69$ & $-0.40$ & $0.00$ & $0.00$ & $0.00$ \\ $500$ & $0.0320$ & $0.6232$ & $2.35$ & $1.87$ & $1.09$ & $0.50$ & $0.25$ & $0.91$ & $0.52$ & $-0.38$ & $-0.03$ & $0.65$ & $0.00$ \\ $500$ & $0.0500$ & $0.5411$ & $2.44$ & $1.99$ & $1.12$ & $0.56$ & $0.18$ & $0.84$ & $0.56$ & $-0.32$ & $-0.06$ & $0.54$ & $0.00$ \\ $500$ & $0.0800$ & $0.4169$ & $2.96$ & $2.27$ & $1.17$ & $0.60$ & $0.07$ & $1.49$ & $0.60$ & $-0.52$ & $-0.02$ & $1.26$ & $0.00$ \\ $500$ & $0.1300$ & $0.3658$ & $3.21$ & $2.54$ & $1.38$ & $0.44$ & $0.07$ & $1.41$ & $0.44$ & $-0.38$ & $-0.11$ & $1.28$ & $0.00$ \\ $500$ & $0.1800$ & $0.3299$ & $3.63$ & $2.86$ & $1.95$ & $0.90$ & $0.92$ & $1.11$ & $0.90$ & $-0.53$ & $-0.30$ & $-0.18$ & $0.00$ \\ $500$ & $0.2500$ & $0.2529$ & $5.34$ & $3.32$ & $2.54$ & $0.99$ & $1.69$ & $3.32$ & $0.99$ & $-0.53$ & $-0.44$ & $-3.09$ & $0.00$ \\ \hline $650$ & $0.0130$ & $0.8832$ & $2.38$ & $2.08$ & $1.06$ & $0.48$ & $0.05$ & $0.49$ & $-0.32$ & $-0.31$ & $0.01$ & $0.14$ & $-0.13$ \\ $650$ & $0.0200$ & $0.7582$ & $2.48$ & $2.14$ & $1.06$ & $0.41$ & $0.00$ & $0.70$ & $-0.47$ & $-0.52$ & $0.00$ & $0.03$ & $0.00$ \\ $650$ & $0.0320$ & $0.6334$ & $2.84$ & $2.23$ & $1.43$ & $1.01$ & $0.00$ & $1.04$ & $-0.94$ & $-0.45$ & $0.00$ & $0.00$ & $0.00$ \\ $650$ & $0.0500$ & $0.5229$ & $2.82$ & $2.35$ & $1.24$ & $0.68$ & $0.15$ & $0.94$ & $0.75$ & $-0.43$ & $-0.12$ & $0.34$ & $0.00$ \\ $650$ & $0.0800$ & $0.4300$ & $3.14$ & $2.66$ & $1.16$ & $0.41$ & $0.08$ & $1.22$ & $0.47$ & $-0.30$ & $0.07$ & $1.08$ & $0.00$ \\ $650$ & $0.1300$ & $0.3599$ & $3.64$ & $2.94$ & $1.55$ & $0.70$ & $0.21$ & $1.48$ & $0.72$ & $-0.51$ & $-0.06$ & $1.19$ & $0.00$ \\ $650$ & $0.1800$ & $0.3140$ & $3.77$ & $3.18$ & $1.78$ & $0.79$ & $0.46$ & $0.93$ & $0.82$ & $-0.37$ & $-0.17$ & $0.17$ & $0.00$ \\ $650$ & $0.2500$ & $0.2471$ & $5.56$ & $4.13$ & $2.44$ & $1.09$ & $1.40$ & $2.82$ & $1.06$ & $-0.44$ & $-0.34$ & $-2.55$ & $0.00$ \\ $650$ & $0.4000$ & $0.1222$ & $8.53$ & $6.14$ & $3.78$ & $1.65$ & $2.42$ & $4.56$ & $1.67$ & $-0.71$ & $-0.63$ & $-4.13$ & $0.00$ \\ \hline \end{tabular} \end{center} \caption[RESULT] {\label{tab:ncdxdq2_eleLH} The NC $e^-p$ reduced cross section $\tilde{\sigma}_{\rm NC}(x,Q^2)$ with lepton beam polarisation $P_e=-25.8$\% with statistical $(\delta_{\rm stat})$, total $(\delta_{tot})$, total uncorrelated systematic $(\delta_{\rm unc})$ errors, two of its contributions from the electron energy error ($\delta_{unc}^{E}$) and the hadronic energy error ($\delta_{\rm unc}^{h}$). The effect of the other uncorrelated systematic errors is included in $\delta_{\rm unc}$. In addition the correlated systematic $(\delta_{\rm cor})$ and its contributions from a positive variation of one standard deviation of the electron energy error ($\delta_{cor}^{E^+}$), of the polar electron angle error ($\delta_{\rm cor}^{\theta^+}$), of the hadronic energy error ($\delta_{\rm cor}^{h^+}$), of the error due to noise subtraction ($\delta_{\rm cor}^{N^+}$) and of the error due to background subtraction ($\delta_{\rm cor}^{B^+}$) are given. The normalisation and polarisation uncertainties are not included in the errors. The table continues on the next page.} \end{table} \begin{table}[htbp] \begin{center} \tiny \begin{tabular}{|r|c|r|r|r|r|r|r|r|r|r|r|r|r|} \hline $Q^2$ & $x$ & $\tilde{\sigma}_{\rm NC}$ & $\delta_{\rm tot}$ & $\delta_{\rm stat}$ & $\delta_{\rm unc}$ & $\delta_{\rm unc}^{E}$ & $\delta_{\rm unc}^{h}$& $\delta_{\rm cor}$ & $\delta_{\rm cor}^{E^+}$ & $\delta_{\rm cor}^{\theta^+}$& $\delta_{\rm cor}^{h^+}$& $\delta_{\rm cor}^{N^+}$& $\delta_{\rm cor}^{B^+}$ \\ $(\rm GeV^2)$ & & & $(\%)$ & $(\%)$ & $(\%)$ & $(\%)$ & $(\%)$ & $(\%)$ & $(\%)$ & $(\%)$ & $(\%)$ & $(\%)$ & $(\%)$ \\ \hline $800$ & $0.0130$ & $0.9026$ & $3.72$ & $3.50$ & $1.21$ & $0.16$ & $0.08$ & $0.41$ & $0.11$ & $-0.33$ & $0.03$ & $0.19$ & $-0.10$ \\ $800$ & $0.0200$ & $0.7206$ & $2.78$ & $2.51$ & $1.11$ & $0.46$ & $0.01$ & $0.45$ & $-0.25$ & $-0.36$ & $0.00$ & $0.08$ & $-0.06$ \\ $800$ & $0.0320$ & $0.6195$ & $3.12$ & $2.67$ & $1.40$ & $0.90$ & $0.00$ & $0.80$ & $-0.59$ & $-0.53$ & $0.00$ & $0.00$ & $0.00$ \\ $800$ & $0.0500$ & $0.5387$ & $3.04$ & $2.74$ & $1.14$ & $0.26$ & $0.08$ & $0.63$ & $0.38$ & $-0.26$ & $-0.06$ & $0.42$ & $-0.02$ \\ $800$ & $0.0800$ & $0.4321$ & $3.48$ & $3.04$ & $1.29$ & $0.45$ & $0.28$ & $1.09$ & $0.62$ & $-0.46$ & $-0.05$ & $0.77$ & $0.00$ \\ $800$ & $0.1300$ & $0.3392$ & $4.15$ & $3.58$ & $1.55$ & $0.43$ & $0.26$ & $1.42$ & $0.63$ & $-0.37$ & $-0.07$ & $1.21$ & $0.00$ \\ $800$ & $0.1800$ & $0.3127$ & $4.27$ & $3.75$ & $1.84$ & $0.59$ & $0.64$ & $0.87$ & $0.75$ & $-0.37$ & $-0.18$ & $0.16$ & $0.00$ \\ $800$ & $0.2500$ & $0.2409$ & $5.39$ & $4.63$ & $2.17$ & $0.59$ & $1.05$ & $1.72$ & $0.77$ & $-0.30$ & $-0.23$ & $-1.48$ & $0.00$ \\ $800$ & $0.4000$ & $0.1340$ & $9.10$ & $5.93$ & $4.25$ & $1.68$ & $2.96$ & $5.44$ & $1.78$ & $-0.71$ & $-0.76$ & $-5.03$ & $0.00$ \\ \hline $1000$ & $0.0130$ & $0.8430$ & $4.06$ & $3.45$ & $1.68$ & $0.27$ & $0.22$ & $1.34$ & $-0.03$ & $-0.20$ & $0.05$ & $0.19$ & $-1.31$ \\ $1000$ & $0.0200$ & $0.7686$ & $3.10$ & $2.87$ & $1.07$ & $0.32$ & $0.06$ & $0.45$ & $-0.18$ & $-0.37$ & $0.01$ & $0.11$ & $-0.12$ \\ $1000$ & $0.0320$ & $0.6579$ & $3.10$ & $2.82$ & $1.17$ & $0.57$ & $0.00$ & $0.50$ & $-0.26$ & $-0.43$ & $0.00$ & $0.01$ & $0.00$ \\ $1000$ & $0.0500$ & $0.5030$ & $3.67$ & $3.15$ & $1.59$ & $1.17$ & $0.00$ & $0.99$ & $-0.71$ & $-0.68$ & $0.00$ & $0.00$ & $0.00$ \\ $1000$ & $0.0800$ & $0.4311$ & $3.71$ & $3.43$ & $1.14$ & $0.05$ & $0.18$ & $0.84$ & $0.17$ & $-0.23$ & $0.05$ & $0.78$ & $0.00$ \\ $1000$ & $0.1300$ & $0.3308$ & $4.65$ & $4.21$ & $1.52$ & $0.29$ & $0.28$ & $1.26$ & $0.40$ & $-0.33$ & $-0.17$ & $1.14$ & $0.00$ \\ $1000$ & $0.1800$ & $0.3587$ & $4.48$ & $3.98$ & $1.82$ & $0.72$ & $0.53$ & $0.96$ & $0.73$ & $-0.43$ & $-0.25$ & $0.37$ & $0.00$ \\ $1000$ & $0.2500$ & $0.2591$ & $5.40$ & $4.61$ & $2.25$ & $0.90$ & $1.12$ & $1.68$ & $1.01$ & $-0.45$ & $-0.34$ & $-1.22$ & $0.00$ \\ $1000$ & $0.4000$ & $0.1266$ & $9.18$ & $6.56$ & $4.16$ & $1.84$ & $2.83$ & $4.89$ & $1.55$ & $-0.48$ & $-0.56$ & $-4.58$ & $0.00$ \\ \hline $1200$ & $0.0130$ & $0.9167$ & $6.04$ & $5.43$ & $2.21$ & $0.21$ & $0.27$ & $1.48$ & $0.35$ & $0.22$ & $0.05$ & $0.22$ & $-1.41$ \\ $1200$ & $0.0200$ & $0.7663$ & $3.83$ & $3.60$ & $1.22$ & $0.29$ & $0.09$ & $0.46$ & $-0.19$ & $-0.26$ & $0.02$ & $0.12$ & $-0.31$ \\ $1200$ & $0.0320$ & $0.6765$ & $3.45$ & $3.27$ & $0.98$ & $0.27$ & $0.03$ & $0.52$ & $-0.21$ & $-0.47$ & $0.00$ & $0.06$ & $-0.01$ \\ $1200$ & $0.0500$ & $0.5310$ & $3.76$ & $3.48$ & $1.27$ & $0.82$ & $0.00$ & $0.62$ & $-0.45$ & $-0.42$ & $0.00$ & $0.00$ & $0.00$ \\ $1200$ & $0.0800$ & $0.4462$ & $4.05$ & $3.73$ & $1.38$ & $0.93$ & $0.19$ & $0.77$ & $0.58$ & $-0.27$ & $-0.15$ & $0.40$ & $0.00$ \\ $1200$ & $0.1300$ & $0.3503$ & $5.66$ & $5.38$ & $1.51$ & $0.73$ & $0.09$ & $0.90$ & $0.43$ & $-0.14$ & $-0.02$ & $0.78$ & $0.00$ \\ $1200$ & $0.1800$ & $0.3217$ & $5.03$ & $4.65$ & $1.71$ & $0.83$ & $0.34$ & $0.87$ & $0.63$ & $-0.35$ & $-0.15$ & $0.47$ & $0.00$ \\ $1200$ & $0.2500$ & $0.2147$ & $6.06$ & $5.58$ & $2.16$ & $1.27$ & $0.74$ & $0.93$ & $0.82$ & $-0.27$ & $-0.19$ & $-0.29$ & $0.00$ \\ $1200$ & $0.4000$ & $0.1230$ & $9.42$ & $7.08$ & $4.36$ & $2.61$ & $2.68$ & $4.42$ & $1.58$ & $-0.33$ & $-0.62$ & $-4.06$ & $0.00$ \\ \hline $1500$ & $0.0200$ & $0.8069$ & $4.76$ & $4.26$ & $1.78$ & $0.09$ & $0.16$ & $1.18$ & $0.18$ & $-0.24$ & $0.04$ & $0.15$ & $-1.13$ \\ $1500$ & $0.0320$ & $0.6724$ & $4.24$ & $4.06$ & $1.12$ & $0.40$ & $0.06$ & $0.48$ & $-0.38$ & $-0.25$ & $0.01$ & $0.13$ & $-0.06$ \\ $1500$ & $0.0500$ & $0.5470$ & $4.25$ & $4.02$ & $1.25$ & $0.74$ & $0.00$ & $0.54$ & $-0.34$ & $-0.42$ & $0.00$ & $0.01$ & $0.00$ \\ $1500$ & $0.0800$ & $0.4986$ & $4.29$ & $4.05$ & $1.23$ & $0.64$ & $0.13$ & $0.70$ & $0.42$ & $-0.17$ & $-0.01$ & $0.53$ & $0.00$ \\ $1500$ & $0.1300$ & $0.3514$ & $5.63$ & $5.25$ & $1.79$ & $1.12$ & $0.18$ & $0.92$ & $0.72$ & $-0.27$ & $-0.13$ & $0.49$ & $0.00$ \\ $1500$ & $0.1800$ & $0.3066$ & $5.83$ & $5.42$ & $1.89$ & $1.13$ & $0.23$ & $1.01$ & $0.60$ & $-0.11$ & $-0.05$ & $0.80$ & $0.00$ \\ $1500$ & $0.2500$ & $0.2297$ & $6.52$ & $6.05$ & $2.24$ & $1.29$ & $0.85$ & $0.90$ & $0.68$ & $-0.18$ & $-0.25$ & $-0.51$ & $0.00$ \\ $1500$ & $0.4000$ & $0.1353$ & $10.32$ & $8.82$ & $4.02$ & $2.35$ & $2.33$ & $3.54$ & $1.51$ & $-0.30$ & $-0.61$ & $-3.13$ & $0.00$ \\ $1500$ & $0.6500$ & $0.01469$ & $19.63$ & $14.78$ & $6.93$ & $4.41$ & $4.39$ & $10.90$ & $3.27$ & $-0.40$ & $-0.95$ & $-10.34$ & $0.00$ \\ \hline $2000$ & $0.0219$ & $0.8967$ & $7.26$ & $6.58$ & $2.49$ & $0.20$ & $0.18$ & $1.79$ & $0.18$ & $-0.20$ & $0.03$ & $0.19$ & $-1.76$ \\ $2000$ & $0.0320$ & $0.6323$ & $5.13$ & $4.89$ & $1.50$ & $0.20$ & $0.10$ & $0.49$ & $-0.16$ & $-0.41$ & $0.03$ & $0.15$ & $-0.15$ \\ $2000$ & $0.0500$ & $0.5475$ & $5.03$ & $4.87$ & $1.19$ & $0.43$ & $0.02$ & $0.42$ & $-0.25$ & $-0.33$ & $0.01$ & $0.04$ & $-0.02$ \\ $2000$ & $0.0800$ & $0.4363$ & $5.28$ & $5.02$ & $1.43$ & $0.84$ & $0.00$ & $0.79$ & $-0.64$ & $-0.46$ & $0.00$ & $0.00$ & $0.00$ \\ $2000$ & $0.1300$ & $0.3653$ & $6.25$ & $5.98$ & $1.64$ & $0.72$ & $0.06$ & $0.80$ & $0.48$ & $-0.24$ & $0.04$ & $0.59$ & $0.00$ \\ $2000$ & $0.1800$ & $0.2969$ & $6.95$ & $6.52$ & $2.17$ & $1.45$ & $0.23$ & $1.01$ & $0.79$ & $-0.26$ & $-0.16$ & $0.54$ & $0.00$ \\ $2000$ & $0.2500$ & $0.2483$ & $7.08$ & $6.68$ & $2.20$ & $1.28$ & $0.56$ & $0.81$ & $0.67$ & $-0.30$ & $-0.13$ & $-0.31$ & $0.00$ \\ $2000$ & $0.4000$ & $0.1249$ & $9.82$ & $8.56$ & $3.87$ & $2.33$ & $1.97$ & $2.88$ & $1.36$ & $-0.13$ & $-0.55$ & $-2.47$ & $0.00$ \\ $2000$ & $0.6500$ & $0.01062$ & $23.74$ & $19.67$ & $8.15$ & $5.31$ & $5.23$ & $10.50$ & $2.50$ & $-0.39$ & $-1.12$ & $-10.13$ & $0.00$ \\ \hline $3000$ & $0.0320$ & $0.7671$ & $4.82$ & $4.41$ & $1.83$ & $0.25$ & $0.11$ & $0.67$ & $-0.14$ & $-0.30$ & $0.02$ & $0.11$ & $-0.57$ \\ $3000$ & $0.0500$ & $0.5870$ & $4.27$ & $4.01$ & $1.40$ & $0.15$ & $0.05$ & $0.37$ & $-0.11$ & $-0.34$ & $0.02$ & $0.08$ & $-0.05$ \\ $3000$ & $0.0800$ & $0.4900$ & $4.59$ & $4.37$ & $1.33$ & $0.55$ & $0.00$ & $0.51$ & $-0.33$ & $-0.39$ & $0.00$ & $0.01$ & $0.00$ \\ $3000$ & $0.1300$ & $0.4137$ & $5.49$ & $5.17$ & $1.72$ & $0.85$ & $0.00$ & $0.61$ & $-0.50$ & $-0.34$ & $0.00$ & $0.00$ & $0.00$ \\ $3000$ & $0.1800$ & $0.2885$ & $6.48$ & $6.14$ & $1.87$ & $1.02$ & $0.19$ & $0.83$ & $0.55$ & $-0.11$ & $-0.06$ & $0.61$ & $0.00$ \\ $3000$ & $0.2500$ & $0.2131$ & $6.96$ & $6.55$ & $2.16$ & $1.36$ & $0.40$ & $0.96$ & $0.86$ & $-0.06$ & $-0.15$ & $-0.38$ & $0.00$ \\ $3000$ & $0.4000$ & $0.1245$ & $8.85$ & $7.49$ & $4.03$ & $2.77$ & $1.83$ & $2.44$ & $1.71$ & $-0.18$ & $-0.40$ & $-1.69$ & $0.00$ \\ $3000$ & $0.6500$ & $0.01303$ & $18.15$ & $14.62$ & $6.92$ & $4.13$ & $4.71$ & $8.23$ & $2.69$ & $-0.28$ & $-1.38$ & $-7.65$ & $0.00$ \\ \hline $5000$ & $0.0547$ & $0.6559$ & $6.35$ & $5.98$ & $2.02$ & $0.18$ & $0.14$ & $0.72$ & $0.14$ & $-0.38$ & $0.03$ & $0.13$ & $-0.58$ \\ $5000$ & $0.0800$ & $0.5540$ & $4.92$ & $4.65$ & $1.57$ & $0.16$ & $0.05$ & $0.35$ & $-0.19$ & $-0.27$ & $0.00$ & $0.06$ & $-0.08$ \\ $5000$ & $0.1300$ & $0.4827$ & $5.55$ & $5.23$ & $1.80$ & $0.33$ & $0.01$ & $0.46$ & $0.23$ & $-0.39$ & $0.00$ & $0.01$ & $0.00$ \\ $5000$ & $0.1800$ & $0.3772$ & $6.42$ & $6.13$ & $1.87$ & $0.26$ & $0.00$ & $0.37$ & $-0.11$ & $-0.35$ & $0.00$ & $0.00$ & $0.00$ \\ $5000$ & $0.2500$ & $0.2235$ & $8.37$ & $8.02$ & $2.25$ & $0.96$ & $0.00$ & $0.79$ & $0.77$ & $-0.19$ & $0.00$ & $0.00$ & $0.00$ \\ $5000$ & $0.4000$ & $0.1051$ & $10.63$ & $9.88$ & $3.51$ & $1.93$ & $1.48$ & $1.80$ & $1.41$ & $-0.09$ & $-0.54$ & $-0.99$ & $0.00$ \\ $5000$ & $0.6500$ & $0.01439$ & $18.84$ & $16.48$ & $7.19$ & $4.40$ & $4.59$ & $5.64$ & $2.53$ & $0.24$ & $-1.02$ & $-4.93$ & $0.00$ \\ \hline $8000$ & $0.0875$ & $0.6428$ & $9.35$ & $8.89$ & $2.72$ & $0.56$ & $0.06$ & $1.01$ & $0.26$ & $-0.33$ & $0.02$ & $0.09$ & $-0.92$ \\ $8000$ & $0.1300$ & $0.5263$ & $7.49$ & $7.10$ & $2.35$ & $0.27$ & $0.02$ & $0.45$ & $-0.20$ & $-0.31$ & $0.01$ & $0.05$ & $-0.26$ \\ $8000$ & $0.1800$ & $0.3753$ & $8.33$ & $8.01$ & $2.27$ & $0.17$ & $0.03$ & $0.39$ & $-0.09$ & $-0.38$ & $-0.01$ & $0.02$ & $0.00$ \\ $8000$ & $0.2500$ & $0.2636$ & $9.47$ & $9.07$ & $2.64$ & $1.14$ & $0.00$ & $0.60$ & $0.60$ & $0.06$ & $0.00$ & $0.00$ & $0.00$ \\ $8000$ & $0.4000$ & $0.1164$ & $13.53$ & $12.62$ & $4.43$ & $3.21$ & $0.00$ & $2.07$ & $1.98$ & $0.60$ & $0.00$ & $0.00$ & $0.00$ \\ $8000$ & $0.6500$ & $0.01037$ & $23.03$ & $21.89$ & $6.35$ & $3.71$ & $3.52$ & $3.31$ & $2.15$ & $0.36$ & $-0.82$ & $-2.36$ & $0.00$ \\ \hline $12000$ & $0.1300$ & $0.7243$ & $16.19$ & $15.45$ & $4.58$ & $0.69$ & $0.15$ & $1.48$ & $0.28$ & $-0.26$ & $0.04$ & $0.13$ & $-1.42$ \\ $12000$ & $0.1800$ & $0.5335$ & $9.86$ & $9.59$ & $2.25$ & $0.11$ & $0.07$ & $0.39$ & $-0.06$ & $-0.32$ & $0.03$ & $0.09$ & $-0.19$ \\ $12000$ & $0.2500$ & $0.3098$ & $11.43$ & $11.15$ & $2.49$ & $0.98$ & $0.02$ & $0.52$ & $0.49$ & $-0.15$ & $0.01$ & $0.03$ & $0.00$ \\ $12000$ & $0.4000$ & $0.2097$ & $13.47$ & $12.42$ & $4.94$ & $4.03$ & $0.00$ & $1.68$ & $1.58$ & $0.58$ & $0.00$ & $0.00$ & $0.00$ \\ $12000$ & $0.6500$ & $0.01439$ & $28.78$ & $27.80$ & $6.56$ & $4.81$ & $3.13$ & $3.56$ & $2.71$ & $0.51$ & $-0.95$ & $-2.05$ & $0.00$ \\ \hline $20000$ & $0.2500$ & $0.5939$ & $13.71$ & $13.34$ & $2.94$ & $1.16$ & $0.08$ & $1.17$ & $0.39$ & $-0.17$ & $0.03$ & $0.05$ & $-1.09$ \\ $20000$ & $0.4000$ & $0.2141$ & $17.21$ & $16.55$ & $4.59$ & $3.54$ & $0.03$ & $1.11$ & $1.09$ & $0.12$ & $0.01$ & $0.03$ & $-0.16$ \\ $20000$ & $0.6500$ & $0.01850$ & $44.37$ & $40.89$ & $16.39$ & $16.00$ & $0.00$ & $5.30$ & $4.61$ & $2.63$ & $0.00$ & $0.00$ & $0.00$ \\ \hline $30000$ & $0.4000$ & $0.1671$ & $36.74$ & $36.01$ & $7.03$ & $3.51$ & $0.15$ & $1.93$ & $1.04$ & $-0.15$ & $0.03$ & $0.11$ & $-1.62$ \\ $30000$ & $0.6500$ & $0.04155$ & $39.86$ & $37.83$ & $11.89$ & $11.21$ & $0.00$ & $3.97$ & $3.49$ & $1.90$ & $0.00$ & $0.01$ & $0.00$ \\ \hline $50000$ & $0.6500$ & $0.1133$ & $58.72$ & $57.78$ & $10.19$ & $7.43$ & $0.00$ & $2.38$ & $2.03$ & $1.25$ & $0.00$ & $0.00$ & $0.00$ \\ \hline \end{tabular} \end{center} %\caption{Continued from table~\ref{tab:ncdxdq2_eleLH}.} \captcont{continued.} \end{table} % tables 14 %\input{ncDxDq2e-RH} \begin{table}[htbp] \begin{center} \tiny \begin{tabular}{|r|c|r|r|r|r|r|r|r|r|r|r|r|r|} \hline $Q^2$ & $x$ & $\tilde{\sigma}_{\rm NC}$ & $\delta_{\rm tot}$ & $\delta_{\rm stat}$ & $\delta_{\rm unc}$ & $\delta_{\rm unc}^{E}$ & $\delta_{\rm unc}^{h}$& $\delta_{\rm cor}$ & $\delta_{\rm cor}^{E^+}$ & $\delta_{\rm cor}^{\theta^+}$& $\delta_{\rm cor}^{h^+}$& $\delta_{\rm cor}^{N^+}$& $\delta_{\rm cor}^{B^+}$ \\ $(\rm GeV^2)$ & & & $(\%)$ & $(\%)$ & $(\%)$ & $(\%)$ & $(\%)$ & $(\%)$ & $(\%)$ & $(\%)$ & $(\%)$ & $(\%)$ & $(\%)$ \\ \hline $120$ & $0.0020$ & $1.316$ & $1.92$ & $1.29$ & $0.95$ & $0.38$ & $0.09$ & $1.05$ & $-0.24$ & $-0.67$ & $0.02$ & $0.18$ & $-0.75$ \\ $120$ & $0.0032$ & $1.190$ & $2.32$ & $1.78$ & $1.24$ & $0.76$ & $0.05$ & $0.83$ & $-0.40$ & $-0.68$ & $0.02$ & $0.22$ & $-0.16$ \\ \hline $150$ & $0.0032$ & $1.185$ & $1.62$ & $1.09$ & $0.89$ & $0.37$ & $0.07$ & $0.80$ & $-0.30$ & $-0.58$ & $0.02$ & $0.20$ & $-0.41$ \\ $150$ & $0.0050$ & $1.083$ & $2.08$ & $1.29$ & $1.30$ & $0.99$ & $0.01$ & $0.98$ & $-0.56$ & $-0.81$ & $0.00$ & $0.05$ & $-0.03$ \\ $150$ & $0.0080$ & $0.9357$ & $2.88$ & $1.78$ & $1.85$ & $1.35$ & $0.86$ & $1.31$ & $-0.86$ & $-0.86$ & $-0.30$ & $-0.38$ & $-0.06$ \\ $150$ & $0.0130$ & $0.7694$ & $4.23$ & $2.42$ & $2.90$ & $2.48$ & $1.06$ & $1.90$ & $-1.43$ & $-0.96$ & $-0.33$ & $-0.74$ & $-0.10$ \\ \hline $200$ & $0.0032$ & $1.166$ & $2.38$ & $2.06$ & $0.95$ & $0.14$ & $0.07$ & $0.72$ & $-0.14$ & $-0.52$ & $0.02$ & $0.16$ & $-0.46$ \\ $200$ & $0.0050$ & $1.071$ & $1.91$ & $1.46$ & $0.96$ & $0.48$ & $0.02$ & $0.77$ & $-0.39$ & $-0.65$ & $0.00$ & $0.12$ & $-0.09$ \\ $200$ & $0.0080$ & $0.9308$ & $2.19$ & $1.44$ & $1.34$ & $1.03$ & $0.00$ & $0.97$ & $-0.65$ & $-0.72$ & $0.00$ & $0.00$ & $0.00$ \\ $200$ & $0.0130$ & $0.7788$ & $2.04$ & $1.67$ & $0.89$ & $0.08$ & $0.05$ & $0.76$ & $-0.09$ & $-0.41$ & $-0.07$ & $0.62$ & $-0.03$ \\ $200$ & $0.0200$ & $0.6780$ & $2.22$ & $1.81$ & $1.05$ & $0.52$ & $0.04$ & $0.75$ & $-0.43$ & $-0.46$ & $-0.04$ & $0.40$ & $-0.01$ \\ $200$ & $0.0320$ & $0.5524$ & $2.72$ & $2.12$ & $1.36$ & $0.79$ & $0.57$ & $1.01$ & $-0.39$ & $-0.91$ & $-0.18$ & $-0.12$ & $-0.01$ \\ $200$ & $0.0500$ & $0.5222$ & $3.39$ & $2.48$ & $1.78$ & $1.44$ & $0.08$ & $1.47$ & $-0.81$ & $-0.48$ & $-0.10$ & $1.13$ & $0.00$ \\ $200$ & $0.0800$ & $0.4227$ & $3.94$ & $2.51$ & $2.30$ & $2.01$ & $0.20$ & $1.99$ & $-1.18$ & $-0.53$ & $-0.12$ & $1.50$ & $0.00$ \\ $200$ & $0.1300$ & $0.3548$ & $3.91$ & $2.84$ & $2.21$ & $1.32$ & $1.14$ & $1.52$ & $-0.84$ & $-0.88$ & $-0.30$ & $-0.86$ & $0.00$ \\ $200$ & $0.1800$ & $0.3054$ & $5.42$ & $4.12$ & $2.83$ & $1.44$ & $1.77$ & $2.10$ & $-0.96$ & $-0.75$ & $-0.31$ & $-1.69$ & $0.00$ \\ \hline $250$ & $0.0050$ & $1.079$ & $2.03$ & $1.69$ & $0.94$ & $0.39$ & $0.07$ & $0.62$ & $-0.39$ & $-0.34$ & $0.01$ & $0.17$ & $-0.28$ \\ $250$ & $0.0080$ & $0.9100$ & $2.15$ & $1.64$ & $1.09$ & $0.68$ & $0.00$ & $0.86$ & $-0.66$ & $-0.55$ & $0.00$ & $0.02$ & $-0.03$ \\ $250$ & $0.0130$ & $0.7825$ & $2.51$ & $1.80$ & $1.32$ & $0.94$ & $0.26$ & $1.15$ & $0.47$ & $-0.65$ & $0.04$ & $0.83$ & $-0.03$ \\ $250$ & $0.0200$ & $0.6562$ & $2.44$ & $1.86$ & $1.25$ & $0.85$ & $0.18$ & $0.98$ & $0.30$ & $-0.46$ & $0.05$ & $0.81$ & $-0.03$ \\ $250$ & $0.0320$ & $0.5549$ & $2.57$ & $1.95$ & $1.34$ & $0.99$ & $0.08$ & $0.98$ & $0.43$ & $-0.56$ & $-0.12$ & $0.66$ & $0.00$ \\ $250$ & $0.0500$ & $0.4587$ & $2.90$ & $2.20$ & $1.25$ & $0.82$ & $0.05$ & $1.41$ & $0.29$ & $-0.44$ & $-0.02$ & $1.31$ & $0.00$ \\ $250$ & $0.0800$ & $0.4222$ & $3.32$ & $2.24$ & $1.33$ & $0.88$ & $0.09$ & $2.06$ & $0.44$ & $-0.65$ & $-0.07$ & $1.90$ & $0.00$ \\ $250$ & $0.1300$ & $0.3639$ & $3.03$ & $2.29$ & $1.74$ & $1.09$ & $0.48$ & $0.95$ & $0.53$ & $-0.65$ & $-0.23$ & $0.39$ & $0.00$ \\ $250$ & $0.1800$ & $0.2977$ & $5.03$ & $3.24$ & $2.85$ & $1.90$ & $1.51$ & $2.57$ & $1.11$ & $-0.67$ & $-0.29$ & $-2.20$ & $0.00$ \\ \hline $300$ & $0.0050$ & $1.140$ & $3.03$ & $2.77$ & $1.03$ & $0.24$ & $0.07$ & $0.70$ & $-0.27$ & $-0.54$ & $0.02$ & $0.18$ & $-0.30$ \\ $300$ & $0.0080$ & $0.9564$ & $2.18$ & $1.89$ & $0.88$ & $0.20$ & $0.02$ & $0.63$ & $-0.20$ & $-0.58$ & $0.01$ & $0.11$ & $-0.05$ \\ $300$ & $0.0130$ & $0.7934$ & $2.35$ & $1.92$ & $1.05$ & $0.57$ & $0.00$ & $0.87$ & $-0.56$ & $-0.67$ & $0.00$ & $0.00$ & $0.00$ \\ $300$ & $0.0200$ & $0.6795$ & $2.61$ & $2.10$ & $1.15$ & $0.69$ & $0.14$ & $1.03$ & $0.55$ & $-0.61$ & $0.01$ & $0.61$ & $0.00$ \\ $300$ & $0.0320$ & $0.5821$ & $2.74$ & $2.18$ & $1.29$ & $0.90$ & $0.07$ & $1.07$ & $0.55$ & $-0.58$ & $-0.11$ & $0.70$ & $0.00$ \\ $300$ & $0.0500$ & $0.4916$ & $3.12$ & $2.46$ & $1.52$ & $1.17$ & $0.13$ & $1.17$ & $0.61$ & $-0.67$ & $-0.07$ & $0.73$ & $0.00$ \\ $300$ & $0.0800$ & $0.4185$ & $3.69$ & $2.56$ & $1.40$ & $0.91$ & $0.37$ & $2.26$ & $0.29$ & $-0.60$ & $-0.04$ & $2.15$ & $-0.01$ \\ $300$ & $0.1300$ & $0.3461$ & $3.43$ & $2.61$ & $1.89$ & $1.33$ & $0.42$ & $1.17$ & $0.73$ & $-0.60$ & $-0.17$ & $0.67$ & $0.00$ \\ $300$ & $0.1800$ & $0.2791$ & $5.61$ & $3.47$ & $3.26$ & $2.22$ & $1.87$ & $2.96$ & $1.40$ & $-0.95$ & $-0.42$ & $-2.40$ & $0.00$ \\ $300$ & $0.4000$ & $0.1494$ & $7.25$ & $3.91$ & $3.41$ & $2.10$ & $1.91$ & $5.07$ & $1.16$ & $-0.76$ & $-0.31$ & $-4.86$ & $0.00$ \\ \hline $400$ & $0.0080$ & $0.9779$ & $2.67$ & $2.41$ & $0.97$ & $0.36$ & $0.05$ & $0.61$ & $-0.33$ & $-0.46$ & $0.01$ & $0.15$ & $-0.18$ \\ $400$ & $0.0130$ & $0.8148$ & $2.57$ & $2.24$ & $1.04$ & $0.55$ & $0.00$ & $0.70$ & $-0.55$ & $-0.44$ & $0.00$ & $0.02$ & $-0.01$ \\ $400$ & $0.0200$ & $0.6607$ & $2.89$ & $2.36$ & $1.31$ & $0.93$ & $0.00$ & $1.04$ & $-0.93$ & $-0.47$ & $0.00$ & $0.00$ & $0.00$ \\ $400$ & $0.0320$ & $0.5791$ & $2.80$ & $2.46$ & $1.07$ & $0.50$ & $0.18$ & $0.82$ & $0.49$ & $-0.44$ & $-0.08$ & $0.48$ & $0.00$ \\ $400$ & $0.0500$ & $0.4854$ & $3.05$ & $2.70$ & $1.20$ & $0.52$ & $0.48$ & $0.79$ & $0.51$ & $-0.44$ & $-0.11$ & $0.41$ & $0.00$ \\ $400$ & $0.0800$ & $0.3915$ & $3.85$ & $3.05$ & $1.18$ & $0.27$ & $0.55$ & $2.02$ & $0.24$ & $-0.35$ & $0.07$ & $1.98$ & $0.00$ \\ $400$ & $0.1300$ & $0.3593$ & $3.59$ & $2.96$ & $1.53$ & $0.75$ & $0.39$ & $1.33$ & $0.69$ & $-0.59$ & $-0.21$ & $0.95$ & $0.00$ \\ $400$ & $0.1800$ & $0.3012$ & $5.07$ & $3.45$ & $2.34$ & $0.96$ & $1.53$ & $2.88$ & $0.90$ & $-0.44$ & $-0.31$ & $-2.68$ & $0.00$ \\ $400$ & $0.4000$ & $0.1452$ & $8.22$ & $4.99$ & $3.43$ & $1.51$ & $2.33$ & $5.55$ & $1.43$ & $-0.89$ & $-0.44$ & $-5.27$ & $0.00$ \\ \hline $500$ & $0.0080$ & $0.9388$ & $4.11$ & $3.93$ & $1.11$ & $0.22$ & $0.08$ & $0.48$ & $-0.20$ & $-0.37$ & $0.02$ & $0.15$ & $-0.17$ \\ $500$ & $0.0130$ & $0.8057$ & $3.02$ & $2.80$ & $1.00$ & $0.37$ & $0.02$ & $0.55$ & $-0.30$ & $-0.45$ & $0.00$ & $0.09$ & $-0.06$ \\ $500$ & $0.0200$ & $0.6732$ & $3.18$ & $2.80$ & $1.19$ & $0.73$ & $0.00$ & $0.92$ & $-0.73$ & $-0.57$ & $0.00$ & $0.00$ & $-0.01$ \\ $500$ & $0.0320$ & $0.5728$ & $3.24$ & $2.89$ & $1.11$ & $0.49$ & $0.28$ & $0.95$ & $0.49$ & $-0.35$ & $0.16$ & $0.71$ & $0.00$ \\ $500$ & $0.0500$ & $0.5054$ & $3.43$ & $3.01$ & $1.30$ & $0.77$ & $0.35$ & $1.00$ & $0.78$ & $-0.50$ & $-0.23$ & $0.32$ & $0.00$ \\ $500$ & $0.0800$ & $0.4245$ & $3.86$ & $3.28$ & $1.15$ & $0.34$ & $0.37$ & $1.68$ & $0.34$ & $-0.35$ & $0.04$ & $1.60$ & $0.00$ \\ $500$ & $0.1300$ & $0.3611$ & $4.68$ & $4.14$ & $1.56$ & $0.80$ & $0.20$ & $1.52$ & $0.80$ & $-0.54$ & $-0.11$ & $1.17$ & $0.00$ \\ $500$ & $0.1800$ & $0.3152$ & $4.60$ & $4.06$ & $1.84$ & $0.78$ & $0.72$ & $1.12$ & $0.78$ & $-0.69$ & $-0.30$ & $-0.29$ & $0.00$ \\ $500$ & $0.2500$ & $0.2397$ & $6.88$ & $5.05$ & $2.74$ & $1.22$ & $1.82$ & $3.79$ & $1.22$ & $-0.60$ & $-0.36$ & $-3.51$ & $0.00$ \\ \hline $650$ & $0.0130$ & $0.8564$ & $3.31$ & $3.13$ & $1.00$ & $0.25$ & $0.06$ & $0.38$ & $-0.11$ & $-0.31$ & $0.02$ & $0.14$ & $-0.12$ \\ $650$ & $0.0200$ & $0.7176$ & $3.55$ & $3.26$ & $1.20$ & $0.65$ & $0.01$ & $0.74$ & $-0.54$ & $-0.52$ & $0.00$ & $0.02$ & $-0.01$ \\ $650$ & $0.0320$ & $0.6245$ & $3.76$ & $3.33$ & $1.37$ & $0.89$ & $0.00$ & $1.07$ & $-0.87$ & $-0.62$ & $0.00$ & $0.00$ & $0.00$ \\ $650$ & $0.0500$ & $0.5392$ & $3.74$ & $3.46$ & $1.14$ & $0.42$ & $0.10$ & $0.83$ & $0.50$ & $-0.26$ & $0.07$ & $0.61$ & $0.00$ \\ $650$ & $0.0800$ & $0.4014$ & $4.36$ & $4.01$ & $1.29$ & $0.62$ & $0.20$ & $1.12$ & $0.64$ & $-0.36$ & $-0.12$ & $0.84$ & $0.00$ \\ $650$ & $0.1300$ & $0.3282$ & $5.40$ & $4.99$ & $1.50$ & $0.47$ & $0.22$ & $1.43$ & $0.52$ & $-0.25$ & $-0.13$ & $1.30$ & $0.00$ \\ $650$ & $0.1800$ & $0.3253$ & $5.04$ & $4.67$ & $1.70$ & $0.61$ & $0.26$ & $0.83$ & $0.63$ & $-0.38$ & $-0.13$ & $-0.38$ & $0.00$ \\ $650$ & $0.2500$ & $0.2467$ & $6.96$ & $5.55$ & $2.90$ & $1.44$ & $1.83$ & $3.04$ & $1.42$ & $-0.56$ & $-0.51$ & $-2.58$ & $0.00$ \\ $650$ & $0.4000$ & $0.1106$ & $9.89$ & $8.49$ & $3.44$ & $1.47$ & $1.94$ & $3.71$ & $1.46$ & $-0.74$ & $-0.33$ & $-3.31$ & $0.00$ \\ \hline \end{tabular} \end{center} \caption[RESULT] {\label{tab:ncdxdq2_eleRH} The NC $e^-p$ reduced cross section $\tilde{\sigma}_{\rm NC}(x,Q^2)$ with lepton beam polarisation $P_e=+36.0$\% with statistical $(\delta_{\rm stat})$, total $(\delta_{tot})$, total uncorrelated systematic $(\delta_{\rm unc})$ errors, two of its contributions from the electron energy error ($\delta_{unc}^{E}$) and the hadronic energy error ($\delta_{\rm unc}^{h}$). The effect of the other uncorrelated systematic errors is included in $\delta_{\rm unc}$. In addition the correlated systematic $(\delta_{\rm cor})$ and its contributions from a positive variation of one standard deviation of the electron energy error ($\delta_{cor}^{E^+}$), of the polar electron angle error ($\delta_{\rm cor}^{\theta^+}$), of the hadronic energy error ($\delta_{\rm cor}^{h^+}$), of the error due to noise subtraction ($\delta_{\rm cor}^{N^+}$) and of the error due to background subtraction ($\delta_{\rm cor}^{B^+}$) are given. The normalisation and polarisation uncertainties are not included in the errors. The table continues on the next page.} \end{table} \begin{table}[htbp] \begin{center} \tiny \begin{tabular}{|r|c|r|r|r|r|r|r|r|r|r|r|r|r|} \hline $Q^2$ & $x$ & $\tilde{\sigma}_{\rm NC}$ & $\delta_{\rm tot}$ & $\delta_{\rm stat}$ & $\delta_{\rm unc}$ & $\delta_{\rm unc}^{E}$ & $\delta_{\rm unc}^{h}$& $\delta_{\rm cor}$ & $\delta_{\rm cor}^{E^+}$ & $\delta_{\rm cor}^{\theta^+}$& $\delta_{\rm cor}^{h^+}$& $\delta_{\rm cor}^{N^+}$& $\delta_{\rm cor}^{B^+}$ \\ $(\rm GeV^2)$ & & & $(\%)$ & $(\%)$ & $(\%)$ & $(\%)$ & $(\%)$ & $(\%)$ & $(\%)$ & $(\%)$ & $(\%)$ & $(\%)$ & $(\%)$ \\ \hline $800$ & $0.0130$ & $0.8156$ & $5.41$ & $5.20$ & $1.42$ & $0.68$ & $0.08$ & $0.56$ & $-0.34$ & $-0.38$ & $0.01$ & $0.16$ & $-0.16$ \\ $800$ & $0.0200$ & $0.6970$ & $3.96$ & $3.76$ & $1.16$ & $0.52$ & $0.03$ & $0.44$ & $-0.33$ & $-0.27$ & $0.00$ & $0.08$ & $-0.02$ \\ $800$ & $0.0320$ & $0.5977$ & $4.18$ & $3.87$ & $1.38$ & $0.84$ & $0.00$ & $0.74$ & $-0.67$ & $-0.32$ & $0.00$ & $0.00$ & $0.00$ \\ $800$ & $0.0500$ & $0.5348$ & $4.27$ & $4.04$ & $1.17$ & $0.24$ & $0.17$ & $0.73$ & $0.48$ & $-0.35$ & $0.06$ & $0.41$ & $-0.01$ \\ $800$ & $0.0800$ & $0.3757$ & $5.10$ & $4.83$ & $1.26$ & $0.31$ & $0.07$ & $1.06$ & $0.53$ & $-0.44$ & $-0.06$ & $0.81$ & $0.00$ \\ $800$ & $0.1300$ & $0.3512$ & $6.24$ & $5.90$ & $1.57$ & $0.19$ & $0.34$ & $1.27$ & $0.45$ & $-0.40$ & $-0.03$ & $1.12$ & $-0.02$ \\ $800$ & $0.1800$ & $0.3117$ & $6.72$ & $6.28$ & $2.02$ & $0.86$ & $0.74$ & $1.28$ & $1.02$ & $-0.47$ & $-0.28$ & $-0.55$ & $0.00$ \\ $800$ & $0.2500$ & $0.2222$ & $7.37$ & $6.66$ & $2.48$ & $0.99$ & $1.32$ & $1.95$ & $1.20$ & $-0.40$ & $-0.26$ & $-1.46$ & $0.00$ \\ $800$ & $0.4000$ & $0.1183$ & $11.91$ & $9.46$ & $4.15$ & $1.43$ & $2.88$ & $5.92$ & $1.54$ & $-0.56$ & $-0.85$ & $-5.63$ & $0.00$ \\ \hline $1000$ & $0.0130$ & $0.8198$ & $5.57$ & $5.19$ & $1.71$ & $0.28$ & $0.22$ & $1.08$ & $0.05$ & $-0.20$ & $0.06$ & $0.18$ & $-1.05$ \\ $1000$ & $0.0200$ & $0.6965$ & $4.63$ & $4.48$ & $1.10$ & $0.37$ & $0.05$ & $0.43$ & $-0.20$ & $-0.35$ & $0.02$ & $0.10$ & $-0.08$ \\ $1000$ & $0.0320$ & $0.6199$ & $4.84$ & $4.66$ & $1.20$ & $0.58$ & $0.00$ & $0.58$ & $-0.34$ & $-0.47$ & $0.00$ & $0.01$ & $0.00$ \\ $1000$ & $0.0500$ & $0.4908$ & $5.01$ & $4.74$ & $1.42$ & $0.90$ & $0.00$ & $0.77$ & $-0.47$ & $-0.61$ & $0.00$ & $0.00$ & $0.00$ \\ $1000$ & $0.0800$ & $0.4084$ & $5.43$ & $5.21$ & $1.30$ & $0.57$ & $0.16$ & $0.85$ & $0.41$ & $-0.32$ & $0.11$ & $0.66$ & $0.00$ \\ $1000$ & $0.1300$ & $0.3811$ & $6.19$ & $5.82$ & $1.52$ & $0.19$ & $0.32$ & $1.45$ & $0.46$ & $-0.26$ & $-0.02$ & $1.35$ & $0.00$ \\ $1000$ & $0.1800$ & $0.2933$ & $6.70$ & $6.43$ & $1.79$ & $0.49$ & $0.59$ & $0.63$ & $0.41$ & $-0.33$ & $-0.12$ & $-0.32$ & $0.00$ \\ $1000$ & $0.2500$ & $0.2710$ & $7.06$ & $6.71$ & $2.01$ & $0.64$ & $0.64$ & $0.96$ & $0.75$ & $-0.24$ & $-0.25$ & $0.48$ & $0.00$ \\ $1000$ & $0.4000$ & $0.1238$ & $12.66$ & $9.92$ & $4.75$ & $2.23$ & $3.36$ & $6.28$ & $1.75$ & $-0.65$ & $-0.72$ & $-5.95$ & $0.00$ \\ \hline $1200$ & $0.0130$ & $0.7581$ & $9.74$ & $9.00$ & $2.85$ & $0.18$ & $0.22$ & $2.39$ & $-0.20$ & $-0.13$ & $0.04$ & $0.15$ & $-2.37$ \\ $1200$ & $0.0200$ & $0.7496$ & $5.51$ & $5.37$ & $1.17$ & $0.10$ & $0.07$ & $0.42$ & $0.09$ & $-0.32$ & $0.02$ & $0.10$ & $-0.24$ \\ $1200$ & $0.0320$ & $0.6278$ & $5.19$ & $5.03$ & $1.13$ & $0.56$ & $0.01$ & $0.55$ & $-0.38$ & $-0.39$ & $0.00$ & $0.05$ & $-0.01$ \\ $1200$ & $0.0500$ & $0.5154$ & $5.39$ & $5.22$ & $1.24$ & $0.75$ & $0.00$ & $0.56$ & $-0.34$ & $-0.44$ & $0.00$ & $0.00$ & $0.00$ \\ $1200$ & $0.0800$ & $0.4535$ & $5.77$ & $5.53$ & $1.41$ & $0.93$ & $0.24$ & $0.83$ & $0.62$ & $-0.27$ & $-0.09$ & $0.47$ & $0.00$ \\ $1200$ & $0.1300$ & $0.3312$ & $7.25$ & $7.00$ & $1.57$ & $0.81$ & $0.04$ & $1.07$ & $0.60$ & $-0.25$ & $-0.04$ & $0.85$ & $0.00$ \\ $1200$ & $0.1800$ & $0.2648$ & $7.86$ & $7.60$ & $1.93$ & $1.15$ & $0.48$ & $0.65$ & $0.57$ & $-0.12$ & $-0.10$ & $0.27$ & $0.00$ \\ $1200$ & $0.2500$ & $0.2152$ & $8.51$ & $8.26$ & $1.92$ & $0.89$ & $0.59$ & $0.71$ & $0.58$ & $-0.29$ & $-0.18$ & $0.22$ & $0.00$ \\ $1200$ & $0.4000$ & $0.1305$ & $12.00$ & $10.01$ & $4.37$ & $2.59$ & $2.70$ & $4.96$ & $1.87$ & $-0.33$ & $-0.84$ & $-4.51$ & $0.00$ \\ \hline $1500$ & $0.0200$ & $0.7118$ & $6.93$ & $6.68$ & $1.77$ & $0.38$ & $0.17$ & $0.60$ & $-0.13$ & $-0.31$ & $0.02$ & $0.16$ & $-0.47$ \\ $1500$ & $0.0320$ & $0.6266$ & $6.33$ & $6.22$ & $1.10$ & $0.23$ & $0.03$ & $0.46$ & $-0.32$ & $-0.31$ & $0.01$ & $0.10$ & $-0.04$ \\ $1500$ & $0.0500$ & $0.5367$ & $6.19$ & $6.00$ & $1.37$ & $0.90$ & $0.00$ & $0.66$ & $-0.51$ & $-0.42$ & $0.00$ & $0.01$ & $0.00$ \\ $1500$ & $0.0800$ & $0.4479$ & $6.51$ & $6.35$ & $1.32$ & $0.76$ & $0.07$ & $0.52$ & $0.33$ & $-0.16$ & $0.02$ & $0.37$ & $0.00$ \\ $1500$ & $0.1300$ & $0.3257$ & $10.30$ & $10.17$ & $1.48$ & $0.41$ & $0.14$ & $0.81$ & $0.41$ & $0.12$ & $0.06$ & $0.69$ & $0.00$ \\ $1500$ & $0.1800$ & $0.2626$ & $9.05$ & $8.79$ & $1.91$ & $1.11$ & $0.21$ & $1.04$ & $0.70$ & $-0.35$ & $-0.31$ & $0.61$ & $0.00$ \\ $1500$ & $0.2500$ & $0.2490$ & $9.06$ & $8.68$ & $2.43$ & $1.48$ & $0.98$ & $0.89$ & $0.82$ & $0.11$ & $0.21$ & $-0.26$ & $0.00$ \\ $1500$ & $0.4000$ & $0.09081$ & $14.08$ & $13.16$ & $3.83$ & $2.26$ & $2.00$ & $3.25$ & $1.26$ & $-0.38$ & $-0.53$ & $-2.92$ & $0.00$ \\ $1500$ & $0.6500$ & $0.01231$ & $27.10$ & $23.63$ & $7.54$ & $4.91$ & $4.80$ & $10.93$ & $2.61$ & $-0.52$ & $-1.01$ & $-10.55$ & $0.00$ \\ \hline $2000$ & $0.0219$ & $0.7395$ & $10.99$ & $10.62$ & $2.48$ & $0.48$ & $0.22$ & $1.37$ & $-0.27$ & $-0.20$ & $0.06$ & $0.21$ & $-1.31$ \\ $2000$ & $0.0320$ & $0.6267$ & $7.47$ & $7.29$ & $1.58$ & $0.27$ & $0.10$ & $0.49$ & $0.06$ & $-0.33$ & $0.04$ & $0.11$ & $-0.33$ \\ $2000$ & $0.0500$ & $0.5035$ & $7.69$ & $7.57$ & $1.25$ & $0.49$ & $0.01$ & $0.49$ & $-0.40$ & $-0.28$ & $0.00$ & $0.03$ & $0.00$ \\ $2000$ & $0.0800$ & $0.4419$ & $7.52$ & $7.37$ & $1.38$ & $0.70$ & $0.00$ & $0.52$ & $-0.32$ & $-0.41$ & $0.00$ & $0.00$ & $0.00$ \\ $2000$ & $0.1300$ & $0.3075$ & $9.88$ & $9.69$ & $1.71$ & $0.73$ & $0.34$ & $0.85$ & $0.17$ & $-0.18$ & $0.15$ & $0.80$ & $0.00$ \\ $2000$ & $0.1800$ & $0.2856$ & $10.11$ & $9.83$ & $2.18$ & $1.38$ & $0.43$ & $0.94$ & $0.80$ & $-0.25$ & $-0.08$ & $0.42$ & $0.00$ \\ $2000$ & $0.2500$ & $0.2258$ & $10.72$ & $10.39$ & $2.42$ & $1.46$ & $0.84$ & $1.04$ & $0.96$ & $-0.24$ & $-0.28$ & $-0.16$ & $0.00$ \\ $2000$ & $0.4000$ & $0.1182$ & $13.61$ & $12.93$ & $3.47$ & $1.96$ & $1.54$ & $2.46$ & $1.25$ & $-0.05$ & $-0.40$ & $-2.08$ & $0.00$ \\ $2000$ & $0.6500$ & $0.007810$ & $35.78$ & $33.44$ & $7.79$ & $4.64$ & $5.28$ & $10.04$ & $2.98$ & $-0.66$ & $-0.96$ & $-9.52$ & $0.00$ \\ \hline $3000$ & $0.0320$ & $0.5900$ & $7.76$ & $7.46$ & $1.90$ & $0.09$ & $0.12$ & $0.93$ & $0.10$ & $-0.26$ & $0.03$ & $0.13$ & $-0.88$ \\ $3000$ & $0.0500$ & $0.5803$ & $6.14$ & $5.96$ & $1.44$ & $0.28$ & $0.06$ & $0.40$ & $-0.15$ & $-0.35$ & $0.03$ & $0.09$ & $-0.08$ \\ $3000$ & $0.0800$ & $0.4753$ & $6.78$ & $6.63$ & $1.31$ & $0.40$ & $0.00$ & $0.52$ & $-0.28$ & $-0.44$ & $0.00$ & $0.01$ & $-0.02$ \\ $3000$ & $0.1300$ & $0.3423$ & $8.65$ & $8.44$ & $1.76$ & $0.87$ & $0.00$ & $0.66$ & $-0.52$ & $-0.41$ & $0.00$ & $0.00$ & $0.00$ \\ $3000$ & $0.1800$ & $0.3003$ & $9.27$ & $9.00$ & $2.05$ & $1.27$ & $0.21$ & $0.89$ & $0.78$ & $-0.09$ & $-0.09$ & $0.41$ & $0.00$ \\ $3000$ & $0.2500$ & $0.2826$ & $8.95$ & $8.59$ & $2.32$ & $1.56$ & $0.37$ & $0.95$ & $0.86$ & $-0.09$ & $0.06$ & $0.38$ & $0.00$ \\ $3000$ & $0.4000$ & $0.08914$ & $13.50$ & $12.93$ & $3.43$ & $2.12$ & $1.39$ & $1.76$ & $1.28$ & $-0.19$ & $-0.44$ & $-1.10$ & $0.00$ \\ $3000$ & $0.6500$ & $0.005010$ & $37.74$ & $35.57$ & $8.46$ & $5.69$ & $5.45$ & $9.35$ & $3.03$ & $-0.13$ & $-1.35$ & $-8.74$ & $0.00$ \\ \hline $5000$ & $0.0547$ & $0.5599$ & $9.80$ & $9.54$ & $2.13$ & $0.37$ & $0.10$ & $0.68$ & $-0.18$ & $-0.32$ & $0.03$ & $0.10$ & $-0.56$ \\ $5000$ & $0.0800$ & $0.4362$ & $7.86$ & $7.68$ & $1.62$ & $0.25$ & $0.06$ & $0.42$ & $-0.22$ & $-0.29$ & $0.01$ & $0.08$ & $-0.19$ \\ $5000$ & $0.1300$ & $0.3964$ & $8.70$ & $8.49$ & $1.85$ & $0.43$ & $0.02$ & $0.44$ & $0.25$ & $-0.37$ & $0.00$ & $0.02$ & $-0.04$ \\ $5000$ & $0.1800$ & $0.3454$ & $9.67$ & $9.47$ & $1.91$ & $0.29$ & $0.00$ & $0.43$ & $-0.30$ & $-0.31$ & $0.00$ & $0.00$ & $0.00$ \\ $5000$ & $0.2500$ & $0.2430$ & $17.03$ & $16.81$ & $2.56$ & $1.47$ & $0.00$ & $0.94$ & $0.93$ & $-0.10$ & $0.00$ & $0.00$ & $0.00$ \\ $5000$ & $0.4000$ & $0.1382$ & $13.32$ & $12.82$ & $3.38$ & $1.76$ & $1.27$ & $1.30$ & $1.08$ & $-0.11$ & $-0.27$ & $-0.67$ & $0.00$ \\ $5000$ & $0.6500$ & $0.01280$ & $27.43$ & $25.88$ & $6.77$ & $3.48$ & $4.66$ & $6.05$ & $2.25$ & $0.35$ & $-1.49$ & $-5.40$ & $0.00$ \\ \hline $8000$ & $0.0875$ & $0.5903$ & $14.27$ & $13.94$ & $2.79$ & $0.22$ & $0.16$ & $1.32$ & $0.13$ & $-0.41$ & $0.04$ & $0.16$ & $-1.23$ \\ $8000$ & $0.1300$ & $0.4711$ & $11.39$ & $11.13$ & $2.40$ & $0.29$ & $0.08$ & $0.39$ & $-0.19$ & $-0.25$ & $0.02$ & $0.09$ & $-0.20$ \\ $8000$ & $0.1800$ & $0.3787$ & $11.97$ & $11.74$ & $2.31$ & $0.17$ & $0.00$ & $0.34$ & $0.13$ & $-0.31$ & $0.00$ & $0.02$ & $0.00$ \\ $8000$ & $0.2500$ & $0.2430$ & $14.27$ & $14.04$ & $2.56$ & $0.80$ & $0.00$ & $0.34$ & $0.31$ & $0.12$ & $0.00$ & $0.00$ & $0.00$ \\ $8000$ & $0.4000$ & $0.1130$ & $19.80$ & $18.93$ & $5.29$ & $4.26$ & $0.00$ & $2.41$ & $2.38$ & $0.36$ & $0.00$ & $0.00$ & $0.00$ \\ $8000$ & $0.6500$ & $0.01617$ & $28.34$ & $26.77$ & $8.04$ & $5.47$ & $4.37$ & $4.62$ & $3.03$ & $-0.35$ & $-0.99$ & $-3.34$ & $0.00$ \\ \hline $12000$ & $0.1300$ & $0.6871$ & $23.67$ & $23.42$ & $3.21$ & $1.04$ & $0.09$ & $1.28$ & $0.50$ & $-0.41$ & $0.03$ & $0.08$ & $-1.10$ \\ $12000$ & $0.1800$ & $0.3882$ & $16.90$ & $16.73$ & $2.34$ & $0.50$ & $0.09$ & $0.39$ & $-0.15$ & $-0.29$ & $0.03$ & $0.10$ & $-0.19$ \\ $12000$ & $0.2500$ & $0.3008$ & $16.92$ & $16.72$ & $2.60$ & $1.20$ & $0.01$ & $0.46$ & $0.45$ & $0.12$ & $0.01$ & $0.03$ & $0.00$ \\ $12000$ & $0.4000$ & $0.1494$ & $22.50$ & $21.86$ & $4.91$ & $3.98$ & $0.00$ & $2.06$ & $1.96$ & $0.65$ & $0.00$ & $0.00$ & $0.00$ \\ $12000$ & $0.6500$ & $0.01225$ & $45.33$ & $44.83$ & $6.13$ & $4.35$ & $2.88$ & $2.67$ & $2.19$ & $0.30$ & $-0.58$ & $-1.38$ & $0.00$ \\ \hline $20000$ & $0.2500$ & $0.1984$ & $34.22$ & $34.11$ & $2.68$ & $1.19$ & $0.08$ & $0.57$ & $0.53$ & $-0.18$ & $0.02$ & $0.08$ & $-0.07$ \\ $20000$ & $0.4000$ & $0.2224$ & $24.77$ & $24.30$ & $4.72$ & $3.73$ & $0.02$ & $0.82$ & $0.81$ & $0.10$ & $0.01$ & $0.02$ & $0.00$ \\ $20000$ & $0.6500$ & $0.01299$ & $72.61$ & $70.89$ & $14.87$ & $14.40$ & $0.00$ & $4.95$ & $4.11$ & $2.76$ & $0.00$ & $0.00$ & $0.00$ \\ \hline $30000$ & $0.4000$ & $0.2553$ & $43.91$ & $43.40$ & $6.07$ & $3.07$ & $0.11$ & $2.69$ & $1.09$ & $-0.53$ & $0.02$ & $0.06$ & $-2.40$ \\ $30000$ & $0.6500$ & $0.03854$ & $58.87$ & $57.81$ & $10.51$ & $9.70$ & $0.00$ & $3.70$ & $3.26$ & $1.74$ & $0.00$ & $0.00$ & $0.00$ \\ \hline \end{tabular} \end{center} %\caption{Continued from table~\ref{tab:ncdxdq2_eleRH}.} \captcont{continued.} \end{table} % tables 15 %\input{ncDxDq2e+LH} \begin{table}[htbp] \begin{center} \tiny \begin{tabular}{|r|c|r|r|r|r|r|r|r|r|r|r|r|r|} \hline $Q^2$ & $x$ & $\tilde{\sigma}_{\rm NC}$ & $\delta_{\rm tot}$ & $\delta_{\rm stat}$ & $\delta_{\rm unc}$ & $\delta_{\rm unc}^{E}$ & $\delta_{\rm unc}^{h}$& $\delta_{\rm cor}$ & $\delta_{\rm cor}^{E^+}$ & $\delta_{\rm cor}^{\theta^+}$& $\delta_{\rm cor}^{h^+}$& $\delta_{\rm cor}^{N^+}$& $\delta_{\rm cor}^{B^+}$ \\ $(\rm GeV^2)$ & & & $(\%)$ & $(\%)$ & $(\%)$ & $(\%)$ & $(\%)$ & $(\%)$ & $(\%)$ & $(\%)$ & $(\%)$ & $(\%)$ & $(\%)$ \\ \hline $120$ & $0.0020$ & $1.342$ & $1.71$ & $0.97$ & $0.93$ & $0.55$ & $0.09$ & $1.05$ & $-0.31$ & $-0.58$ & $0.02$ & $0.17$ & $-0.79$ \\ $120$ & $0.0032$ & $1.226$ & $1.89$ & $1.38$ & $0.98$ & $0.50$ & $0.03$ & $0.84$ & $-0.28$ & $-0.76$ & $0.00$ & $0.20$ & $-0.07$ \\ \hline $150$ & $0.0032$ & $1.225$ & $1.42$ & $0.82$ & $0.83$ & $0.48$ & $0.06$ & $0.80$ & $-0.34$ & $-0.54$ & $0.01$ & $0.19$ & $-0.45$ \\ $150$ & $0.0050$ & $1.076$ & $1.82$ & $1.00$ & $1.22$ & $0.98$ & $0.00$ & $0.92$ & $-0.66$ & $-0.64$ & $0.00$ & $0.04$ & $-0.02$ \\ $150$ & $0.0080$ & $0.9295$ & $2.64$ & $1.36$ & $1.89$ & $1.34$ & $1.05$ & $1.24$ & $-0.84$ & $-0.56$ & $-0.31$ & $-0.66$ & $-0.05$ \\ $150$ & $0.0130$ & $0.8072$ & $4.12$ & $1.92$ & $2.85$ & $2.47$ & $1.00$ & $2.28$ & $-1.54$ & $-1.30$ & $-0.32$ & $-1.02$ & $-0.01$ \\ \hline $200$ & $0.0032$ & $1.240$ & $1.97$ & $1.55$ & $0.84$ & $0.13$ & $0.08$ & $0.88$ & $-0.14$ & $-0.64$ & $0.02$ & $0.18$ & $-0.56$ \\ $200$ & $0.0050$ & $1.101$ & $1.58$ & $1.08$ & $0.87$ & $0.50$ & $0.02$ & $0.75$ & $-0.41$ & $-0.62$ & $0.00$ & $0.11$ & $-0.07$ \\ $200$ & $0.0080$ & $0.9486$ & $1.98$ & $1.09$ & $1.32$ & $1.10$ & $0.00$ & $0.98$ & $-0.59$ & $-0.78$ & $0.00$ & $0.00$ & $-0.01$ \\ $200$ & $0.0130$ & $0.7920$ & $1.63$ & $1.24$ & $0.77$ & $0.10$ & $0.03$ & $0.72$ & $0.06$ & $-0.45$ & $0.01$ & $0.55$ & $-0.01$ \\ $200$ & $0.0200$ & $0.6872$ & $1.89$ & $1.38$ & $1.05$ & $0.69$ & $0.06$ & $0.75$ & $-0.35$ & $-0.55$ & $-0.15$ & $0.33$ & $-0.02$ \\ $200$ & $0.0320$ & $0.5807$ & $2.33$ & $1.61$ & $1.47$ & $1.10$ & $0.47$ & $0.85$ & $-0.62$ & $-0.54$ & $-0.17$ & $0.10$ & $0.00$ \\ $200$ & $0.0500$ & $0.5212$ & $3.20$ & $1.79$ & $2.00$ & $1.78$ & $0.06$ & $1.73$ & $-1.22$ & $-0.69$ & $-0.05$ & $1.02$ & $0.00$ \\ $200$ & $0.0800$ & $0.4303$ & $3.50$ & $1.99$ & $2.07$ & $1.81$ & $0.08$ & $2.00$ & $-1.04$ & $-0.86$ & $-0.20$ & $1.46$ & $0.00$ \\ $200$ & $0.1300$ & $0.3652$ & $3.67$ & $2.25$ & $2.30$ & $1.56$ & $1.08$ & $1.78$ & $-1.05$ & $-0.92$ & $-0.21$ & $-1.09$ & $0.00$ \\ $200$ & $0.1800$ & $0.3205$ & $4.68$ & $2.97$ & $3.01$ & $1.73$ & $1.85$ & $1.99$ & $-0.99$ & $-0.81$ & $-0.35$ & $-1.49$ & $0.00$ \\ \hline $250$ & $0.0050$ & $1.106$ & $1.59$ & $1.25$ & $0.78$ & $0.29$ & $0.06$ & $0.59$ & $-0.27$ & $-0.43$ & $0.01$ & $0.16$ & $-0.26$ \\ $250$ & $0.0080$ & $0.9476$ & $1.73$ & $1.24$ & $0.93$ & $0.58$ & $0.00$ & $0.76$ & $-0.50$ & $-0.57$ & $0.00$ & $0.03$ & $-0.03$ \\ $250$ & $0.0130$ & $0.7931$ & $2.09$ & $1.38$ & $1.17$ & $0.87$ & $0.17$ & $1.04$ & $0.45$ & $-0.60$ & $-0.06$ & $0.72$ & $-0.01$ \\ $250$ & $0.0200$ & $0.6765$ & $2.23$ & $1.40$ & $1.35$ & $1.07$ & $0.28$ & $1.08$ & $0.48$ & $-0.65$ & $-0.03$ & $0.72$ & $-0.01$ \\ $250$ & $0.0320$ & $0.5679$ & $2.17$ & $1.46$ & $1.29$ & $1.01$ & $0.16$ & $0.95$ & $0.39$ & $-0.46$ & $0.04$ & $0.74$ & $0.00$ \\ $250$ & $0.0500$ & $0.4983$ & $2.56$ & $1.57$ & $1.23$ & $0.90$ & $0.14$ & $1.61$ & $0.42$ & $-0.56$ & $-0.12$ & $1.44$ & $0.00$ \\ $250$ & $0.0800$ & $0.4353$ & $2.96$ & $1.71$ & $1.07$ & $0.53$ & $0.29$ & $2.17$ & $0.30$ & $-0.43$ & $0.03$ & $2.10$ & $-0.01$ \\ $250$ & $0.1300$ & $0.3763$ & $2.79$ & $1.81$ & $1.84$ & $1.13$ & $0.84$ & $1.05$ & $0.56$ & $-0.60$ & $-0.31$ & $-0.58$ & $0.00$ \\ $250$ & $0.1800$ & $0.2954$ & $4.13$ & $2.39$ & $2.49$ & $1.51$ & $1.36$ & $2.27$ & $0.84$ & $-0.68$ & $-0.24$ & $-1.98$ & $0.00$ \\ \hline $300$ & $0.0050$ & $1.113$ & $2.42$ & $2.13$ & $0.94$ & $0.25$ & $0.08$ & $0.68$ & $-0.25$ & $-0.39$ & $0.02$ & $0.16$ & $-0.47$ \\ $300$ & $0.0080$ & $0.9562$ & $1.80$ & $1.45$ & $0.83$ & $0.38$ & $0.02$ & $0.68$ & $-0.38$ & $-0.55$ & $0.00$ & $0.10$ & $-0.05$ \\ $300$ & $0.0130$ & $0.8024$ & $1.95$ & $1.45$ & $0.97$ & $0.61$ & $0.00$ & $0.85$ & $-0.60$ & $-0.61$ & $0.00$ & $0.00$ & $-0.01$ \\ $300$ & $0.0200$ & $0.6950$ & $2.05$ & $1.60$ & $0.92$ & $0.45$ & $0.17$ & $0.89$ & $0.31$ & $-0.44$ & $-0.04$ & $0.71$ & $-0.02$ \\ $300$ & $0.0320$ & $0.5811$ & $2.36$ & $1.69$ & $1.25$ & $0.96$ & $0.11$ & $1.07$ & $0.53$ & $-0.64$ & $-0.03$ & $0.68$ & $-0.02$ \\ $300$ & $0.0500$ & $0.4956$ & $2.63$ & $1.82$ & $1.37$ & $1.05$ & $0.24$ & $1.32$ & $0.62$ & $-0.63$ & $-0.10$ & $0.97$ & $0.00$ \\ $300$ & $0.0800$ & $0.4375$ & $3.31$ & $1.85$ & $1.44$ & $1.06$ & $0.39$ & $2.33$ & $0.47$ & $-0.61$ & $-0.08$ & $2.20$ & $-0.01$ \\ $300$ & $0.1300$ & $0.3645$ & $2.93$ & $1.93$ & $1.84$ & $1.32$ & $0.46$ & $1.20$ & $0.66$ & $-0.73$ & $-0.21$ & $-0.66$ & $0.00$ \\ $300$ & $0.1800$ & $0.3022$ & $4.79$ & $2.52$ & $2.97$ & $2.01$ & $1.65$ & $2.80$ & $1.03$ & $-0.67$ & $-0.34$ & $-2.49$ & $0.00$ \\ $300$ & $0.4000$ & $0.1520$ & $7.17$ & $3.06$ & $3.84$ & $2.51$ & $2.25$ & $5.22$ & $1.39$ & $-0.94$ & $-0.41$ & $-4.93$ & $0.00$ \\ \hline $400$ & $0.0080$ & $1.005$ & $2.03$ & $1.77$ & $0.83$ & $0.28$ & $0.06$ & $0.57$ & $-0.29$ & $-0.42$ & $0.01$ & $0.14$ & $-0.20$ \\ $400$ & $0.0130$ & $0.8181$ & $2.05$ & $1.71$ & $0.91$ & $0.49$ & $0.01$ & $0.69$ & $-0.48$ & $-0.48$ & $0.00$ & $0.03$ & $-0.01$ \\ $400$ & $0.0200$ & $0.6991$ & $2.35$ & $1.77$ & $1.15$ & $0.83$ & $0.00$ & $1.03$ & $-0.83$ & $-0.61$ & $0.00$ & $0.00$ & $0.00$ \\ $400$ & $0.0320$ & $0.5960$ & $2.31$ & $1.91$ & $0.95$ & $0.48$ & $0.08$ & $0.90$ & $0.48$ & $-0.43$ & $-0.05$ & $0.62$ & $0.00$ \\ $400$ & $0.0500$ & $0.4920$ & $2.51$ & $2.05$ & $1.08$ & $0.62$ & $0.26$ & $0.97$ & $0.59$ & $-0.53$ & $-0.09$ & $0.55$ & $0.00$ \\ $400$ & $0.0800$ & $0.4180$ & $3.26$ & $2.15$ & $1.03$ & $0.28$ & $0.42$ & $2.23$ & $0.24$ & $-0.27$ & $0.14$ & $2.20$ & $0.00$ \\ $400$ & $0.1300$ & $0.3590$ & $2.88$ & $2.11$ & $1.48$ & $0.77$ & $0.37$ & $1.28$ & $0.71$ & $-0.65$ & $-0.24$ & $0.81$ & $0.00$ \\ $400$ & $0.1800$ & $0.3005$ & $4.89$ & $2.76$ & $2.57$ & $1.25$ & $1.74$ & $3.11$ & $1.18$ & $-0.64$ & $-0.41$ & $-2.77$ & $0.00$ \\ $400$ & $0.4000$ & $0.1541$ & $7.61$ & $3.56$ & $3.27$ & $1.33$ & $2.25$ & $5.88$ & $1.25$ & $-0.76$ & $-0.36$ & $-5.69$ & $0.00$ \\ \hline $500$ & $0.0080$ & $0.9664$ & $3.15$ & $2.93$ & $1.03$ & $0.31$ & $0.07$ & $0.55$ & $-0.16$ & $-0.37$ & $0.01$ & $0.15$ & $-0.34$ \\ $500$ & $0.0130$ & $0.8628$ & $2.37$ & $2.10$ & $0.91$ & $0.41$ & $0.02$ & $0.61$ & $-0.38$ & $-0.47$ & $0.01$ & $0.10$ & $-0.04$ \\ $500$ & $0.0200$ & $0.7297$ & $2.46$ & $2.09$ & $1.00$ & $0.57$ & $0.00$ & $0.81$ & $-0.55$ & $-0.59$ & $0.00$ & $0.00$ & $0.00$ \\ $500$ & $0.0320$ & $0.5975$ & $2.68$ & $2.28$ & $1.02$ & $0.44$ & $0.37$ & $0.98$ & $0.45$ & $-0.39$ & $-0.07$ & $0.77$ & $-0.01$ \\ $500$ & $0.0500$ & $0.5146$ & $2.70$ & $2.29$ & $1.08$ & $0.59$ & $0.23$ & $0.94$ & $0.59$ & $-0.48$ & $-0.12$ & $0.53$ & $0.00$ \\ $500$ & $0.0800$ & $0.4219$ & $3.11$ & $2.48$ & $1.01$ & $0.35$ & $0.18$ & $1.58$ & $0.35$ & $-0.28$ & $-0.03$ & $1.52$ & $0.00$ \\ $500$ & $0.1300$ & $0.3936$ & $3.62$ & $2.93$ & $1.36$ & $0.54$ & $0.06$ & $1.64$ & $0.54$ & $-0.43$ & $-0.10$ & $1.48$ & $0.00$ \\ $500$ & $0.1800$ & $0.3095$ & $3.70$ & $3.13$ & $1.78$ & $0.73$ & $0.79$ & $0.88$ & $0.73$ & $-0.41$ & $-0.24$ & $-0.13$ & $0.00$ \\ $500$ & $0.2500$ & $0.2451$ & $6.29$ & $3.83$ & $2.82$ & $1.19$ & $2.00$ & $4.12$ & $1.19$ & $-0.56$ & $-0.34$ & $-3.89$ & $0.00$ \\ \hline $650$ & $0.0130$ & $0.8608$ & $2.56$ & $2.35$ & $0.90$ & $0.29$ & $0.04$ & $0.47$ & $-0.26$ & $-0.38$ & $0.01$ & $0.09$ & $-0.08$ \\ $650$ & $0.0200$ & $0.7302$ & $2.82$ & $2.47$ & $1.15$ & $0.73$ & $0.00$ & $0.76$ & $-0.56$ & $-0.51$ & $0.00$ & $0.02$ & $-0.02$ \\ $650$ & $0.0320$ & $0.6111$ & $2.95$ & $2.56$ & $1.16$ & $0.70$ & $0.00$ & $0.90$ & $-0.66$ & $-0.61$ & $0.00$ & $0.00$ & $0.00$ \\ $650$ & $0.0500$ & $0.4995$ & $3.15$ & $2.74$ & $1.22$ & $0.74$ & $0.20$ & $0.99$ & $0.78$ & $-0.42$ & $-0.12$ & $0.42$ & $-0.01$ \\ $650$ & $0.0800$ & $0.3952$ & $3.58$ & $3.04$ & $1.16$ & $0.54$ & $0.18$ & $1.50$ & $0.59$ & $-0.62$ & $0.05$ & $1.24$ & $0.00$ \\ $650$ & $0.1300$ & $0.3548$ & $3.94$ & $3.30$ & $1.40$ & $0.45$ & $0.02$ & $1.65$ & $0.51$ & $-0.10$ & $-0.10$ & $1.56$ & $0.00$ \\ $650$ & $0.1800$ & $0.3200$ & $4.16$ & $3.57$ & $1.80$ & $0.80$ & $0.61$ & $1.16$ & $0.82$ & $-0.58$ & $-0.23$ & $-0.53$ & $0.00$ \\ $650$ & $0.2500$ & $0.2397$ & $6.24$ & $4.65$ & $2.49$ & $1.10$ & $1.51$ & $3.32$ & $1.14$ & $-0.48$ & $-0.35$ & $-3.06$ & $0.00$ \\ $650$ & $0.4000$ & $0.1337$ & $8.49$ & $6.70$ & $3.67$ & $1.57$ & $2.32$ & $3.70$ & $1.59$ & $-0.51$ & $-0.54$ & $-3.26$ & $0.00$ \\ \hline \end{tabular} \end{center} \caption[RESULT] {\label{tab:ncdxdq2_posLH} The NC $e^+p$ reduced cross section $\tilde{\sigma}_{\rm NC}(x,Q^2)$ with lepton beam polarisation $P_e=-37.0$\% with statistical $(\delta_{\rm stat})$, total $(\delta_{tot})$, total uncorrelated systematic $(\delta_{\rm unc})$ errors, two of its contributions from the electron energy error ($\delta_{unc}^{E}$) and the hadronic energy error ($\delta_{\rm unc}^{h}$). The effect of the other uncorrelated systematic errors is included in $\delta_{\rm unc}$. In addition the correlated systematic $(\delta_{\rm cor})$ and its contributions from a positive variation of one standard deviation of the electron energy error ($\delta_{cor}^{E^+}$), of the polar electron angle error ($\delta_{\rm cor}^{\theta^+}$), of the hadronic energy error ($\delta_{\rm cor}^{h^+}$), of the error due to noise subtraction ($\delta_{\rm cor}^{N^+}$) and of the error due to background subtraction ($\delta_{\rm cor}^{B^+}$) are given. The normalisation and polarisation uncertainties are not included in the errors. The table continues on the next page.} \end{table} \begin{table}[htbp] \begin{center} \tiny \begin{tabular}{|r|c|r|r|r|r|r|r|r|r|r|r|r|r|} \hline $Q^2$ & $x$ & $\tilde{\sigma}_{\rm NC}$ & $\delta_{\rm tot}$ & $\delta_{\rm stat}$ & $\delta_{\rm unc}$ & $\delta_{\rm unc}^{E}$ & $\delta_{\rm unc}^{h}$& $\delta_{\rm cor}$ & $\delta_{\rm cor}^{E^+}$ & $\delta_{\rm cor}^{\theta^+}$& $\delta_{\rm cor}^{h^+}$& $\delta_{\rm cor}^{N^+}$& $\delta_{\rm cor}^{B^+}$ \\ $(\rm GeV^2)$ & & & $(\%)$ & $(\%)$ & $(\%)$ & $(\%)$ & $(\%)$ & $(\%)$ & $(\%)$ & $(\%)$ & $(\%)$ & $(\%)$ & $(\%)$ \\ \hline $800$ & $0.0130$ & $0.7821$ & $4.13$ & $3.94$ & $1.15$ & $0.17$ & $0.08$ & $0.44$ & $-0.26$ & $-0.29$ & $0.03$ & $0.13$ & $-0.14$ \\ $800$ & $0.0200$ & $0.6885$ & $3.07$ & $2.84$ & $1.06$ & $0.50$ & $0.02$ & $0.49$ & $-0.31$ & $-0.37$ & $0.00$ & $0.05$ & $-0.06$ \\ $800$ & $0.0320$ & $0.5827$ & $3.37$ & $3.09$ & $1.20$ & $0.67$ & $0.00$ & $0.61$ & $-0.51$ & $-0.33$ & $0.00$ & $0.00$ & $0.00$ \\ $800$ & $0.0500$ & $0.5163$ & $3.40$ & $3.14$ & $1.09$ & $0.27$ & $0.22$ & $0.70$ & $0.46$ & $-0.30$ & $-0.12$ & $0.42$ & $0.00$ \\ $800$ & $0.0800$ & $0.4596$ & $3.78$ & $3.35$ & $1.28$ & $0.56$ & $0.25$ & $1.19$ & $0.74$ & $-0.55$ & $-0.17$ & $0.73$ & $-0.01$ \\ $800$ & $0.1300$ & $0.3435$ & $4.73$ & $4.04$ & $1.57$ & $0.33$ & $0.51$ & $1.90$ & $0.58$ & $-0.61$ & $-0.03$ & $1.71$ & $0.00$ \\ $800$ & $0.1800$ & $0.3167$ & $4.64$ & $4.18$ & $1.85$ & $0.60$ & $0.74$ & $0.80$ & $0.64$ & $-0.44$ & $-0.16$ & $0.09$ & $0.00$ \\ $800$ & $0.2500$ & $0.2177$ & $6.15$ & $5.17$ & $2.49$ & $1.17$ & $1.27$ & $2.24$ & $1.22$ & $-0.55$ & $-0.41$ & $-1.75$ & $0.00$ \\ $800$ & $0.4000$ & $0.1220$ & $10.23$ & $7.21$ & $4.57$ & $2.36$ & $2.94$ & $5.64$ & $2.31$ & $-0.64$ & $-0.69$ & $-5.06$ & $0.00$ \\ \hline $1000$ & $0.0130$ & $0.8145$ & $4.35$ & $3.89$ & $1.58$ & $0.14$ & $0.26$ & $1.13$ & $-0.13$ & $-0.35$ & $0.05$ & $0.20$ & $-1.05$ \\ $1000$ & $0.0200$ & $0.7280$ & $3.45$ & $3.28$ & $0.99$ & $0.34$ & $0.04$ & $0.43$ & $-0.21$ & $-0.35$ & $0.01$ & $0.10$ & $-0.10$ \\ $1000$ & $0.0320$ & $0.5753$ & $3.60$ & $3.38$ & $1.10$ & $0.59$ & $0.00$ & $0.60$ & $-0.34$ & $-0.50$ & $0.00$ & $0.01$ & $-0.02$ \\ $1000$ & $0.0500$ & $0.4892$ & $4.11$ & $3.58$ & $1.70$ & $1.37$ & $0.00$ & $1.09$ & $-1.02$ & $-0.40$ & $0.00$ & $0.00$ & $0.00$ \\ $1000$ & $0.0800$ & $0.4180$ & $4.17$ & $3.88$ & $1.28$ & $0.66$ & $0.34$ & $0.78$ & $0.56$ & $-0.25$ & $-0.23$ & $0.43$ & $-0.01$ \\ $1000$ & $0.1300$ & $0.3302$ & $5.14$ & $4.75$ & $1.46$ & $0.33$ & $0.25$ & $1.31$ & $0.33$ & $-0.28$ & $-0.05$ & $1.24$ & $0.00$ \\ $1000$ & $0.1800$ & $0.2940$ & $5.24$ & $4.92$ & $1.68$ & $0.43$ & $0.52$ & $0.69$ & $0.42$ & $-0.22$ & $-0.06$ & $0.49$ & $0.00$ \\ $1000$ & $0.2500$ & $0.2301$ & $6.08$ & $5.56$ & $1.98$ & $0.61$ & $0.78$ & $1.45$ & $0.86$ & $-0.35$ & $-0.22$ & $-1.09$ & $0.00$ \\ $1000$ & $0.4000$ & $0.1182$ & $9.76$ & $7.75$ & $3.92$ & $1.42$ & $2.74$ & $4.46$ & $1.27$ & $-0.28$ & $-0.62$ & $-4.22$ & $0.00$ \\ \hline $1200$ & $0.0130$ & $0.7796$ & $7.54$ & $6.75$ & $2.51$ & $0.05$ & $0.29$ & $2.23$ & $-0.16$ & $-0.35$ & $0.04$ & $0.22$ & $-2.19$ \\ $1200$ & $0.0200$ & $0.6598$ & $4.48$ & $4.32$ & $1.09$ & $0.15$ & $0.09$ & $0.48$ & $0.17$ & $-0.35$ & $0.02$ & $0.13$ & $-0.24$ \\ $1200$ & $0.0320$ & $0.6262$ & $3.91$ & $3.76$ & $0.96$ & $0.48$ & $0.02$ & $0.47$ & $-0.27$ & $-0.38$ & $0.01$ & $0.06$ & $0.00$ \\ $1200$ & $0.0500$ & $0.5134$ & $4.22$ & $3.95$ & $1.28$ & $0.95$ & $0.00$ & $0.74$ & $-0.52$ & $-0.53$ & $0.00$ & $0.00$ & $0.00$ \\ $1200$ & $0.0800$ & $0.4159$ & $4.54$ & $4.33$ & $1.11$ & $0.64$ & $0.03$ & $0.75$ & $0.46$ & $-0.26$ & $-0.05$ & $0.53$ & $0.00$ \\ $1200$ & $0.1300$ & $0.3167$ & $5.68$ & $5.38$ & $1.62$ & $0.99$ & $0.26$ & $0.86$ & $0.53$ & $-0.24$ & $-0.05$ & $0.63$ & $0.00$ \\ $1200$ & $0.1800$ & $0.2902$ & $5.80$ & $5.47$ & $1.54$ & $0.64$ & $0.18$ & $1.14$ & $0.55$ & $-0.32$ & $-0.19$ & $0.93$ & $0.00$ \\ $1200$ & $0.2500$ & $0.2617$ & $6.17$ & $5.62$ & $2.28$ & $1.37$ & $1.01$ & $1.09$ & $0.89$ & $-0.30$ & $-0.31$ & $-0.44$ & $0.00$ \\ $1200$ & $0.4000$ & $0.1060$ & $10.52$ & $8.59$ & $4.01$ & $2.31$ & $2.41$ & $4.55$ & $1.41$ & $-0.53$ & $-0.41$ & $-4.28$ & $0.00$ \\ \hline $1500$ & $0.0200$ & $0.6541$ & $5.65$ & $5.31$ & $1.75$ & $0.19$ & $0.19$ & $0.83$ & $0.24$ & $-0.20$ & $0.04$ & $0.20$ & $-0.74$ \\ $1500$ & $0.0320$ & $0.5841$ & $5.32$ & $5.22$ & $0.95$ & $0.07$ & $0.04$ & $0.35$ & $-0.14$ & $-0.30$ & $0.01$ & $0.11$ & $-0.05$ \\ $1500$ & $0.0500$ & $0.5171$ & $4.72$ & $4.55$ & $1.10$ & $0.61$ & $0.00$ & $0.59$ & $-0.21$ & $-0.55$ & $0.00$ & $0.01$ & $0.00$ \\ $1500$ & $0.0800$ & $0.4591$ & $5.38$ & $5.12$ & $1.49$ & $1.13$ & $0.11$ & $0.72$ & $0.61$ & $-0.19$ & $-0.09$ & $0.32$ & $0.00$ \\ $1500$ & $0.1300$ & $0.2984$ & $6.60$ & $6.35$ & $1.54$ & $0.76$ & $0.12$ & $0.91$ & $0.52$ & $-0.31$ & $-0.09$ & $0.68$ & $0.00$ \\ $1500$ & $0.1800$ & $0.2857$ & $6.66$ & $6.32$ & $1.75$ & $0.97$ & $0.08$ & $1.13$ & $0.60$ & $-0.17$ & $0.05$ & $0.94$ & $0.00$ \\ $1500$ & $0.2500$ & $0.2522$ & $6.93$ & $6.39$ & $2.49$ & $1.57$ & $1.13$ & $1.04$ & $0.89$ & $-0.16$ & $-0.28$ & $-0.42$ & $0.00$ \\ $1500$ & $0.4000$ & $0.1182$ & $10.27$ & $8.89$ & $3.60$ & $2.07$ & $1.88$ & $3.67$ & $1.15$ & $-0.19$ & $-0.52$ & $-3.44$ & $0.00$ \\ $1500$ & $0.6500$ & $0.01535$ & $20.35$ & $16.04$ & $7.26$ & $4.36$ & $4.95$ & $10.19$ & $3.17$ & $-0.56$ & $-1.15$ & $-9.60$ & $0.00$ \\ \hline $2000$ & $0.0219$ & $0.6530$ & $9.14$ & $8.55$ & $2.83$ & $0.58$ & $0.21$ & $1.52$ & $0.08$ & $-0.07$ & $0.05$ & $0.19$ & $-1.50$ \\ $2000$ & $0.0320$ & $0.5371$ & $6.19$ & $5.99$ & $1.46$ & $0.20$ & $0.07$ & $0.59$ & $-0.23$ & $-0.46$ & $0.01$ & $0.10$ & $-0.26$ \\ $2000$ & $0.0500$ & $0.5043$ & $5.78$ & $5.63$ & $1.22$ & $0.64$ & $0.01$ & $0.40$ & $-0.34$ & $-0.21$ & $0.00$ & $0.05$ & $0.00$ \\ $2000$ & $0.0800$ & $0.4257$ & $5.74$ & $5.55$ & $1.25$ & $0.63$ & $0.00$ & $0.71$ & $-0.37$ & $-0.61$ & $0.00$ & $0.00$ & $0.00$ \\ $2000$ & $0.1300$ & $0.3059$ & $7.45$ & $7.22$ & $1.72$ & $0.97$ & $0.05$ & $0.69$ & $0.37$ & $-0.18$ & $-0.09$ & $0.55$ & $0.00$ \\ $2000$ & $0.1800$ & $0.2879$ & $7.67$ & $7.37$ & $1.72$ & $0.68$ & $0.28$ & $1.27$ & $0.45$ & $-0.26$ & $0.05$ & $1.16$ & $0.00$ \\ $2000$ & $0.2500$ & $0.2094$ & $8.29$ & $7.85$ & $2.40$ & $1.55$ & $0.82$ & $1.15$ & $1.05$ & $-0.32$ & $-0.28$ & $0.18$ & $0.00$ \\ $2000$ & $0.4000$ & $0.1157$ & $11.03$ & $9.92$ & $3.69$ & $2.16$ & $1.86$ & $3.12$ & $1.33$ & $-0.20$ & $-0.36$ & $-2.79$ & $0.00$ \\ $2000$ & $0.6500$ & $0.01290$ & $23.59$ & $19.28$ & $8.15$ & $5.05$ & $5.54$ & $10.87$ & $3.09$ & $-0.42$ & $-1.40$ & $-10.32$ & $0.00$ \\ \hline $3000$ & $0.0320$ & $0.5739$ & $6.00$ & $5.61$ & $1.92$ & $0.21$ & $0.12$ & $0.92$ & $-0.22$ & $-0.28$ & $0.02$ & $0.12$ & $-0.85$ \\ $3000$ & $0.0500$ & $0.4657$ & $5.21$ & $5.02$ & $1.34$ & $0.13$ & $0.05$ & $0.35$ & $0.12$ & $-0.31$ & $0.02$ & $0.10$ & $-0.06$ \\ $3000$ & $0.0800$ & $0.4009$ & $5.54$ & $5.36$ & $1.29$ & $0.58$ & $0.01$ & $0.55$ & $-0.25$ & $-0.49$ & $0.00$ & $0.03$ & $-0.02$ \\ $3000$ & $0.1300$ & $0.3251$ & $6.63$ & $6.38$ & $1.64$ & $0.75$ & $0.00$ & $0.77$ & $-0.61$ & $-0.48$ & $0.00$ & $0.00$ & $0.00$ \\ $3000$ & $0.1800$ & $0.2637$ & $7.49$ & $7.11$ & $2.14$ & $1.51$ & $0.09$ & $1.02$ & $0.89$ & $-0.16$ & $-0.03$ & $0.46$ & $0.00$ \\ $3000$ & $0.2500$ & $0.2157$ & $7.43$ & $7.07$ & $2.08$ & $1.33$ & $0.17$ & $0.97$ & $0.76$ & $-0.13$ & $-0.10$ & $0.58$ & $0.00$ \\ $3000$ & $0.4000$ & $0.1236$ & $9.46$ & $8.29$ & $3.88$ & $2.60$ & $1.79$ & $2.39$ & $1.54$ & $-0.07$ & $-0.48$ & $-1.77$ & $0.00$ \\ $3000$ & $0.6500$ & $0.01266$ & $21.18$ & $16.94$ & $8.41$ & $5.43$ & $5.69$ & $9.53$ & $3.46$ & $-0.23$ & $-1.22$ & $-8.79$ & $0.00$ \\ \hline $5000$ & $0.0547$ & $0.4226$ & $8.31$ & $7.86$ & $2.36$ & $0.23$ & $0.08$ & $1.32$ & $0.11$ & $-0.19$ & $0.03$ & $0.09$ & $-1.30$ \\ $5000$ & $0.0800$ & $0.3438$ & $6.58$ & $6.38$ & $1.57$ & $0.04$ & $0.06$ & $0.38$ & $0.03$ & $-0.32$ & $-0.02$ & $0.07$ & $-0.19$ \\ $5000$ & $0.1300$ & $0.3067$ & $7.57$ & $7.32$ & $1.83$ & $0.35$ & $0.00$ & $0.55$ & $0.24$ & $-0.49$ & $0.00$ & $0.01$ & $0.00$ \\ $5000$ & $0.1800$ & $0.2572$ & $8.45$ & $8.19$ & $1.98$ & $0.69$ & $0.00$ & $0.71$ & $-0.49$ & $-0.51$ & $0.00$ & $0.00$ & $0.00$ \\ $5000$ & $0.2500$ & $0.2211$ & $9.24$ & $8.92$ & $2.30$ & $1.06$ & $0.00$ & $0.72$ & $0.71$ & $-0.06$ & $0.00$ & $0.00$ & $0.00$ \\ $5000$ & $0.4000$ & $0.09421$ & $12.41$ & $11.65$ & $3.85$ & $2.29$ & $1.77$ & $1.83$ & $1.42$ & $0.17$ & $-0.59$ & $-0.98$ & $0.00$ \\ $5000$ & $0.6500$ & $0.006800$ & $29.05$ & $27.87$ & $6.12$ & $3.32$ & $3.81$ & $5.48$ & $1.57$ & $0.18$ & $-0.94$ & $-5.17$ & $0.00$ \\ \hline $8000$ & $0.0875$ & $0.2513$ & $16.23$ & $15.58$ & $3.61$ & $0.36$ & $0.12$ & $2.80$ & $-0.07$ & $-0.23$ & $0.09$ & $0.08$ & $-2.79$ \\ $8000$ & $0.1300$ & $0.2539$ & $11.45$ & $11.14$ & $2.57$ & $0.57$ & $0.06$ & $0.62$ & $0.35$ & $-0.47$ & $0.03$ & $0.04$ & $-0.20$ \\ $8000$ & $0.1800$ & $0.2290$ & $11.56$ & $11.31$ & $2.40$ & $0.22$ & $0.01$ & $0.32$ & $0.28$ & $-0.14$ & $0.00$ & $0.02$ & $0.00$ \\ $8000$ & $0.2500$ & $0.2172$ & $11.35$ & $11.01$ & $2.71$ & $1.07$ & $0.00$ & $0.65$ & $-0.42$ & $-0.50$ & $0.00$ & $0.00$ & $0.00$ \\ $8000$ & $0.4000$ & $0.1002$ & $15.96$ & $15.10$ & $4.67$ & $3.42$ & $0.00$ & $2.21$ & $2.18$ & $0.40$ & $0.00$ & $0.00$ & $0.00$ \\ $8000$ & $0.6500$ & $0.01154$ & $26.40$ & $25.07$ & $7.14$ & $4.69$ & $3.58$ & $4.23$ & $2.92$ & $-0.16$ & $-1.15$ & $-2.84$ & $0.00$ \\ \hline $12000$ & $0.1300$ & $0.2029$ & $29.92$ & $28.52$ & $9.03$ & $0.10$ & $0.10$ & $0.78$ & $-0.60$ & $-0.21$ & $0.03$ & $0.09$ & $-0.44$ \\ $12000$ & $0.1800$ & $0.2060$ & $17.86$ & $17.53$ & $3.05$ & $0.76$ & $0.07$ & $1.53$ & $0.18$ & $-0.41$ & $0.02$ & $0.07$ & $-1.46$ \\ $12000$ & $0.2500$ & $0.1398$ & $18.87$ & $18.70$ & $2.49$ & $0.91$ & $0.02$ & $0.57$ & $0.48$ & $-0.30$ & $0.00$ & $0.04$ & $0.00$ \\ $12000$ & $0.4000$ & $0.07077$ & $24.82$ & $24.35$ & $4.53$ & $3.49$ & $0.00$ & $1.56$ & $1.52$ & $0.34$ & $0.00$ & $0.00$ & $0.00$ \\ $12000$ & $0.6500$ & $0.007830$ & $45.47$ & $44.93$ & $6.39$ & $4.77$ & $2.77$ & $2.84$ & $2.39$ & $0.29$ & $-0.64$ & $-1.37$ & $0.00$ \\ \hline $20000$ & $0.2500$ & $0.1059$ & $33.02$ & $32.86$ & $3.23$ & $1.72$ & $0.09$ & $0.70$ & $0.56$ & $-0.35$ & $0.01$ & $0.09$ & $-0.22$ \\ $20000$ & $0.4000$ & $0.07575$ & $32.17$ & $31.82$ & $4.62$ & $3.56$ & $0.03$ & $1.17$ & $1.16$ & $0.12$ & $0.01$ & $0.03$ & $0.00$ \\ $20000$ & $0.6500$ & $0.01318$ & $59.92$ & $57.87$ & $14.88$ & $14.39$ & $0.00$ & $4.56$ & $4.12$ & $1.95$ & $0.00$ & $0.00$ & $0.00$ \\ \hline \end{tabular} \end{center} %\caption{Continued from table~\ref{tab:ncdxdq2_posLH}.} \captcont{continued.} \end{table} % tables 16 %\input{ncDxDq2e+RH} \begin{table}[htbp] \begin{center} \tiny \begin{tabular}{|r|c|r|r|r|r|r|r|r|r|r|r|r|r|} \hline $Q^2$ & $x$ & $\tilde{\sigma}_{\rm NC}$ & $\delta_{\rm tot}$ & $\delta_{\rm stat}$ & $\delta_{\rm unc}$ & $\delta_{\rm unc}^{E}$ & $\delta_{\rm unc}^{h}$& $\delta_{\rm cor}$ & $\delta_{\rm cor}^{E^+}$ & $\delta_{\rm cor}^{\theta^+}$& $\delta_{\rm cor}^{h^+}$& $\delta_{\rm cor}^{N^+}$& $\delta_{\rm cor}^{B^+}$ \\ $(\rm GeV^2)$ & & & $(\%)$ & $(\%)$ & $(\%)$ & $(\%)$ & $(\%)$ & $(\%)$ & $(\%)$ & $(\%)$ & $(\%)$ & $(\%)$ & $(\%)$ \\ \hline $120$ & $0.0020$ & $1.327$ & $1.63$ & $0.87$ & $0.82$ & $0.33$ & $0.08$ & $1.11$ & $-0.22$ & $-0.70$ & $0.02$ & $0.19$ & $-0.81$ \\ $120$ & $0.0032$ & $1.169$ & $1.98$ & $1.27$ & $1.24$ & $0.91$ & $0.04$ & $0.88$ & $-0.60$ & $-0.61$ & $0.01$ & $0.16$ & $-0.12$ \\ \hline $150$ & $0.0032$ & $1.200$ & $1.36$ & $0.74$ & $0.84$ & $0.49$ & $0.06$ & $0.77$ & $-0.38$ & $-0.53$ & $0.01$ & $0.16$ & $-0.38$ \\ $150$ & $0.0050$ & $1.075$ & $1.59$ & $0.88$ & $1.06$ & $0.78$ & $0.00$ & $0.79$ & $-0.43$ & $-0.66$ & $0.00$ & $0.03$ & $-0.03$ \\ $150$ & $0.0080$ & $0.9349$ & $2.67$ & $1.22$ & $2.00$ & $1.68$ & $0.70$ & $1.29$ & $-1.12$ & $-0.56$ & $-0.19$ & $-0.26$ & $-0.04$ \\ $150$ & $0.0130$ & $0.7687$ & $3.92$ & $1.71$ & $2.72$ & $2.32$ & $1.01$ & $2.24$ & $-1.38$ & $-1.43$ & $-0.41$ & $-0.94$ & $-0.01$ \\ \hline $200$ & $0.0032$ & $1.201$ & $1.86$ & $1.40$ & $0.85$ & $0.12$ & $0.08$ & $0.88$ & $-0.11$ & $-0.62$ & $0.02$ & $0.17$ & $-0.60$ \\ $200$ & $0.0050$ & $1.073$ & $1.51$ & $0.97$ & $0.89$ & $0.55$ & $0.04$ & $0.74$ & $-0.39$ & $-0.61$ & $0.01$ & $0.12$ & $-0.07$ \\ $200$ & $0.0080$ & $0.9326$ & $1.87$ & $0.98$ & $1.25$ & $1.01$ & $0.00$ & $1.00$ & $-0.58$ & $-0.82$ & $0.00$ & $0.00$ & $0.00$ \\ $200$ & $0.0130$ & $0.7830$ & $1.54$ & $1.11$ & $0.76$ & $0.03$ & $0.05$ & $0.75$ & $-0.11$ & $-0.36$ & $-0.07$ & $0.64$ & $-0.01$ \\ $200$ & $0.0200$ & $0.6755$ & $1.81$ & $1.22$ & $1.09$ & $0.75$ & $0.04$ & $0.76$ & $-0.46$ & $-0.44$ & $-0.04$ & $0.42$ & $0.00$ \\ $200$ & $0.0320$ & $0.5719$ & $2.14$ & $1.40$ & $1.37$ & $0.91$ & $0.59$ & $0.85$ & $-0.61$ & $-0.56$ & $-0.17$ & $0.14$ & $0.00$ \\ $200$ & $0.0500$ & $0.4925$ & $2.99$ & $1.62$ & $1.81$ & $1.56$ & $0.10$ & $1.75$ & $-0.92$ & $-0.89$ & $-0.11$ & $1.18$ & $0.00$ \\ $200$ & $0.0800$ & $0.4300$ & $3.38$ & $1.77$ & $2.07$ & $1.80$ & $0.24$ & $2.00$ & $-1.30$ & $-0.64$ & $-0.12$ & $1.37$ & $0.00$ \\ $200$ & $0.1300$ & $0.3489$ & $3.50$ & $1.96$ & $2.34$ & $1.75$ & $0.87$ & $1.70$ & $-0.91$ & $-0.89$ & $-0.32$ & $-1.08$ & $0.00$ \\ $200$ & $0.1800$ & $0.2994$ & $4.43$ & $2.68$ & $2.95$ & $1.52$ & $1.94$ & $1.93$ & $-0.80$ & $-1.21$ & $-0.34$ & $-1.23$ & $0.00$ \\ \hline $250$ & $0.0050$ & $1.102$ & $1.53$ & $1.13$ & $0.78$ & $0.29$ & $0.06$ & $0.67$ & $-0.28$ & $-0.47$ & $0.01$ & $0.16$ & $-0.34$ \\ $250$ & $0.0080$ & $0.9413$ & $1.63$ & $1.10$ & $0.97$ & $0.64$ & $0.01$ & $0.72$ & $-0.56$ & $-0.45$ & $0.00$ & $0.03$ & $-0.01$ \\ $250$ & $0.0130$ & $0.7973$ & $2.07$ & $1.22$ & $1.24$ & $0.94$ & $0.25$ & $1.13$ & $0.50$ & $-0.60$ & $0.03$ & $0.81$ & $-0.02$ \\ $250$ & $0.0200$ & $0.6883$ & $2.11$ & $1.25$ & $1.33$ & $1.08$ & $0.12$ & $1.06$ & $0.51$ & $-0.67$ & $-0.05$ & $0.65$ & $-0.01$ \\ $250$ & $0.0320$ & $0.5715$ & $2.05$ & $1.31$ & $1.13$ & $0.81$ & $0.13$ & $1.09$ & $0.35$ & $-0.50$ & $-0.01$ & $0.91$ & $0.00$ \\ $250$ & $0.0500$ & $0.4919$ & $2.42$ & $1.45$ & $1.21$ & $0.88$ & $0.15$ & $1.51$ & $0.36$ & $-0.58$ & $-0.06$ & $1.34$ & $0.00$ \\ $250$ & $0.0800$ & $0.4249$ & $2.91$ & $1.46$ & $1.07$ & $0.58$ & $0.13$ & $2.28$ & $0.39$ & $-0.57$ & $-0.08$ & $2.17$ & $0.00$ \\ $250$ & $0.1300$ & $0.3516$ & $2.52$ & $1.60$ & $1.72$ & $1.12$ & $0.56$ & $0.93$ & $0.48$ & $-0.54$ & $-0.17$ & $-0.55$ & $0.00$ \\ $250$ & $0.1800$ & $0.2913$ & $4.40$ & $2.20$ & $2.99$ & $1.90$ & $1.81$ & $2.36$ & $1.18$ & $-0.86$ & $-0.41$ & $-1.80$ & $0.00$ \\ \hline $300$ & $0.0050$ & $1.117$ & $2.27$ & $1.94$ & $0.95$ & $0.31$ & $0.06$ & $0.69$ & $-0.31$ & $-0.36$ & $0.02$ & $0.14$ & $-0.48$ \\ $300$ & $0.0080$ & $0.9592$ & $1.64$ & $1.29$ & $0.77$ & $0.24$ & $0.02$ & $0.67$ & $-0.24$ & $-0.62$ & $0.00$ & $0.09$ & $-0.05$ \\ $300$ & $0.0130$ & $0.7840$ & $1.85$ & $1.31$ & $0.99$ & $0.64$ & $0.00$ & $0.84$ & $-0.64$ & $-0.54$ & $0.00$ & $0.00$ & $-0.01$ \\ $300$ & $0.0200$ & $0.7024$ & $1.94$ & $1.44$ & $0.98$ & $0.59$ & $0.08$ & $0.85$ & $0.39$ & $-0.47$ & $0.01$ & $0.58$ & $-0.01$ \\ $300$ & $0.0320$ & $0.5671$ & $2.05$ & $1.51$ & $1.09$ & $0.72$ & $0.13$ & $0.86$ & $0.35$ & $-0.49$ & $-0.02$ & $0.62$ & $0.00$ \\ $300$ & $0.0500$ & $0.4836$ & $2.42$ & $1.66$ & $1.25$ & $0.92$ & $0.16$ & $1.23$ & $0.38$ & $-0.48$ & $-0.02$ & $1.07$ & $0.00$ \\ $300$ & $0.0800$ & $0.4296$ & $3.13$ & $1.71$ & $1.44$ & $1.10$ & $0.23$ & $2.20$ & $0.54$ & $-0.75$ & $-0.12$ & $1.99$ & $-0.01$ \\ $300$ & $0.1300$ & $0.3649$ & $2.92$ & $1.75$ & $1.96$ & $1.46$ & $0.54$ & $1.26$ & $0.70$ & $-0.74$ & $-0.19$ & $0.72$ & $0.00$ \\ $300$ & $0.1800$ & $0.3024$ & $4.73$ & $2.26$ & $2.92$ & $2.00$ & $1.57$ & $2.96$ & $1.10$ & $-0.68$ & $-0.26$ & $-2.65$ & $0.00$ \\ $300$ & $0.4000$ & $0.1446$ & $6.55$ & $2.95$ & $3.64$ & $2.32$ & $2.11$ & $4.58$ & $1.31$ & $-1.09$ & $-0.49$ & $-4.22$ & $0.00$ \\ \hline $400$ & $0.0080$ & $0.9652$ & $1.89$ & $1.60$ & $0.81$ & $0.24$ & $0.06$ & $0.58$ & $-0.25$ & $-0.45$ & $0.01$ & $0.14$ & $-0.23$ \\ $400$ & $0.0130$ & $0.8484$ & $1.85$ & $1.49$ & $0.88$ & $0.43$ & $0.01$ & $0.65$ & $-0.42$ & $-0.50$ & $0.00$ & $0.03$ & $-0.01$ \\ $400$ & $0.0200$ & $0.6976$ & $2.23$ & $1.57$ & $1.19$ & $0.88$ & $0.00$ & $1.05$ & $-0.88$ & $-0.57$ & $0.00$ & $0.00$ & $0.00$ \\ $400$ & $0.0320$ & $0.5786$ & $2.19$ & $1.68$ & $0.98$ & $0.50$ & $0.21$ & $1.00$ & $0.49$ & $-0.52$ & $0.04$ & $0.69$ & $-0.01$ \\ $400$ & $0.0500$ & $0.4884$ & $2.40$ & $1.85$ & $1.15$ & $0.70$ & $0.36$ & $1.01$ & $0.68$ & $-0.46$ & $-0.09$ & $0.58$ & $0.00$ \\ $400$ & $0.0800$ & $0.4249$ & $2.87$ & $2.00$ & $0.99$ & $0.23$ & $0.35$ & $1.81$ & $0.20$ & $-0.32$ & $-0.08$ & $1.76$ & $0.00$ \\ $400$ & $0.1300$ & $0.3464$ & $2.61$ & $1.94$ & $1.38$ & $0.53$ & $0.42$ & $1.06$ & $0.49$ & $-0.34$ & $-0.09$ & $0.88$ & $0.00$ \\ $400$ & $0.1800$ & $0.3011$ & $4.54$ & $2.51$ & $2.37$ & $0.99$ & $1.62$ & $2.95$ & $0.93$ & $-0.50$ & $-0.36$ & $-2.73$ & $0.00$ \\ $400$ & $0.4000$ & $0.1405$ & $6.94$ & $3.13$ & $3.34$ & $1.40$ & $2.31$ & $5.22$ & $1.31$ & $-0.80$ & $-0.53$ & $-4.96$ & $0.00$ \\ \hline $500$ & $0.0080$ & $0.9649$ & $2.94$ & $2.69$ & $1.02$ & $0.31$ & $0.10$ & $0.59$ & $-0.15$ & $-0.47$ & $0.01$ & $0.16$ & $-0.30$ \\ $500$ & $0.0130$ & $0.8436$ & $2.08$ & $1.85$ & $0.83$ & $0.19$ & $0.01$ & $0.47$ & $-0.13$ & $-0.45$ & $0.01$ & $0.08$ & $-0.04$ \\ $500$ & $0.0200$ & $0.7286$ & $2.35$ & $1.89$ & $1.09$ & $0.71$ & $0.00$ & $0.86$ & $-0.70$ & $-0.49$ & $0.00$ & $0.00$ & $0.00$ \\ $500$ & $0.0320$ & $0.5997$ & $2.34$ & $1.95$ & $1.00$ & $0.40$ & $0.35$ & $0.84$ & $0.39$ & $-0.35$ & $0.08$ & $0.65$ & $-0.02$ \\ $500$ & $0.0500$ & $0.5235$ & $2.59$ & $2.06$ & $1.21$ & $0.75$ & $0.36$ & $1.01$ & $0.75$ & $-0.49$ & $-0.19$ & $0.41$ & $0.00$ \\ $500$ & $0.0800$ & $0.4414$ & $2.96$ & $2.21$ & $1.04$ & $0.34$ & $0.35$ & $1.67$ & $0.34$ & $-0.37$ & $0.10$ & $1.59$ & $0.00$ \\ $500$ & $0.1300$ & $0.3658$ & $3.33$ & $2.49$ & $1.46$ & $0.74$ & $0.10$ & $1.66$ & $0.74$ & $-0.61$ & $0.08$ & $1.36$ & $0.00$ \\ $500$ & $0.1800$ & $0.3056$ & $3.61$ & $2.91$ & $1.88$ & $0.82$ & $0.92$ & $1.04$ & $0.82$ & $-0.43$ & $-0.20$ & $-0.44$ & $0.00$ \\ $500$ & $0.2500$ & $0.2453$ & $6.36$ & $3.60$ & $2.87$ & $1.24$ & $2.04$ & $4.38$ & $1.24$ & $-0.54$ & $-0.48$ & $-4.14$ & $0.00$ \\ \hline $650$ & $0.0130$ & $0.8253$ & $2.35$ & $2.14$ & $0.86$ & $0.10$ & $0.06$ & $0.44$ & $-0.15$ & $-0.36$ & $0.01$ & $0.14$ & $-0.14$ \\ $650$ & $0.0200$ & $0.7135$ & $2.51$ & $2.21$ & $1.00$ & $0.47$ & $0.01$ & $0.62$ & $-0.30$ & $-0.55$ & $0.00$ & $0.03$ & $-0.02$ \\ $650$ & $0.0320$ & $0.6530$ & $2.88$ & $2.28$ & $1.37$ & $1.00$ & $0.00$ & $1.10$ & $-0.95$ & $-0.56$ & $0.00$ & $0.00$ & $0.00$ \\ $650$ & $0.0500$ & $0.5198$ & $2.77$ & $2.38$ & $1.09$ & $0.54$ & $0.11$ & $0.88$ & $0.61$ & $-0.31$ & $0.05$ & $0.55$ & $0.00$ \\ $650$ & $0.0800$ & $0.4273$ & $3.24$ & $2.68$ & $1.10$ & $0.43$ & $0.06$ & $1.44$ & $0.44$ & $-0.42$ & $0.06$ & $1.30$ & $0.00$ \\ $650$ & $0.1300$ & $0.3794$ & $3.85$ & $3.20$ & $1.51$ & $0.70$ & $0.08$ & $1.54$ & $0.74$ & $-0.34$ & $-0.11$ & $1.29$ & $0.00$ \\ $650$ & $0.1800$ & $0.3399$ & $3.58$ & $3.07$ & $1.63$ & $0.52$ & $0.41$ & $0.87$ & $0.55$ & $-0.38$ & $-0.26$ & $0.49$ & $0.00$ \\ $650$ & $0.2500$ & $0.2335$ & $5.75$ & $3.85$ & $2.74$ & $1.46$ & $1.63$ & $3.27$ & $1.46$ & $-0.59$ & $-0.40$ & $-2.84$ & $0.00$ \\ $650$ & $0.4000$ & $0.1321$ & $8.83$ & $5.35$ & $3.95$ & $1.34$ & $2.84$ & $5.80$ & $1.36$ & $-0.64$ & $-0.64$ & $-5.57$ & $0.00$ \\ \hline \end{tabular} \end{center} \caption[RESULT] {\label{tab:ncdxdq2_posRH} The NC $e^+p$ reduced cross section $\tilde{\sigma}_{\rm NC}(x,Q^2)$ with lepton beam polarisation $P_e=+32.5$\% with statistical $(\delta_{\rm stat})$, total $(\delta_{tot})$, total uncorrelated systematic $(\delta_{\rm unc})$ errors, two of its contributions from the electron energy error ($\delta_{unc}^{E}$) and the hadronic energy error ($\delta_{\rm unc}^{h}$). The effect of the other uncorrelated systematic errors is included in $\delta_{\rm unc}$. In addition the correlated systematic $(\delta_{\rm cor})$ and its contributions from a positive variation of one standard deviation of the electron energy error ($\delta_{cor}^{E^+}$), of the polar electron angle error ($\delta_{\rm cor}^{\theta^+}$), of the hadronic energy error ($\delta_{\rm cor}^{h^+}$), of the error due to noise subtraction ($\delta_{\rm cor}^{N^+}$) and of the error due to background subtraction ($\delta_{\rm cor}^{B^+}$) are given. The normalisation and polarisation uncertainties are not included in the errors. The table continues on the next page.} \end{table} \begin{table}[htbp] \begin{center} \tiny \begin{tabular}{|r|c|r|r|r|r|r|r|r|r|r|r|r|r|} \hline $Q^2$ & $x$ & $\tilde{\sigma}_{\rm NC}$ & $\delta_{\rm tot}$ & $\delta_{\rm stat}$ & $\delta_{\rm unc}$ & $\delta_{\rm unc}^{E}$ & $\delta_{\rm unc}^{h}$& $\delta_{\rm cor}$ & $\delta_{\rm cor}^{E^+}$ & $\delta_{\rm cor}^{\theta^+}$& $\delta_{\rm cor}^{h^+}$& $\delta_{\rm cor}^{N^+}$& $\delta_{\rm cor}^{B^+}$ \\ $(\rm GeV^2)$ & & & $(\%)$ & $(\%)$ & $(\%)$ & $(\%)$ & $(\%)$ & $(\%)$ & $(\%)$ & $(\%)$ & $(\%)$ & $(\%)$ & $(\%)$ \\ \hline $800$ & $0.0130$ & $0.8259$ & $3.73$ & $3.47$ & $1.24$ & $0.16$ & $0.09$ & $0.60$ & $-0.32$ & $-0.41$ & $0.03$ & $0.16$ & $-0.26$ \\ $800$ & $0.0200$ & $0.6916$ & $2.75$ & $2.52$ & $1.00$ & $0.38$ & $0.01$ & $0.45$ & $-0.28$ & $-0.34$ & $0.01$ & $0.09$ & $-0.04$ \\ $800$ & $0.0320$ & $0.6241$ & $2.99$ & $2.60$ & $1.26$ & $0.77$ & $0.00$ & $0.78$ & $-0.52$ & $-0.59$ & $0.00$ & $0.00$ & $0.00$ \\ $800$ & $0.0500$ & $0.5204$ & $3.22$ & $2.90$ & $1.11$ & $0.20$ & $0.34$ & $0.84$ & $0.30$ & $-0.28$ & $0.16$ & $0.71$ & $0.00$ \\ $800$ & $0.0800$ & $0.4397$ & $3.47$ & $3.06$ & $1.24$ & $0.43$ & $0.30$ & $1.09$ & $0.73$ & $-0.34$ & $-0.09$ & $0.73$ & $0.00$ \\ $800$ & $0.1300$ & $0.3576$ & $4.12$ & $3.54$ & $1.54$ & $0.53$ & $0.05$ & $1.43$ & $0.68$ & $-0.45$ & $-0.18$ & $1.17$ & $0.00$ \\ $800$ & $0.1800$ & $0.3237$ & $4.19$ & $3.68$ & $1.73$ & $0.56$ & $0.36$ & $1.04$ & $0.75$ & $-0.50$ & $-0.12$ & $0.51$ & $0.00$ \\ $800$ & $0.2500$ & $0.2512$ & $5.24$ & $4.23$ & $2.39$ & $0.80$ & $1.38$ & $1.96$ & $0.92$ & $-0.36$ & $-0.45$ & $-1.63$ & $0.00$ \\ $800$ & $0.4000$ & $0.1186$ & $9.66$ & $6.45$ & $3.98$ & $1.76$ & $2.44$ & $5.99$ & $1.72$ & $-0.50$ & $-0.58$ & $-5.68$ & $0.00$ \\ \hline $1000$ & $0.0130$ & $0.7638$ & $4.22$ & $3.64$ & $1.68$ & $0.20$ & $0.22$ & $1.33$ & $-0.09$ & $-0.25$ & $0.04$ & $0.21$ & $-1.29$ \\ $1000$ & $0.0200$ & $0.7122$ & $3.17$ & $2.97$ & $0.99$ & $0.29$ & $0.06$ & $0.52$ & $-0.22$ & $-0.43$ & $0.01$ & $0.15$ & $-0.14$ \\ $1000$ & $0.0320$ & $0.6310$ & $3.14$ & $2.86$ & $1.16$ & $0.70$ & $0.00$ & $0.56$ & $-0.47$ & $-0.32$ & $0.00$ & $0.02$ & $0.00$ \\ $1000$ & $0.0500$ & $0.5286$ & $3.51$ & $3.09$ & $1.51$ & $1.13$ & $0.00$ & $0.70$ & $-0.44$ & $-0.54$ & $0.00$ & $0.00$ & $0.00$ \\ $1000$ & $0.0800$ & $0.4441$ & $3.64$ & $3.40$ & $1.15$ & $0.38$ & $0.25$ & $0.55$ & $0.24$ & $-0.20$ & $-0.06$ & $0.44$ & $0.00$ \\ $1000$ & $0.1300$ & $0.3397$ & $4.88$ & $4.49$ & $1.44$ & $0.28$ & $0.20$ & $1.26$ & $0.28$ & $0.09$ & $0.14$ & $1.22$ & $0.00$ \\ $1000$ & $0.1800$ & $0.2968$ & $4.73$ & $4.35$ & $1.59$ & $0.25$ & $0.29$ & $0.98$ & $0.50$ & $-0.42$ & $-0.30$ & $0.67$ & $0.00$ \\ $1000$ & $0.2500$ & $0.2495$ & $5.49$ & $4.74$ & $2.35$ & $1.00$ & $1.26$ & $1.48$ & $1.06$ & $-0.48$ & $-0.21$ & $-0.89$ & $0.00$ \\ $1000$ & $0.4000$ & $0.1348$ & $10.49$ & $8.52$ & $3.77$ & $1.36$ & $2.54$ & $4.81$ & $1.50$ & $-0.50$ & $-0.65$ & $-4.49$ & $0.00$ \\ \hline $1200$ & $0.0130$ & $0.8534$ & $6.63$ & $5.78$ & $2.56$ & $0.20$ & $0.30$ & $1.98$ & $-0.13$ & $-0.12$ & $0.07$ & $0.24$ & $-1.96$ \\ $1200$ & $0.0200$ & $0.7304$ & $3.83$ & $3.64$ & $1.12$ & $0.23$ & $0.07$ & $0.42$ & $-0.21$ & $-0.25$ & $0.02$ & $0.12$ & $-0.23$ \\ $1200$ & $0.0320$ & $0.5777$ & $3.65$ & $3.51$ & $0.93$ & $0.40$ & $0.02$ & $0.45$ & $-0.23$ & $-0.39$ & $0.00$ & $0.07$ & $-0.01$ \\ $1200$ & $0.0500$ & $0.5028$ & $3.84$ & $3.52$ & $1.33$ & $1.00$ & $0.00$ & $0.74$ & $-0.61$ & $-0.42$ & $0.00$ & $0.00$ & $-0.01$ \\ $1200$ & $0.0800$ & $0.4340$ & $4.08$ & $3.76$ & $1.35$ & $0.91$ & $0.20$ & $0.82$ & $0.62$ & $-0.33$ & $-0.12$ & $0.40$ & $0.00$ \\ $1200$ & $0.1300$ & $0.3561$ & $4.93$ & $4.55$ & $1.63$ & $1.03$ & $0.05$ & $0.95$ & $0.63$ & $-0.33$ & $-0.04$ & $0.64$ & $0.00$ \\ $1200$ & $0.1800$ & $0.3359$ & $5.64$ & $5.25$ & $1.60$ & $0.76$ & $0.23$ & $1.28$ & $0.51$ & $-0.28$ & $-0.11$ & $1.13$ & $-0.02$ \\ $1200$ & $0.2500$ & $0.2341$ & $6.45$ & $5.97$ & $2.26$ & $1.39$ & $0.93$ & $0.94$ & $0.77$ & $-0.26$ & $-0.25$ & $-0.38$ & $0.00$ \\ $1200$ & $0.4000$ & $0.1074$ & $10.58$ & $7.57$ & $4.67$ & $2.83$ & $2.99$ & $5.72$ & $1.85$ & $-0.52$ & $-0.69$ & $-5.34$ & $0.00$ \\ \hline $1500$ & $0.0200$ & $0.6877$ & $5.07$ & $4.63$ & $1.84$ & $0.25$ & $0.22$ & $0.95$ & $0.22$ & $-0.32$ & $0.06$ & $0.20$ & $-0.83$ \\ $1500$ & $0.0320$ & $0.5893$ & $4.45$ & $4.29$ & $1.05$ & $0.46$ & $0.05$ & $0.54$ & $-0.34$ & $-0.40$ & $0.02$ & $0.12$ & $-0.02$ \\ $1500$ & $0.0500$ & $0.5262$ & $4.18$ & $4.00$ & $1.11$ & $0.63$ & $0.00$ & $0.49$ & $-0.35$ & $-0.33$ & $0.00$ & $0.02$ & $0.00$ \\ $1500$ & $0.0800$ & $0.4314$ & $4.55$ & $4.31$ & $1.26$ & $0.80$ & $0.14$ & $0.75$ & $0.58$ & $-0.20$ & $-0.11$ & $0.42$ & $0.00$ \\ $1500$ & $0.1300$ & $0.3534$ & $5.50$ & $5.16$ & $1.71$ & $0.94$ & $0.15$ & $0.82$ & $0.50$ & $-0.20$ & $0.11$ & $0.61$ & $0.00$ \\ $1500$ & $0.1800$ & $0.3074$ & $5.71$ & $5.38$ & $1.60$ & $0.67$ & $0.13$ & $1.04$ & $0.48$ & $-0.21$ & $0.09$ & $0.89$ & $0.00$ \\ $1500$ & $0.2500$ & $0.2088$ & $6.79$ & $6.22$ & $2.47$ & $1.56$ & $1.09$ & $1.11$ & $0.98$ & $-0.22$ & $-0.44$ & $-0.21$ & $0.00$ \\ $1500$ & $0.4000$ & $0.1242$ & $9.25$ & $7.55$ & $3.84$ & $2.20$ & $2.17$ & $3.71$ & $1.26$ & $-0.28$ & $-0.50$ & $-3.45$ & $0.00$ \\ $1500$ & $0.6500$ & $0.01439$ & $19.87$ & $14.78$ & $7.35$ & $4.62$ & $4.82$ & $11.06$ & $2.53$ & $-0.14$ & $-0.88$ & $-10.73$ & $0.00$ \\ \hline $2000$ & $0.0219$ & $0.7131$ & $8.25$ & $7.48$ & $3.03$ & $0.74$ & $0.22$ & $1.71$ & $0.36$ & $-0.20$ & $0.06$ & $0.22$ & $-1.64$ \\ $2000$ & $0.0320$ & $0.5443$ & $5.46$ & $5.24$ & $1.47$ & $0.26$ & $0.10$ & $0.44$ & $-0.14$ & $-0.37$ & $0.03$ & $0.12$ & $-0.16$ \\ $2000$ & $0.0500$ & $0.5434$ & $4.99$ & $4.83$ & $1.21$ & $0.25$ & $0.01$ & $0.36$ & $-0.18$ & $-0.31$ & $0.01$ & $0.03$ & $0.00$ \\ $2000$ & $0.0800$ & $0.4166$ & $5.32$ & $5.03$ & $1.54$ & $1.09$ & $0.00$ & $0.79$ & $-0.53$ & $-0.58$ & $0.00$ & $0.00$ & $0.00$ \\ $2000$ & $0.1300$ & $0.3708$ & $6.98$ & $6.71$ & $1.77$ & $1.02$ & $0.13$ & $0.78$ & $0.55$ & $-0.26$ & $-0.08$ & $0.48$ & $0.00$ \\ $2000$ & $0.1800$ & $0.3058$ & $6.68$ & $6.34$ & $1.68$ & $0.51$ & $0.36$ & $1.28$ & $0.41$ & $-0.28$ & $0.33$ & $1.12$ & $0.00$ \\ $2000$ & $0.2500$ & $0.2529$ & $7.05$ & $6.45$ & $2.60$ & $1.75$ & $0.98$ & $1.15$ & $1.09$ & $-0.27$ & $-0.19$ & $-0.16$ & $0.00$ \\ $2000$ & $0.4000$ & $0.1326$ & $9.81$ & $8.15$ & $4.34$ & $2.87$ & $2.26$ & $3.33$ & $1.81$ & $-0.31$ & $-0.80$ & $-2.66$ & $0.00$ \\ $2000$ & $0.6500$ & $0.01436$ & $21.57$ & $17.19$ & $7.30$ & $4.45$ & $4.75$ & $10.80$ & $2.64$ & $0.23$ & $-0.78$ & $-10.44$ & $0.00$ \\ \hline $3000$ & $0.0320$ & $0.5957$ & $5.43$ & $5.01$ & $1.86$ & $0.25$ & $0.14$ & $0.96$ & $0.15$ & $-0.26$ & $0.04$ & $0.13$ & $-0.90$ \\ $3000$ & $0.0500$ & $0.5259$ & $4.47$ & $4.22$ & $1.42$ & $0.46$ & $0.08$ & $0.41$ & $-0.21$ & $-0.34$ & $0.01$ & $0.08$ & $-0.06$ \\ $3000$ & $0.0800$ & $0.4568$ & $4.65$ & $4.45$ & $1.25$ & $0.49$ & $0.01$ & $0.57$ & $-0.38$ & $-0.42$ & $0.00$ & $0.02$ & $0.00$ \\ $3000$ & $0.1300$ & $0.3442$ & $5.80$ & $5.53$ & $1.62$ & $0.72$ & $0.00$ & $0.57$ & $-0.43$ & $-0.37$ & $0.00$ & $0.00$ & $0.00$ \\ $3000$ & $0.1800$ & $0.3252$ & $7.51$ & $7.17$ & $2.03$ & $1.34$ & $0.11$ & $0.92$ & $0.69$ & $-0.14$ & $0.05$ & $0.58$ & $0.00$ \\ $3000$ & $0.2500$ & $0.2280$ & $6.61$ & $6.20$ & $2.07$ & $1.31$ & $0.22$ & $0.96$ & $0.76$ & $-0.08$ & $-0.10$ & $0.58$ & $0.00$ \\ $3000$ & $0.4000$ & $0.1160$ & $9.03$ & $7.64$ & $4.01$ & $2.65$ & $2.00$ & $2.65$ & $1.49$ & $-0.13$ & $-0.52$ & $-2.13$ & $0.00$ \\ $3000$ & $0.6500$ & $0.01250$ & $19.52$ & $15.66$ & $7.85$ & $5.15$ & $5.08$ & $8.63$ & $3.17$ & $-0.28$ & $-1.52$ & $-7.87$ & $0.00$ \\ \hline $5000$ & $0.0547$ & $0.4956$ & $7.11$ & $6.66$ & $2.23$ & $0.73$ & $0.13$ & $1.11$ & $0.19$ & $-0.43$ & $0.07$ & $0.11$ & $-0.99$ \\ $5000$ & $0.0800$ & $0.4546$ & $5.24$ & $4.98$ & $1.59$ & $0.28$ & $0.05$ & $0.40$ & $-0.19$ & $-0.33$ & $0.02$ & $0.07$ & $-0.12$ \\ $5000$ & $0.1300$ & $0.3598$ & $6.29$ & $5.99$ & $1.85$ & $0.49$ & $0.00$ & $0.53$ & $0.30$ & $-0.44$ & $0.00$ & $0.02$ & $0.00$ \\ $5000$ & $0.1800$ & $0.3183$ & $6.91$ & $6.59$ & $1.99$ & $0.71$ & $0.00$ & $0.49$ & $-0.35$ & $-0.34$ & $0.00$ & $0.00$ & $0.00$ \\ $5000$ & $0.2500$ & $0.2062$ & $8.71$ & $8.44$ & $2.11$ & $0.46$ & $0.00$ & $0.44$ & $0.42$ & $-0.12$ & $0.00$ & $0.00$ & $0.00$ \\ $5000$ & $0.4000$ & $0.1106$ & $10.37$ & $9.78$ & $3.26$ & $1.61$ & $1.17$ & $1.18$ & $1.03$ & $0.04$ & $-0.31$ & $-0.48$ & $0.00$ \\ $5000$ & $0.6500$ & $0.01196$ & $21.05$ & $18.62$ & $7.25$ & $4.45$ & $4.58$ & $6.62$ & $2.40$ & $-0.25$ & $-1.37$ & $-6.01$ & $0.00$ \\ \hline $8000$ & $0.0875$ & $0.4227$ & $11.07$ & $10.53$ & $3.08$ & $0.73$ & $0.09$ & $1.49$ & $0.25$ & $-0.25$ & $0.03$ & $0.09$ & $-1.45$ \\ $8000$ & $0.1300$ & $0.3113$ & $9.37$ & $9.01$ & $2.53$ & $0.30$ & $0.06$ & $0.39$ & $-0.16$ & $-0.24$ & $0.01$ & $0.09$ & $-0.25$ \\ $8000$ & $0.1800$ & $0.2841$ & $9.36$ & $9.01$ & $2.42$ & $0.34$ & $0.00$ & $0.68$ & $0.22$ & $-0.64$ & $0.00$ & $0.01$ & $0.00$ \\ $8000$ & $0.2500$ & $0.2178$ & $13.40$ & $13.15$ & $2.50$ & $0.22$ & $0.00$ & $0.52$ & $0.45$ & $-0.26$ & $0.00$ & $0.00$ & $0.00$ \\ $8000$ & $0.4000$ & $0.09797$ & $14.43$ & $13.63$ & $4.43$ & $3.07$ & $0.00$ & $1.67$ & $1.61$ & $0.43$ & $0.00$ & $0.00$ & $0.00$ \\ $8000$ & $0.6500$ & $0.01497$ & $21.32$ & $19.28$ & $7.87$ & $5.03$ & $4.54$ & $4.58$ & $2.51$ & $0.39$ & $-1.13$ & $-3.64$ & $0.00$ \\ \hline $12000$ & $0.1300$ & $0.2111$ & $28.35$ & $27.73$ & $5.32$ & $1.04$ & $0.10$ & $2.49$ & $-1.16$ & $-0.65$ & $-0.02$ & $0.09$ & $-2.10$ \\ $12000$ & $0.1800$ & $0.2186$ & $15.26$ & $15.03$ & $2.52$ & $0.67$ & $0.07$ & $0.70$ & $0.41$ & $-0.49$ & $0.02$ & $0.08$ & $-0.28$ \\ $12000$ & $0.2500$ & $0.1659$ & $15.54$ & $15.33$ & $2.47$ & $0.86$ & $0.03$ & $0.49$ & $0.36$ & $-0.34$ & $0.00$ & $0.03$ & $0.00$ \\ $12000$ & $0.4000$ & $0.1208$ & $17.61$ & $16.94$ & $4.56$ & $3.55$ & $0.00$ & $1.56$ & $1.51$ & $0.40$ & $0.00$ & $0.00$ & $0.00$ \\ $12000$ & $0.6500$ & $0.02165$ & $25.59$ & $24.29$ & $7.16$ & $5.55$ & $3.22$ & $3.62$ & $3.05$ & $0.24$ & $-0.82$ & $-1.75$ & $0.00$ \\ \hline $20000$ & $0.2500$ & $0.1446$ & $25.36$ & $25.06$ & $3.73$ & $2.53$ & $0.10$ & $1.10$ & $0.98$ & $0.36$ & $0.06$ & $0.11$ & $-0.30$ \\ $20000$ & $0.4000$ & $0.1094$ & $24.06$ & $23.67$ & $4.25$ & $3.08$ & $0.02$ & $0.79$ & $0.77$ & $-0.19$ & $0.01$ & $0.03$ & $0.00$ \\ $20000$ & $0.6500$ & $0.006690$ & $72.84$ & $71.00$ & $15.42$ & $14.93$ & $0.00$ & $5.22$ & $4.59$ & $2.49$ & $0.00$ & $0.00$ & $0.00$ \\ \hline $30000$ & $0.4000$ & $0.08055$ & $51.57$ & $51.28$ & $5.30$ & $3.09$ & $0.08$ & $1.15$ & $0.99$ & $-0.54$ & $0.02$ & $0.06$ & $-0.23$ \\ $30000$ & $0.6500$ & $0.01363$ & $71.77$ & $70.94$ & $10.44$ & $9.27$ & $0.00$ & $3.06$ & $2.79$ & $1.26$ & $0.00$ & $0.00$ & $0.00$ \\ \hline \end{tabular} \end{center} %\caption{Continued from table~\ref{tab:ncdxdq2_posRH}.} \captcont{continued.} \end{table} \clearpage % tables 17-20 %\input{ccDxDq2e-LH} \begin{table}[htbp] \begin{center} \tiny \renewcommand{\arraystretch}{1.22} \begin{tabular}{|r|c|c|l|r|r|r|r|r|r|r|r|r|} \hline $Q^2$ &$x$ & $y$ & ${\rm d}^2\sigma_{\rm CC}/{\rm d}x{\rm d}Q^2$ & $\delta_{\rm tot}$ & $\delta_{\rm stat}$ & $\delta_{\rm unc}$ & $\delta_{\rm unc}^{h}$& $\delta_{\rm cor}$ & $\delta_{\rm cor}^{V^+}$ & $\delta_{\rm cor}^{h^+}$& $\delta_{\rm cor}^{N^+}$& $\delta_{\rm cor}^{B^+}$ \\ $(\rm GeV^2)$ & & & $(\rm pb/GeV^2)$ & $(\%)$ & $(\%)$ & $(\%)$ & $(\%)$ & $(\%)$ & $(\%)$ & $(\%)$ & $(\%)$ & $(\%)$ \\ \hline $300$ & $0.008$ & $0.369$ & $2.01$ & $49.9$ & $40.7$ & $23.4$ & $1.6$ & $17.0$ & $15.5$ & $0.3$ & $-1.0$ & $-5.8$ \\ $300$ & $0.013$ & $0.227$ & $0.923$ & $20.6$ & $14.4$ & $10.8$ & $2.7$ & $9.8$ & $9.4$ & $-0.9$ & $-0.3$ & $-1.2$ \\ $300$ & $0.032$ & $0.092$ & $0.305$ & $15.9$ & $14.0$ & $5.3$ & $2.0$ & $5.5$ & $4.7$ & $-0.4$ & $0.4$ & $-2.4$ \\ $300$ & $0.080$ & $0.037$ & $0.776 \cdot 10^{-1}$ & $15.4$ & $13.5$ & $5.1$ & $2.8$ & $5.3$ & $1.4$ & $-0.4$ & $-4.3$ & $-1.9$ \\ \hline $500$ & $0.013$ & $0.379$ & $0.790$ & $14.9$ & $9.8$ & $7.1$ & $2.3$ & $8.7$ & $8.5$ & $-0.4$ & $-0.6$ & $-0.5$ \\ $500$ & $0.032$ & $0.154$ & $0.250$ & $9.3$ & $8.1$ & $3.2$ & $1.5$ & $3.2$ & $2.9$ & $-0.7$ & $0.1$ & $-0.2$ \\ $500$ & $0.080$ & $0.062$ & $0.621 \cdot 10^{-1}$ & $10.4$ & $9.3$ & $4.2$ & $2.4$ & $1.7$ & $0.8$ & $-0.6$ & $-0.2$ & $-0.1$ \\ $500$ & $0.130$ & $0.038$ & $0.345 \cdot 10^{-1}$ & $25.4$ & $21.4$ & $5.3$ & $0.8$ & $12.7$ & $0.1$ & $0.6$ & $-12.3$ & $0.0$ \\ \hline $1000$ & $0.013$ & $0.757$ & $0.476$ & $14.1$ & $10.2$ & $5.7$ & $1.7$ & $7.9$ & $7.7$ & $-0.8$ & $0.1$ & $-0.5$ \\ $1000$ & $0.032$ & $0.308$ & $0.230$ & $7.2$ & $6.2$ & $2.8$ & $1.8$ & $2.2$ & $1.9$ & $-0.4$ & $0.3$ & $-0.1$ \\ $1000$ & $0.080$ & $0.123$ & $0.710 \cdot 10^{-1}$ & $7.2$ & $6.4$ & $2.9$ & $1.1$ & $1.4$ & $0.4$ & $-0.4$ & $0.9$ & $-0.1$ \\ $1000$ & $0.130$ & $0.076$ & $0.336 \cdot 10^{-1}$ & $12.3$ & $10.9$ & $3.8$ & $1.5$ & $4.1$ & $0.0$ & $-0.1$ & $-3.7$ & $0.0$ \\ \hline $2000$ & $0.032$ & $0.615$ & $0.148$ & $6.8$ & $5.8$ & $2.6$ & $1.0$ & $2.2$ & $1.9$ & $-0.4$ & $-0.4$ & $0.0$ \\ $2000$ & $0.080$ & $0.246$ & $0.573 \cdot 10^{-1}$ & $5.8$ & $5.2$ & $2.1$ & $0.5$ & $1.1$ & $0.1$ & $-0.1$ & $0.7$ & $0.0$ \\ $2000$ & $0.130$ & $0.152$ & $0.290 \cdot 10^{-1}$ & $8.1$ & $7.4$ & $3.1$ & $0.9$ & $1.2$ & $-0.0$ & $-0.4$ & $-0.3$ & $0.0$ \\ $2000$ & $0.250$ & $0.079$ & $0.105 \cdot 10^{-1}$ & $17.8$ & $14.6$ & $4.0$ & $0.6$ & $9.3$ & $0.0$ & $0.4$ & $-9.1$ & $0.0$ \\ \hline $3000$ & $0.080$ & $0.369$ & $0.397 \cdot 10^{-1}$ & $5.7$ & $5.2$ & $2.0$ & $0.2$ & $1.2$ & $-0.1$ & $0.2$ & $0.9$ & $0.0$ \\ $3000$ & $0.130$ & $0.227$ & $0.234 \cdot 10^{-1}$ & $6.6$ & $6.1$ & $2.1$ & $0.3$ & $1.3$ & $-0.0$ & $-0.1$ & $0.8$ & $0.0$ \\ $3000$ & $0.250$ & $0.118$ & $0.858 \cdot 10^{-2}$ & $9.9$ & $9.2$ & $2.9$ & $0.5$ & $2.5$ & $0.0$ & $0.2$ & $-2.1$ & $-0.2$ \\ \hline $5000$ & $0.080$ & $0.615$ & $0.261 \cdot 10^{-1}$ & $7.2$ & $6.6$ & $2.4$ & $0.9$ & $1.5$ & $0.1$ & $0.3$ & $1.1$ & $0.0$ \\ $5000$ & $0.130$ & $0.379$ & $0.156 \cdot 10^{-1}$ & $6.4$ & $5.8$ & $2.1$ & $0.2$ & $1.2$ & $-0.0$ & $0.1$ & $0.7$ & $0.0$ \\ $5000$ & $0.250$ & $0.197$ & $0.603 \cdot 10^{-2}$ & $7.7$ & $7.1$ & $2.5$ & $1.5$ & $1.2$ & $-0.0$ & $0.4$ & $0.4$ & $-0.1$ \\ $5000$ & $0.400$ & $0.123$ & $0.183 \cdot 10^{-2}$ & $21.5$ & $19.2$ & $5.2$ & $4.5$ & $8.0$ & $0.0$ & $0.9$ & $-7.4$ & $0.0$ \\ \hline $8000$ & $0.130$ & $0.606$ & $0.105 \cdot 10^{-1}$ & $8.4$ & $7.1$ & $3.6$ & $2.7$ & $2.3$ & $-0.1$ & $1.0$ & $1.8$ & $0.0$ \\ $8000$ & $0.250$ & $0.315$ & $0.320 \cdot 10^{-2}$ & $8.1$ & $7.3$ & $3.0$ & $2.1$ & $1.7$ & $-0.0$ & $0.6$ & $1.2$ & $0.0$ \\ $8000$ & $0.400$ & $0.197$ & $0.131 \cdot 10^{-2}$ & $14.8$ & $13.4$ & $5.5$ & $5.1$ & $2.7$ & $0.0$ & $1.4$ & $-0.8$ & $0.0$ \\ \hline $15000$ & $0.250$ & $0.591$ & $0.192 \cdot 10^{-2}$ & $10.4$ & $8.4$ & $5.4$ & $4.7$ & $2.8$ & $0.0$ & $1.2$ & $2.1$ & $0.0$ \\ $15000$ & $0.400$ & $0.369$ & $0.481 \cdot 10^{-3}$ & $13.1$ & $11.1$ & $6.2$ & $5.7$ & $2.9$ & $0.0$ & $1.9$ & $1.5$ & $0.0$ \\ \hline $30000$ & $0.400$ & $0.738$ & $0.200 \cdot 10^{-3}$ & $20.9$ & $17.2$ & $10.2$ & $9.7$ & $5.8$ & $0.0$ & $3.2$ & $3.9$ & $0.0$ \\ \hline \end{tabular} \end{center} \caption[RESULT] {\label{tab:ccdxdq2_eleLH} The CC $e^-p$ cross section ${\rm d}^2\sigma_{\rm CC}/{\rm d}x{\rm d}Q^2$ for lepton beam polarisation $P_e=-25.8$\% with statistical $(\delta_{\rm stat})$, total $(\delta_{\rm tot})$, total uncorrelated systematic $(\delta_{\rm unc})$ errors and one of its contributions from the hadronic energy error ($\delta_{\rm unc}^{h}$). The effect of the other uncorrelated systematic errors is included in $\delta_{\rm unc}$. In addition the correlated systematic $(\delta_{\rm cor})$ and its contributions from a positive variation of one standard deviation of the cuts against photoproduction ($\delta_{\rm cor}^{V^+}$), of the hadronic energy error ($\delta_{\rm cor}^{h^+}$), of the error due to noise subtraction ($\delta_{\rm cor}^{N^+}$) and of the error due to background subtraction ($\delta_{\rm cor}^{B^+}$) are given. The normalisation and polarisation uncertainties are not included in the errors. } \end{table} %\input{ccDxDq2e-RH} \begin{table}[htbp] \begin{center} \tiny \renewcommand{\arraystretch}{1.22} \begin{tabular}{|r|c|c|l|r|r|r|r|r|r|r|r|r|} \hline $Q^2$ &$x$ & $y$ & ${\rm d}^2\sigma_{\rm CC}/{\rm d}x{\rm d}Q^2$ & $\delta_{\rm tot}$ & $\delta_{\rm stat}$ & $\delta_{\rm unc}$ & $\delta_{\rm unc}^{h}$& $\delta_{\rm cor}$ & $\delta_{\rm cor}^{V^+}$ & $\delta_{\rm cor}^{h^+}$& $\delta_{\rm cor}^{N^+}$& $\delta_{\rm cor}^{B^+}$ \\ $(\rm GeV^2)$ & & & $(\rm pb/GeV^2)$ & $(\%)$ & $(\%)$ & $(\%)$ & $(\%)$ & $(\%)$ & $(\%)$ & $(\%)$ & $(\%)$ & $(\%)$ \\ \hline $300$ & $0.008$ & $0.369$ & $1.16$ & $56.6$ & $47.2$ & $26.2$ & $1.7$ & $17.2$ & $15.3$ & $-0.8$ & $-0.9$ & $-0.9$ \\ $300$ & $0.013$ & $0.227$ & $0.423$ & $38.3$ & $35.0$ & $11.5$ & $1.9$ & $10.6$ & $9.7$ & $-0.4$ & $0.4$ & $-2.5$ \\ $300$ & $0.032$ & $0.092$ & $0.127$ & $26.0$ & $24.9$ & $5.0$ & $1.4$ & $5.5$ & $4.8$ & $-0.4$ & $0.8$ & $-1.5$ \\ $300$ & $0.080$ & $0.037$ & $0.468 \cdot 10^{-1}$ & $26.1$ & $25.2$ & $4.9$ & $2.0$ & $4.6$ & $1.5$ & $-0.5$ & $-3.0$ & $-2.3$ \\ \hline $500$ & $0.013$ & $0.379$ & $0.407$ & $23.4$ & $20.5$ & $7.1$ & $2.6$ & $8.6$ & $8.3$ & $-0.8$ & $-0.9$ & $-1.1$ \\ $500$ & $0.032$ & $0.154$ & $0.141$ & $17.1$ & $16.3$ & $3.7$ & $2.3$ & $3.6$ & $3.3$ & $-0.5$ & $-0.3$ & $-0.6$ \\ $500$ & $0.080$ & $0.062$ & $0.364 \cdot 10^{-1}$ & $19.0$ & $18.4$ & $4.0$ & $1.9$ & $1.9$ & $0.7$ & $-0.4$ & $-0.1$ & $-1.0$ \\ $500$ & $0.130$ & $0.038$ & $0.132 \cdot 10^{-1}$ & $52.4$ & $50.5$ & $6.0$ & $2.1$ & $12.7$ & $0.3$ & $-0.7$ & $-12.3$ & $0.0$ \\ \hline $1000$ & $0.013$ & $0.757$ & $0.283$ & $22.4$ & $19.9$ & $6.2$ & $2.1$ & $8.2$ & $8.1$ & $-0.7$ & $-0.3$ & $0.0$ \\ $1000$ & $0.032$ & $0.308$ & $0.115$ & $13.3$ & $12.8$ & $2.5$ & $1.4$ & $2.2$ & $1.8$ & $-0.3$ & $0.6$ & $-0.2$ \\ $1000$ & $0.080$ & $0.123$ & $0.441 \cdot 10^{-1}$ & $12.5$ & $12.0$ & $2.8$ & $0.4$ & $1.6$ & $0.3$ & $-0.2$ & $1.1$ & $-0.3$ \\ $1000$ & $0.130$ & $0.076$ & $0.128 \cdot 10^{-1}$ & $26.8$ & $26.3$ & $3.8$ & $1.4$ & $3.4$ & $0.1$ & $0.1$ & $-2.9$ & $-0.2$ \\ \hline $2000$ & $0.032$ & $0.615$ & $0.709 \cdot 10^{-1}$ & $13.1$ & $12.7$ & $2.6$ & $1.3$ & $2.2$ & $1.8$ & $-0.4$ & $0.1$ & $-0.5$ \\ $2000$ & $0.080$ & $0.246$ & $0.232 \cdot 10^{-1}$ & $12.6$ & $12.4$ & $2.3$ & $1.0$ & $1.1$ & $0.1$ & $-0.3$ & $0.4$ & $0.0$ \\ $2000$ & $0.130$ & $0.152$ & $0.128 \cdot 10^{-1}$ & $16.6$ & $16.3$ & $3.0$ & $0.9$ & $1.2$ & $0.0$ & $-0.3$ & $-0.1$ & $0.0$ \\ $2000$ & $0.250$ & $0.079$ & $0.545 \cdot 10^{-2}$ & $30.3$ & $28.9$ & $3.6$ & $0.3$ & $8.1$ & $0.0$ & $0.3$ & $-7.8$ & $0.0$ \\ \hline $3000$ & $0.080$ & $0.369$ & $0.227 \cdot 10^{-1}$ & $10.4$ & $10.1$ & $2.0$ & $0.2$ & $1.2$ & $-0.0$ & $0.3$ & $0.8$ & $-0.1$ \\ $3000$ & $0.130$ & $0.227$ & $0.914 \cdot 10^{-2}$ & $14.6$ & $14.4$ & $2.1$ & $0.6$ & $1.3$ & $-0.0$ & $-0.4$ & $0.6$ & $0.0$ \\ $3000$ & $0.250$ & $0.118$ & $0.381 \cdot 10^{-2}$ & $20.0$ & $19.6$ & $2.9$ & $0.8$ & $2.2$ & $0.0$ & $0.1$ & $-1.6$ & $0.0$ \\ \hline $5000$ & $0.080$ & $0.615$ & $0.135 \cdot 10^{-1}$ & $13.9$ & $13.6$ & $2.3$ & $0.9$ & $1.5$ & $0.1$ & $0.3$ & $0.9$ & $-0.1$ \\ $5000$ & $0.130$ & $0.379$ & $0.838 \cdot 10^{-2}$ & $12.0$ & $11.7$ & $2.2$ & $0.7$ & $1.5$ & $-0.0$ & $0.3$ & $1.0$ & $0.0$ \\ $5000$ & $0.250$ & $0.197$ & $0.280 \cdot 10^{-2}$ & $15.4$ & $15.1$ & $2.6$ & $1.6$ & $1.4$ & $0.0$ & $0.4$ & $0.5$ & $0.0$ \\ $5000$ & $0.400$ & $0.123$ & $0.831 \cdot 10^{-3}$ & $42.0$ & $40.9$ & $6.3$ & $5.8$ & $7.5$ & $0.0$ & $1.3$ & $-6.7$ & $0.0$ \\ \hline $8000$ & $0.130$ & $0.606$ & $0.539 \cdot 10^{-2}$ & $14.9$ & $14.3$ & $3.3$ & $2.3$ & $1.8$ & $-0.1$ & $0.7$ & $1.1$ & $0.0$ \\ $8000$ & $0.250$ & $0.315$ & $0.167 \cdot 10^{-2}$ & $15.9$ & $15.4$ & $2.9$ & $1.9$ & $1.8$ & $0.0$ & $0.7$ & $1.2$ & $0.0$ \\ $8000$ & $0.400$ & $0.197$ & $0.507 \cdot 10^{-3}$ & $32.2$ & $31.7$ & $5.1$ & $4.6$ & $2.8$ & $0.0$ & $1.4$ & $-0.9$ & $0.0$ \\ \hline $15000$ & $0.250$ & $0.591$ & $1.00 \cdot 10^{-3}$ & $18.8$ & $17.7$ & $5.7$ & $5.0$ & $2.8$ & $-0.0$ & $1.3$ & $2.0$ & $0.0$ \\ $15000$ & $0.400$ & $0.369$ & $0.265 \cdot 10^{-3}$ & $24.3$ & $23.6$ & $5.2$ & $4.6$ & $2.5$ & $0.0$ & $1.1$ & $1.1$ & $0.0$ \\ \hline \end{tabular} \end{center} \caption[RESULT] {\label{tab:ccdxdq2_eleRH} The CC $e^-p$ cross section ${\rm d}^2\sigma_{\rm CC}/{\rm d}x{\rm d}Q^2$ for lepton beam polarisation $P_e=+36.0$\% with statistical $(\delta_{\rm stat})$, total $(\delta_{\rm tot})$, total uncorrelated systematic $(\delta_{\rm unc})$ errors and one of its contributions from the hadronic energy error ($\delta_{\rm unc}^{h}$). The effect of the other uncorrelated systematic errors is included in $\delta_{\rm unc}$. In addition the correlated systematic $(\delta_{\rm cor})$ and its contributions from a positive variation of one standard deviation of the cuts against photoproduction ($\delta_{\rm cor}^{V^+}$), of the hadronic energy error ($\delta_{\rm cor}^{h^+}$), of the error due to noise subtraction ($\delta_{\rm cor}^{N^+}$) and of the error due to background subtraction ($\delta_{\rm cor}^{B^+}$) are given. The normalisation and polarisation uncertainties are not included in the errors. } \end{table} %\input{ccDxDq2e+LH} \begin{table}[htbp] \begin{center} \tiny \renewcommand{\arraystretch}{1.22} \begin{tabular}{|r|c|c|l|r|r|r|r|r|r|r|r|r|} \hline $Q^2$ &$x$ & $y$ & ${\rm d}^2\sigma_{\rm CC}/{\rm d}x{\rm d}Q^2$ & $\delta_{\rm tot}$ & $\delta_{\rm stat}$ & $\delta_{\rm unc}$ & $\delta_{\rm unc}^{h}$& $\delta_{\rm cor}$ & $\delta_{\rm cor}^{V^+}$ & $\delta_{\rm cor}^{h^+}$& $\delta_{\rm cor}^{N^+}$& $\delta_{\rm cor}^{B^+}$ \\ $(\rm GeV^2)$ & & & $(\rm pb/GeV^2)$ & $(\%)$ & $(\%)$ & $(\%)$ & $(\%)$ & $(\%)$ & $(\%)$ & $(\%)$ & $(\%)$ & $(\%)$ \\ \hline $300$ & $0.008$ & $0.369$ & $1.20$ & $50.7$ & $38.5$ & $26.5$ & $2.7$ & $19.8$ & $16.5$ & $-0.9$ & $-0.7$ & $-7.7$ \\ $300$ & $0.013$ & $0.227$ & $0.409$ & $32.7$ & $28.4$ & $11.0$ & $2.1$ & $11.9$ & $9.8$ & $-0.7$ & $-0.5$ & $-5.3$ \\ $300$ & $0.032$ & $0.092$ & $0.101$ & $25.3$ & $23.6$ & $5.4$ & $2.0$ & $7.1$ & $5.1$ & $-0.6$ & $1.3$ & $-4.5$ \\ $300$ & $0.080$ & $0.037$ & $0.256 \cdot 10^{-1}$ & $28.5$ & $27.5$ & $5.2$ & $2.4$ & $5.4$ & $1.7$ & $-0.4$ & $-4.1$ & $-2.6$ \\ \hline $500$ & $0.013$ & $0.379$ & $0.282$ & $23.6$ & $20.4$ & $7.1$ & $1.8$ & $9.5$ & $9.3$ & $-0.7$ & $0.3$ & $-1.5$ \\ $500$ & $0.032$ & $0.154$ & $0.104$ & $16.0$ & $15.2$ & $3.1$ & $1.0$ & $3.9$ & $3.6$ & $-0.3$ & $0.7$ & $-0.9$ \\ $500$ & $0.080$ & $0.062$ & $0.383 \cdot 10^{-1}$ & $14.8$ & $14.2$ & $3.7$ & $1.3$ & $2.0$ & $0.9$ & $-0.4$ & $0.7$ & $-1.1$ \\ $500$ & $0.130$ & $0.038$ & $0.121 \cdot 10^{-1}$ & $43.8$ & $41.5$ & $6.1$ & $0.2$ & $12.6$ & $0.1$ & $0.2$ & $-12.3$ & $0.0$ \\ \hline $1000$ & $0.013$ & $0.757$ & $0.238$ & $21.6$ & $18.4$ & $6.3$ & $0.9$ & $9.5$ & $9.3$ & $-0.3$ & $-0.4$ & $-1.6$ \\ $1000$ & $0.032$ & $0.308$ & $0.123$ & $10.4$ & $9.9$ & $2.3$ & $0.7$ & $2.3$ & $2.1$ & $-0.2$ & $0.6$ & $-0.2$ \\ $1000$ & $0.080$ & $0.123$ & $0.202 \cdot 10^{-1}$ & $14.2$ & $13.9$ & $2.8$ & $0.6$ & $1.3$ & $0.4$ & $-0.2$ & $0.8$ & $-0.2$ \\ $1000$ & $0.130$ & $0.076$ & $0.730 \cdot 10^{-2}$ & $26.5$ & $26.1$ & $3.8$ & $1.1$ & $2.8$ & $0.0$ & $-0.3$ & $-2.3$ & $0.0$ \\ \hline $2000$ & $0.032$ & $0.615$ & $0.531 \cdot 10^{-1}$ & $11.8$ & $11.3$ & $2.5$ & $0.2$ & $2.4$ & $2.1$ & $-0.1$ & $0.6$ & $-0.3$ \\ $2000$ & $0.080$ & $0.246$ & $0.156 \cdot 10^{-1}$ & $11.8$ & $11.5$ & $2.0$ & $0.2$ & $1.3$ & $0.1$ & $-0.2$ & $0.9$ & $-0.1$ \\ $2000$ & $0.130$ & $0.152$ & $0.692 \cdot 10^{-2}$ & $17.4$ & $17.1$ & $2.9$ & $0.5$ & $1.4$ & $0.0$ & $0.3$ & $0.7$ & $0.0$ \\ $2000$ & $0.250$ & $0.079$ & $0.228 \cdot 10^{-2}$ & $33.3$ & $31.8$ & $3.8$ & $1.2$ & $9.2$ & $0.0$ & $0.6$ & $-8.8$ & $0.0$ \\ \hline $3000$ & $0.080$ & $0.369$ & $0.118 \cdot 10^{-1}$ & $11.7$ & $11.3$ & $2.5$ & $1.5$ & $1.7$ & $-0.0$ & $0.4$ & $1.4$ & $0.0$ \\ $3000$ & $0.130$ & $0.227$ & $0.539 \cdot 10^{-2}$ & $15.2$ & $14.9$ & $2.3$ & $1.0$ & $1.6$ & $-0.0$ & $0.4$ & $1.1$ & $-0.1$ \\ $3000$ & $0.250$ & $0.118$ & $0.157 \cdot 10^{-2}$ & $23.5$ & $23.1$ & $3.7$ & $2.4$ & $2.2$ & $0.0$ & $0.6$ & $-1.4$ & $0.0$ \\ \hline $5000$ & $0.080$ & $0.615$ & $0.359 \cdot 10^{-2}$ & $21.5$ & $21.0$ & $3.5$ & $2.5$ & $2.7$ & $-0.2$ & $0.8$ & $2.2$ & $-0.1$ \\ $5000$ & $0.130$ & $0.379$ & $0.305 \cdot 10^{-2}$ & $16.0$ & $15.6$ & $2.8$ & $1.7$ & $1.9$ & $-0.1$ & $0.3$ & $1.4$ & $0.0$ \\ $5000$ & $0.250$ & $0.197$ & $0.808 \cdot 10^{-3}$ & $22.9$ & $22.5$ & $3.1$ & $2.4$ & $2.0$ & $0.0$ & $0.7$ & $1.0$ & $0.0$ \\ $5000$ & $0.400$ & $0.123$ & $0.525 \cdot 10^{-3}$ & $42.5$ & $40.9$ & $6.7$ & $6.2$ & $9.3$ & $0.0$ & $1.5$ & $-8.3$ & $0.0$ \\ \hline $8000$ & $0.130$ & $0.606$ & $0.682 \cdot 10^{-3}$ & $30.6$ & $29.7$ & $5.7$ & $5.1$ & $3.2$ & $-0.2$ & $1.0$ & $2.3$ & $0.0$ \\ $8000$ & $0.250$ & $0.315$ & $0.612 \cdot 10^{-3}$ & $21.4$ & $20.5$ & $4.7$ & $4.1$ & $2.6$ & $0.0$ & $1.0$ & $1.5$ & $0.0$ \\ $8000$ & $0.400$ & $0.197$ & $0.792 \cdot 10^{-4}$ & $59.1$ & $58.3$ & $8.1$ & $7.8$ & $4.2$ & $0.0$ & $2.1$ & $0.7$ & $0.0$ \\ \hline $15000$ & $0.250$ & $0.591$ & $0.721 \cdot 10^{-4}$ & $46.9$ & $46.0$ & $7.5$ & $6.9$ & $4.8$ & $-0.1$ & $2.6$ & $2.9$ & $0.0$ \\ $15000$ & $0.400$ & $0.369$ & $0.311 \cdot 10^{-4}$ & $45.9$ & $45.0$ & $7.4$ & $7.0$ & $4.2$ & $0.0$ & $2.2$ & $1.3$ & $0.0$ \\ \hline \end{tabular} \end{center} \caption[RESULT] {\label{tab:ccdxdq2_posLH} The CC $e^+p$ cross section ${\rm d}^2\sigma_{\rm CC}/{\rm d}x{\rm d}Q^2$ for lepton beam polarisation $P_e=-37.0$\% with statistical $(\delta_{\rm stat})$, total $(\delta_{\rm tot})$, total uncorrelated systematic $(\delta_{\rm unc})$ errors and one of its contributions from the hadronic energy error ($\delta_{\rm unc}^{h}$). The effect of the other uncorrelated systematic errors is included in $\delta_{\rm unc}$. In addition the correlated systematic $(\delta_{\rm cor})$ and its contributions from a positive variation of one standard deviation of the cuts against photoproduction ($\delta_{\rm cor}^{V^+}$), of the hadronic energy error ($\delta_{\rm cor}^{h^+}$), of the error due to noise subtraction ($\delta_{\rm cor}^{N^+}$) and of the error due to background subtraction ($\delta_{\rm cor}^{B^+}$) are given. The normalisation and polarisation uncertainties are not included in the errors. } \end{table} %\input{ccDxDq2e+RH} \begin{table}[htbp] \begin{center} \tiny \renewcommand{\arraystretch}{1.22} \begin{tabular}{|r|c|c|l|r|r|r|r|r|r|r|r|r|} \hline $Q^2$ &$x$ & $y$ & ${\rm d}^2\sigma_{\rm CC}/{\rm d}x{\rm d}Q^2$ & $\delta_{\rm tot}$ & $\delta_{\rm stat}$ & $\delta_{\rm unc}$ & $\delta_{\rm unc}^{h}$& $\delta_{\rm cor}$ & $\delta_{\rm cor}^{V^+}$ & $\delta_{\rm cor}^{h^+}$& $\delta_{\rm cor}^{N^+}$& $\delta_{\rm cor}^{B^+}$ \\ $(\rm GeV^2)$ & & & $(\rm pb/GeV^2)$ & $(\%)$ & $(\%)$ & $(\%)$ & $(\%)$ & $(\%)$ & $(\%)$ & $(\%)$ & $(\%)$ & $(\%)$ \\ \hline $300$ & $0.008$ & $0.369$ & $0.769$ & $58.3$ & $49.3$ & $25.9$ & $2.5$ & $17.3$ & $15.8$ & $-0.7$ & $-0.6$ & $-5.2$ \\ $300$ & $0.013$ & $0.227$ & $0.586$ & $25.8$ & $20.4$ & $11.5$ & $1.7$ & $11.0$ & $10.3$ & $-0.4$ & $0.3$ & $-2.8$ \\ $300$ & $0.032$ & $0.092$ & $0.270$ & $14.5$ & $11.9$ & $5.3$ & $1.6$ & $6.2$ & $5.4$ & $-0.3$ & $1.3$ & $-2.5$ \\ $300$ & $0.080$ & $0.037$ & $0.514 \cdot 10^{-1}$ & $18.1$ & $16.8$ & $5.1$ & $2.3$ & $4.2$ & $1.9$ & $-0.3$ & $-2.9$ & $-1.6$ \\ \hline $500$ & $0.008$ & $0.615$ & $1.56$ & $33.4$ & $23.2$ & $16.2$ & $2.2$ & $17.7$ & $17.5$ & $-0.6$ & $-0.2$ & $-0.5$ \\ $500$ & $0.013$ & $0.379$ & $0.663$ & $16.4$ & $11.4$ & $7.1$ & $2.0$ & $9.3$ & $9.2$ & $-0.5$ & $-0.3$ & $-0.7$ \\ $500$ & $0.032$ & $0.154$ & $0.250$ & $9.9$ & $8.5$ & $3.3$ & $1.6$ & $3.6$ & $3.3$ & $-0.6$ & $0.4$ & $-0.5$ \\ $500$ & $0.080$ & $0.062$ & $0.597 \cdot 10^{-1}$ & $10.6$ & $9.8$ & $3.6$ & $0.8$ & $1.5$ & $0.9$ & $-0.2$ & $0.2$ & $-0.1$ \\ $500$ & $0.130$ & $0.038$ & $0.266 \cdot 10^{-1}$ & $27.0$ & $23.7$ & $5.7$ & $1.0$ & $11.6$ & $0.2$ & $-1.0$ & $-11.3$ & $0.0$ \\ \hline $1000$ & $0.013$ & $0.757$ & $0.387$ & $16.9$ & $12.5$ & $6.1$ & $0.8$ & $9.5$ & $9.4$ & $-0.5$ & $0.6$ & $-0.2$ \\ $1000$ & $0.032$ & $0.308$ & $0.174$ & $8.1$ & $7.4$ & $2.4$ & $0.9$ & $2.3$ & $2.0$ & $-0.3$ & $0.7$ & $-0.1$ \\ $1000$ & $0.080$ & $0.123$ & $0.507 \cdot 10^{-1}$ & $8.4$ & $7.8$ & $2.8$ & $0.8$ & $1.3$ & $0.4$ & $-0.4$ & $0.7$ & $-0.1$ \\ $1000$ & $0.130$ & $0.076$ & $0.265 \cdot 10^{-1}$ & $12.9$ & $12.1$ & $3.7$ & $0.9$ & $2.8$ & $0.1$ & $-0.3$ & $-2.3$ & $0.0$ \\ \hline $2000$ & $0.032$ & $0.615$ & $0.103$ & $8.1$ & $7.3$ & $2.4$ & $0.4$ & $2.6$ & $2.2$ & $-0.2$ & $0.9$ & $0.0$ \\ $2000$ & $0.080$ & $0.246$ & $0.367 \cdot 10^{-1}$ & $7.1$ & $6.6$ & $2.0$ & $0.2$ & $1.3$ & $0.1$ & $0.1$ & $1.0$ & $-0.1$ \\ $2000$ & $0.130$ & $0.152$ & $0.164 \cdot 10^{-1}$ & $10.5$ & $9.9$ & $3.0$ & $0.8$ & $1.4$ & $0.0$ & $0.3$ & $0.6$ & $0.0$ \\ $2000$ & $0.250$ & $0.079$ & $0.470 \cdot 10^{-2}$ & $21.3$ & $19.3$ & $3.6$ & $0.6$ & $8.3$ & $0.0$ & $-0.2$ & $-8.0$ & $0.0$ \\ \hline $3000$ & $0.080$ & $0.369$ & $0.244 \cdot 10^{-1}$ & $7.5$ & $6.9$ & $2.4$ & $1.2$ & $1.6$ & $-0.0$ & $0.5$ & $1.2$ & $0.0$ \\ $3000$ & $0.130$ & $0.227$ & $0.152 \cdot 10^{-1}$ & $8.4$ & $8.0$ & $2.1$ & $0.5$ & $1.4$ & $-0.0$ & $0.2$ & $0.9$ & $0.0$ \\ $3000$ & $0.250$ & $0.118$ & $0.259 \cdot 10^{-2}$ & $16.4$ & $15.9$ & $3.4$ & $2.0$ & $2.1$ & $0.0$ & $0.4$ & $-1.2$ & $0.0$ \\ \hline $5000$ & $0.080$ & $0.615$ & $0.984 \cdot 10^{-2}$ & $12.1$ & $10.9$ & $4.0$ & $3.3$ & $3.0$ & $0.1$ & $0.7$ & $2.5$ & $-0.1$ \\ $5000$ & $0.130$ & $0.379$ & $0.627 \cdot 10^{-2}$ & $10.8$ & $9.8$ & $3.4$ & $2.7$ & $2.4$ & $-0.1$ & $0.9$ & $1.9$ & $0.0$ \\ $5000$ & $0.250$ & $0.197$ & $0.185 \cdot 10^{-2}$ & $14.0$ & $13.3$ & $3.4$ & $2.7$ & $1.8$ & $0.0$ & $0.6$ & $0.8$ & $0.0$ \\ $5000$ & $0.400$ & $0.123$ & $0.866 \cdot 10^{-3}$ & $27.7$ & $25.0$ & $7.9$ & $7.5$ & $8.6$ & $0.0$ & $1.5$ & $-7.4$ & $0.0$ \\ \hline $8000$ & $0.130$ & $0.606$ & $0.213 \cdot 10^{-2}$ & $17.0$ & $15.4$ & $5.6$ & $5.0$ & $3.5$ & $-0.2$ & $1.4$ & $2.6$ & $0.0$ \\ $8000$ & $0.250$ & $0.315$ & $0.988 \cdot 10^{-3}$ & $14.8$ & $13.5$ & $4.3$ & $3.6$ & $2.8$ & $0.0$ & $1.2$ & $1.8$ & $0.0$ \\ $8000$ & $0.400$ & $0.197$ & $0.295 \cdot 10^{-3}$ & $29.4$ & $27.8$ & $7.9$ & $7.7$ & $4.5$ & $0.0$ & $2.6$ & $-1.5$ & $0.0$ \\ \hline $15000$ & $0.250$ & $0.591$ & $0.306 \cdot 10^{-3}$ & $21.4$ & $19.0$ & $8.1$ & $7.6$ & $4.5$ & $0.1$ & $2.0$ & $2.9$ & $0.0$ \\ $15000$ & $0.400$ & $0.369$ & $0.361 \cdot 10^{-4}$ & $39.0$ & $38.0$ & $6.8$ & $6.3$ & $4.2$ & $0.0$ & $1.8$ & $1.7$ & $0.0$ \\ \hline \end{tabular} \end{center} \caption[RESULT] {\label{tab:ccdxdq2_posRH} The CC $e^+p$ cross section ${\rm d}^2\sigma_{\rm CC}/{\rm d}x{\rm d}Q^2$ for lepton beam polarisation $P_e=+32.5$\% with statistical $(\delta_{\rm stat})$, total $(\delta_{\rm tot})$, total uncorrelated systematic $(\delta_{\rm unc})$ errors and one of its contributions from the hadronic energy error ($\delta_{\rm unc}^{h}$). The effect of the other uncorrelated systematic errors is included in $\delta_{\rm unc}$. In addition the correlated systematic $(\delta_{\rm cor})$ and its contributions from a positive variation of one standard deviation of the cuts against photoproduction ($\delta_{\rm cor}^{V^+}$), of the hadronic energy error ($\delta_{\rm cor}^{h^+}$), of the error due to noise subtraction ($\delta_{\rm cor}^{N^+}$) and of the error due to background subtraction ($\delta_{\rm cor}^{B^+}$) are given. The normalisation and polarisation uncertainties are not included in the errors. } \end{table} \clearpage % tables 21-22 %\input{ncDyDq2e-} \begin{table}[htbp] \begin{center} \tiny \begin{tabular}{|r|c|c|r|r|r|r|r|r|r|r|r|r|r|r|} \hline $Q^2$ & $x$ & $y$ & $\tilde{\sigma}_{\rm NC}$ & $\delta_{\rm tot}$ & $\delta_{\rm stat}$ & $\delta_{\rm unc}$ & $\delta_{\rm unc}^{E}$ & $\delta_{\rm unc}^{h}$& $\delta_{\rm cor}$ & $\delta_{\rm cor}^{E^+}$ & $\delta_{\rm cor}^{\theta^+}$& $\delta_{\rm cor}^{h^+}$& $\delta_{\rm cor}^{N^+}$& $\delta_{\rm cor}^{B^+}$ \\ $(\rm GeV^2)$ & & & & $(\%)$ & $(\%)$ & $(\%)$ & $(\%)$ & $(\%)$ & $(\%)$ & $(\%)$ & $(\%)$ & $(\%)$ & $(\%)$ & $(\%)$ \\ \hline $90$ & $0.0015$ & $0.595$ & $1.370$ & $2.21$ & $1.21$ & $1.10$ & $0.57$ & $0.12$ & $1.48$ & $-0.06$ & $-0.69$ & $0.02$ & $0.22$ & $-1.29$ \\ \hline $120$ & $0.0020$ & $0.595$ & $1.293$ & $2.08$ & $1.13$ & $1.05$ & $0.49$ & $0.12$ & $1.40$ & $-0.30$ & $-0.54$ & $0.02$ & $0.20$ & $-1.24$ \\ $120$ & $0.0022$ & $0.530$ & $1.313$ & $1.78$ & $1.14$ & $0.98$ & $0.37$ & $0.07$ & $0.95$ & $-0.26$ & $-0.67$ & $0.03$ & $0.16$ & $-0.59$ \\ $120$ & $0.0025$ & $0.475$ & $1.228$ & $1.98$ & $1.32$ & $1.21$ & $0.76$ & $0.06$ & $0.84$ & $-0.40$ & $-0.64$ & $0.02$ & $0.19$ & $-0.32$ \\ $120$ & $0.0028$ & $0.425$ & $1.254$ & $2.08$ & $1.53$ & $1.13$ & $0.55$ & $0.05$ & $0.85$ & $-0.44$ & $-0.69$ & $0.02$ & $0.20$ & $-0.11$ \\ \hline $150$ & $0.0025$ & $0.595$ & $1.273$ & $1.93$ & $1.31$ & $0.96$ & $0.24$ & $0.10$ & $1.05$ & $-0.21$ & $-0.43$ & $0.03$ & $0.19$ & $-0.91$ \\ $150$ & $0.0028$ & $0.530$ & $1.215$ & $1.86$ & $1.30$ & $1.02$ & $0.45$ & $0.07$ & $0.86$ & $-0.39$ & $-0.55$ & $0.01$ & $0.17$ & $-0.52$ \\ $150$ & $0.0031$ & $0.475$ & $1.210$ & $1.77$ & $1.31$ & $0.96$ & $0.31$ & $0.06$ & $0.71$ & $-0.21$ & $-0.58$ & $0.02$ & $0.20$ & $-0.27$ \\ $150$ & $0.0035$ & $0.425$ & $1.164$ & $1.79$ & $1.23$ & $1.05$ & $0.56$ & $0.05$ & $0.78$ & $-0.33$ & $-0.65$ & $0.01$ & $0.20$ & $-0.16$ \\ $150$ & $0.0039$ & $0.375$ & $1.140$ & $1.85$ & $1.14$ & $1.19$ & $0.82$ & $0.01$ & $0.83$ & $-0.50$ & $-0.63$ & $0.00$ & $0.19$ & $-0.06$ \\ $150$ & $0.0045$ & $0.325$ & $1.107$ & $1.83$ & $1.15$ & $1.13$ & $0.72$ & $0.00$ & $0.86$ & $-0.52$ & $-0.69$ & $0.00$ & $0.00$ & $-0.02$ \\ $150$ & $0.0060$ & $0.245$ & $1.015$ & $2.01$ & $0.88$ & $1.44$ & $1.18$ & $0.00$ & $1.09$ & $-0.68$ & $-0.85$ & $0.00$ & $0.00$ & $-0.01$ \\ \hline $200$ & $0.0033$ & $0.595$ & $1.175$ & $2.17$ & $1.69$ & $0.99$ & $0.11$ & $0.08$ & $0.93$ & $0.11$ & $-0.51$ & $0.02$ & $0.14$ & $-0.76$ \\ $200$ & $0.0037$ & $0.530$ & $1.194$ & $2.03$ & $1.63$ & $0.99$ & $0.28$ & $0.07$ & $0.70$ & $-0.25$ & $-0.53$ & $0.02$ & $0.15$ & $-0.35$ \\ $200$ & $0.0041$ & $0.475$ & $1.103$ & $2.06$ & $1.71$ & $0.96$ & $0.14$ & $0.05$ & $0.64$ & $-0.17$ & $-0.58$ & $0.01$ & $0.14$ & $-0.15$ \\ $200$ & $0.0046$ & $0.425$ & $1.093$ & $2.05$ & $1.63$ & $1.02$ & $0.43$ & $0.04$ & $0.71$ & $-0.44$ & $-0.51$ & $0.01$ & $0.21$ & $-0.08$ \\ $200$ & $0.0052$ & $0.375$ & $1.083$ & $1.98$ & $1.49$ & $1.03$ & $0.48$ & $0.01$ & $0.82$ & $-0.38$ & $-0.70$ & $0.00$ & $0.18$ & $-0.04$ \\ $200$ & $0.0061$ & $0.325$ & $1.014$ & $2.08$ & $1.38$ & $1.26$ & $0.89$ & $0.00$ & $0.91$ & $-0.64$ & $-0.64$ & $0.00$ & $0.00$ & $-0.03$ \\ $200$ & $0.0080$ & $0.245$ & $0.9317$ & $1.84$ & $0.81$ & $1.37$ & $1.11$ & $0.00$ & $0.93$ & $-0.65$ & $-0.66$ & $0.00$ & $0.00$ & $0.00$ \\ \hline $250$ & $0.0041$ & $0.595$ & $1.136$ & $2.42$ & $2.01$ & $1.06$ & $0.25$ & $0.08$ & $0.86$ & $-0.25$ & $-0.39$ & $0.02$ & $0.20$ & $-0.70$ \\ $250$ & $0.0046$ & $0.530$ & $1.161$ & $2.26$ & $1.92$ & $1.02$ & $0.31$ & $0.07$ & $0.59$ & $-0.31$ & $-0.39$ & $0.01$ & $0.17$ & $-0.26$ \\ $250$ & $0.0052$ & $0.475$ & $1.048$ & $2.34$ & $2.00$ & $1.05$ & $0.39$ & $0.06$ & $0.59$ & $-0.39$ & $-0.39$ & $0.01$ & $0.16$ & $-0.17$ \\ $250$ & $0.0058$ & $0.425$ & $1.045$ & $2.15$ & $1.79$ & $1.03$ & $0.41$ & $0.04$ & $0.62$ & $-0.40$ & $-0.44$ & $0.02$ & $0.16$ & $-0.06$ \\ $250$ & $0.0066$ & $0.375$ & $0.9816$ & $2.09$ & $1.68$ & $1.02$ & $0.45$ & $0.01$ & $0.73$ & $-0.43$ & $-0.56$ & $0.01$ & $0.16$ & $-0.03$ \\ $250$ & $0.0076$ & $0.325$ & $0.9542$ & $1.98$ & $1.56$ & $1.04$ & $0.52$ & $0.00$ & $0.64$ & $-0.48$ & $-0.43$ & $0.00$ & $0.00$ & $-0.01$ \\ $250$ & $0.0100$ & $0.245$ & $0.8717$ & $1.75$ & $0.94$ & $1.12$ & $0.77$ & $0.00$ & $0.95$ & $-0.65$ & $-0.69$ & $0.00$ & $0.00$ & $-0.01$ \\ \hline $300$ & $0.0050$ & $0.595$ & $1.102$ & $2.73$ & $2.37$ & $1.10$ & $0.28$ & $0.07$ & $0.78$ & $-0.27$ & $-0.42$ & $0.02$ & $0.15$ & $-0.58$ \\ $300$ & $0.0056$ & $0.530$ & $1.110$ & $2.58$ & $2.31$ & $1.02$ & $0.12$ & $0.07$ & $0.53$ & $0.14$ & $-0.43$ & $0.03$ & $0.15$ & $-0.23$ \\ $300$ & $0.0062$ & $0.475$ & $1.049$ & $2.63$ & $2.28$ & $1.10$ & $0.40$ & $0.06$ & $0.72$ & $-0.40$ & $-0.55$ & $0.02$ & $0.15$ & $-0.19$ \\ $300$ & $0.0069$ & $0.425$ & $1.007$ & $2.43$ & $2.11$ & $1.02$ & $0.30$ & $0.04$ & $0.65$ & $-0.29$ & $-0.55$ & $0.01$ & $0.18$ & $-0.08$ \\ $300$ & $0.0079$ & $0.375$ & $0.9664$ & $2.28$ & $1.92$ & $1.03$ & $0.41$ & $0.01$ & $0.69$ & $-0.41$ & $-0.55$ & $0.00$ & $0.12$ & $-0.01$ \\ $300$ & $0.0091$ & $0.325$ & $0.9142$ & $2.17$ & $1.79$ & $1.01$ & $0.42$ & $0.00$ & $0.67$ & $-0.41$ & $-0.53$ & $0.00$ & $0.00$ & $-0.01$ \\ $300$ & $0.0121$ & $0.245$ & $0.8206$ & $1.71$ & $1.07$ & $1.03$ & $0.63$ & $0.00$ & $0.84$ & $-0.61$ & $-0.58$ & $0.00$ & $0.00$ & $0.00$ \\ \hline $400$ & $0.0066$ & $0.595$ & $1.049$ & $3.10$ & $2.77$ & $1.20$ & $0.43$ & $0.08$ & $0.73$ & $-0.33$ & $-0.31$ & $0.02$ & $0.18$ & $-0.54$ \\ $400$ & $0.0074$ & $0.530$ & $1.049$ & $3.02$ & $2.78$ & $1.08$ & $0.19$ & $0.05$ & $0.47$ & $-0.09$ & $-0.40$ & $0.02$ & $0.12$ & $-0.19$ \\ $400$ & $0.0083$ & $0.475$ & $0.9833$ & $3.02$ & $2.75$ & $1.11$ & $0.31$ & $0.03$ & $0.57$ & $-0.27$ & $-0.48$ & $0.02$ & $0.14$ & $-0.10$ \\ $400$ & $0.0093$ & $0.425$ & $0.9605$ & $2.85$ & $2.51$ & $1.11$ & $0.42$ & $0.04$ & $0.77$ & $-0.46$ & $-0.59$ & $0.01$ & $0.18$ & $-0.04$ \\ $400$ & $0.0105$ & $0.375$ & $0.9145$ & $2.57$ & $2.29$ & $1.03$ & $0.33$ & $0.01$ & $0.54$ & $-0.32$ & $-0.42$ & $0.00$ & $0.13$ & $-0.04$ \\ $400$ & $0.0121$ & $0.325$ & $0.8656$ & $2.45$ & $2.16$ & $1.01$ & $0.32$ & $0.00$ & $0.58$ & $-0.32$ & $-0.48$ & $0.00$ & $0.00$ & $-0.02$ \\ $400$ & $0.0161$ & $0.245$ & $0.7548$ & $1.84$ & $1.27$ & $1.03$ & $0.61$ & $0.00$ & $0.83$ & $-0.61$ & $-0.57$ & $0.00$ & $0.00$ & $-0.01$ \\ \hline $500$ & $0.0083$ & $0.595$ & $0.9427$ & $3.39$ & $3.16$ & $1.12$ & $0.13$ & $0.09$ & $0.52$ & $0.13$ & $-0.38$ & $0.02$ & $0.17$ & $-0.29$ \\ $500$ & $0.0093$ & $0.530$ & $0.9525$ & $3.40$ & $3.18$ & $1.11$ & $0.11$ & $0.07$ & $0.51$ & $-0.25$ & $-0.42$ & $0.02$ & $0.13$ & $-0.09$ \\ $500$ & $0.0104$ & $0.475$ & $0.8895$ & $3.65$ & $3.33$ & $1.30$ & $0.62$ & $0.06$ & $0.73$ & $-0.46$ & $-0.51$ & $0.01$ & $0.15$ & $-0.19$ \\ $500$ & $0.0116$ & $0.425$ & $0.9040$ & $3.20$ & $2.98$ & $1.09$ & $0.16$ & $0.05$ & $0.33$ & $-0.16$ & $-0.25$ & $0.00$ & $0.13$ & $-0.05$ \\ $500$ & $0.0131$ & $0.375$ & $0.8794$ & $3.12$ & $2.87$ & $1.08$ & $0.26$ & $0.01$ & $0.56$ & $-0.15$ & $-0.53$ & $0.00$ & $0.09$ & $-0.02$ \\ $500$ & $0.0152$ & $0.325$ & $0.8044$ & $3.04$ & $2.65$ & $1.22$ & $0.69$ & $0.00$ & $0.84$ & $-0.73$ & $-0.42$ & $0.00$ & $0.00$ & $-0.02$ \\ $500$ & $0.0201$ & $0.245$ & $0.7092$ & $2.02$ & $1.54$ & $1.04$ & $0.60$ & $0.00$ & $0.78$ & $-0.60$ & $-0.50$ & $0.00$ & $0.00$ & $0.00$ \\ \hline $650$ & $0.0108$ & $0.595$ & $0.9391$ & $3.76$ & $3.52$ & $1.21$ & $0.21$ & $0.06$ & $0.53$ & $-0.14$ & $-0.40$ & $0.02$ & $0.13$ & $-0.30$ \\ $650$ & $0.0121$ & $0.530$ & $0.8624$ & $3.84$ & $3.60$ & $1.27$ & $0.44$ & $0.08$ & $0.40$ & $-0.23$ & $-0.26$ & $0.03$ & $0.16$ & $-0.12$ \\ $650$ & $0.0135$ & $0.475$ & $0.8786$ & $3.86$ & $3.64$ & $1.24$ & $0.31$ & $0.06$ & $0.39$ & $-0.30$ & $-0.17$ & $0.02$ & $0.13$ & $-0.11$ \\ $650$ & $0.0151$ & $0.425$ & $0.8226$ & $3.81$ & $3.49$ & $1.30$ & $0.52$ & $0.03$ & $0.81$ & $-0.54$ & $-0.59$ & $0.01$ & $0.11$ & $0.00$ \\ $650$ & $0.0171$ & $0.375$ & $0.7808$ & $3.59$ & $3.30$ & $1.26$ & $0.57$ & $0.02$ & $0.63$ & $-0.45$ & $-0.42$ & $0.00$ & $0.14$ & $-0.01$ \\ $650$ & $0.0197$ & $0.325$ & $0.7520$ & $3.41$ & $3.08$ & $1.27$ & $0.62$ & $0.00$ & $0.74$ & $-0.53$ & $-0.51$ & $0.00$ & $0.00$ & $-0.01$ \\ $650$ & $0.0261$ & $0.245$ & $0.6866$ & $2.27$ & $1.82$ & $1.13$ & $0.68$ & $0.00$ & $0.78$ & $-0.62$ & $-0.47$ & $0.00$ & $0.00$ & $0.00$ \\ \hline $800$ & $0.0132$ & $0.595$ & $0.8143$ & $4.52$ & $4.30$ & $1.31$ & $0.21$ & $0.06$ & $0.50$ & $-0.14$ & $-0.42$ & $0.02$ & $0.16$ & $-0.18$ \\ $800$ & $0.0149$ & $0.530$ & $0.9105$ & $4.49$ & $4.25$ & $1.39$ & $0.48$ & $0.08$ & $0.47$ & $0.35$ & $0.20$ & $0.03$ & $0.18$ & $-0.15$ \\ $800$ & $0.0166$ & $0.475$ & $0.7637$ & $4.56$ & $4.34$ & $1.32$ & $0.10$ & $0.09$ & $0.53$ & $0.04$ & $-0.49$ & $0.02$ & $0.18$ & $-0.06$ \\ $800$ & $0.0185$ & $0.425$ & $0.7535$ & $4.31$ & $4.02$ & $1.49$ & $0.80$ & $0.01$ & $0.45$ & $-0.24$ & $-0.35$ & $0.00$ & $0.13$ & $-0.05$ \\ $800$ & $0.0210$ & $0.375$ & $0.6743$ & $4.22$ & $3.90$ & $1.41$ & $0.71$ & $0.01$ & $0.78$ & $-0.76$ & $-0.14$ & $0.00$ & $0.05$ & $-0.01$ \\ $800$ & $0.0242$ & $0.325$ & $0.6736$ & $3.86$ & $3.60$ & $1.31$ & $0.57$ & $0.00$ & $0.49$ & $-0.16$ & $-0.46$ & $0.00$ & $0.00$ & $-0.01$ \\ $800$ & $0.0322$ & $0.245$ & $0.6068$ & $2.68$ & $2.23$ & $1.28$ & $0.85$ & $0.00$ & $0.77$ & $-0.62$ & $-0.44$ & $0.00$ & $0.00$ & $0.00$ \\ \hline \end{tabular} \end{center} \caption[RESULT] {\label{tab:ncdydq2_ele} The NC $e^-p$ reduced cross section $\tilde{\sigma}_{\rm NC}(y,Q^2)$ for $P_e=0$ with statistical $(\delta_{\rm stat})$, total $(\delta_{tot})$, total uncorrelated systematic $(\delta_{\rm unc})$ errors, two of its contributions from the electron energy error ($\delta_{unc}^{E}$) and the hadronic energy error ($\delta_{\rm unc}^{h}$). The effect of the other uncorrelated systematic errors is included in $\delta_{\rm unc}$. In addition the correlated systematic $(\delta_{\rm cor})$ and its contributions from a positive variation of one standard deviation of the electron energy error ($\delta_{cor}^{E^+}$), of the polar electron angle error ($\delta_{\rm cor}^{\theta^+}$), of the hadronic energy error ($\delta_{\rm cor}^{h^+}$), of the error due to noise subtraction ($\delta_{\rm cor}^{N^+}$) and of the error due to background subtraction ($\delta_{\rm cor}^{B^+}$) are given. The normalisation and polarisation uncertainties are not included in the errors. } \end{table} %\input{ncDyDq2e+} \begin{table}[htbp] \begin{center} \tiny \begin{tabular}{|r|c|c|r|r|r|r|r|r|r|r|r|r|r|r|} \hline $Q^2$ & $x$ & $y$ & $\tilde{\sigma}_{\rm NC}$ & $\delta_{\rm tot}$ & $\delta_{\rm stat}$ & $\delta_{\rm unc}$ & $\delta_{\rm unc}^{E}$ & $\delta_{\rm unc}^{h}$& $\delta_{\rm cor}$ & $\delta_{\rm cor}^{E^+}$ & $\delta_{\rm cor}^{\theta^+}$& $\delta_{\rm cor}^{h^+}$& $\delta_{\rm cor}^{N^+}$& $\delta_{\rm cor}^{B^+}$ \\ $(\rm GeV^2)$ & & & & $(\%)$ & $(\%)$ & $(\%)$ & $(\%)$ & $(\%)$ & $(\%)$ & $(\%)$ & $(\%)$ & $(\%)$ & $(\%)$ & $(\%)$ \\ \hline $90$ & $0.0015$ & $0.595$ & $1.382$ & $2.20$ & $1.12$ & $1.03$ & $0.62$ & $0.09$ & $1.59$ & $-0.29$ & $-0.64$ & $0.03$ & $0.15$ & $-1.41$ \\ \hline $120$ & $0.0020$ & $0.595$ & $1.340$ & $1.98$ & $1.02$ & $0.90$ & $0.40$ & $0.10$ & $1.44$ & $-0.29$ & $-0.58$ & $0.02$ & $0.19$ & $-1.28$ \\ $120$ & $0.0022$ & $0.530$ & $1.312$ & $1.69$ & $1.02$ & $0.96$ & $0.56$ & $0.08$ & $0.95$ & $-0.29$ & $-0.68$ & $0.02$ & $0.18$ & $-0.58$ \\ $120$ & $0.0025$ & $0.475$ & $1.270$ & $1.79$ & $1.18$ & $1.02$ & $0.62$ & $0.06$ & $0.89$ & $-0.53$ & $-0.66$ & $0.01$ & $0.16$ & $-0.20$ \\ $120$ & $0.0028$ & $0.425$ & $1.223$ & $1.89$ & $1.42$ & $1.02$ & $0.51$ & $0.04$ & $0.74$ & $-0.29$ & $-0.64$ & $0.01$ & $0.18$ & $-0.12$ \\ \hline $150$ & $0.0025$ & $0.595$ & $1.240$ & $1.88$ & $1.21$ & $0.83$ & $0.13$ & $0.11$ & $1.17$ & $-0.12$ & $-0.44$ & $0.02$ & $0.18$ & $-1.07$ \\ $150$ & $0.0028$ & $0.530$ & $1.263$ & $1.59$ & $1.17$ & $0.84$ & $0.30$ & $0.07$ & $0.68$ & $-0.27$ & $-0.47$ & $0.02$ & $0.17$ & $-0.38$ \\ $150$ & $0.0031$ & $0.475$ & $1.213$ & $1.73$ & $1.19$ & $0.94$ & $0.52$ & $0.04$ & $0.83$ & $-0.48$ & $-0.61$ & $0.01$ & $0.16$ & $-0.26$ \\ $150$ & $0.0035$ & $0.425$ & $1.209$ & $1.70$ & $1.10$ & $1.06$ & $0.75$ & $0.03$ & $0.74$ & $-0.41$ & $-0.58$ & $0.01$ & $0.16$ & $-0.15$ \\ $150$ & $0.0039$ & $0.375$ & $1.160$ & $1.62$ & $1.02$ & $0.96$ & $0.62$ & $0.02$ & $0.80$ & $-0.34$ & $-0.70$ & $0.00$ & $0.18$ & $-0.03$ \\ $150$ & $0.0045$ & $0.325$ & $1.112$ & $1.85$ & $1.04$ & $1.19$ & $0.93$ & $0.00$ & $0.96$ & $-0.66$ & $-0.70$ & $0.00$ & $0.00$ & $-0.03$ \\ $150$ & $0.0060$ & $0.245$ & $1.015$ & $1.89$ & $0.80$ & $1.37$ & $1.18$ & $0.00$ & $1.03$ & $-0.70$ & $-0.75$ & $0.00$ & $0.00$ & $0.00$ \\ \hline $200$ & $0.0033$ & $0.595$ & $1.220$ & $2.04$ & $1.55$ & $0.90$ & $0.23$ & $0.09$ & $0.97$ & $-0.22$ & $-0.46$ & $0.02$ & $0.17$ & $-0.81$ \\ $200$ & $0.0037$ & $0.530$ & $1.177$ & $1.87$ & $1.50$ & $0.86$ & $0.17$ & $0.07$ & $0.72$ & $-0.18$ & $-0.53$ & $0.02$ & $0.17$ & $-0.41$ \\ $200$ & $0.0041$ & $0.475$ & $1.125$ & $1.90$ & $1.55$ & $0.85$ & $0.12$ & $0.06$ & $0.70$ & $-0.09$ & $-0.64$ & $0.01$ & $0.16$ & $-0.20$ \\ $200$ & $0.0046$ & $0.425$ & $1.109$ & $1.81$ & $1.44$ & $0.89$ & $0.37$ & $0.05$ & $0.64$ & $-0.29$ & $-0.54$ & $0.01$ & $0.16$ & $-0.08$ \\ $200$ & $0.0052$ & $0.375$ & $1.059$ & $1.84$ & $1.35$ & $0.94$ & $0.53$ & $0.02$ & $0.82$ & $-0.44$ & $-0.67$ & $0.01$ & $0.17$ & $-0.03$ \\ $200$ & $0.0061$ & $0.325$ & $1.038$ & $1.81$ & $1.22$ & $1.04$ & $0.71$ & $0.00$ & $0.84$ & $-0.50$ & $-0.68$ & $0.00$ & $0.00$ & $-0.03$ \\ $200$ & $0.0080$ & $0.245$ & $0.9387$ & $1.77$ & $0.73$ & $1.26$ & $1.07$ & $0.00$ & $1.01$ & $-0.64$ & $-0.79$ & $0.00$ & $0.00$ & $0.00$ \\ \hline $250$ & $0.0041$ & $0.595$ & $1.139$ & $2.25$ & $1.83$ & $0.94$ & $0.26$ & $0.10$ & $0.90$ & $-0.26$ & $-0.42$ & $0.03$ & $0.17$ & $-0.74$ \\ $250$ & $0.0046$ & $0.530$ & $1.130$ & $2.04$ & $1.74$ & $0.88$ & $0.16$ & $0.05$ & $0.60$ & $-0.16$ & $-0.46$ & $0.01$ & $0.12$ & $-0.33$ \\ $250$ & $0.0052$ & $0.475$ & $1.093$ & $2.07$ & $1.75$ & $0.92$ & $0.32$ & $0.06$ & $0.60$ & $-0.32$ & $-0.46$ & $0.01$ & $0.15$ & $-0.14$ \\ $250$ & $0.0058$ & $0.425$ & $1.089$ & $1.97$ & $1.60$ & $0.93$ & $0.43$ & $0.06$ & $0.68$ & $-0.41$ & $-0.49$ & $0.02$ & $0.18$ & $-0.13$ \\ $250$ & $0.0066$ & $0.375$ & $1.021$ & $1.83$ & $1.50$ & $0.87$ & $0.36$ & $0.02$ & $0.61$ & $-0.33$ & $-0.49$ & $0.00$ & $0.14$ & $-0.02$ \\ $250$ & $0.0076$ & $0.325$ & $0.9427$ & $1.96$ & $1.43$ & $1.03$ & $0.68$ & $0.00$ & $0.85$ & $-0.65$ & $-0.54$ & $0.00$ & $0.00$ & $-0.02$ \\ $250$ & $0.0100$ & $0.245$ & $0.8633$ & $1.60$ & $0.85$ & $1.05$ & $0.80$ & $0.00$ & $0.86$ & $-0.59$ & $-0.62$ & $0.00$ & $0.00$ & $-0.01$ \\ \hline $300$ & $0.0050$ & $0.595$ & $1.115$ & $2.49$ & $2.15$ & $0.96$ & $0.09$ & $0.08$ & $0.81$ & $-0.08$ & $-0.38$ & $0.01$ & $0.16$ & $-0.70$ \\ $300$ & $0.0056$ & $0.530$ & $1.093$ & $2.43$ & $2.12$ & $0.95$ & $0.30$ & $0.07$ & $0.71$ & $-0.33$ & $-0.51$ & $0.03$ & $0.15$ & $-0.34$ \\ $300$ & $0.0062$ & $0.475$ & $1.043$ & $2.32$ & $2.07$ & $0.90$ & $0.07$ & $0.04$ & $0.53$ & $-0.07$ & $-0.50$ & $0.01$ & $0.13$ & $-0.10$ \\ $300$ & $0.0069$ & $0.425$ & $1.016$ & $2.31$ & $1.93$ & $1.01$ & $0.54$ & $0.04$ & $0.78$ & $-0.54$ & $-0.53$ & $0.01$ & $0.17$ & $-0.10$ \\ $300$ & $0.0079$ & $0.375$ & $0.9685$ & $2.04$ & $1.74$ & $0.86$ & $0.28$ & $0.00$ & $0.62$ & $-0.28$ & $-0.54$ & $0.00$ & $0.10$ & $-0.02$ \\ $300$ & $0.0091$ & $0.325$ & $0.8966$ & $2.02$ & $1.65$ & $0.90$ & $0.42$ & $0.00$ & $0.76$ & $-0.42$ & $-0.63$ & $0.00$ & $0.00$ & $-0.01$ \\ $300$ & $0.0121$ & $0.245$ & $0.8111$ & $1.68$ & $0.98$ & $1.00$ & $0.72$ & $0.00$ & $0.93$ & $-0.72$ & $-0.58$ & $0.00$ & $0.00$ & $-0.01$ \\ \hline $400$ & $0.0066$ & $0.595$ & $1.021$ & $2.87$ & $2.55$ & $1.03$ & $0.22$ & $0.10$ & $0.82$ & $0.19$ & $-0.59$ & $0.02$ & $0.14$ & $-0.52$ \\ $400$ & $0.0074$ & $0.530$ & $1.048$ & $2.73$ & $2.46$ & $1.00$ & $0.28$ & $0.07$ & $0.64$ & $-0.29$ & $-0.49$ & $0.01$ & $0.14$ & $-0.25$ \\ $400$ & $0.0083$ & $0.475$ & $0.9818$ & $2.82$ & $2.50$ & $1.13$ & $0.61$ & $0.05$ & $0.67$ & $-0.61$ & $-0.20$ & $0.00$ & $0.11$ & $-0.14$ \\ $400$ & $0.0093$ & $0.425$ & $0.9174$ & $2.65$ & $2.33$ & $1.04$ & $0.52$ & $0.04$ & $0.70$ & $-0.52$ & $-0.43$ & $0.01$ & $0.17$ & $-0.08$ \\ $400$ & $0.0105$ & $0.375$ & $0.8979$ & $2.32$ & $2.09$ & $0.88$ & $0.20$ & $0.01$ & $0.52$ & $-0.20$ & $-0.47$ & $0.00$ & $0.13$ & $-0.02$ \\ $400$ & $0.0121$ & $0.325$ & $0.8714$ & $2.34$ & $1.91$ & $1.06$ & $0.66$ & $0.00$ & $0.85$ & $-0.66$ & $-0.54$ & $0.00$ & $0.00$ & $-0.01$ \\ $400$ & $0.0161$ & $0.245$ & $0.7565$ & $1.65$ & $1.15$ & $0.91$ & $0.59$ & $0.00$ & $0.75$ & $-0.58$ & $-0.47$ & $0.00$ & $0.00$ & $0.00$ \\ \hline $500$ & $0.0083$ & $0.595$ & $0.9509$ & $3.20$ & $2.94$ & $1.10$ & $0.41$ & $0.10$ & $0.60$ & $-0.22$ & $-0.17$ & $0.02$ & $0.17$ & $-0.50$ \\ $500$ & $0.0093$ & $0.530$ & $0.9256$ & $3.09$ & $2.88$ & $1.02$ & $0.24$ & $0.07$ & $0.40$ & $-0.08$ & $-0.35$ & $0.01$ & $0.11$ & $-0.15$ \\ $500$ & $0.0104$ & $0.475$ & $0.9175$ & $3.22$ & $2.96$ & $1.10$ & $0.42$ & $0.06$ & $0.63$ & $-0.27$ & $-0.54$ & $0.01$ & $0.17$ & $-0.07$ \\ $500$ & $0.0116$ & $0.425$ & $0.8560$ & $3.07$ & $2.82$ & $1.01$ & $0.22$ & $0.03$ & $0.67$ & $-0.15$ & $-0.63$ & $0.01$ & $0.16$ & $-0.06$ \\ $500$ & $0.0131$ & $0.375$ & $0.8663$ & $2.82$ & $2.51$ & $1.04$ & $0.47$ & $0.01$ & $0.75$ & $-0.51$ & $-0.55$ & $0.00$ & $0.09$ & $-0.02$ \\ $500$ & $0.0152$ & $0.325$ & $0.7935$ & $2.62$ & $2.42$ & $0.91$ & $0.16$ & $0.00$ & $0.44$ & $0.12$ & $-0.42$ & $0.00$ & $0.00$ & $-0.01$ \\ $500$ & $0.0201$ & $0.245$ & $0.7274$ & $1.95$ & $1.41$ & $1.00$ & $0.68$ & $0.00$ & $0.89$ & $-0.67$ & $-0.58$ & $0.00$ & $0.00$ & $0.00$ \\ \hline $650$ & $0.0108$ & $0.595$ & $0.8748$ & $3.49$ & $3.25$ & $1.16$ & $0.40$ & $0.06$ & $0.53$ & $-0.39$ & $-0.20$ & $0.01$ & $0.09$ & $-0.27$ \\ $650$ & $0.0121$ & $0.530$ & $0.8859$ & $3.43$ & $3.20$ & $1.08$ & $0.16$ & $0.06$ & $0.58$ & $-0.20$ & $-0.52$ & $0.02$ & $0.11$ & $-0.13$ \\ $650$ & $0.0135$ & $0.475$ & $0.7983$ & $3.66$ & $3.42$ & $1.16$ & $0.39$ & $0.04$ & $0.60$ & $-0.27$ & $-0.52$ & $0.00$ & $0.11$ & $-0.06$ \\ $650$ & $0.0151$ & $0.425$ & $0.8432$ & $3.31$ & $3.12$ & $1.07$ & $0.17$ & $0.05$ & $0.27$ & $-0.11$ & $-0.15$ & $0.02$ & $0.20$ & $-0.01$ \\ $650$ & $0.0171$ & $0.375$ & $0.7310$ & $3.39$ & $3.09$ & $1.22$ & $0.67$ & $0.01$ & $0.69$ & $-0.48$ & $-0.48$ & $0.00$ & $0.08$ & $-0.05$ \\ $650$ & $0.0197$ & $0.325$ & $0.7176$ & $3.12$ & $2.86$ & $1.08$ & $0.42$ & $0.00$ & $0.63$ & $-0.46$ & $-0.44$ & $0.00$ & $0.00$ & $-0.01$ \\ $650$ & $0.0261$ & $0.245$ & $0.6801$ & $2.07$ & $1.68$ & $0.95$ & $0.54$ & $0.00$ & $0.76$ & $-0.47$ & $-0.59$ & $0.00$ & $0.00$ & $0.00$ \\ \hline $800$ & $0.0132$ & $0.595$ & $0.8173$ & $4.08$ & $3.81$ & $1.32$ & $0.28$ & $0.11$ & $0.66$ & $0.37$ & $-0.44$ & $0.03$ & $0.16$ & $-0.29$ \\ $800$ & $0.0149$ & $0.530$ & $0.7529$ & $4.10$ & $3.88$ & $1.22$ & $0.29$ & $0.06$ & $0.49$ & $-0.27$ & $-0.35$ & $0.04$ & $0.12$ & $-0.15$ \\ $800$ & $0.0166$ & $0.475$ & $0.7075$ & $4.27$ & $4.04$ & $1.30$ & $0.47$ & $0.05$ & $0.50$ & $-0.35$ & $-0.30$ & $0.02$ & $0.16$ & $-0.11$ \\ $800$ & $0.0185$ & $0.425$ & $0.6978$ & $3.97$ & $3.72$ & $1.24$ & $0.49$ & $0.02$ & $0.62$ & $-0.54$ & $-0.27$ & $0.00$ & $0.13$ & $-0.05$ \\ $800$ & $0.0210$ & $0.375$ & $0.7056$ & $3.81$ & $3.41$ & $1.52$ & $1.05$ & $0.00$ & $0.72$ & $-0.51$ & $-0.50$ & $0.00$ & $0.05$ & $-0.03$ \\ $800$ & $0.0242$ & $0.325$ & $0.6539$ & $3.63$ & $3.42$ & $1.16$ & $0.39$ & $0.00$ & $0.37$ & $-0.19$ & $-0.32$ & $0.00$ & $0.00$ & $-0.01$ \\ $800$ & $0.0322$ & $0.245$ & $0.6030$ & $2.37$ & $1.98$ & $1.12$ & $0.74$ & $0.00$ & $0.67$ & $-0.47$ & $-0.48$ & $0.00$ & $0.00$ & $0.00$ \\ \hline \end{tabular} \end{center} \caption[RESULT] {\label{tab:ncdydq2_pos} The NC $e^+p$ reduced cross section $\tilde{\sigma}_{\rm NC}(y,Q^2)$ for $P_e=0$ with statistical $(\delta_{\rm stat})$, total $(\delta_{tot})$, total uncorrelated systematic $(\delta_{\rm unc})$ errors, two of its contributions from the electron energy error ($\delta_{unc}^{E}$) and the hadronic energy error ($\delta_{\rm unc}^{h}$). The effect of the other uncorrelated systematic errors is included in $\delta_{\rm unc}$. In addition the correlated systematic $(\delta_{\rm cor})$ and its contributions from a positive variation of one standard deviation of the electron energy error ($\delta_{cor}^{E^+}$), of the polar electron angle error ($\delta_{\rm cor}^{\theta^+}$), of the hadronic energy error ($\delta_{\rm cor}^{h^+}$), of the error due to noise subtraction ($\delta_{\rm cor}^{N^+}$) and of the error due to background subtraction ($\delta_{\rm cor}^{B^+}$) are given. The normalisation and polarisation uncertainties are not included in the errors. } \end{table} \clearpage % tables 23-24 %\input{nchighye-} \begin{table}[htbp] \begin{center} \tiny \begin{tabular}{|r|c|c|r|r|r|r|r|r|r|r|r|r|r|r|} \hline $Q^2$ & $x$ & $y$ & $\tilde{\sigma}_{\rm NC}$ & $\delta_{\rm tot}$ & $\delta_{\rm stat}$ & $\delta_{\rm unc}$ & $\delta_{\rm unc}^{E}$ & $\delta_{\rm unc}^{h}$& $\delta_{\rm cor}$ & $\delta_{\rm cor}^{E^+}$ & $\delta_{\rm cor}^{\theta^+}$& $\delta_{\rm cor}^{h^+}$& $\delta_{\rm cor}^{N^+}$& $\delta_{\rm cor}^{S^+}$ \\ $(\rm GeV^2)$ & & & & $(\%)$ & $(\%)$ & $(\%)$ & $(\%)$ & $(\%)$ & $(\%)$ & $(\%)$ & $(\%)$ & $(\%)$ & $(\%)$ & $(\%)$ \\ \hline $60$ & $0.0008$ & $0.75$ & $1.436$ & $2.29$ & $1.02$ & $1.84$ & $0.52$ & $0.28$ & $0.92$ & $-0.19$ & $-0.62$ & $0.05$ & $0.19$ & $-0.62$ \\ $90$ & $0.0012$ & $0.75$ & $1.437$ & $2.05$ & $0.83$ & $1.71$ & $0.31$ & $0.26$ & $0.77$ & $-0.28$ & $-0.45$ & $0.07$ & $0.20$ & $-0.52$ \\ $120$ & $0.0016$ & $0.75$ & $1.400$ & $2.15$ & $0.93$ & $1.82$ & $0.48$ & $0.28$ & $0.69$ & $-0.09$ & $-0.40$ & $0.05$ & $0.22$ & $-0.50$ \\ $150$ & $0.0020$ & $0.75$ & $1.313$ & $2.25$ & $1.05$ & $1.89$ & $0.38$ & $0.27$ & $0.61$ & $-0.19$ & $-0.34$ & $0.06$ & $0.22$ & $-0.41$ \\ $200$ & $0.0026$ & $0.75$ & $1.252$ & $2.48$ & $1.35$ & $2.00$ & $0.49$ & $0.30$ & $0.56$ & $-0.07$ & $-0.35$ & $0.06$ & $0.24$ & $-0.35$ \\ $250$ & $0.0033$ & $0.75$ & $1.244$ & $2.56$ & $1.54$ & $1.98$ & $0.31$ & $0.32$ & $0.53$ & $-0.13$ & $-0.29$ & $0.08$ & $0.26$ & $-0.32$ \\ $300$ & $0.0039$ & $0.75$ & $1.192$ & $2.70$ & $1.79$ & $1.96$ & $0.14$ & $0.31$ & $0.51$ & $-0.12$ & $-0.26$ & $0.06$ & $0.28$ & $-0.31$ \\ $400$ & $0.0052$ & $0.75$ & $1.122$ & $2.81$ & $1.95$ & $1.96$ & $0.26$ & $0.30$ & $0.50$ & $-0.06$ & $-0.35$ & $0.08$ & $0.25$ & $-0.23$ \\ $500$ & $0.0066$ & $0.75$ & $1.018$ & $2.90$ & $2.16$ & $1.90$ & $0.13$ & $0.25$ & $0.35$ & $-0.11$ & $-0.15$ & $0.09$ & $0.25$ & $-0.13$ \\ $650$ & $0.0085$ & $0.75$ & $0.9565$ & $3.13$ & $2.45$ & $1.92$ & $0.21$ & $0.21$ & $0.38$ & $0.07$ & $-0.28$ & $0.06$ & $0.23$ & $-0.08$ \\ $800$ & $0.0105$ & $0.75$ & $0.9329$ & $3.49$ & $2.85$ & $1.97$ & $0.23$ & $0.21$ & $0.39$ & $-0.22$ & $-0.20$ & $0.06$ & $0.25$ & $-0.04$ \\ \hline \end{tabular} \end{center} \caption[RESULT] {\label{tab:nchighy_ele} The NC $e^-p$ reduced cross section $\tilde{\sigma}_{\rm NC}(x,Q^2)$ for $P_e=0$ with statistical $(\delta_{\rm stat})$, total $(\delta_{tot})$, total uncorrelated systematic $(\delta_{\rm unc})$ errors, two of its contributions from the electron energy error ($\delta_{unc}^{E}$) and the hadronic energy error ($\delta_{\rm unc}^{h}$). The effect of the other uncorrelated systematic errors is included in $\delta_{\rm unc}$. In addition the correlated systematic $(\delta_{\rm cor})$ and its contributions from a positive variation of one standard deviation of the electron energy error ($\delta_{cor}^{E^+}$), of the polar electron angle error ($\delta_{\rm cor}^{\theta^+}$), of the hadronic energy error ($\delta_{\rm cor}^{h^+}$), of the error due to noise subtraction ($\delta_{\rm cor}^{N^+}$) and of the error due to background subtraction charge asymmetry ($\delta_{\rm cor}^{S^+}$) are given. The normalisation and polarisation uncertainties are not included in the errors. } \end{table} %\input{nchighye+} \begin{table}[htbp] \begin{center} \tiny \begin{tabular}{|r|c|c|r|r|r|r|r|r|r|r|r|r|r|r|} \hline $Q^2$ & $x$ & $y$ & $\tilde{\sigma}_{\rm NC}$ & $\delta_{\rm tot}$ & $\delta_{\rm stat}$ & $\delta_{\rm unc}$ & $\delta_{\rm unc}^{E}$ & $\delta_{\rm unc}^{h}$& $\delta_{\rm cor}$ & $\delta_{\rm cor}^{E^+}$ & $\delta_{\rm cor}^{\theta^+}$& $\delta_{\rm cor}^{h^+}$& $\delta_{\rm cor}^{N^+}$& $\delta_{\rm cor}^{S^+}$ \\ $(\rm GeV^2)$ & & & & $(\%)$ & $(\%)$ & $(\%)$ & $(\%)$ & $(\%)$ & $(\%)$ & $(\%)$ & $(\%)$ & $(\%)$ & $(\%)$ & $(\%)$ \\ \hline $60$ & $0.0008$ & $0.75$ & $1.453$ & $2.21$ & $0.88$ & $1.86$ & $0.70$ & $0.26$ & $0.81$ & $-0.31$ & $-0.48$ & $0.05$ & $0.17$ & $0.54$ \\ $90$ & $0.0012$ & $0.75$ & $1.460$ & $1.93$ & $0.72$ & $1.64$ & $0.13$ & $0.26$ & $0.73$ & $-0.21$ & $-0.50$ & $0.07$ & $0.21$ & $0.44$ \\ $120$ & $0.0016$ & $0.75$ & $1.379$ & $2.04$ & $0.84$ & $1.71$ & $0.36$ & $0.28$ & $0.72$ & $0.10$ & $-0.45$ & $0.07$ & $0.23$ & $0.50$ \\ $150$ & $0.0020$ & $0.75$ & $1.346$ & $2.14$ & $0.96$ & $1.81$ & $0.42$ & $0.25$ & $0.64$ & $-0.24$ & $-0.36$ & $0.07$ & $0.23$ & $0.41$ \\ $200$ & $0.0026$ & $0.75$ & $1.289$ & $2.38$ & $1.24$ & $1.94$ & $0.59$ & $0.26$ & $0.61$ & $-0.03$ & $-0.45$ & $0.06$ & $0.21$ & $0.35$ \\ $250$ & $0.0033$ & $0.75$ & $1.263$ & $2.42$ & $1.43$ & $1.88$ & $0.20$ & $0.30$ & $0.50$ & $-0.18$ & $-0.27$ & $0.05$ & $0.23$ & $0.30$ \\ $300$ & $0.0039$ & $0.75$ & $1.203$ & $2.53$ & $1.63$ & $1.88$ & $0.05$ & $0.34$ & $0.47$ & $-0.17$ & $-0.23$ & $0.08$ & $0.26$ & $0.25$ \\ $400$ & $0.0052$ & $0.75$ & $1.162$ & $2.60$ & $1.73$ & $1.89$ & $0.35$ & $0.27$ & $0.42$ & $-0.02$ & $-0.27$ & $0.07$ & $0.28$ & $0.14$ \\ $500$ & $0.0066$ & $0.75$ & $1.038$ & $2.69$ & $1.94$ & $1.83$ & $0.07$ & $0.23$ & $0.41$ & $-0.16$ & $-0.23$ & $0.07$ & $0.25$ & $0.13$ \\ $650$ & $0.0085$ & $0.75$ & $0.9795$ & $2.93$ & $2.22$ & $1.87$ & $0.23$ & $0.23$ & $0.46$ & $-0.09$ & $-0.34$ & $0.06$ & $0.27$ & $0.09$ \\ $800$ & $0.0105$ & $0.75$ & $0.9018$ & $3.31$ & $2.65$ & $1.93$ & $0.21$ & $0.24$ & $0.43$ & $0.07$ & $-0.31$ & $0.08$ & $0.28$ & $0.05$ \\ \hline \end{tabular} \end{center} \caption[RESULT] {\label{tab:nchighy_pos} The NC $e^+p$ reduced cross section $\tilde{\sigma}_{\rm NC}(x,Q^2)$ for $P_e=0$ with statistical $(\delta_{\rm stat})$, total $(\delta_{tot})$, total uncorrelated systematic $(\delta_{\rm unc})$ errors, two of its contributions from the electron energy error ($\delta_{unc}^{E}$) and the hadronic energy error ($\delta_{\rm unc}^{h}$). The effect of the other uncorrelated systematic errors is included in $\delta_{\rm unc}$. In addition the correlated systematic $(\delta_{\rm cor})$ and its contributions from a positive variation of one standard deviation of the electron energy error ($\delta_{cor}^{E^+}$), of the polar electron angle error ($\delta_{\rm cor}^{\theta^+}$), of the hadronic energy error ($\delta_{\rm cor}^{h^+}$), of the error due to noise subtraction ($\delta_{\rm cor}^{N^+}$) and of the error due to background subtraction charge asymmetry ($\delta_{\rm cor}^{S^+}$) are given. The normalisation and polarisation uncertainties are not included in the errors. } \end{table} \clearpage % tables 25 %\input{ncDxDq2e-P0} \begin{table}[htbp] \begin{center} \tiny \begin{tabular}{|r|c|r|r|r|r|r|r|r|r|r|r|r|r|} \hline $Q^2$ & $x$ & $\tilde{\sigma}_{\rm NC}$ & $\delta_{\rm tot}$ & $\delta_{\rm stat}$ & $\delta_{\rm unc}$ & $\delta_{\rm unc}^{E}$ & $\delta_{\rm unc}^{h}$& $\delta_{\rm cor}$ & $\delta_{\rm cor}^{E^+}$ & $\delta_{\rm cor}^{\theta^+}$& $\delta_{\rm cor}^{h^+}$& $\delta_{\rm cor}^{N^+}$& $\delta_{\rm cor}^{B^+}$ \\ $(\rm GeV^2)$ & & & $(\%)$ & $(\%)$ & $(\%)$ & $(\%)$ & $(\%)$ & $(\%)$ & $(\%)$ & $(\%)$ & $(\%)$ & $(\%)$ & $(\%)$ \\ \hline $120$ & $0.0020$ & $1.313$ & $1.61$ & $0.72$ & $0.95$ & $0.49$ & $0.09$ & $1.08$ & $-0.32$ & $-0.63$ & $0.02$ & $0.18$ & $-0.79$ \\ $120$ & $0.0032$ & $1.184$ & $1.72$ & $1.02$ & $1.15$ & $0.77$ & $0.05$ & $0.78$ & $-0.36$ & $-0.64$ & $0.02$ & $0.20$ & $-0.16$ \\ \hline $150$ & $0.0032$ & $1.191$ & $1.34$ & $0.61$ & $0.88$ & $0.41$ & $0.06$ & $0.81$ & $-0.32$ & $-0.59$ & $0.02$ & $0.19$ & $-0.41$ \\ $150$ & $0.0050$ & $1.074$ & $1.69$ & $0.73$ & $1.21$ & $0.90$ & $0.00$ & $0.93$ & $-0.55$ & $-0.74$ & $0.00$ & $0.04$ & $-0.04$ \\ $150$ & $0.0080$ & $0.9242$ & $2.43$ & $1.00$ & $1.81$ & $1.28$ & $0.96$ & $1.28$ & $-0.82$ & $-0.82$ & $-0.28$ & $-0.46$ & $-0.07$ \\ $150$ & $0.0130$ & $0.7884$ & $3.81$ & $1.38$ & $2.98$ & $2.68$ & $0.90$ & $1.93$ & $-1.55$ & $-0.74$ & $-0.30$ & $-0.81$ & $-0.10$ \\ \hline $200$ & $0.0032$ & $1.204$ & $1.60$ & $1.13$ & $0.86$ & $0.14$ & $0.07$ & $0.74$ & $-0.15$ & $-0.51$ & $0.02$ & $0.15$ & $-0.49$ \\ $200$ & $0.0050$ & $1.075$ & $1.45$ & $0.80$ & $0.95$ & $0.52$ & $0.02$ & $0.75$ & $-0.43$ & $-0.60$ & $0.00$ & $0.13$ & $-0.09$ \\ $200$ & $0.0080$ & $0.9355$ & $1.82$ & $0.81$ & $1.34$ & $1.07$ & $0.00$ & $0.93$ & $-0.62$ & $-0.70$ & $0.00$ & $0.00$ & $0.00$ \\ $200$ & $0.0130$ & $0.7699$ & $1.45$ & $0.94$ & $0.83$ & $0.16$ & $0.01$ & $0.73$ & $-0.06$ & $-0.44$ & $-0.04$ & $0.57$ & $-0.01$ \\ $200$ & $0.0200$ & $0.6787$ & $1.63$ & $1.02$ & $1.05$ & $0.63$ & $0.14$ & $0.71$ & $-0.46$ & $-0.41$ & $-0.06$ & $0.34$ & $-0.01$ \\ $200$ & $0.0320$ & $0.5663$ & $2.02$ & $1.16$ & $1.41$ & $0.98$ & $0.53$ & $0.88$ & $-0.53$ & $-0.67$ & $-0.19$ & $0.07$ & $0.00$ \\ $200$ & $0.0500$ & $0.5139$ & $2.74$ & $1.36$ & $1.72$ & $1.46$ & $0.04$ & $1.64$ & $-0.86$ & $-0.69$ & $-0.16$ & $1.20$ & $0.00$ \\ $200$ & $0.0800$ & $0.4301$ & $3.25$ & $1.42$ & $2.17$ & $1.93$ & $0.19$ & $1.96$ & $-1.15$ & $-0.76$ & $-0.09$ & $1.40$ & $-0.01$ \\ $200$ & $0.1300$ & $0.3527$ & $3.22$ & $1.68$ & $2.15$ & $1.35$ & $1.10$ & $1.71$ & $-0.82$ & $-0.98$ & $-0.28$ & $-1.11$ & $0.00$ \\ $200$ & $0.1800$ & $0.3006$ & $4.08$ & $2.27$ & $2.74$ & $1.26$ & $1.90$ & $2.01$ & $-0.87$ & $-1.08$ & $-0.43$ & $-1.40$ & $0.00$ \\ \hline $250$ & $0.0050$ & $1.089$ & $1.41$ & $0.93$ & $0.86$ & $0.33$ & $0.06$ & $0.61$ & $-0.32$ & $-0.40$ & $0.02$ & $0.18$ & $-0.27$ \\ $250$ & $0.0080$ & $0.9371$ & $1.57$ & $0.91$ & $1.00$ & $0.59$ & $0.00$ & $0.79$ & $-0.55$ & $-0.56$ & $0.00$ & $0.03$ & $-0.01$ \\ $250$ & $0.0130$ & $0.7965$ & $1.96$ & $1.00$ & $1.23$ & $0.90$ & $0.20$ & $1.15$ & $0.49$ & $-0.66$ & $0.03$ & $0.80$ & $-0.02$ \\ $250$ & $0.0200$ & $0.6722$ & $1.93$ & $1.03$ & $1.25$ & $0.91$ & $0.23$ & $1.06$ & $0.33$ & $-0.54$ & $0.06$ & $0.85$ & $-0.01$ \\ $250$ & $0.0320$ & $0.5724$ & $2.02$ & $1.08$ & $1.35$ & $1.07$ & $0.10$ & $1.03$ & $0.49$ & $-0.61$ & $-0.09$ & $0.67$ & $0.00$ \\ $250$ & $0.0500$ & $0.4843$ & $2.24$ & $1.23$ & $1.34$ & $1.02$ & $0.11$ & $1.30$ & $0.40$ & $-0.53$ & $-0.09$ & $1.12$ & $0.00$ \\ $250$ & $0.0800$ & $0.4179$ & $2.75$ & $1.26$ & $1.09$ & $0.56$ & $0.26$ & $2.19$ & $0.27$ & $-0.51$ & $-0.03$ & $2.11$ & $0.00$ \\ $250$ & $0.1300$ & $0.3581$ & $2.35$ & $1.28$ & $1.75$ & $1.08$ & $0.68$ & $0.93$ & $0.52$ & $-0.59$ & $-0.22$ & $-0.44$ & $0.00$ \\ $250$ & $0.1800$ & $0.3014$ & $4.00$ & $1.77$ & $2.69$ & $1.69$ & $1.56$ & $2.37$ & $1.05$ & $-0.76$ & $-0.35$ & $-1.95$ & $0.00$ \\ \hline $300$ & $0.0050$ & $1.117$ & $1.92$ & $1.56$ & $0.91$ & $0.19$ & $0.07$ & $0.65$ & $-0.20$ & $-0.48$ & $0.03$ & $0.16$ & $-0.35$ \\ $300$ & $0.0080$ & $0.9592$ & $1.51$ & $1.06$ & $0.86$ & $0.31$ & $0.02$ & $0.64$ & $-0.31$ & $-0.55$ & $0.01$ & $0.10$ & $-0.07$ \\ $300$ & $0.0130$ & $0.7987$ & $1.77$ & $1.06$ & $1.10$ & $0.73$ & $0.00$ & $0.90$ & $-0.72$ & $-0.55$ & $0.00$ & $0.00$ & $0.00$ \\ $300$ & $0.0200$ & $0.6846$ & $1.84$ & $1.18$ & $1.04$ & $0.61$ & $0.16$ & $0.95$ & $0.47$ & $-0.56$ & $0.02$ & $0.61$ & $-0.02$ \\ $300$ & $0.0320$ & $0.5763$ & $1.98$ & $1.24$ & $1.18$ & $0.83$ & $0.04$ & $1.00$ & $0.49$ & $-0.56$ & $-0.05$ & $0.66$ & $0.00$ \\ $300$ & $0.0500$ & $0.4893$ & $2.36$ & $1.35$ & $1.42$ & $1.12$ & $0.16$ & $1.31$ & $0.60$ & $-0.66$ & $-0.08$ & $0.95$ & $0.00$ \\ $300$ & $0.0800$ & $0.4165$ & $2.95$ & $1.43$ & $1.39$ & $1.03$ & $0.24$ & $2.17$ & $0.42$ & $-0.66$ & $-0.05$ & $2.02$ & $-0.01$ \\ $300$ & $0.1300$ & $0.3516$ & $2.58$ & $1.43$ & $1.85$ & $1.34$ & $0.42$ & $1.10$ & $0.68$ & $-0.66$ & $-0.17$ & $0.52$ & $0.00$ \\ $300$ & $0.1800$ & $0.2905$ & $4.57$ & $1.90$ & $3.05$ & $2.16$ & $1.63$ & $2.82$ & $1.34$ & $-0.90$ & $-0.38$ & $-2.28$ & $0.00$ \\ $300$ & $0.4000$ & $0.1454$ & $6.46$ & $2.25$ & $3.50$ & $2.29$ & $1.97$ & $4.94$ & $1.32$ & $-0.95$ & $-0.38$ & $-4.65$ & $0.00$ \\ \hline $400$ & $0.0080$ & $1.009$ & $1.70$ & $1.30$ & $0.91$ & $0.38$ & $0.05$ & $0.60$ & $-0.33$ & $-0.43$ & $0.01$ & $0.15$ & $-0.20$ \\ $400$ & $0.0130$ & $0.8332$ & $1.72$ & $1.25$ & $0.94$ & $0.46$ & $0.00$ & $0.71$ & $-0.45$ & $-0.54$ & $0.00$ & $0.03$ & $-0.02$ \\ $400$ & $0.0200$ & $0.6936$ & $2.07$ & $1.29$ & $1.24$ & $0.92$ & $0.00$ & $1.03$ & $-0.91$ & $-0.49$ & $0.00$ & $0.00$ & $0.00$ \\ $400$ & $0.0320$ & $0.5913$ & $1.90$ & $1.36$ & $0.96$ & $0.47$ & $0.03$ & $0.91$ & $0.46$ & $-0.47$ & $-0.04$ & $0.62$ & $0.00$ \\ $400$ & $0.0500$ & $0.4839$ & $2.04$ & $1.52$ & $1.07$ & $0.51$ & $0.38$ & $0.83$ & $0.50$ & $-0.38$ & $-0.12$ & $0.53$ & $-0.01$ \\ $400$ & $0.0800$ & $0.4096$ & $2.60$ & $1.62$ & $1.00$ & $0.27$ & $0.33$ & $1.77$ & $0.23$ & $-0.34$ & $0.04$ & $1.73$ & $0.00$ \\ $400$ & $0.1300$ & $0.3591$ & $2.44$ & $1.62$ & $1.39$ & $0.67$ & $0.20$ & $1.19$ & $0.59$ & $-0.52$ & $-0.13$ & $0.88$ & $0.00$ \\ $400$ & $0.1800$ & $0.2993$ & $4.20$ & $1.99$ & $2.44$ & $1.08$ & $1.70$ & $2.78$ & $1.01$ & $-0.51$ & $-0.43$ & $-2.50$ & $0.00$ \\ $400$ & $0.4000$ & $0.1440$ & $7.04$ & $2.64$ & $3.23$ & $1.34$ & $2.25$ & $5.68$ & $1.26$ & $-0.66$ & $-0.35$ & $-5.49$ & $0.00$ \\ \hline $500$ & $0.0080$ & $0.9703$ & $2.40$ & $2.15$ & $0.95$ & $0.18$ & $0.07$ & $0.51$ & $-0.23$ & $-0.38$ & $0.02$ & $0.15$ & $-0.19$ \\ $500$ & $0.0130$ & $0.8618$ & $1.87$ & $1.54$ & $0.90$ & $0.33$ & $0.03$ & $0.55$ & $-0.26$ & $-0.48$ & $0.00$ & $0.08$ & $-0.06$ \\ $500$ & $0.0200$ & $0.7087$ & $2.07$ & $1.53$ & $1.11$ & $0.70$ & $0.00$ & $0.83$ & $-0.70$ & $-0.45$ & $0.00$ & $0.00$ & $0.00$ \\ $500$ & $0.0320$ & $0.6061$ & $2.09$ & $1.57$ & $1.03$ & $0.50$ & $0.26$ & $0.92$ & $0.51$ & $-0.37$ & $0.06$ & $0.67$ & $0.00$ \\ $500$ & $0.0500$ & $0.5288$ & $2.18$ & $1.66$ & $1.10$ & $0.62$ & $0.23$ & $0.88$ & $0.63$ & $-0.38$ & $-0.11$ & $0.47$ & $0.00$ \\ $500$ & $0.0800$ & $0.4184$ & $2.64$ & $1.87$ & $1.06$ & $0.52$ & $0.13$ & $1.53$ & $0.52$ & $-0.47$ & $0.01$ & $1.36$ & $0.00$ \\ $500$ & $0.1300$ & $0.3636$ & $2.92$ & $2.17$ & $1.33$ & $0.55$ & $0.05$ & $1.43$ & $0.55$ & $-0.43$ & $-0.07$ & $1.25$ & $0.00$ \\ $500$ & $0.1800$ & $0.3247$ & $3.17$ & $2.34$ & $1.83$ & $0.87$ & $0.86$ & $1.09$ & $0.87$ & $-0.58$ & $-0.30$ & $-0.11$ & $0.00$ \\ $500$ & $0.2500$ & $0.2483$ & $5.10$ & $2.77$ & $2.52$ & $1.06$ & $1.73$ & $3.46$ & $1.06$ & $-0.55$ & $-0.42$ & $-3.22$ & $0.00$ \\ \hline $650$ & $0.0130$ & $0.8722$ & $2.03$ & $1.73$ & $0.96$ & $0.41$ & $0.05$ & $0.45$ & $-0.26$ & $-0.31$ & $0.02$ & $0.14$ & $-0.13$ \\ $650$ & $0.0200$ & $0.7433$ & $2.17$ & $1.79$ & $1.01$ & $0.48$ & $0.01$ & $0.71$ & $-0.49$ & $-0.52$ & $0.00$ & $0.03$ & $-0.01$ \\ $650$ & $0.0320$ & $0.6288$ & $2.51$ & $1.85$ & $1.34$ & $0.98$ & $0.00$ & $1.04$ & $-0.92$ & $-0.50$ & $0.00$ & $0.00$ & $0.00$ \\ $650$ & $0.0500$ & $0.5264$ & $2.40$ & $1.95$ & $1.10$ & $0.60$ & $0.08$ & $0.89$ & $0.68$ & $-0.38$ & $-0.07$ & $0.42$ & $0.00$ \\ $650$ & $0.0800$ & $0.4200$ & $2.73$ & $2.22$ & $1.08$ & $0.47$ & $0.12$ & $1.18$ & $0.52$ & $-0.32$ & $-0.07$ & $1.01$ & $0.00$ \\ $650$ & $0.1300$ & $0.3491$ & $3.25$ & $2.54$ & $1.42$ & $0.63$ & $0.17$ & $1.46$ & $0.66$ & $-0.43$ & $-0.08$ & $1.23$ & $0.00$ \\ $650$ & $0.1800$ & $0.3167$ & $3.22$ & $2.63$ & $1.64$ & $0.74$ & $0.40$ & $0.87$ & $0.76$ & $-0.37$ & $-0.15$ & $0.15$ & $0.00$ \\ $650$ & $0.2500$ & $0.2464$ & $5.05$ & $3.33$ & $2.48$ & $1.20$ & $1.53$ & $2.88$ & $1.17$ & $-0.48$ & $-0.39$ & $-2.56$ & $0.00$ \\ $650$ & $0.4000$ & $0.1183$ & $7.48$ & $5.00$ & $3.52$ & $1.60$ & $2.28$ & $4.29$ & $1.61$ & $-0.72$ & $-0.54$ & $-3.88$ & $0.00$ \\ \hline \end{tabular} \end{center} \caption[RESULT] {\label{tab:ncdxdq2_eleP0} The NC $e^-p$ reduced cross section $\tilde{\sigma}_{\rm NC}(x,Q^2)$ for $P_e=0$ with statistical $(\delta_{\rm stat})$, total $(\delta_{tot})$, total uncorrelated systematic $(\delta_{\rm unc})$ errors, two of its contributions from the electron energy error ($\delta_{unc}^{E}$) and the hadronic energy error ($\delta_{\rm unc}^{h}$). The effect of the other uncorrelated systematic errors is included in $\delta_{\rm unc}$. In addition the correlated systematic $(\delta_{\rm cor})$ and its contributions from a positive variation of one standard deviation of the electron energy error ($\delta_{cor}^{E^+}$), of the polar electron angle error ($\delta_{\rm cor}^{\theta^+}$), of the hadronic energy error ($\delta_{\rm cor}^{h^+}$), of the error due to noise subtraction ($\delta_{\rm cor}^{N^+}$) and of the error due to background subtraction ($\delta_{\rm cor}^{B^+}$) are given. The normalisation and polarisation uncertainties are not included in the errors. The table continues on the next page.} \end{table} \begin{table}[htbp] \begin{center} \tiny \begin{tabular}{|r|c|r|r|r|r|r|r|r|r|r|r|r|r|} \hline $Q^2$ & $x$ & $\tilde{\sigma}_{\rm NC}$ & $\delta_{\rm tot}$ & $\delta_{\rm stat}$ & $\delta_{\rm unc}$ & $\delta_{\rm unc}^{E}$ & $\delta_{\rm unc}^{h}$& $\delta_{\rm cor}$ & $\delta_{\rm cor}^{E^+}$ & $\delta_{\rm cor}^{\theta^+}$& $\delta_{\rm cor}^{h^+}$& $\delta_{\rm cor}^{N^+}$& $\delta_{\rm cor}^{B^+}$ \\ $(\rm GeV^2)$ & & & $(\%)$ & $(\%)$ & $(\%)$ & $(\%)$ & $(\%)$ & $(\%)$ & $(\%)$ & $(\%)$ & $(\%)$ & $(\%)$ & $(\%)$ \\ \hline $800$ & $0.0130$ & $0.8721$ & $3.12$ & $2.91$ & $1.05$ & $0.21$ & $0.08$ & $0.42$ & $0.10$ & $-0.35$ & $0.02$ & $0.18$ & $-0.12$ \\ $800$ & $0.0200$ & $0.7107$ & $2.37$ & $2.09$ & $1.03$ & $0.48$ & $0.02$ & $0.44$ & $-0.27$ & $-0.34$ & $0.00$ & $0.08$ & $-0.05$ \\ $800$ & $0.0320$ & $0.6105$ & $2.67$ & $2.20$ & $1.30$ & $0.88$ & $0.00$ & $0.77$ & $-0.62$ & $-0.47$ & $0.00$ & $0.00$ & $0.00$ \\ $800$ & $0.0500$ & $0.5357$ & $2.57$ & $2.27$ & $1.00$ & $0.24$ & $0.11$ & $0.65$ & $0.41$ & $-0.29$ & $-0.02$ & $0.42$ & $-0.02$ \\ $800$ & $0.0800$ & $0.4131$ & $3.01$ & $2.57$ & $1.12$ & $0.41$ & $0.21$ & $1.08$ & $0.59$ & $-0.45$ & $-0.06$ & $0.78$ & $0.00$ \\ $800$ & $0.1300$ & $0.3417$ & $3.64$ & $3.08$ & $1.38$ & $0.36$ & $0.21$ & $1.37$ & $0.58$ & $-0.38$ & $-0.04$ & $1.19$ & $0.00$ \\ $800$ & $0.1800$ & $0.3115$ & $3.81$ & $3.24$ & $1.75$ & $0.67$ & $0.67$ & $0.97$ & $0.83$ & $-0.40$ & $-0.21$ & $0.19$ & $0.00$ \\ $800$ & $0.2500$ & $0.2344$ & $4.70$ & $3.81$ & $2.10$ & $0.71$ & $1.13$ & $1.78$ & $0.90$ & $-0.33$ & $-0.24$ & $-1.48$ & $0.00$ \\ $800$ & $0.4000$ & $0.1288$ & $8.54$ & $5.03$ & $4.06$ & $1.61$ & $2.94$ & $5.58$ & $1.71$ & $-0.66$ & $-0.79$ & $-5.21$ & $0.00$ \\ \hline $1000$ & $0.0130$ & $0.8320$ & $3.50$ & $2.87$ & $1.54$ & $0.27$ & $0.22$ & $1.26$ & $-0.03$ & $-0.20$ & $0.05$ & $0.18$ & $-1.23$ \\ $1000$ & $0.0200$ & $0.7428$ & $2.64$ & $2.42$ & $0.98$ & $0.33$ & $0.05$ & $0.44$ & $-0.19$ & $-0.37$ & $0.01$ & $0.11$ & $-0.11$ \\ $1000$ & $0.0320$ & $0.6432$ & $2.70$ & $2.42$ & $1.08$ & $0.57$ & $0.00$ & $0.53$ & $-0.29$ & $-0.44$ & $0.00$ & $0.01$ & $0.00$ \\ $1000$ & $0.0500$ & $0.4971$ & $3.14$ & $2.63$ & $1.45$ & $1.09$ & $0.00$ & $0.92$ & $-0.64$ & $-0.66$ & $0.00$ & $0.00$ & $0.00$ \\ $1000$ & $0.0800$ & $0.4223$ & $3.16$ & $2.87$ & $1.02$ & $0.21$ & $0.17$ & $0.83$ & $0.25$ & $-0.26$ & $0.07$ & $0.75$ & $0.00$ \\ $1000$ & $0.1300$ & $0.3452$ & $3.90$ & $3.41$ & $1.35$ & $0.26$ & $0.23$ & $1.32$ & $0.41$ & $-0.31$ & $-0.12$ & $1.20$ & $0.00$ \\ $1000$ & $0.1800$ & $0.3367$ & $3.87$ & $3.38$ & $1.67$ & $0.65$ & $0.55$ & $0.85$ & $0.63$ & $-0.40$ & $-0.21$ & $0.35$ & $0.00$ \\ $1000$ & $0.2500$ & $0.2619$ & $4.54$ & $3.80$ & $2.03$ & $0.82$ & $0.97$ & $1.44$ & $0.93$ & $-0.38$ & $-0.31$ & $-0.97$ & $0.00$ \\ $1000$ & $0.4000$ & $0.1253$ & $8.71$ & $5.47$ & $4.20$ & $1.96$ & $2.99$ & $5.31$ & $1.61$ & $-0.53$ & $-0.61$ & $-4.99$ & $0.00$ \\ \hline $1200$ & $0.0130$ & $0.8623$ & $5.36$ & $4.65$ & $2.03$ & $0.09$ & $0.25$ & $1.73$ & $0.23$ & $0.15$ & $0.05$ & $0.20$ & $-1.70$ \\ $1200$ & $0.0200$ & $0.7572$ & $3.22$ & $2.99$ & $1.11$ & $0.17$ & $0.08$ & $0.43$ & $-0.11$ & $-0.28$ & $0.02$ & $0.11$ & $-0.29$ \\ $1200$ & $0.0320$ & $0.6579$ & $2.94$ & $2.74$ & $0.94$ & $0.36$ & $0.02$ & $0.52$ & $-0.27$ & $-0.45$ & $0.00$ & $0.06$ & $-0.01$ \\ $1200$ & $0.0500$ & $0.5236$ & $3.19$ & $2.90$ & $1.19$ & $0.80$ & $0.00$ & $0.60$ & $-0.42$ & $-0.43$ & $0.00$ & $0.00$ & $0.00$ \\ $1200$ & $0.0800$ & $0.4463$ & $3.45$ & $3.10$ & $1.31$ & $0.93$ & $0.20$ & $0.79$ & $0.59$ & $-0.27$ & $-0.13$ & $0.42$ & $0.00$ \\ $1200$ & $0.1300$ & $0.3428$ & $4.64$ & $4.31$ & $1.44$ & $0.75$ & $0.06$ & $0.95$ & $0.48$ & $-0.17$ & $-0.03$ & $0.80$ & $0.00$ \\ $1200$ & $0.1800$ & $0.3026$ & $4.39$ & $3.97$ & $1.69$ & $0.93$ & $0.38$ & $0.80$ & $0.61$ & $-0.28$ & $-0.14$ & $0.41$ & $0.00$ \\ $1200$ & $0.2500$ & $0.2140$ & $5.10$ & $4.63$ & $1.99$ & $1.15$ & $0.69$ & $0.83$ & $0.75$ & $-0.28$ & $-0.19$ & $-0.17$ & $0.00$ \\ $1200$ & $0.4000$ & $0.1249$ & $8.54$ & $5.78$ & $4.29$ & $2.60$ & $2.69$ & $4.59$ & $1.67$ & $-0.33$ & $-0.69$ & $-4.20$ & $0.00$ \\ \hline $1500$ & $0.0200$ & $0.7724$ & $4.08$ & $3.59$ & $1.66$ & $0.10$ & $0.16$ & $0.99$ & $0.14$ & $-0.27$ & $0.03$ & $0.15$ & $-0.93$ \\ $1500$ & $0.0320$ & $0.6540$ & $3.57$ & $3.40$ & $1.01$ & $0.35$ & $0.05$ & $0.47$ & $-0.36$ & $-0.27$ & $0.01$ & $0.12$ & $-0.05$ \\ $1500$ & $0.0500$ & $0.5406$ & $3.60$ & $3.34$ & $1.21$ & $0.79$ & $0.00$ & $0.57$ & $-0.39$ & $-0.42$ & $0.00$ & $0.01$ & $0.00$ \\ $1500$ & $0.0800$ & $0.4800$ & $3.66$ & $3.42$ & $1.16$ & $0.68$ & $0.09$ & $0.65$ & $0.39$ & $-0.17$ & $0.00$ & $0.48$ & $0.00$ \\ $1500$ & $0.1300$ & $0.3415$ & $5.10$ & $4.77$ & $1.57$ & $0.91$ & $0.17$ & $0.87$ & $0.63$ & $-0.22$ & $-0.07$ & $0.55$ & $0.00$ \\ $1500$ & $0.1800$ & $0.2914$ & $5.06$ & $4.62$ & $1.80$ & $1.12$ & $0.22$ & $1.00$ & $0.63$ & $-0.18$ & $-0.13$ & $0.74$ & $0.00$ \\ $1500$ & $0.2500$ & $0.2344$ & $5.50$ & $4.96$ & $2.20$ & $1.35$ & $0.89$ & $0.88$ & $0.72$ & $-0.15$ & $-0.22$ & $-0.43$ & $0.00$ \\ $1500$ & $0.4000$ & $0.1208$ & $9.06$ & $7.42$ & $3.87$ & $2.32$ & $2.23$ & $3.45$ & $1.43$ & $-0.33$ & $-0.59$ & $-3.06$ & $0.00$ \\ $1500$ & $0.6500$ & $0.01387$ & $18.01$ & $12.53$ & $6.95$ & $4.57$ & $4.52$ & $10.90$ & $3.07$ & $-0.44$ & $-0.97$ & $-10.41$ & $0.00$ \\ \hline $2000$ & $0.0219$ & $0.8405$ & $6.23$ & $5.59$ & $2.19$ & $0.25$ & $0.19$ & $1.66$ & $0.16$ & $-0.20$ & $0.04$ & $0.20$ & $-1.63$ \\ $2000$ & $0.0320$ & $0.6258$ & $4.32$ & $4.06$ & $1.41$ & $0.20$ & $0.10$ & $0.47$ & $-0.10$ & $-0.39$ & $0.03$ & $0.14$ & $-0.21$ \\ $2000$ & $0.0500$ & $0.5298$ & $4.26$ & $4.10$ & $1.08$ & $0.45$ & $0.02$ & $0.43$ & $-0.30$ & $-0.31$ & $0.01$ & $0.04$ & $-0.02$ \\ $2000$ & $0.0800$ & $0.4349$ & $4.41$ & $4.15$ & $1.31$ & $0.80$ & $0.00$ & $0.71$ & $-0.55$ & $-0.45$ & $0.00$ & $0.00$ & $0.00$ \\ $2000$ & $0.1300$ & $0.3449$ & $5.37$ & $5.09$ & $1.53$ & $0.72$ & $0.11$ & $0.80$ & $0.39$ & $-0.22$ & $0.07$ & $0.65$ & $0.00$ \\ $2000$ & $0.1800$ & $0.2915$ & $5.89$ & $5.43$ & $2.06$ & $1.43$ & $0.29$ & $0.98$ & $0.80$ & $-0.26$ & $-0.13$ & $0.50$ & $0.00$ \\ $2000$ & $0.2500$ & $0.2398$ & $6.07$ & $5.62$ & $2.14$ & $1.33$ & $0.64$ & $0.86$ & $0.76$ & $-0.28$ & $-0.18$ & $-0.22$ & $0.00$ \\ $2000$ & $0.4000$ & $0.1221$ & $8.46$ & $7.14$ & $3.63$ & $2.22$ & $1.84$ & $2.75$ & $1.33$ & $-0.11$ & $-0.51$ & $-2.35$ & $0.00$ \\ $2000$ & $0.6500$ & $0.009670$ & $21.36$ & $16.95$ & $7.85$ & $5.10$ & $5.25$ & $10.35$ & $2.65$ & $-0.48$ & $-1.07$ & $-9.94$ & $0.00$ \\ \hline $3000$ & $0.0320$ & $0.7040$ & $4.25$ & $3.80$ & $1.74$ & $0.18$ & $0.11$ & $0.74$ & $-0.12$ & $-0.29$ & $0.02$ & $0.11$ & $-0.66$ \\ $3000$ & $0.0500$ & $0.5792$ & $3.61$ & $3.33$ & $1.34$ & $0.18$ & $0.06$ & $0.37$ & $-0.09$ & $-0.34$ & $0.02$ & $0.08$ & $-0.06$ \\ $3000$ & $0.0800$ & $0.4805$ & $3.88$ & $3.65$ & $1.23$ & $0.50$ & $0.00$ & $0.51$ & $-0.31$ & $-0.40$ & $0.00$ & $0.01$ & $0.00$ \\ $3000$ & $0.1300$ & $0.3877$ & $4.75$ & $4.41$ & $1.63$ & $0.86$ & $0.00$ & $0.62$ & $-0.50$ & $-0.36$ & $0.00$ & $0.00$ & $0.00$ \\ $3000$ & $0.1800$ & $0.2895$ & $5.45$ & $5.07$ & $1.81$ & $1.09$ & $0.19$ & $0.84$ & $0.62$ & $-0.11$ & $-0.07$ & $0.56$ & $0.00$ \\ $3000$ & $0.2500$ & $0.2321$ & $5.69$ & $5.21$ & $2.11$ & $1.42$ & $0.39$ & $0.91$ & $0.86$ & $-0.07$ & $-0.12$ & $0.26$ & $0.00$ \\ $3000$ & $0.4000$ & $0.1124$ & $7.82$ & $6.48$ & $3.76$ & $2.58$ & $1.70$ & $2.23$ & $1.58$ & $-0.18$ & $-0.42$ & $-1.51$ & $0.00$ \\ $3000$ & $0.6500$ & $0.01050$ & $17.55$ & $13.52$ & $7.22$ & $4.58$ & $4.93$ & $8.56$ & $2.79$ & $-0.21$ & $-1.37$ & $-7.97$ & $0.00$ \\ \hline $5000$ & $0.0547$ & $0.6174$ & $5.46$ & $5.07$ & $1.90$ & $0.12$ & $0.13$ & $0.69$ & $0.05$ & $-0.36$ & $0.03$ & $0.13$ & $-0.57$ \\ $5000$ & $0.0800$ & $0.5100$ & $4.26$ & $3.98$ & $1.50$ & $0.19$ & $0.05$ & $0.36$ & $-0.20$ & $-0.28$ & $0.01$ & $0.07$ & $-0.11$ \\ $5000$ & $0.1300$ & $0.4498$ & $4.79$ & $4.46$ & $1.70$ & $0.28$ & $0.01$ & $0.45$ & $0.24$ & $-0.38$ & $0.00$ & $0.01$ & $-0.01$ \\ $5000$ & $0.1800$ & $0.3628$ & $5.45$ & $5.15$ & $1.75$ & $0.27$ & $0.00$ & $0.38$ & $-0.17$ & $-0.34$ & $0.00$ & $0.00$ & $0.00$ \\ $5000$ & $0.2500$ & $0.2268$ & $8.07$ & $7.73$ & $2.19$ & $1.11$ & $0.00$ & $0.82$ & $0.81$ & $-0.12$ & $0.00$ & $0.00$ & $0.00$ \\ $5000$ & $0.4000$ & $0.1141$ & $8.67$ & $7.82$ & $3.34$ & $1.88$ & $1.42$ & $1.66$ & $1.31$ & $-0.04$ & $-0.46$ & $-0.90$ & $0.00$ \\ $5000$ & $0.6500$ & $0.01375$ & $16.53$ & $13.90$ & $6.85$ & $4.13$ & $4.61$ & $5.75$ & $2.45$ & $0.20$ & $-1.16$ & $-5.07$ & $0.00$ \\ \hline $8000$ & $0.0875$ & $0.6162$ & $7.97$ & $7.49$ & $2.49$ & $0.39$ & $0.09$ & $1.09$ & $0.22$ & $-0.35$ & $0.02$ & $0.11$ & $-1.00$ \\ $8000$ & $0.1300$ & $0.5010$ & $6.40$ & $5.98$ & $2.23$ & $0.28$ & $0.03$ & $0.43$ & $-0.19$ & $-0.29$ & $0.01$ & $0.06$ & $-0.25$ \\ $8000$ & $0.1800$ & $0.3708$ & $6.96$ & $6.61$ & $2.14$ & $0.16$ & $0.02$ & $0.36$ & $-0.05$ & $-0.36$ & $0.01$ & $0.02$ & $0.00$ \\ $8000$ & $0.2500$ & $0.2533$ & $8.02$ & $7.62$ & $2.46$ & $1.04$ & $0.00$ & $0.52$ & $0.52$ & $0.03$ & $0.00$ & $0.00$ & $0.00$ \\ $8000$ & $0.4000$ & $0.1138$ & $11.63$ & $10.50$ & $4.51$ & $3.51$ & $0.00$ & $2.16$ & $2.09$ & $0.53$ & $0.00$ & $0.00$ & $0.00$ \\ $8000$ & $0.6500$ & $0.01193$ & $18.53$ & $16.94$ & $6.54$ & $4.19$ & $3.75$ & $3.66$ & $2.39$ & $0.23$ & $-0.87$ & $-2.63$ & $0.00$ \\ \hline $12000$ & $0.1300$ & $0.6999$ & $13.48$ & $12.90$ & $3.66$ & $0.51$ & $0.13$ & $1.42$ & $0.34$ & $-0.30$ & $0.04$ & $0.12$ & $-1.34$ \\ $12000$ & $0.1800$ & $0.4797$ & $8.61$ & $8.32$ & $2.20$ & $0.17$ & $0.08$ & $0.38$ & $-0.03$ & $-0.31$ & $0.03$ & $0.10$ & $-0.19$ \\ $12000$ & $0.2500$ & $0.3018$ & $9.61$ & $9.27$ & $2.47$ & $1.05$ & $0.02$ & $0.50$ & $0.48$ & $-0.13$ & $0.01$ & $0.03$ & $0.00$ \\ $12000$ & $0.4000$ & $0.1878$ & $11.98$ & $10.80$ & $4.89$ & $4.02$ & $0.00$ & $1.79$ & $1.68$ & $0.60$ & $0.00$ & $0.00$ & $0.00$ \\ $12000$ & $0.6500$ & $0.01352$ & $24.68$ & $23.62$ & $6.34$ & $4.68$ & $3.06$ & $3.31$ & $2.56$ & $0.45$ & $-0.84$ & $-1.86$ & $0.00$ \\ \hline $20000$ & $0.2500$ & $0.4615$ & $12.77$ & $12.42$ & $2.81$ & $1.17$ & $0.08$ & $0.93$ & $0.43$ & $-0.17$ & $0.03$ & $0.06$ & $-0.81$ \\ $20000$ & $0.4000$ & $0.2125$ & $14.46$ & $13.68$ & $4.57$ & $3.59$ & $0.03$ & $1.03$ & $1.02$ & $0.12$ & $0.01$ & $0.03$ & $-0.11$ \\ $20000$ & $0.6500$ & $0.01647$ & $39.16$ & $35.42$ & $15.88$ & $15.54$ & $0.00$ & $5.20$ & $4.46$ & $2.67$ & $0.00$ & $0.00$ & $0.00$ \\ \hline $30000$ & $0.4000$ & $0.1903$ & $28.38$ & $27.72$ & $5.74$ & $3.39$ & $0.14$ & $2.13$ & $1.05$ & $-0.25$ & $0.03$ & $0.09$ & $-1.83$ \\ $30000$ & $0.6500$ & $0.03988$ & $33.85$ & $31.66$ & $11.35$ & $10.79$ & $0.00$ & $3.90$ & $3.42$ & $1.86$ & $0.00$ & $0.01$ & $0.00$ \\ \hline $50000$ & $0.6500$ & $0.07518$ & $58.83$ & $57.79$ & $10.56$ & $8.88$ & $0.00$ & $3.06$ & $2.83$ & $1.17$ & $0.00$ & $0.00$ & $0.00$ \\ \hline \end{tabular} \end{center} %\caption{Continued from table~\ref{tab:ncdxdq2_eleP0}.} \captcont{continued.} \end{table} % tables 26 %\input{ncDxDq2e+P0} \begin{table}[htbp] \begin{center} \tiny \begin{tabular}{|r|c|r|r|r|r|r|r|r|r|r|r|r|r|} \hline $Q^2$ & $x$ & $\tilde{\sigma}_{\rm NC}$ & $\delta_{\rm tot}$ & $\delta_{\rm stat}$ & $\delta_{\rm unc}$ & $\delta_{\rm unc}^{E}$ & $\delta_{\rm unc}^{h}$& $\delta_{\rm cor}$ & $\delta_{\rm cor}^{E^+}$ & $\delta_{\rm cor}^{\theta^+}$& $\delta_{\rm cor}^{h^+}$& $\delta_{\rm cor}^{N^+}$& $\delta_{\rm cor}^{B^+}$ \\ $(\rm GeV^2)$ & & & $(\%)$ & $(\%)$ & $(\%)$ & $(\%)$ & $(\%)$ & $(\%)$ & $(\%)$ & $(\%)$ & $(\%)$ & $(\%)$ & $(\%)$ \\ \hline $120$ & $0.0020$ & $1.334$ & $1.49$ & $0.65$ & $0.80$ & $0.43$ & $0.09$ & $1.08$ & $-0.26$ & $-0.65$ & $0.02$ & $0.18$ & $-0.80$ \\ $120$ & $0.0032$ & $1.194$ & $1.63$ & $0.94$ & $1.03$ & $0.73$ & $0.03$ & $0.84$ & $-0.46$ & $-0.67$ & $0.01$ & $0.18$ & $-0.10$ \\ \hline $150$ & $0.0032$ & $1.211$ & $1.25$ & $0.55$ & $0.80$ & $0.49$ & $0.06$ & $0.78$ & $-0.36$ & $-0.53$ & $0.01$ & $0.18$ & $-0.41$ \\ $150$ & $0.0050$ & $1.075$ & $1.53$ & $0.66$ & $1.09$ & $0.87$ & $0.00$ & $0.84$ & $-0.53$ & $-0.65$ & $0.00$ & $0.04$ & $-0.03$ \\ $150$ & $0.0080$ & $0.9323$ & $2.44$ & $0.91$ & $1.89$ & $1.53$ & $0.85$ & $1.25$ & $-1.00$ & $-0.56$ & $-0.24$ & $-0.44$ & $-0.05$ \\ $150$ & $0.0130$ & $0.7854$ & $3.75$ & $1.28$ & $2.72$ & $2.39$ & $1.01$ & $2.25$ & $-1.45$ & $-1.37$ & $-0.37$ & $-0.97$ & $-0.01$ \\ \hline $200$ & $0.0032$ & $1.218$ & $1.55$ & $1.04$ & $0.74$ & $0.13$ & $0.08$ & $0.88$ & $-0.11$ & $-0.63$ & $0.02$ & $0.18$ & $-0.58$ \\ $200$ & $0.0050$ & $1.085$ & $1.33$ & $0.72$ & $0.84$ & $0.53$ & $0.03$ & $0.74$ & $-0.40$ & $-0.61$ & $0.01$ & $0.12$ & $-0.07$ \\ $200$ & $0.0080$ & $0.9394$ & $1.75$ & $0.73$ & $1.24$ & $1.05$ & $0.00$ & $0.99$ & $-0.59$ & $-0.80$ & $0.00$ & $0.00$ & $-0.01$ \\ $200$ & $0.0130$ & $0.7867$ & $1.30$ & $0.83$ & $0.68$ & $0.02$ & $0.02$ & $0.73$ & $-0.09$ & $-0.40$ & $-0.03$ & $0.60$ & $-0.01$ \\ $200$ & $0.0200$ & $0.6805$ & $1.55$ & $0.91$ & $1.00$ & $0.72$ & $0.02$ & $0.75$ & $-0.41$ & $-0.49$ & $-0.09$ & $0.38$ & $-0.01$ \\ $200$ & $0.0320$ & $0.5756$ & $1.91$ & $1.05$ & $1.34$ & $0.99$ & $0.54$ & $0.85$ & $-0.61$ & $-0.55$ & $-0.17$ & $0.13$ & $0.00$ \\ $200$ & $0.0500$ & $0.5051$ & $2.79$ & $1.20$ & $1.83$ & $1.66$ & $0.04$ & $1.73$ & $-1.05$ & $-0.80$ & $-0.08$ & $1.11$ & $0.00$ \\ $200$ & $0.0800$ & $0.4300$ & $3.12$ & $1.32$ & $2.00$ & $1.80$ & $0.17$ & $1.99$ & $-1.18$ & $-0.74$ & $-0.15$ & $1.41$ & $0.00$ \\ $200$ & $0.1300$ & $0.3560$ & $3.20$ & $1.48$ & $2.25$ & $1.67$ & $0.96$ & $1.73$ & $-0.97$ & $-0.90$ & $-0.27$ & $-1.08$ & $0.00$ \\ $200$ & $0.1800$ & $0.3085$ & $4.00$ & $1.99$ & $2.88$ & $1.61$ & $1.90$ & $1.94$ & $-0.88$ & $-1.04$ & $-0.34$ & $-1.34$ & $0.00$ \\ \hline $250$ & $0.0050$ & $1.103$ & $1.27$ & $0.84$ & $0.72$ & $0.29$ & $0.06$ & $0.63$ & $-0.28$ & $-0.45$ & $0.01$ & $0.16$ & $-0.30$ \\ $250$ & $0.0080$ & $0.9437$ & $1.43$ & $0.82$ & $0.91$ & $0.61$ & $0.00$ & $0.73$ & $-0.53$ & $-0.50$ & $0.00$ & $0.03$ & $-0.02$ \\ $250$ & $0.0130$ & $0.7952$ & $1.83$ & $0.92$ & $1.15$ & $0.91$ & $0.21$ & $1.09$ & $0.48$ & $-0.60$ & $0.03$ & $0.77$ & $-0.02$ \\ $250$ & $0.0200$ & $0.6829$ & $1.92$ & $0.93$ & $1.29$ & $1.07$ & $0.19$ & $1.07$ & $0.49$ & $-0.66$ & $-0.02$ & $0.68$ & $-0.01$ \\ $250$ & $0.0320$ & $0.5697$ & $1.82$ & $0.98$ & $1.14$ & $0.90$ & $0.04$ & $1.03$ & $0.36$ & $-0.48$ & $0.01$ & $0.83$ & $0.00$ \\ $250$ & $0.0500$ & $0.4946$ & $2.21$ & $1.07$ & $1.15$ & $0.89$ & $0.10$ & $1.55$ & $0.39$ & $-0.57$ & $-0.09$ & $1.39$ & $0.00$ \\ $250$ & $0.0800$ & $0.4294$ & $2.67$ & $1.11$ & $0.98$ & $0.56$ & $0.20$ & $2.22$ & $0.31$ & $-0.51$ & $-0.05$ & $2.14$ & $0.00$ \\ $250$ & $0.1300$ & $0.3623$ & $2.31$ & $1.20$ & $1.72$ & $1.13$ & $0.68$ & $0.98$ & $0.51$ & $-0.57$ & $-0.23$ & $-0.56$ & $0.00$ \\ $250$ & $0.1800$ & $0.2930$ & $3.91$ & $1.62$ & $2.71$ & $1.73$ & $1.61$ & $2.31$ & $1.03$ & $-0.78$ & $-0.34$ & $-1.88$ & $0.00$ \\ \hline $300$ & $0.0050$ & $1.115$ & $1.79$ & $1.44$ & $0.81$ & $0.28$ & $0.07$ & $0.68$ & $-0.28$ & $-0.37$ & $0.02$ & $0.15$ & $-0.48$ \\ $300$ & $0.0080$ & $0.9575$ & $1.38$ & $0.96$ & $0.73$ & $0.30$ & $0.02$ & $0.67$ & $-0.30$ & $-0.59$ & $0.00$ & $0.10$ & $-0.05$ \\ $300$ & $0.0130$ & $0.7917$ & $1.59$ & $0.97$ & $0.93$ & $0.63$ & $0.00$ & $0.84$ & $-0.62$ & $-0.57$ & $0.00$ & $0.00$ & $-0.01$ \\ $300$ & $0.0200$ & $0.6989$ & $1.63$ & $1.07$ & $0.88$ & $0.53$ & $0.12$ & $0.86$ & $0.36$ & $-0.46$ & $-0.01$ & $0.64$ & $-0.02$ \\ $300$ & $0.0320$ & $0.5730$ & $1.83$ & $1.13$ & $1.09$ & $0.83$ & $0.09$ & $0.95$ & $0.43$ & $-0.55$ & $-0.02$ & $0.64$ & $-0.01$ \\ $300$ & $0.0500$ & $0.4888$ & $2.15$ & $1.23$ & $1.23$ & $0.98$ & $0.14$ & $1.26$ & $0.49$ & $-0.54$ & $-0.05$ & $1.03$ & $0.00$ \\ $300$ & $0.0800$ & $0.4330$ & $2.92$ & $1.26$ & $1.37$ & $1.08$ & $0.30$ & $2.25$ & $0.51$ & $-0.69$ & $-0.06$ & $2.08$ & $-0.01$ \\ $300$ & $0.1300$ & $0.3646$ & $2.58$ & $1.30$ & $1.86$ & $1.40$ & $0.51$ & $1.23$ & $0.68$ & $-0.73$ & $-0.20$ & $0.69$ & $0.00$ \\ $300$ & $0.1800$ & $0.3022$ & $4.42$ & $1.68$ & $2.89$ & $2.01$ & $1.61$ & $2.89$ & $1.07$ & $-0.68$ & $-0.30$ & $-2.58$ & $0.00$ \\ $300$ & $0.4000$ & $0.1479$ & $6.45$ & $2.13$ & $3.67$ & $2.40$ & $2.17$ & $4.86$ & $1.34$ & $-1.02$ & $-0.45$ & $-4.53$ & $0.00$ \\ \hline $400$ & $0.0080$ & $0.9823$ & $1.51$ & $1.19$ & $0.74$ & $0.26$ & $0.06$ & $0.58$ & $-0.27$ & $-0.44$ & $0.01$ & $0.14$ & $-0.22$ \\ $400$ & $0.0130$ & $0.8346$ & $1.54$ & $1.12$ & $0.82$ & $0.45$ & $0.01$ & $0.67$ & $-0.45$ & $-0.49$ & $0.00$ & $0.03$ & $-0.01$ \\ $400$ & $0.0200$ & $0.6979$ & $1.92$ & $1.17$ & $1.11$ & $0.86$ & $0.00$ & $1.04$ & $-0.86$ & $-0.58$ & $0.00$ & $0.00$ & $0.00$ \\ $400$ & $0.0320$ & $0.5861$ & $1.81$ & $1.26$ & $0.88$ & $0.49$ & $0.15$ & $0.95$ & $0.48$ & $-0.48$ & $-0.03$ & $0.66$ & $-0.01$ \\ $400$ & $0.0500$ & $0.4898$ & $1.99$ & $1.38$ & $1.04$ & $0.67$ & $0.32$ & $0.99$ & $0.64$ & $-0.49$ & $-0.09$ & $0.57$ & $0.00$ \\ $400$ & $0.0800$ & $0.4217$ & $2.63$ & $1.46$ & $0.90$ & $0.25$ & $0.38$ & $1.99$ & $0.22$ & $-0.30$ & $-0.02$ & $1.96$ & $0.00$ \\ $400$ & $0.1300$ & $0.3518$ & $2.27$ & $1.43$ & $1.35$ & $0.64$ & $0.40$ & $1.14$ & $0.59$ & $-0.47$ & $-0.16$ & $0.85$ & $0.00$ \\ $400$ & $0.1800$ & $0.3007$ & $4.28$ & $1.86$ & $2.40$ & $1.11$ & $1.68$ & $3.02$ & $1.04$ & $-0.56$ & $-0.38$ & $-2.75$ & $0.00$ \\ $400$ & $0.4000$ & $0.1464$ & $6.80$ & $2.35$ & $3.22$ & $1.37$ & $2.28$ & $5.51$ & $1.28$ & $-0.78$ & $-0.46$ & $-5.28$ & $0.00$ \\ \hline $500$ & $0.0080$ & $0.9650$ & $2.24$ & $1.98$ & $0.87$ & $0.31$ & $0.09$ & $0.57$ & $-0.15$ & $-0.42$ & $0.01$ & $0.16$ & $-0.32$ \\ $500$ & $0.0130$ & $0.8515$ & $1.67$ & $1.39$ & $0.76$ & $0.29$ & $0.02$ & $0.52$ & $-0.24$ & $-0.46$ & $0.01$ & $0.09$ & $-0.04$ \\ $500$ & $0.0200$ & $0.7287$ & $1.90$ & $1.40$ & $0.97$ & $0.65$ & $0.00$ & $0.83$ & $-0.64$ & $-0.54$ & $0.00$ & $0.00$ & $0.00$ \\ $500$ & $0.0320$ & $0.5984$ & $1.96$ & $1.48$ & $0.91$ & $0.41$ & $0.36$ & $0.90$ & $0.42$ & $-0.37$ & $0.07$ & $0.70$ & $-0.01$ \\ $500$ & $0.0500$ & $0.5193$ & $2.10$ & $1.53$ & $1.06$ & $0.68$ & $0.30$ & $0.97$ & $0.68$ & $-0.49$ & $-0.16$ & $0.46$ & $0.00$ \\ $500$ & $0.0800$ & $0.4325$ & $2.49$ & $1.65$ & $0.90$ & $0.34$ & $0.28$ & $1.63$ & $0.34$ & $-0.33$ & $0.06$ & $1.56$ & $0.00$ \\ $500$ & $0.1300$ & $0.3780$ & $2.83$ & $1.90$ & $1.30$ & $0.65$ & $0.04$ & $1.65$ & $0.65$ & $-0.53$ & $-0.07$ & $1.41$ & $0.00$ \\ $500$ & $0.1800$ & $0.3072$ & $2.91$ & $2.13$ & $1.73$ & $0.78$ & $0.86$ & $0.96$ & $0.78$ & $-0.42$ & $-0.22$ & $-0.30$ & $0.00$ \\ $500$ & $0.2500$ & $0.2451$ & $5.72$ & $2.63$ & $2.76$ & $1.22$ & $2.02$ & $4.27$ & $1.22$ & $-0.55$ & $-0.42$ & $-4.03$ & $0.00$ \\ \hline $650$ & $0.0130$ & $0.8403$ & $1.81$ & $1.58$ & $0.76$ & $0.18$ & $0.05$ & $0.43$ & $-0.16$ & $-0.37$ & $0.01$ & $0.12$ & $-0.11$ \\ $650$ & $0.0200$ & $0.7202$ & $2.02$ & $1.65$ & $0.95$ & $0.58$ & $0.00$ & $0.67$ & $-0.41$ & $-0.53$ & $0.00$ & $0.02$ & $-0.02$ \\ $650$ & $0.0320$ & $0.6338$ & $2.30$ & $1.70$ & $1.17$ & $0.87$ & $0.00$ & $1.01$ & $-0.82$ & $-0.58$ & $0.00$ & $0.00$ & $0.00$ \\ $650$ & $0.0500$ & $0.5105$ & $2.26$ & $1.80$ & $1.02$ & $0.63$ & $0.11$ & $0.92$ & $0.69$ & $-0.35$ & $0.06$ & $0.49$ & $0.00$ \\ $650$ & $0.0800$ & $0.4128$ & $2.67$ & $2.01$ & $0.97$ & $0.48$ & $0.11$ & $1.46$ & $0.50$ & $-0.50$ & $0.06$ & $1.28$ & $0.00$ \\ $650$ & $0.1300$ & $0.3681$ & $3.08$ & $2.31$ & $1.31$ & $0.59$ & $0.05$ & $1.57$ & $0.64$ & $-0.21$ & $-0.10$ & $1.41$ & $0.00$ \\ $650$ & $0.1800$ & $0.3309$ & $2.94$ & $2.33$ & $1.56$ & $0.64$ & $0.50$ & $0.89$ & $0.66$ & $-0.46$ & $-0.25$ & $0.28$ & $0.00$ \\ $650$ & $0.2500$ & $0.2360$ & $5.10$ & $2.97$ & $2.51$ & $1.30$ & $1.58$ & $3.29$ & $1.32$ & $-0.55$ & $-0.38$ & $-2.93$ & $0.00$ \\ $650$ & $0.4000$ & $0.1328$ & $7.39$ & $4.22$ & $3.65$ & $1.44$ & $2.61$ & $4.84$ & $1.46$ & $-0.58$ & $-0.59$ & $-4.54$ & $0.00$ \\ \hline \end{tabular} \end{center} \caption[RESULT] {\label{tab:ncdxdq2_posP0} The NC $e^+p$ reduced cross section $\tilde{\sigma}_{\rm NC}(x,Q^2)$ for $P_e=0$ with statistical $(\delta_{\rm stat})$, total $(\delta_{tot})$, total uncorrelated systematic $(\delta_{\rm unc})$ errors, two of its contributions from the electron energy error ($\delta_{unc}^{E}$) and the hadronic energy error ($\delta_{\rm unc}^{h}$). The effect of the other uncorrelated systematic errors is included in $\delta_{\rm unc}$. In addition the correlated systematic $(\delta_{\rm cor})$ and its contributions from a positive variation of one standard deviation of the electron energy error ($\delta_{cor}^{E^+}$), of the polar electron angle error ($\delta_{\rm cor}^{\theta^+}$), of the hadronic energy error ($\delta_{\rm cor}^{h^+}$), of the error due to noise subtraction ($\delta_{\rm cor}^{N^+}$) and of the error due to background subtraction ($\delta_{\rm cor}^{B^+}$) are given. The normalisation and polarisation uncertainties are not included in the errors. The table continues on the next page.} \end{table} \begin{table}[htbp] \begin{center} \tiny \begin{tabular}{|r|c|r|r|r|r|r|r|r|r|r|r|r|r|} \hline $Q^2$ & $x$ & $\tilde{\sigma}_{\rm NC}$ & $\delta_{\rm tot}$ & $\delta_{\rm stat}$ & $\delta_{\rm unc}$ & $\delta_{\rm unc}^{E}$ & $\delta_{\rm unc}^{h}$& $\delta_{\rm cor}$ & $\delta_{\rm cor}^{E^+}$ & $\delta_{\rm cor}^{\theta^+}$& $\delta_{\rm cor}^{h^+}$& $\delta_{\rm cor}^{N^+}$& $\delta_{\rm cor}^{B^+}$ \\ $(\rm GeV^2)$ & & & $(\%)$ & $(\%)$ & $(\%)$ & $(\%)$ & $(\%)$ & $(\%)$ & $(\%)$ & $(\%)$ & $(\%)$ & $(\%)$ & $(\%)$ \\ \hline $800$ & $0.0130$ & $0.8056$ & $2.83$ & $2.60$ & $0.96$ & $0.17$ & $0.08$ & $0.53$ & $-0.29$ & $-0.36$ & $0.03$ & $0.14$ & $-0.21$ \\ $800$ & $0.0200$ & $0.6896$ & $2.14$ & $1.89$ & $0.89$ & $0.43$ & $0.02$ & $0.46$ & $-0.29$ & $-0.35$ & $0.00$ & $0.08$ & $-0.05$ \\ $800$ & $0.0320$ & $0.6051$ & $2.38$ & $1.99$ & $1.11$ & $0.73$ & $0.00$ & $0.70$ & $-0.51$ & $-0.48$ & $0.00$ & $0.00$ & $0.00$ \\ $800$ & $0.0500$ & $0.5182$ & $2.44$ & $2.13$ & $0.91$ & $0.23$ & $0.22$ & $0.76$ & $0.37$ & $-0.29$ & $0.13$ & $0.58$ & $0.00$ \\ $800$ & $0.0800$ & $0.4481$ & $2.74$ & $2.26$ & $1.07$ & $0.48$ & $0.28$ & $1.13$ & $0.73$ & $-0.43$ & $-0.12$ & $0.73$ & $0.00$ \\ $800$ & $0.1300$ & $0.3511$ & $3.39$ & $2.66$ & $1.33$ & $0.44$ & $0.19$ & $1.63$ & $0.63$ & $-0.52$ & $-0.09$ & $1.40$ & $0.00$ \\ $800$ & $0.1800$ & $0.3203$ & $3.32$ & $2.76$ & $1.59$ & $0.58$ & $0.53$ & $0.92$ & $0.70$ & $-0.47$ & $-0.14$ & $0.33$ & $0.00$ \\ $800$ & $0.2500$ & $0.2364$ & $4.48$ & $3.27$ & $2.26$ & $0.96$ & $1.33$ & $2.07$ & $1.04$ & $-0.44$ & $-0.43$ & $-1.68$ & $0.00$ \\ $800$ & $0.4000$ & $0.1200$ & $8.56$ & $4.81$ & $4.02$ & $2.02$ & $2.66$ & $5.83$ & $1.97$ & $-0.56$ & $-0.63$ & $-5.42$ & $0.00$ \\ \hline $1000$ & $0.0130$ & $0.7857$ & $3.27$ & $2.66$ & $1.45$ & $0.14$ & $0.24$ & $1.24$ & $-0.10$ & $-0.29$ & $0.04$ & $0.21$ & $-1.18$ \\ $1000$ & $0.0200$ & $0.7184$ & $2.41$ & $2.20$ & $0.85$ & $0.31$ & $0.05$ & $0.48$ & $-0.22$ & $-0.39$ & $0.01$ & $0.13$ & $-0.12$ \\ $1000$ & $0.0320$ & $0.6057$ & $2.48$ & $2.18$ & $1.02$ & $0.65$ & $0.00$ & $0.57$ & $-0.41$ & $-0.39$ & $0.00$ & $0.01$ & $-0.01$ \\ $1000$ & $0.0500$ & $0.5105$ & $2.90$ & $2.34$ & $1.49$ & $1.24$ & $0.00$ & $0.84$ & $-0.69$ & $-0.48$ & $0.00$ & $0.00$ & $0.00$ \\ $1000$ & $0.0800$ & $0.4320$ & $2.84$ & $2.56$ & $1.04$ & $0.50$ & $0.29$ & $0.64$ & $0.38$ & $-0.22$ & $-0.13$ & $0.44$ & $-0.01$ \\ $1000$ & $0.1300$ & $0.3352$ & $3.73$ & $3.27$ & $1.26$ & $0.30$ & $0.22$ & $1.27$ & $0.30$ & $0.14$ & $0.09$ & $1.23$ & $0.00$ \\ $1000$ & $0.1800$ & $0.2953$ & $3.66$ & $3.26$ & $1.44$ & $0.33$ & $0.39$ & $0.84$ & $0.46$ & $-0.33$ & $-0.20$ & $0.59$ & $0.00$ \\ $1000$ & $0.2500$ & $0.2407$ & $4.38$ & $3.61$ & $2.01$ & $0.83$ & $1.05$ & $1.46$ & $0.98$ & $-0.43$ & $-0.21$ & $-0.98$ & $0.00$ \\ $1000$ & $0.4000$ & $0.1273$ & $8.40$ & $5.95$ & $3.66$ & $1.38$ & $2.63$ & $4.66$ & $1.40$ & $-0.41$ & $-0.63$ & $-4.37$ & $0.00$ \\ \hline $1200$ & $0.0130$ & $0.8194$ & $5.30$ & $4.39$ & $2.11$ & $0.13$ & $0.30$ & $2.09$ & $-0.14$ & $-0.22$ & $0.06$ & $0.23$ & $-2.06$ \\ $1200$ & $0.0200$ & $0.6982$ & $2.98$ & $2.78$ & $0.98$ & $0.13$ & $0.08$ & $0.40$ & $0.08$ & $-0.29$ & $0.02$ & $0.12$ & $-0.23$ \\ $1200$ & $0.0320$ & $0.5986$ & $2.74$ & $2.56$ & $0.85$ & $0.43$ & $0.02$ & $0.46$ & $-0.24$ & $-0.39$ & $0.00$ & $0.06$ & $-0.01$ \\ $1200$ & $0.0500$ & $0.5067$ & $3.00$ & $2.63$ & $1.24$ & $0.98$ & $0.00$ & $0.74$ & $-0.57$ & $-0.47$ & $0.00$ & $0.00$ & $-0.01$ \\ $1200$ & $0.0800$ & $0.4254$ & $3.16$ & $2.84$ & $1.14$ & $0.80$ & $0.11$ & $0.78$ & $0.56$ & $-0.30$ & $-0.09$ & $0.45$ & $0.00$ \\ $1200$ & $0.1300$ & $0.3382$ & $3.90$ & $3.47$ & $1.52$ & $1.01$ & $0.13$ & $0.91$ & $0.59$ & $-0.29$ & $-0.05$ & $0.63$ & $0.00$ \\ $1200$ & $0.1800$ & $0.3154$ & $4.28$ & $3.83$ & $1.45$ & $0.71$ & $0.05$ & $1.22$ & $0.53$ & $-0.30$ & $-0.14$ & $1.04$ & $-0.01$ \\ $1200$ & $0.2500$ & $0.2462$ & $4.77$ & $4.12$ & $2.18$ & $1.38$ & $0.97$ & $1.00$ & $0.83$ & $-0.28$ & $-0.28$ & $-0.41$ & $0.00$ \\ $1200$ & $0.4000$ & $0.1067$ & $8.83$ & $5.68$ & $4.30$ & $2.61$ & $2.74$ & $5.22$ & $1.66$ & $-0.52$ & $-0.57$ & $-4.88$ & $0.00$ \\ \hline $1500$ & $0.0200$ & $0.6717$ & $3.95$ & $3.49$ & $1.62$ & $0.13$ & $0.21$ & $0.89$ & $0.23$ & $-0.27$ & $0.05$ & $0.20$ & $-0.79$ \\ $1500$ & $0.0320$ & $0.5863$ & $3.46$ & $3.33$ & $0.85$ & $0.25$ & $0.05$ & $0.45$ & $-0.25$ & $-0.36$ & $0.02$ & $0.11$ & $-0.03$ \\ $1500$ & $0.0500$ & $0.5213$ & $3.21$ & $3.00$ & $1.00$ & $0.62$ & $0.00$ & $0.51$ & $-0.29$ & $-0.42$ & $0.00$ & $0.02$ & $0.00$ \\ $1500$ & $0.0800$ & $0.4430$ & $3.61$ & $3.31$ & $1.25$ & $0.94$ & $0.04$ & $0.74$ & $0.59$ & $-0.19$ & $-0.10$ & $0.38$ & $0.00$ \\ $1500$ & $0.1300$ & $0.3287$ & $4.36$ & $4.01$ & $1.49$ & $0.86$ & $0.06$ & $0.85$ & $0.51$ & $-0.25$ & $0.06$ & $0.64$ & $0.00$ \\ $1500$ & $0.1800$ & $0.2974$ & $4.50$ & $4.10$ & $1.53$ & $0.80$ & $0.04$ & $1.07$ & $0.53$ & $-0.20$ & $0.05$ & $0.91$ & $0.00$ \\ $1500$ & $0.2500$ & $0.2276$ & $5.16$ & $4.46$ & $2.38$ & $1.56$ & $1.11$ & $1.06$ & $0.94$ & $-0.19$ & $-0.37$ & $-0.26$ & $0.00$ \\ $1500$ & $0.4000$ & $0.1214$ & $7.74$ & $5.75$ & $3.63$ & $2.15$ & $2.05$ & $3.70$ & $1.21$ & $-0.24$ & $-0.51$ & $-3.45$ & $0.00$ \\ $1500$ & $0.6500$ & $0.01480$ & $16.82$ & $10.87$ & $7.13$ & $4.51$ & $4.88$ & $10.67$ & $2.81$ & $-0.32$ & $-1.00$ & $-10.24$ & $0.00$ \\ \hline $2000$ & $0.0219$ & $0.6850$ & $6.33$ & $5.63$ & $2.40$ & $0.55$ & $0.21$ & $1.62$ & $0.24$ & $-0.14$ & $0.05$ & $0.20$ & $-1.58$ \\ $2000$ & $0.0320$ & $0.5398$ & $4.19$ & $3.94$ & $1.33$ & $0.22$ & $0.09$ & $0.50$ & $-0.17$ & $-0.41$ & $0.02$ & $0.11$ & $-0.20$ \\ $2000$ & $0.0500$ & $0.5250$ & $3.82$ & $3.67$ & $1.01$ & $0.42$ & $0.01$ & $0.37$ & $-0.25$ & $-0.26$ & $0.00$ & $0.04$ & $0.00$ \\ $2000$ & $0.0800$ & $0.4199$ & $4.01$ & $3.73$ & $1.28$ & $0.89$ & $0.00$ & $0.75$ & $-0.46$ & $-0.60$ & $0.00$ & $0.00$ & $0.00$ \\ $2000$ & $0.1300$ & $0.3413$ & $5.26$ & $4.96$ & $1.60$ & $1.00$ & $0.10$ & $0.73$ & $0.47$ & $-0.21$ & $-0.09$ & $0.51$ & $0.00$ \\ $2000$ & $0.1800$ & $0.2973$ & $5.19$ & $4.80$ & $1.50$ & $0.58$ & $0.25$ & $1.26$ & $0.43$ & $-0.28$ & $0.19$ & $1.14$ & $0.00$ \\ $2000$ & $0.2500$ & $0.2331$ & $5.64$ & $4.98$ & $2.39$ & $1.66$ & $0.91$ & $1.14$ & $1.07$ & $-0.29$ & $-0.23$ & $-0.01$ & $0.00$ \\ $2000$ & $0.4000$ & $0.1250$ & $8.10$ & $6.30$ & $3.94$ & $2.57$ & $2.09$ & $3.23$ & $1.61$ & $-0.27$ & $-0.62$ & $-2.71$ & $0.00$ \\ $2000$ & $0.6500$ & $0.01368$ & $18.37$ & $12.83$ & $7.46$ & $4.72$ & $5.11$ & $10.82$ & $2.84$ & $-0.28$ & $-1.06$ & $-10.38$ & $0.00$ \\ \hline $3000$ & $0.0320$ & $0.5847$ & $4.22$ & $3.74$ & $1.72$ & $0.20$ & $0.13$ & $0.93$ & $0.05$ & $-0.27$ & $0.03$ & $0.13$ & $-0.88$ \\ $3000$ & $0.0500$ & $0.4979$ & $3.48$ & $3.23$ & $1.26$ & $0.22$ & $0.07$ & $0.35$ & $-0.07$ & $-0.33$ & $0.02$ & $0.09$ & $-0.06$ \\ $3000$ & $0.0800$ & $0.4309$ & $3.65$ & $3.42$ & $1.15$ & $0.52$ & $0.01$ & $0.56$ & $-0.33$ & $-0.45$ & $0.00$ & $0.02$ & $-0.01$ \\ $3000$ & $0.1300$ & $0.3349$ & $4.49$ & $4.18$ & $1.50$ & $0.73$ & $0.00$ & $0.65$ & $-0.50$ & $-0.42$ & $0.00$ & $0.00$ & $0.00$ \\ $3000$ & $0.1800$ & $0.2973$ & $5.61$ & $5.17$ & $1.95$ & $1.41$ & $0.05$ & $0.95$ & $0.78$ & $-0.15$ & $-0.04$ & $0.53$ & $0.00$ \\ $3000$ & $0.2500$ & $0.2221$ & $5.14$ & $4.66$ & $1.95$ & $1.32$ & $0.20$ & $0.97$ & $0.76$ & $-0.10$ & $-0.10$ & $0.58$ & $0.00$ \\ $3000$ & $0.4000$ & $0.1191$ & $7.27$ & $5.62$ & $3.86$ & $2.62$ & $1.91$ & $2.54$ & $1.51$ & $-0.10$ & $-0.50$ & $-1.98$ & $0.00$ \\ $3000$ & $0.6500$ & $0.01256$ & $16.63$ & $11.50$ & $7.93$ & $5.27$ & $5.35$ & $9.02$ & $3.30$ & $-0.26$ & $-1.39$ & $-8.28$ & $0.00$ \\ \hline $5000$ & $0.0547$ & $0.4615$ & $5.59$ & $5.08$ & $2.01$ & $0.52$ & $0.11$ & $1.18$ & $0.16$ & $-0.33$ & $0.05$ & $0.10$ & $-1.12$ \\ $5000$ & $0.0800$ & $0.4038$ & $4.20$ & $3.93$ & $1.44$ & $0.15$ & $0.06$ & $0.38$ & $-0.11$ & $-0.33$ & $0.02$ & $0.07$ & $-0.15$ \\ $5000$ & $0.1300$ & $0.3351$ & $4.96$ & $4.63$ & $1.68$ & $0.36$ & $0.00$ & $0.54$ & $0.27$ & $-0.46$ & $0.00$ & $0.02$ & $0.00$ \\ $5000$ & $0.1800$ & $0.2902$ & $5.45$ & $5.14$ & $1.75$ & $0.49$ & $0.00$ & $0.50$ & $-0.31$ & $-0.39$ & $0.00$ & $0.00$ & $0.00$ \\ $5000$ & $0.2500$ & $0.2126$ & $6.47$ & $6.13$ & $1.97$ & $0.71$ & $0.00$ & $0.55$ & $0.54$ & $-0.08$ & $0.00$ & $0.00$ & $0.00$ \\ $5000$ & $0.4000$ & $0.1030$ & $8.32$ & $7.49$ & $3.32$ & $1.90$ & $1.42$ & $1.45$ & $1.19$ & $0.05$ & $-0.43$ & $-0.69$ & $0.00$ \\ $5000$ & $0.6500$ & $0.009650$ & $17.88$ & $15.48$ & $6.50$ & $3.98$ & $4.26$ & $6.14$ & $2.06$ & $-0.07$ & $-1.19$ & $-5.66$ & $0.00$ \\ \hline $8000$ & $0.0875$ & $0.3440$ & $9.35$ & $8.73$ & $2.69$ & $0.33$ & $0.11$ & $2.01$ & $0.13$ & $-0.24$ & $0.05$ & $0.09$ & $-1.99$ \\ $8000$ & $0.1300$ & $0.2846$ & $7.38$ & $7.00$ & $2.29$ & $0.34$ & $0.06$ & $0.45$ & $-0.20$ & $-0.33$ & $0.02$ & $0.07$ & $-0.23$ \\ $8000$ & $0.1800$ & $0.2586$ & $7.39$ & $7.05$ & $2.17$ & $0.29$ & $0.01$ & $0.48$ & $0.18$ & $-0.44$ & $0.00$ & $0.02$ & $0.00$ \\ $8000$ & $0.2500$ & $0.2164$ & $9.14$ & $8.83$ & $2.30$ & $0.56$ & $0.00$ & $0.49$ & $0.43$ & $-0.25$ & $0.00$ & $0.00$ & $0.00$ \\ $8000$ & $0.4000$ & $0.09858$ & $11.16$ & $10.12$ & $4.30$ & $3.21$ & $0.00$ & $1.89$ & $1.84$ & $0.42$ & $0.00$ & $0.00$ & $0.00$ \\ $8000$ & $0.6500$ & $0.01341$ & $17.48$ & $15.28$ & $7.24$ & $4.89$ & $4.15$ & $4.42$ & $2.67$ & $0.25$ & $-1.14$ & $-3.32$ & $0.00$ \\ \hline $12000$ & $0.1300$ & $0.2077$ & $20.59$ & $19.89$ & $5.03$ & $0.64$ & $0.10$ & $1.66$ & $-0.76$ & $-0.46$ & $0.03$ & $0.09$ & $-1.40$ \\ $12000$ & $0.1800$ & $0.2120$ & $11.71$ & $11.41$ & $2.45$ & $0.63$ & $0.07$ & $0.93$ & $0.31$ & $-0.46$ & $0.02$ & $0.08$ & $-0.75$ \\ $12000$ & $0.2500$ & $0.1536$ & $12.11$ & $11.86$ & $2.40$ & $0.88$ & $0.02$ & $0.52$ & $0.41$ & $-0.32$ & $0.00$ & $0.04$ & $0.00$ \\ $12000$ & $0.4000$ & $0.09789$ & $14.69$ & $13.91$ & $4.47$ & $3.53$ & $0.00$ & $1.56$ & $1.51$ & $0.38$ & $0.00$ & $0.00$ & $0.00$ \\ $12000$ & $0.6500$ & $0.01541$ & $22.64$ & $21.37$ & $6.72$ & $5.23$ & $3.04$ & $3.30$ & $2.78$ & $0.26$ & $-0.75$ & $-1.59$ & $0.00$ \\ \hline $20000$ & $0.2500$ & $0.1267$ & $20.22$ & $19.92$ & $3.32$ & $2.22$ & $0.09$ & $0.90$ & $0.82$ & $0.22$ & $0.04$ & $0.10$ & $-0.27$ \\ $20000$ & $0.4000$ & $0.09396$ & $19.49$ & $18.99$ & $4.30$ & $3.27$ & $0.02$ & $0.93$ & $0.92$ & $-0.07$ & $0.01$ & $0.03$ & $0.00$ \\ $20000$ & $0.6500$ & $0.009430$ & $47.59$ & $44.86$ & $15.10$ & $14.72$ & $0.00$ & $4.96$ & $4.41$ & $2.28$ & $0.00$ & $0.00$ & $0.00$ \\ \hline $30000$ & $0.4000$ & $0.05285$ & $46.67$ & $46.39$ & $5.08$ & $3.43$ & $0.07$ & $1.04$ & $0.99$ & $-0.21$ & $0.01$ & $0.06$ & $-0.24$ \\ $30000$ & $0.6500$ & $0.007890$ & $71.87$ & $71.13$ & $9.87$ & $9.04$ & $0.00$ & $3.00$ & $2.73$ & $1.24$ & $0.00$ & $0.00$ & $0.00$ \\ \hline \end{tabular} \end{center} %\caption{Continued from table~\ref{tab:ncdxdq2_posP0}.} \captcont{continued.} \end{table} % table 27 %\input{ccDxDq2e-P0} \begin{table}[htbp] \begin{center} \tiny \renewcommand{\arraystretch}{1.22} \begin{tabular}{|r|c|c|l|r|r|r|r|r|r|r|r|r|} \hline $Q^2$ &$x$ & $y$ & ${\rm d}^2\sigma_{\rm CC}/{\rm d}x{\rm d}Q^2$ & $\delta_{\rm tot}$ & $\delta_{\rm stat}$ & $\delta_{\rm unc}$ & $\delta_{\rm unc}^{h}$& $\delta_{\rm cor}$ & $\delta_{\rm cor}^{V^+}$ & $\delta_{\rm cor}^{h^+}$& $\delta_{\rm cor}^{N^+}$& $\delta_{\rm cor}^{B^+}$ \\ $(\rm GeV^2)$ & & & $(\rm pb/GeV^2)$ & $(\%)$ & $(\%)$ & $(\%)$ & $(\%)$ & $(\%)$ & $(\%)$ & $(\%)$ & $(\%)$ & $(\%)$ \\ \hline $300$ & $0.008$ & $0.369$ & $1.64$ & $44.7$ & $33.8$ & $23.9$ & $1.6$ & $16.8$ & $15.5$ & $-0.3$ & $-1.0$ & $-4.9$ \\ $300$ & $0.013$ & $0.227$ & $0.720$ & $19.9$ & $13.4$ & $10.9$ & $2.6$ & $9.9$ & $9.4$ & $-0.8$ & $-0.3$ & $-1.4$ \\ $300$ & $0.032$ & $0.092$ & $0.234$ & $14.5$ & $12.4$ & $5.2$ & $1.9$ & $5.4$ & $4.7$ & $-0.4$ & $0.5$ & $-2.2$ \\ $300$ & $0.080$ & $0.037$ & $0.640 \cdot 10^{-1}$ & $13.9$ & $11.9$ & $5.1$ & $2.6$ & $5.0$ & $1.4$ & $-0.4$ & $-4.0$ & $-2.0$ \\ \hline $500$ & $0.013$ & $0.379$ & $0.629$ & $14.2$ & $8.8$ & $7.1$ & $2.3$ & $8.6$ & $8.5$ & $-0.5$ & $-0.7$ & $-0.6$ \\ $500$ & $0.032$ & $0.154$ & $0.202$ & $8.6$ & $7.2$ & $3.3$ & $1.7$ & $3.2$ & $3.0$ & $-0.6$ & $0.1$ & $-0.3$ \\ $500$ & $0.080$ & $0.062$ & $0.508 \cdot 10^{-1}$ & $9.4$ & $8.3$ & $4.2$ & $2.3$ & $1.5$ & $0.8$ & $-0.6$ & $-0.2$ & $-0.3$ \\ $500$ & $0.130$ & $0.038$ & $0.261 \cdot 10^{-1}$ & $24.0$ & $19.7$ & $5.4$ & $0.7$ & $12.6$ & $0.1$ & $0.6$ & $-12.3$ & $0.0$ \\ \hline $1000$ & $0.013$ & $0.757$ & $0.390$ & $13.3$ & $9.1$ & $5.8$ & $1.8$ & $7.9$ & $7.8$ & $-0.8$ & $0.0$ & $-0.4$ \\ $1000$ & $0.032$ & $0.308$ & $0.182$ & $6.6$ & $5.6$ & $2.8$ & $1.7$ & $2.1$ & $1.9$ & $-0.4$ & $0.3$ & $-0.1$ \\ $1000$ & $0.080$ & $0.123$ & $0.588 \cdot 10^{-1}$ & $6.5$ & $5.7$ & $2.9$ & $0.9$ & $1.4$ & $0.4$ & $-0.3$ & $0.9$ & $-0.1$ \\ $1000$ & $0.130$ & $0.076$ & $0.255 \cdot 10^{-1}$ & $11.5$ & $10.1$ & $3.8$ & $1.5$ & $3.8$ & $0.0$ & $-0.1$ & $-3.6$ & $-0.1$ \\ \hline $2000$ & $0.032$ & $0.615$ & $0.116$ & $6.3$ & $5.3$ & $2.6$ & $1.1$ & $2.1$ & $1.9$ & $-0.4$ & $-0.3$ & $-0.1$ \\ $2000$ & $0.080$ & $0.246$ & $0.438 \cdot 10^{-1}$ & $5.4$ & $4.8$ & $2.1$ & $0.6$ & $1.0$ & $0.1$ & $-0.1$ & $0.7$ & $0.0$ \\ $2000$ & $0.130$ & $0.152$ & $0.225 \cdot 10^{-1}$ & $7.5$ & $6.8$ & $3.0$ & $0.9$ & $1.1$ & $-0.0$ & $-0.4$ & $-0.3$ & $0.0$ \\ $2000$ & $0.250$ & $0.079$ & $0.841 \cdot 10^{-2}$ & $16.3$ & $13.0$ & $3.9$ & $0.5$ & $9.0$ & $0.0$ & $0.3$ & $-8.8$ & $0.0$ \\ \hline $3000$ & $0.080$ & $0.369$ & $0.323 \cdot 10^{-1}$ & $5.2$ & $4.6$ & $2.0$ & $0.2$ & $1.1$ & $-0.1$ & $0.1$ & $0.9$ & $0.0$ \\ $3000$ & $0.130$ & $0.227$ & $0.177 \cdot 10^{-1}$ & $6.1$ & $5.6$ & $2.1$ & $0.3$ & $1.1$ & $-0.0$ & $-0.1$ & $0.8$ & $0.0$ \\ $3000$ & $0.250$ & $0.118$ & $0.665 \cdot 10^{-2}$ & $9.1$ & $8.3$ & $2.9$ & $0.6$ & $2.3$ & $0.0$ & $0.1$ & $-2.0$ & $-0.2$ \\ \hline $5000$ & $0.080$ & $0.615$ & $0.208 \cdot 10^{-1}$ & $6.6$ & $5.9$ & $2.4$ & $0.9$ & $1.4$ & $0.1$ & $0.2$ & $1.1$ & $0.0$ \\ $5000$ & $0.130$ & $0.379$ & $0.125 \cdot 10^{-1}$ & $5.8$ & $5.2$ & $2.1$ & $0.2$ & $1.1$ & $-0.0$ & $0.1$ & $0.8$ & $0.0$ \\ $5000$ & $0.250$ & $0.197$ & $0.471 \cdot 10^{-2}$ & $7.1$ & $6.4$ & $2.6$ & $1.5$ & $1.1$ & $-0.0$ & $0.4$ & $0.3$ & $-0.1$ \\ $5000$ & $0.400$ & $0.123$ & $0.142 \cdot 10^{-2}$ & $19.8$ & $17.4$ & $5.4$ & $4.7$ & $7.7$ & $0.0$ & $1.0$ & $-7.2$ & $0.0$ \\ \hline $8000$ & $0.130$ & $0.606$ & $0.834 \cdot 10^{-2}$ & $7.7$ & $6.4$ & $3.5$ & $2.6$ & $2.1$ & $-0.1$ & $0.9$ & $1.6$ & $0.0$ \\ $8000$ & $0.250$ & $0.315$ & $0.256 \cdot 10^{-2}$ & $7.5$ & $6.6$ & $3.0$ & $2.1$ & $1.6$ & $-0.0$ & $0.6$ & $1.2$ & $0.0$ \\ $8000$ & $0.400$ & $0.197$ & $0.991 \cdot 10^{-3}$ & $13.7$ & $12.3$ & $5.5$ & $5.0$ & $2.4$ & $0.0$ & $1.4$ & $-0.8$ & $0.0$ \\ \hline $15000$ & $0.250$ & $0.591$ & $0.153 \cdot 10^{-2}$ & $9.8$ & $7.6$ & $5.5$ & $4.8$ & $2.7$ & $-0.0$ & $1.3$ & $2.0$ & $0.0$ \\ $15000$ & $0.400$ & $0.369$ & $0.388 \cdot 10^{-3}$ & $12.1$ & $10.0$ & $6.1$ & $5.6$ & $2.7$ & $0.0$ & $1.7$ & $1.4$ & $0.0$ \\ \hline $30000$ & $0.400$ & $0.738$ & $0.149 \cdot 10^{-3}$ & $19.5$ & $15.6$ & $10.2$ & $9.7$ & $5.4$ & $0.0$ & $3.1$ & $3.8$ & $0.0$ \\ \hline \end{tabular} \end{center} \caption[RESULT] {\label{tab:ccdxdq2_eleP0} The CC $e^-p$ cross section ${\rm d}^2\sigma_{\rm CC}/{\rm d}x{\rm d}Q^2$ for lepton beam polarisation $P_e=0$ with statistical $(\delta_{\rm stat})$, total $(\delta_{\rm tot})$, total uncorrelated systematic $(\delta_{\rm unc})$ errors and one of its contributions from the hadronic energy error ($\delta_{\rm unc}^{h}$). The effect of the other uncorrelated systematic errors is included in $\delta_{\rm unc}$. In addition the correlated systematic $(\delta_{\rm cor})$ and its contributions from a positive variation of one standard deviation of the cuts against photoproduction ($\delta_{\rm cor}^{V^+}$), of the hadronic energy error ($\delta_{\rm cor}^{h^+}$), of the error due to noise subtraction ($\delta_{\rm cor}^{N^+}$) and of the error due to background subtraction ($\delta_{\rm cor}^{B^+}$) are given. The normalisation and polarisation uncertainties are not included in the errors. } \end{table} % table 28 %\input{ccDxDq2e+P0} \begin{table}[htbp] \begin{center} \tiny \renewcommand{\arraystretch}{1.22} \begin{tabular}{|r|c|c|l|r|r|r|r|r|r|r|r|r|} \hline $Q^2$ &$x$ & $y$ & ${\rm d}^2\sigma_{\rm CC}/{\rm d}x{\rm d}Q^2$ & $\delta_{\rm tot}$ & $\delta_{\rm stat}$ & $\delta_{\rm unc}$ & $\delta_{\rm unc}^{h}$& $\delta_{\rm cor}$ & $\delta_{\rm cor}^{V^+}$ & $\delta_{\rm cor}^{h^+}$& $\delta_{\rm cor}^{N^+}$& $\delta_{\rm cor}^{B^+}$ \\ $(\rm GeV^2)$ & & & $(\rm pb/GeV^2)$ & $(\%)$ & $(\%)$ & $(\%)$ & $(\%)$ & $(\%)$ & $(\%)$ & $(\%)$ & $(\%)$ & $(\%)$ \\ \hline $300$ & $0.008$ & $0.369$ & $0.938$ & $44.0$ & $30.7$ & $26.0$ & $2.5$ & $17.9$ & $16.0$ & $-0.8$ & $-0.6$ & $-5.9$ \\ $300$ & $0.013$ & $0.227$ & $0.499$ & $23.0$ & $16.6$ & $11.3$ & $1.8$ & $11.1$ & $10.2$ & $-0.5$ & $-0.3$ & $-3.5$ \\ $300$ & $0.032$ & $0.092$ & $0.192$ & $13.5$ & $10.7$ & $5.3$ & $1.7$ & $6.4$ & $5.3$ & $-0.4$ & $1.3$ & $-3.1$ \\ $300$ & $0.080$ & $0.037$ & $0.393 \cdot 10^{-1}$ & $15.9$ & $14.4$ & $5.1$ & $2.3$ & $4.4$ & $1.9$ & $-0.3$ & $-3.2$ & $-1.9$ \\ \hline $500$ & $0.013$ & $0.379$ & $0.486$ & $15.4$ & $10.0$ & $7.1$ & $1.9$ & $9.4$ & $9.2$ & $-0.6$ & $-0.1$ & $-0.9$ \\ $500$ & $0.032$ & $0.154$ & $0.182$ & $8.9$ & $7.4$ & $3.2$ & $1.5$ & $3.6$ & $3.4$ & $-0.5$ & $0.5$ & $-0.6$ \\ $500$ & $0.080$ & $0.062$ & $0.493 \cdot 10^{-1}$ & $9.0$ & $8.1$ & $3.6$ & $0.9$ & $1.4$ & $0.9$ & $-0.2$ & $0.3$ & $-0.4$ \\ $500$ & $0.130$ & $0.038$ & $0.199 \cdot 10^{-1}$ & $24.4$ & $20.6$ & $5.7$ & $0.7$ & $11.7$ & $0.2$ & $-0.7$ & $-11.5$ & $0.0$ \\ \hline $1000$ & $0.013$ & $0.757$ & $0.316$ & $15.3$ & $10.3$ & $6.1$ & $0.9$ & $9.5$ & $9.4$ & $-0.5$ & $0.5$ & $-0.6$ \\ $1000$ & $0.032$ & $0.308$ & $0.149$ & $6.8$ & $5.9$ & $2.3$ & $0.9$ & $2.2$ & $2.0$ & $-0.3$ & $0.6$ & $-0.1$ \\ $1000$ & $0.080$ & $0.123$ & $0.366 \cdot 10^{-1}$ & $7.5$ & $6.8$ & $2.8$ & $0.8$ & $1.2$ & $0.4$ & $-0.3$ & $0.8$ & $-0.1$ \\ $1000$ & $0.130$ & $0.076$ & $0.177 \cdot 10^{-1}$ & $11.9$ & $10.9$ & $3.7$ & $0.9$ & $2.6$ & $0.1$ & $-0.3$ & $-2.3$ & $0.0$ \\ \hline $2000$ & $0.032$ & $0.615$ & $0.793 \cdot 10^{-1}$ & $7.0$ & $6.1$ & $2.4$ & $0.3$ & $2.5$ & $2.2$ & $-0.2$ & $0.8$ & $-0.1$ \\ $2000$ & $0.080$ & $0.246$ & $0.269 \cdot 10^{-1}$ & $6.2$ & $5.8$ & $2.0$ & $0.1$ & $1.2$ & $0.1$ & $-0.0$ & $0.9$ & $-0.1$ \\ $2000$ & $0.130$ & $0.152$ & $0.120 \cdot 10^{-1}$ & $9.2$ & $8.6$ & $3.0$ & $0.8$ & $1.2$ & $0.0$ & $0.3$ & $0.7$ & $0.0$ \\ $2000$ & $0.250$ & $0.079$ & $0.356 \cdot 10^{-2}$ & $18.9$ & $16.5$ & $3.7$ & $0.8$ & $8.4$ & $0.0$ & $0.2$ & $-8.2$ & $0.0$ \\ \hline $3000$ & $0.080$ & $0.369$ & $0.185 \cdot 10^{-1}$ & $6.6$ & $5.9$ & $2.5$ & $1.3$ & $1.5$ & $-0.0$ & $0.5$ & $1.2$ & $0.0$ \\ $3000$ & $0.130$ & $0.227$ & $0.107 \cdot 10^{-1}$ & $7.5$ & $7.1$ & $2.1$ & $0.6$ & $1.3$ & $-0.0$ & $0.2$ & $0.9$ & $0.0$ \\ $3000$ & $0.250$ & $0.118$ & $0.210 \cdot 10^{-2}$ & $13.7$ & $13.1$ & $3.5$ & $2.1$ & $1.8$ & $0.0$ & $0.4$ & $-1.3$ & $0.0$ \\ $3000$ & $0.400$ & $0.074$ & $0.236 \cdot 10^{-3}$ & $73.4$ & $71.0$ & $6.6$ & $5.6$ & $17.6$ & $0.0$ & $0.7$ & $-16.9$ & $0.0$ \\ \hline $5000$ & $0.080$ & $0.615$ & $0.696 \cdot 10^{-2}$ & $10.9$ & $9.7$ & $3.9$ & $3.1$ & $2.8$ & $0.1$ & $0.8$ & $2.4$ & $-0.1$ \\ $5000$ & $0.130$ & $0.379$ & $0.476 \cdot 10^{-2}$ & $9.3$ & $8.3$ & $3.2$ & $2.4$ & $2.1$ & $-0.1$ & $0.7$ & $1.7$ & $0.0$ \\ $5000$ & $0.250$ & $0.197$ & $0.136 \cdot 10^{-2}$ & $12.2$ & $11.4$ & $3.3$ & $2.6$ & $1.6$ & $0.0$ & $0.6$ & $0.8$ & $0.0$ \\ $5000$ & $0.400$ & $0.123$ & $0.695 \cdot 10^{-3}$ & $24.3$ & $21.3$ & $7.7$ & $7.2$ & $8.4$ & $0.0$ & $1.5$ & $-7.6$ & $0.0$ \\ \hline $8000$ & $0.130$ & $0.606$ & $0.146 \cdot 10^{-2}$ & $15.4$ & $13.7$ & $5.6$ & $5.0$ & $3.2$ & $-0.2$ & $1.3$ & $2.5$ & $0.0$ \\ $8000$ & $0.250$ & $0.315$ & $0.802 \cdot 10^{-3}$ & $12.7$ & $11.3$ & $4.4$ & $3.8$ & $2.5$ & $0.0$ & $1.2$ & $1.8$ & $0.0$ \\ $8000$ & $0.400$ & $0.197$ & $0.195 \cdot 10^{-3}$ & $26.8$ & $25.1$ & $8.0$ & $7.7$ & $3.8$ & $0.0$ & $2.5$ & $-1.2$ & $0.0$ \\ \hline $15000$ & $0.250$ & $0.591$ & $0.201 \cdot 10^{-3}$ & $20.0$ & $17.6$ & $7.9$ & $7.4$ & $4.2$ & $-0.1$ & $2.2$ & $2.9$ & $0.0$ \\ $15000$ & $0.400$ & $0.369$ & $0.335 \cdot 10^{-4}$ & $30.2$ & $29.0$ & $7.0$ & $6.5$ & $3.6$ & $0.0$ & $1.9$ & $1.6$ & $0.0$ \\ \hline \end{tabular} \end{center} \caption[RESULT] {\label{tab:ccdxdq2_posP0} The CC $e^+p$ cross section ${\rm d}^2\sigma_{\rm CC}/{\rm d}x{\rm d}Q^2$ for lepton beam polarisation $P_e=0$ with statistical $(\delta_{\rm stat})$, total $(\delta_{\rm tot})$, total uncorrelated systematic $(\delta_{\rm unc})$ errors and one of its contributions from the hadronic energy error ($\delta_{\rm unc}^{h}$). The effect of the other uncorrelated systematic errors is included in $\delta_{\rm unc}$. In addition the correlated systematic $(\delta_{\rm cor})$ and its contributions from a positive variation of one standard deviation of the cuts against photoproduction ($\delta_{\rm cor}^{V^+}$), of the hadronic energy error ($\delta_{\rm cor}^{h^+}$), of the error due to noise subtraction ($\delta_{\rm cor}^{N^+}$) and of the error due to background subtraction ($\delta_{\rm cor}^{B^+}$) are given. The normalisation and polarisation uncertainties are not included in the errors. } \end{table} \renewcommand{\arraystretch}{1.22} \clearpage % table 29 \begin{table}[\tablepos] \begin{center} \footnotesize \begin{tabular}{|r|c|c|r|r|r|r|r|r|c|} \hline $Q^2$ & $x$ & $y$ & $\tilde{\sigma}_{\rm NC}$ & $F_{2}$ & $\delta_{\rm stat}$ & $\delta_{\rm unc}$ & $\delta_{\rm cor}$ & $\delta_{\rm tot}$ & $\sqrt{s}$ \\ $(\rm GeV^2)$ & & & & & $(\%)$ & $(\%)$ & $(\%)$ & $(\%)$ & $(\rm GeV)$ \\ \hline %bin number, x, q2, y, sigma, F2_gamma, stat, syst_uncor, syst_corr and total errors. %\input{combination_tables/p_1_515} % tables from sasha of combined HERA\,I+II NC e-p $ 60 $ &$ 0.00080 $ & $ 0.750 $ &$ 1.465 $ & --- & $ 1.01 $ &$ 1.84 $ &$ 1.65 $ &$ 2.67$ & $ 319$ \\ \hline $ 90 $ &$ 0.00118 $ & $ 0.750 $ &$ 1.468 $ & --- & $ 0.82 $ &$ 1.71 $ &$ 1.61 $ &$ 2.49$ & $ 319$ \\ \hline $ 100 $ &$ 0.00131 $ & $ 0.750 $ &$ 1.355 $ & --- & $ 4.02 $ &$ 5.50 $ &$ 1.75 $ &$ 7.03$ & $ 319$ \\ $ 100 $ &$ 0.00200 $ & $ 0.494 $ &$ 1.271 $ &$ 1.316 $ &$ 3.43 $ &$ 3.30 $ &$ 1.89 $ &$ 5.12$ & $ 319$ \\ \hline $ 120 $ &$ 0.00158 $ & $ 0.750 $ &$ 1.421 $ & --- & $ 0.92 $ &$ 1.71 $ &$ 1.57 $ &$ 2.50$ & $ 319$ \\ $ 120 $ &$ 0.00200 $ & $ 0.593 $ &$ 1.340 $ & --- & $ 0.70 $ &$ 0.91 $ &$ 1.73 $ &$ 2.08$ & $ 319$ \\ $ 120 $ &$ 0.00320 $ & $ 0.371 $ &$ 1.205 $ &$ 1.224 $ &$ 0.96 $ &$ 1.08 $ &$ 1.54 $ &$ 2.12$ & $ 319$ \\ \hline $ 150 $ &$ 0.00197 $ & $ 0.750 $ &$ 1.340 $ & --- & $ 1.03 $ &$ 1.77 $ &$ 1.54 $ &$ 2.56$ & $ 319$ \\ $ 150 $ &$ 0.00320 $ & $ 0.463 $ &$ 1.215 $ &$ 1.248 $ &$ 0.59 $ &$ 0.85 $ &$ 1.59 $ &$ 1.90$ & $ 319$ \\ $ 150 $ &$ 0.00500 $ & $ 0.296 $ &$ 1.098 $ &$ 1.107 $ &$ 0.71 $ &$ 1.13 $ &$ 1.55 $ &$ 2.04$ & $ 319$ \\ $ 150 $ &$ 0.00800 $ & $ 0.185 $ &$ 0.9412 $ &$ 0.9427 $ &$ 0.97 $ &$ 1.72 $ &$ 1.63 $ &$ 2.56$ & $ 319$ \\ $ 150 $ &$ 0.01300 $ & $ 0.114 $ &$ 0.8045 $ &$ 0.8047 $ &$ 1.37 $ &$ 2.98 $ &$ 1.86 $ &$ 3.77$ & $ 319$ \\ \hline $ 200 $ &$ 0.00263 $ & $ 0.750 $ &$ 1.267 $ & --- & $ 1.30 $ &$ 1.85 $ &$ 1.53 $ &$ 2.74$ & $ 319$ \\ $ 200 $ &$ 0.00320 $ & $ 0.618 $ &$ 1.233 $ & --- & $ 1.08 $ &$ 0.84 $ &$ 1.60 $ &$ 2.10$ & $ 319$ \\ $ 200 $ &$ 0.00500 $ & $ 0.395 $ &$ 1.097 $ &$ 1.115 $ &$ 0.76 $ &$ 0.91 $ &$ 1.54 $ &$ 1.94$ & $ 319$ \\ $ 200 $ &$ 0.00800 $ & $ 0.247 $ &$ 0.9478 $ &$ 0.9515 $ &$ 0.79 $ &$ 1.24 $ &$ 1.55 $ &$ 2.14$ & $ 319$ \\ $ 200 $ &$ 0.01300 $ & $ 0.152 $ &$ 0.7903 $ &$ 0.7898 $ &$ 0.89 $ &$ 0.81 $ &$ 1.51 $ &$ 1.93$ & $ 319$ \\ $ 200 $ &$ 0.02000 $ & $ 0.099 $ &$ 0.6919 $ &$ 0.6911 $ &$ 0.98 $ &$ 1.02 $ &$ 1.52 $ &$ 2.08$ & $ 319$ \\ $ 200 $ &$ 0.03200 $ & $ 0.062 $ &$ 0.5757 $ &$ 0.5750 $ &$ 1.11 $ &$ 1.37 $ &$ 1.56 $ &$ 2.36$ & $ 319$ \\ $ 200 $ &$ 0.05000 $ & $ 0.040 $ &$ 0.5208 $ &$ 0.5201 $ &$ 1.31 $ &$ 1.67 $ &$ 1.70 $ &$ 2.71$ & $ 319$ \\ $ 200 $ &$ 0.08000 $ & $ 0.025 $ &$ 0.4342 $ &$ 0.4332 $ &$ 1.37 $ &$ 2.10 $ &$ 1.82 $ &$ 3.10$ & $ 319$ \\ $ 200 $ &$ 0.13000 $ &$ 0.015 $ &$ 0.3591 $ &$ 0.3584 $ &$ 1.66 $ &$ 2.15 $ &$ 1.77 $ &$ 3.24$ & $ 319$ \\ $ 200 $ &$ 0.18000 $ &$ 0.011 $ &$ 0.3057 $ &$ 0.3056 $ &$ 2.25 $ &$ 2.74 $ &$ 1.87 $ &$ 4.01$ & $ 319$ \\ \hline $ 250 $ &$ 0.00328 $ & $ 0.750 $ &$ 1.255 $ & --- & $ 1.48 $ &$ 1.84 $ &$ 1.53 $ &$ 2.82$ & $ 319$ \\ $ 250 $ &$ 0.00500 $ & $ 0.494 $ &$ 1.113 $ &$ 1.144 $ &$ 0.89 $ &$ 0.83 $ &$ 1.54 $ &$ 1.97$ & $ 319$ \\ $ 250 $ &$ 0.00800 $ & $ 0.309 $ &$ 0.9610 $ &$ 0.9672 $ &$ 0.87 $ &$ 0.97 $ &$ 1.55 $ &$ 2.02$ & $ 319$ \\ $ 250 $ &$ 0.01300 $ & $ 0.190 $ &$ 0.8114 $ &$ 0.8110 $ &$ 0.95 $ &$ 1.18 $ &$ 1.60 $ &$ 2.20$ & $ 319$ \\ $ 250 $ &$ 0.02000 $ & $ 0.124 $ &$ 0.6854 $ &$ 0.6838 $ &$ 0.98 $ &$ 1.18 $ &$ 1.56 $ &$ 2.19$ & $ 319$ \\ $ 250 $ &$ 0.03200 $ & $ 0.077 $ &$ 0.5818 $ &$ 0.5807 $ &$ 1.03 $ &$ 1.28 $ &$ 1.58 $ &$ 2.28$ & $ 319$ \\ $ 250 $ &$ 0.05000 $ & $ 0.049 $ &$ 0.4930 $ &$ 0.4918 $ &$ 1.18 $ &$ 1.25 $ &$ 1.59 $ &$ 2.34$ & $ 319$ \\ $ 250 $ &$ 0.08000 $ & $ 0.031 $ &$ 0.4230 $ &$ 0.4221 $ &$ 1.21 $ &$ 1.04 $ &$ 1.75 $ &$ 2.37$ & $ 319$ \\ $ 250 $ &$ 0.13000 $ &$ 0.019 $ &$ 0.3607 $ &$ 0.3603 $ &$ 1.24 $ &$ 1.66 $ &$ 1.62 $ &$ 2.63$ & $ 319$ \\ $ 250 $ &$ 0.18000 $ &$ 0.014 $ &$ 0.3077 $ &$ 0.3074 $ &$ 1.75 $ &$ 2.69 $ &$ 2.09 $ &$ 3.83$ & $ 319$ \\ $ 250 $ &$ 0.25000 $ &$ 0.010 $ &$ 0.2265 $ &$ 0.2256 $ &$ 7.48 $ &$ 8.60 $ &$ 2.03 $ &$11.57$ & $ 319$ \\ $ 250 $ &$ 0.40000 $ &$ 0.006 $ &$ 0.1380 $ &$ 0.1378 $ &$ 9.30 $ &$ 6.80 $ &$ 1.68 $ &$11.64$ & $ 319$ \\ \hline \hline \end{tabular} \end{center} \caption[RESULT] { Combined HERA\,I+II NC $e^-p$ reduced cross sections for $P_e=0$. Here $F_2$ is the dominant electromagnetic structure function and $\delta_{\rm stat}$, $\delta_{\rm unc}$, $\delta_{\rm cor}$ and $\delta_{\rm tot}$ are the relative statistical, total uncorrelated, correlated systematic and total uncertainties, respectively. The table continues on the next pages.} \label{tab:nccombined_ele} \end{table} % table 29 continued \begin{table}[\tablepos] \begin{center} \footnotesize \begin{tabular}{|r|c|c|r|r|r|r|r|r|c|} \hline $Q^2$ & $x$ & $y$ & $\tilde{\sigma}_{\rm NC}$ & $F_{2}$ & $\delta_{\rm stat}$ & $\delta_{\rm unc}$ & $\delta_{\rm cor}$ & $\delta_{\rm tot}$ & $\sqrt{s}$ \\ $(\rm GeV^2)$ & & & & & $(\%)$ & $(\%)$ & $(\%)$ & $(\%)$ & $(\rm GeV)$ \\ \hline %bin number, x, q2, y, sigma, F2_gamma, stat, syst_uncor, syst_corr and total errors. %\input{combination_tables/p_1a_515} % tables from sasha of combined HERA\,I+II NC e-p $ 300 $ &$ 0.00394 $ & $ 0.750 $ &$ 1.202 $ & --- & $ 1.71 $ &$ 1.83 $ &$ 1.52 $ &$ 2.93$ & $ 319$ \\ $ 300 $ &$ 0.00500 $ & $ 0.593 $ &$ 1.143 $ & --- & $ 1.49 $ &$ 0.89 $ &$ 1.56 $ &$ 2.33$ & $ 319$ \\ $ 300 $ &$ 0.00800 $ & $ 0.371 $ &$ 0.9817 $ &$ 0.9921 $ &$ 1.01 $ &$ 0.83 $ &$ 1.52 $ &$ 2.01$ & $ 319$ \\ $ 300 $ &$ 0.01300 $ & $ 0.228 $ &$ 0.8203 $ &$ 0.8204 $ &$ 1.01 $ &$ 1.05 $ &$ 1.56 $ &$ 2.14$ & $ 319$ \\ $ 300 $ &$ 0.02000 $ & $ 0.148 $ &$ 0.7002 $ &$ 0.6985 $ &$ 1.12 $ &$ 1.01 $ &$ 1.57 $ &$ 2.18$ & $ 319$ \\ $ 300 $ &$ 0.03200 $ & $ 0.093 $ &$ 0.5882 $ &$ 0.5863 $ &$ 1.18 $ &$ 1.13 $ &$ 1.57 $ &$ 2.26$ & $ 319$ \\ $ 300 $ &$ 0.05000 $ & $ 0.059 $ &$ 0.4981 $ &$ 0.4965 $ &$ 1.28 $ &$ 1.35 $ &$ 1.62 $ &$ 2.47$ & $ 319$ \\ $ 300 $ &$ 0.08000 $ & $ 0.037 $ &$ 0.4196 $ &$ 0.4188 $ &$ 1.37 $ &$ 1.32 $ &$ 1.75 $ &$ 2.59$ & $ 319$ \\ $ 300 $ &$ 0.13000 $ &$ 0.023 $ &$ 0.3559 $ &$ 0.3551 $ &$ 1.37 $ &$ 1.78 $ &$ 1.62 $ &$ 2.77$ & $ 319$ \\ $ 300 $ &$ 0.18000 $ &$ 0.016 $ &$ 0.2962 $ &$ 0.2953 $ &$ 1.88 $ &$ 3.05 $ &$ 2.31 $ &$ 4.26$ & $ 319$ \\ $ 300 $ &$ 0.25000 $ &$ 0.012 $ &$ 0.2806 $ &$ 0.2804 $ &$ 6.86 $ &$ 9.40 $ &$ 2.36 $ &$11.87$ & $ 319$ \\ $ 300 $ &$ 0.40000 $ &$ 0.007 $ &$ 0.1484 $ &$ 0.1477 $ &$ 2.21 $ &$ 3.29 $ &$ 2.94 $ &$ 4.93$ & $ 319$ \\ \hline $ 400 $ &$ 0.00525 $ & $ 0.750 $ &$ 1.142 $ & --- & $ 1.85 $ &$ 1.83 $ &$ 1.51 $ &$ 3.01$ & $ 319$ \\ $ 400 $ &$ 0.00800 $ & $ 0.494 $ &$ 1.034 $ &$ 1.056 $ &$ 1.24 $ &$ 0.88 $ &$ 1.53 $ &$ 2.16$ & $ 319$ \\ $ 400 $ &$ 0.01300 $ & $ 0.304 $ &$ 0.8532 $ &$ 0.8547 $ &$ 1.19 $ &$ 0.91 $ &$ 1.53 $ &$ 2.14$ & $ 319$ \\ $ 400 $ &$ 0.02000 $ & $ 0.198 $ &$ 0.7108 $ &$ 0.7089 $ &$ 1.23 $ &$ 1.17 $ &$ 1.58 $ &$ 2.32$ & $ 319$ \\ $ 400 $ &$ 0.03200 $ & $ 0.124 $ &$ 0.5992 $ &$ 0.5963 $ &$ 1.30 $ &$ 0.93 $ &$ 1.55 $ &$ 2.23$ & $ 319$ \\ $ 400 $ &$ 0.05000 $ & $ 0.079 $ &$ 0.4951 $ &$ 0.4927 $ &$ 1.44 $ &$ 1.03 $ &$ 1.54 $ &$ 2.35$ & $ 319$ \\ $ 400 $ &$ 0.08000 $ & $ 0.049 $ &$ 0.4179 $ &$ 0.4161 $ &$ 1.54 $ &$ 0.97 $ &$ 1.66 $ &$ 2.47$ & $ 319$ \\ $ 400 $ &$ 0.13000 $ &$ 0.030 $ &$ 0.3643 $ &$ 0.3625 $ &$ 1.54 $ &$ 1.33 $ &$ 1.60 $ &$ 2.59$ & $ 319$ \\ $ 400 $ &$ 0.18000 $ &$ 0.022 $ &$ 0.3066 $ &$ 0.3058 $ &$ 1.97 $ &$ 2.44 $ &$ 2.20 $ &$ 3.83$ & $ 319$ \\ $ 400 $ &$ 0.25000 $ &$ 0.016 $ &$ 0.2400 $ &$ 0.2392 $ &$ 7.60 $ &$ 6.70 $ &$ 1.85 $ &$10.30$ & $ 319$ \\ $ 400 $ &$ 0.40000 $ &$ 0.010 $ &$ 0.1479 $ &$ 0.1476 $ &$ 2.56 $ &$ 3.00 $ &$ 3.17 $ &$ 5.06$ & $ 319$ \\ \hline $ 500 $ &$ 0.00656 $ & $ 0.750 $ &$ 1.048 $ & --- & $ 2.04 $ &$ 1.79 $ &$ 1.51 $ &$ 3.10$ & $ 319$ \\ $ 500 $ &$ 0.00800 $ & $ 0.618 $ &$ 0.9954 $ & --- & $ 2.05 $ &$ 0.93 $ &$ 1.53 $ &$ 2.72$ & $ 319$ \\ $ 500 $ &$ 0.01300 $ & $ 0.380 $ &$ 0.8879 $ &$ 0.8919 $ &$ 1.46 $ &$ 0.88 $ &$ 1.52 $ &$ 2.28$ & $ 319$ \\ $ 500 $ &$ 0.02000 $ & $ 0.247 $ &$ 0.7267 $ &$ 0.7242 $ &$ 1.45 $ &$ 1.07 $ &$ 1.55 $ &$ 2.38$ & $ 319$ \\ $ 500 $ &$ 0.03200 $ & $ 0.154 $ &$ 0.6173 $ &$ 0.6131 $ &$ 1.49 $ &$ 0.99 $ &$ 1.56 $ &$ 2.38$ & $ 319$ \\ $ 500 $ &$ 0.05000 $ & $ 0.099 $ &$ 0.5375 $ &$ 0.5344 $ &$ 1.58 $ &$ 1.06 $ &$ 1.57 $ &$ 2.46$ & $ 319$ \\ $ 500 $ &$ 0.08000 $ & $ 0.062 $ &$ 0.4240 $ &$ 0.4213 $ &$ 1.78 $ &$ 1.06 $ &$ 1.64 $ &$ 2.64$ & $ 319$ \\ $ 500 $ &$ 0.13000 $ &$ 0.038 $ &$ 0.3696 $ &$ 0.3679 $ &$ 2.06 $ &$ 1.27 $ &$ 1.63 $ &$ 2.91$ & $ 319$ \\ $ 500 $ &$ 0.18000 $ &$ 0.027 $ &$ 0.3269 $ &$ 0.3253 $ &$ 2.23 $ &$ 1.76 $ &$ 1.70 $ &$ 3.31$ & $ 319$ \\ $ 500 $ &$ 0.25000 $ &$ 0.020 $ &$ 0.2545 $ &$ 0.2538 $ &$ 2.65 $ &$ 2.41 $ &$ 2.37 $ &$ 4.30$ & $ 319$ \\ $ 500 $ &$ 0.40000 $ &$ 0.012 $ &$ 0.1387 $ &$ 0.1385 $ &$ 15.42 $ &$ 12.00 $ &$ 3.65 $ &$19.87$ & $ 319$ \\ $ 500 $ &$ 0.65000 $ &$ 0.008 $ &$ 0.0267 $ &$ 0.0269 $ &$ 19.34 $ &$ 10.50 $ &$ 2.05 $ &$22.10$ & $ 319$ \\ \hline \end{tabular} \end{center} %\caption[RESULT] \captcont {\label{tab:nccombined_ele_c}continued.} %from table~\ref{tab:nccombined_ele}.} \end{table} \begin{table}[\tablepos] \begin{center} \footnotesize \begin{tabular}{|r|c|c|r|r|r|r|r|r|c|} \hline $Q^2$ & $x$ & $y$ & $\tilde{\sigma}_{\rm NC}$ & $F_{2}$ & $\delta_{\rm stat}$ & $\delta_{\rm unc}$ & $\delta_{\rm cor}$ & $\delta_{\rm tot}$ & $\sqrt{s}$ \\ $(\rm GeV^2)$ & & & & & $(\%)$ & $(\%)$ & $(\%)$ & $(\%)$ & $(\rm GeV)$ \\ \hline %bin number, x, q2, y, sigma, F2_gamma, stat, syst_uncor, syst_corr and total errors. %\input{combination_tables/p_2_515} % tables from sasha of combined HERA\,I+II NC e-p $ 650 $ &$ 0.00853 $ & $ 0.750 $ &$ 0.9854 $ & --- & $ 2.32 $ &$ 1.82 $ &$ 1.50 $ &$ 3.31$ & $ 319$ \\ $ 650 $ &$ 0.01300 $ & $ 0.494 $ &$ 0.8981 $ &$ 0.9072 $ &$ 1.65 $ &$ 0.93 $ &$ 1.51 $ &$ 2.42$ & $ 319$ \\ $ 650 $ &$ 0.02000 $ & $ 0.321 $ &$ 0.7604 $ &$ 0.7562 $ &$ 1.71 $ &$ 0.98 $ &$ 1.53 $ &$ 2.50$ & $ 319$ \\ $ 650 $ &$ 0.03200 $ & $ 0.201 $ &$ 0.6454 $ &$ 0.6389 $ &$ 1.75 $ &$ 1.27 $ &$ 1.59 $ &$ 2.69$ & $ 319$ \\ $ 650 $ &$ 0.05000 $ & $ 0.128 $ &$ 0.5368 $ &$ 0.5316 $ &$ 1.85 $ &$ 1.07 $ &$ 1.58 $ &$ 2.66$ & $ 319$ \\ $ 650 $ &$ 0.08000 $ & $ 0.080 $ &$ 0.4291 $ &$ 0.4249 $ &$ 2.10 $ &$ 1.07 $ &$ 1.59 $ &$ 2.84$ & $ 319$ \\ $ 650 $ &$ 0.13000 $ &$ 0.049 $ &$ 0.3538 $ &$ 0.3510 $ &$ 2.42 $ &$ 1.37 $ &$ 1.63 $ &$ 3.23$ & $ 319$ \\ $ 650 $ &$ 0.18000 $ &$ 0.036 $ &$ 0.3240 $ &$ 0.3215 $ &$ 2.50 $ &$ 1.60 $ &$ 1.61 $ &$ 3.38$ & $ 319$ \\ $ 650 $ &$ 0.25000 $ &$ 0.026 $ &$ 0.2524 $ &$ 0.2503 $ &$ 3.17 $ &$ 2.40 $ &$ 2.23 $ &$ 4.56$ & $ 319$ \\ $ 650 $ &$ 0.40000 $ &$ 0.016 $ &$ 0.1185 $ &$ 0.1183 $ &$ 4.85 $ &$ 3.33 $ &$ 2.74 $ &$ 6.50$ & $ 319$ \\ \hline $ 800 $ &$ 0.01050 $ & $ 0.750 $ &$ 0.9536 $ & --- & $ 2.69 $ &$ 1.87 $ &$ 1.50 $ &$ 3.61$ & $ 319$ \\ $ 800 $ &$ 0.01300 $ & $ 0.608 $ &$ 0.8883 $ & --- & $ 2.77 $ &$ 1.04 $ &$ 1.52 $ &$ 3.33$ & $ 319$ \\ $ 800 $ &$ 0.02000 $ & $ 0.395 $ &$ 0.7309 $ &$ 0.7267 $ &$ 1.99 $ &$ 1.01 $ &$ 1.50 $ &$ 2.69$ & $ 319$ \\ $ 800 $ &$ 0.03200 $ & $ 0.247 $ &$ 0.6300 $ &$ 0.6218 $ &$ 2.08 $ &$ 1.25 $ &$ 1.54 $ &$ 2.88$ & $ 319$ \\ $ 800 $ &$ 0.05000 $ & $ 0.158 $ &$ 0.5504 $ &$ 0.5423 $ &$ 2.15 $ &$ 0.98 $ &$ 1.52 $ &$ 2.81$ & $ 319$ \\ $ 800 $ &$ 0.08000 $ & $ 0.099 $ &$ 0.4280 $ &$ 0.4224 $ &$ 2.42 $ &$ 1.10 $ &$ 1.58 $ &$ 3.09$ & $ 319$ \\ $ 800 $ &$ 0.13000 $ &$ 0.061 $ &$ 0.3526 $ &$ 0.3489 $ &$ 2.92 $ &$ 1.35 $ &$ 1.61 $ &$ 3.60$ & $ 319$ \\ $ 800 $ &$ 0.18000 $ &$ 0.044 $ &$ 0.3164 $ &$ 0.3127 $ &$ 3.09 $ &$ 1.68 $ &$ 1.63 $ &$ 3.88$ & $ 319$ \\ $ 800 $ &$ 0.25000 $ &$ 0.032 $ &$ 0.2380 $ &$ 0.2358 $ &$ 3.64 $ &$ 2.03 $ &$ 1.84 $ &$ 4.55$ & $ 319$ \\ $ 800 $ &$ 0.40000 $ &$ 0.020 $ &$ 0.1311 $ &$ 0.1300 $ &$ 4.84 $ &$ 3.86 $ &$ 3.28 $ &$ 7.00$ & $ 319$ \\ $ 800 $ &$ 0.65000 $ &$ 0.012 $ &$ 0.0149 $ &$ 0.0149 $ &$ 21.85 $ &$ 12.50 $ &$ 3.30 $ &$25.39$ & $ 319$ \\ \hline $ 1000 $ &$ 0.01300 $ & $ 0.750 $ &$ 0.8500 $ & --- & $ 2.75 $ &$ 1.50 $ &$ 1.91 $ &$ 3.67$ & $ 319$ \\ $ 1000 $ &$ 0.02000 $ & $ 0.494 $ &$ 0.7604 $ &$ 0.7552 $ &$ 2.29 $ &$ 0.96 $ &$ 1.51 $ &$ 2.91$ & $ 319$ \\ $ 1000 $ &$ 0.03200 $ & $ 0.309 $ &$ 0.6503 $ &$ 0.6380 $ &$ 2.31 $ &$ 1.05 $ &$ 1.51 $ &$ 2.96$ & $ 319$ \\ $ 1000 $ &$ 0.05000 $ & $ 0.198 $ &$ 0.5124 $ &$ 0.5017 $ &$ 2.49 $ &$ 1.38 $ &$ 1.56 $ &$ 3.24$ & $ 319$ \\ $ 1000 $ &$ 0.08000 $ & $ 0.124 $ &$ 0.4330 $ &$ 0.4248 $ &$ 2.72 $ &$ 1.01 $ &$ 1.54 $ &$ 3.28$ & $ 319$ \\ $ 1000 $ &$ 0.13000 $ &$ 0.076 $ &$ 0.3621 $ &$ 0.3560 $ &$ 3.21 $ &$ 1.30 $ &$ 1.59 $ &$ 3.81$ & $ 319$ \\ $ 1000 $ &$ 0.18000 $ &$ 0.055 $ &$ 0.3355 $ &$ 0.3310 $ &$ 3.25 $ &$ 1.60 $ &$ 1.57 $ &$ 3.95$ & $ 319$ \\ $ 1000 $ &$ 0.25000 $ &$ 0.040 $ &$ 0.2707 $ &$ 0.2674 $ &$ 3.61 $ &$ 1.97 $ &$ 1.77 $ &$ 4.48$ & $ 319$ \\ $ 1000 $ &$ 0.40000 $ &$ 0.025 $ &$ 0.1283 $ &$ 0.1266 $ &$ 5.26 $ &$ 4.02 $ &$ 3.16 $ &$ 7.33$ & $ 319$ \\ \hline $ 1200 $ &$ 0.01300 $ & $ 0.912 $ &$ 0.8891 $ & --- & $ 4.58 $ &$ 2.03 $ &$ 2.23 $ &$ 5.48$ & $ 319$ \\ $ 1200 $ &$ 0.02000 $ & $ 0.593 $ &$ 0.7801 $ & --- & $ 2.81 $ &$ 1.06 $ &$ 1.53 $ &$ 3.37$ & $ 319$ \\ $ 1200 $ &$ 0.03200 $ & $ 0.371 $ &$ 0.6749 $ &$ 0.6585 $ &$ 2.60 $ &$ 0.91 $ &$ 1.51 $ &$ 3.14$ & $ 319$ \\ $ 1200 $ &$ 0.05000 $ & $ 0.237 $ &$ 0.5432 $ &$ 0.5282 $ &$ 2.74 $ &$ 1.13 $ &$ 1.51 $ &$ 3.33$ & $ 319$ \\ $ 1200 $ &$ 0.08000 $ & $ 0.148 $ &$ 0.4518 $ &$ 0.4405 $ &$ 2.95 $ &$ 1.23 $ &$ 1.55 $ &$ 3.55$ & $ 319$ \\ $ 1200 $ &$ 0.13000 $ &$ 0.091 $ &$ 0.3533 $ &$ 0.3451 $ &$ 4.04 $ &$ 1.37 $ &$ 1.54 $ &$ 4.54$ & $ 319$ \\ $ 1200 $ &$ 0.18000 $ &$ 0.066 $ &$ 0.3113 $ &$ 0.3048 $ &$ 3.77 $ &$ 1.60 $ &$ 1.57 $ &$ 4.39$ & $ 319$ \\ $ 1200 $ &$ 0.25000 $ &$ 0.047 $ &$ 0.2209 $ &$ 0.2171 $ &$ 4.40 $ &$ 1.90 $ &$ 1.62 $ &$ 5.06$ & $ 319$ \\ $ 1200 $ &$ 0.40000 $ &$ 0.030 $ &$ 0.1272 $ &$ 0.1252 $ &$ 5.58 $ &$ 4.04 $ &$ 2.92 $ &$ 7.48$ & $ 319$ \\ \hline \end{tabular} \end{center} %\caption[RESULT] \captcont {continued.} %from table~\ref{tab:nccombined_ele}.} \end{table} % table 29 continued \begin{table}[\tablepos] \begin{center} \footnotesize \begin{tabular}{|r|c|c|r|r|r|r|r|r|c|} \hline $Q^2$ & $x$ & $y$ & $\tilde{\sigma}_{\rm NC}$ & $F_{2}$ & $\delta_{\rm stat}$ & $\delta_{\rm unc}$ & $\delta_{\rm cor}$ & $\delta_{\rm tot}$ & $\sqrt{s}$ \\ $(\rm GeV^2)$ & & & & & $(\%)$ & $(\%)$ & $(\%)$ & $(\%)$ & $(\rm GeV)$ \\ \hline %bin number, x, q2, y, sigma, F2_gamma, stat, syst_uncor, syst_corr and total errors. %\input{combination_tables/p_3_515} % tables from sasha of combined HERA\,I+II NC e-p $ 1500 $ &$ 0.02000 $ & $ 0.750 $ &$ 0.7971 $ & --- & $ 3.41 $ &$ 1.58 $ &$ 1.74 $ &$ 4.14$ & $ 319$ \\ $ 1500 $ &$ 0.03200 $ & $ 0.463 $ &$ 0.6714 $ &$ 0.6482 $ &$ 3.20 $ &$ 0.99 $ &$ 1.51 $ &$ 3.68$ & $ 319$ \\ $ 1500 $ &$ 0.05000 $ & $ 0.296 $ &$ 0.5489 $ &$ 0.5277 $ &$ 3.18 $ &$ 1.15 $ &$ 1.51 $ &$ 3.70$ & $ 319$ \\ $ 1500 $ &$ 0.08000 $ & $ 0.185 $ &$ 0.4925 $ &$ 0.4750 $ &$ 3.23 $ &$ 1.11 $ &$ 1.53 $ &$ 3.74$ & $ 319$ \\ $ 1500 $ &$ 0.13000 $ &$ 0.114 $ &$ 0.3524 $ &$ 0.3409 $ &$ 4.47 $ &$ 1.49 $ &$ 1.56 $ &$ 4.96$ & $ 319$ \\ $ 1500 $ &$ 0.18000 $ &$ 0.082 $ &$ 0.2950 $ &$ 0.2867 $ &$ 4.44 $ &$ 1.70 $ &$ 1.57 $ &$ 5.01$ & $ 319$ \\ $ 1500 $ &$ 0.25000 $ &$ 0.059 $ &$ 0.2368 $ &$ 0.2312 $ &$ 4.76 $ &$ 2.10 $ &$ 1.64 $ &$ 5.45$ & $ 319$ \\ $ 1500 $ &$ 0.40000 $ &$ 0.037 $ &$ 0.1257 $ &$ 0.1235 $ &$ 7.01 $ &$ 3.66 $ &$ 2.48 $ &$ 8.29$ & $ 319$ \\ $ 1500 $ &$ 0.65000 $ &$ 0.023 $ &$ 0.0143 $ &$ 0.0138 $ &$ 11.62 $ &$ 6.34 $ &$ 5.49 $ &$14.33$ & $ 319$ \\ \hline $ 2000 $ &$ 0.02190 $ & $ 0.903 $ &$ 0.8634 $ & --- & $ 5.51 $ &$ 2.19 $ &$ 2.16 $ &$ 6.31$ & $ 319$ \\ $ 2000 $ &$ 0.03200 $ & $ 0.618 $ &$ 0.6541 $ & --- & $ 3.78 $ &$ 1.33 $ &$ 1.52 $ &$ 4.28$ & $ 319$ \\ $ 2000 $ &$ 0.05000 $ & $ 0.395 $ &$ 0.5458 $ &$ 0.5127 $ &$ 3.87 $ &$ 1.05 $ &$ 1.51 $ &$ 4.29$ & $ 319$ \\ $ 2000 $ &$ 0.08000 $ & $ 0.247 $ &$ 0.4551 $ &$ 0.4289 $ &$ 3.89 $ &$ 1.25 $ &$ 1.53 $ &$ 4.36$ & $ 319$ \\ $ 2000 $ &$ 0.13000 $ &$ 0.152 $ &$ 0.3410 $ &$ 0.3241 $ &$ 4.88 $ &$ 1.45 $ &$ 1.53 $ &$ 5.31$ & $ 319$ \\ $ 2000 $ &$ 0.18000 $ &$ 0.110 $ &$ 0.2934 $ &$ 0.2802 $ &$ 5.23 $ &$ 1.96 $ &$ 1.60 $ &$ 5.81$ & $ 319$ \\ $ 2000 $ &$ 0.25000 $ &$ 0.079 $ &$ 0.2413 $ &$ 0.2318 $ &$ 5.40 $ &$ 2.03 $ &$ 1.62 $ &$ 5.99$ & $ 319$ \\ $ 2000 $ &$ 0.40000 $ &$ 0.049 $ &$ 0.1240 $ &$ 0.1202 $ &$ 6.83 $ &$ 3.42 $ &$ 2.21 $ &$ 7.95$ & $ 319$ \\ $ 2000 $ &$ 0.65000 $ &$ 0.030 $ &$ 0.0100 $ &$ 0.0098 $ &$ 16.63 $ &$ 7.84 $ &$ 5.67 $ &$19.24$ & $ 319$ \\ \hline $ 3000 $ &$ 0.03200 $ & $ 0.926 $ &$ 0.7216 $ & --- & $ 3.75 $ &$ 1.74 $ &$ 1.64 $ &$ 4.45$ & $ 319$ \\ $ 3000 $ &$ 0.05000 $ & $ 0.593 $ &$ 0.5920 $ & --- & $ 3.15 $ &$ 1.32 $ &$ 1.51 $ &$ 3.73$ & $ 319$ \\ $ 3000 $ &$ 0.08000 $ & $ 0.371 $ &$ 0.4964 $ &$ 0.4436 $ &$ 3.43 $ &$ 1.19 $ &$ 1.50 $ &$ 3.93$ & $ 319$ \\ $ 3000 $ &$ 0.13000 $ &$ 0.228 $ &$ 0.4036 $ &$ 0.3673 $ &$ 4.11 $ &$ 1.52 $ &$ 1.51 $ &$ 4.64$ & $ 319$ \\ $ 3000 $ &$ 0.18000 $ &$ 0.165 $ &$ 0.3003 $ &$ 0.2761 $ &$ 4.76 $ &$ 1.70 $ &$ 1.57 $ &$ 5.30$ & $ 319$ \\ $ 3000 $ &$ 0.25000 $ &$ 0.119 $ &$ 0.2386 $ &$ 0.2226 $ &$ 4.95 $ &$ 2.01 $ &$ 1.62 $ &$ 5.58$ & $ 319$ \\ $ 3000 $ &$ 0.40000 $ &$ 0.074 $ &$ 0.1162 $ &$ 0.1096 $ &$ 6.17 $ &$ 3.55 $ &$ 2.10 $ &$ 7.42$ & $ 319$ \\ $ 3000 $ &$ 0.65000 $ &$ 0.046 $ &$ 0.0108 $ &$ 0.0105 $ &$ 13.29 $ &$ 7.21 $ &$ 4.95 $ &$15.91$ & $ 319$ \\ \hline $ 5000 $ &$ 0.05470 $ & $ 0.903 $ &$ 0.6322 $ & --- & $ 5.01 $ &$ 1.90 $ &$ 1.62 $ &$ 5.60$ & $ 319$ \\ $ 5000 $ &$ 0.08000 $ & $ 0.618 $ &$ 0.5384 $ & --- & $ 3.69 $ &$ 1.42 $ &$ 1.51 $ &$ 4.23$ & $ 319$ \\ $ 5000 $ &$ 0.13000 $ &$ 0.380 $ &$ 0.4658 $ &$ 0.3819 $ &$ 4.18 $ &$ 1.62 $ &$ 1.51 $ &$ 4.73$ & $ 319$ \\ $ 5000 $ &$ 0.18000 $ &$ 0.274 $ &$ 0.3782 $ &$ 0.3183 $ &$ 4.78 $ &$ 1.66 $ &$ 1.49 $ &$ 5.28$ & $ 319$ \\ $ 5000 $ &$ 0.25000 $ &$ 0.198 $ &$ 0.2451 $ &$ 0.2118 $ &$ 7.02 $ &$ 2.19 $ &$ 1.62 $ &$ 7.53$ & $ 319$ \\ $ 5000 $ &$ 0.40000 $ &$ 0.124 $ &$ 0.1147 $ &$ 0.1027 $ &$ 7.51 $ &$ 3.20 $ &$ 1.87 $ &$ 8.38$ & $ 319$ \\ $ 5000 $ &$ 0.65000 $ &$ 0.076 $ &$ 0.0136 $ &$ 0.0128 $ &$ 13.00 $ &$ 6.38 $ &$ 3.43 $ &$14.88$ & $ 319$ \\ \hline \end{tabular} \end{center} %\caption[RESULT] \captcont {continued.}% from tables~\ref{tab:nccombined_ele} and \ref{tab:nccombined_ele_c}.} \end{table} \begin{table}[\tablepos] \begin{center} \footnotesize \begin{tabular}{|r|c|c|r|r|r|r|r|r|c|} \hline $Q^2$ & $x$ & $y$ & $\tilde{\sigma}_{\rm NC}$ & $F_{2}$ & $\delta_{\rm stat}$ & $\delta_{\rm unc}$ & $\delta_{\rm cor}$ & $\delta_{\rm tot}$ & $\sqrt{s}$ \\ $(\rm GeV^2)$ & & & & & $(\%)$ & $(\%)$ & $(\%)$ & $(\%)$ & $(\rm GeV)$ \\ \hline %bin number, x, q2, y, sigma, F2_gamma, stat, syst_uncor, syst_corr and total errors. %\input{combination_tables/p_4_515} % tables from sasha of combined HERA\,I+II NC e-p $ 8000 $ &$ 0.08750 $ & $ 0.903 $ &$ 0.6314 $ & --- & $ 7.40 $ &$ 2.49 $ &$ 1.80 $ &$ 8.01$ & $ 319$ \\ $ 8000 $ &$ 0.13000 $ &$ 0.608 $ &$ 0.5309 $ & --- & $ 5.55 $ &$ 2.10 $ &$ 1.52 $ &$ 6.12$ & $ 319$ \\ $ 8000 $ &$ 0.18000 $ &$ 0.439 $ &$ 0.3795 $ &$ 0.2781 $ &$ 6.23 $ &$ 2.00 $ &$ 1.50 $ &$ 6.71$ & $ 319$ \\ $ 8000 $ &$ 0.25000 $ &$ 0.316 $ &$ 0.2627 $ &$ 0.2022 $ &$ 7.12 $ &$ 2.33 $ &$ 1.57 $ &$ 7.65$ & $ 319$ \\ $ 8000 $ &$ 0.40000 $ &$ 0.198 $ &$ 0.1231 $ &$ 0.1006 $ &$ 9.69 $ &$ 4.35 $ &$ 2.09 $ &$10.83$ & $ 319$ \\ $ 8000 $ &$ 0.65000 $ &$ 0.122 $ &$ 0.0123 $ &$ 0.0103 $ &$ 16.69 $ &$ 6.54 $ &$ 2.85 $ &$18.15$ & $ 319$ \\ \hline $12000 $ &$ 0.13000 $ &$ 0.912 $ &$ 0.7179 $ & --- & $ 12.73 $ &$ 3.66 $ &$ 1.99 $ &$13.40$ & $ 319$ \\ $12000 $ &$ 0.18000 $ &$ 0.675 $ &$ 0.4894 $ & --- & $ 7.88 $ &$ 2.10 $ &$ 1.52 $ &$ 8.30$ & $ 319$ \\ $12000 $ &$ 0.25000 $ &$ 0.474 $ &$ 0.3075 $ &$ 0.2042 $ &$ 8.74 $ &$ 2.37 $ &$ 1.53 $ &$ 9.18$ & $ 319$ \\ $12000 $ &$ 0.40000 $ &$ 0.296 $ &$ 0.1825 $ &$ 0.1339 $ &$ 10.41 $ &$ 4.73 $ &$ 2.02 $ &$11.61$ & $ 319$ \\ $12000 $ &$ 0.65000 $ &$ 0.182 $ &$ 0.0139 $ &$ 0.0111 $ &$ 23.27 $ &$ 6.34 $ &$ 2.76 $ &$24.27$ & $ 319$ \\ \hline $20000 $ &$ 0.25000 $ &$ 0.800 $ &$ 0.4632 $ & --- & $ 11.94 $ &$ 2.72 $ &$ 1.71 $ &$12.36$ & $ 319$ \\ $20000 $ &$ 0.40000 $ &$ 0.494 $ &$ 0.2142 $ &$ 0.1291 $ &$ 12.94 $ &$ 4.32 $ &$ 1.67 $ &$13.74$ & $ 319$ \\ $20000 $ &$ 0.65000 $ &$ 0.304 $ &$ 0.0162 $ &$ 0.0110 $ &$ 31.41 $ &$ 14.49 $ &$ 3.87 $ &$34.81$ & $ 319$ \\ \hline $30000 $ &$ 0.40000 $ &$ 0.750 $ &$ 0.2036 $ & --- & $ 25.44 $ &$ 5.43 $ &$ 2.24 $ &$26.11$ & $ 319$ \\ $30000 $ &$ 0.65000 $ &$ 0.456 $ &$ 0.0417 $ &$ 0.0250 $ &$ 30.95 $ &$ 11.34 $ &$ 3.26 $ &$33.12$ & $ 319$ \\ \hline $50000 $ &$ 0.65000 $ &$ 0.750 $ &$ 0.0780 $ & --- & $ 56.70 $ &$ 10.55 $ &$ 2.71 $ &$57.74$ & $ 319$ \\ \hline \end{tabular} \end{center} %\caption[RESULT] \captcont {continued.}% from tables~\ref{tab:nccombined_ele} and \ref{tab:nccombined_ele_c}.} \end{table} \renewcommand{\arraystretch}{1.22} % table 30 \begin{table}[\tablepos] \begin{center} \footnotesize %\tiny \begin{tabular}{|r|c|c|r|r|r|r|r|r|c|} \hline $Q^2$ & $x$ & $y$ & $\tilde{\sigma}_{\rm NC}$ & $F_{2}$ & $\delta_{\rm stat}$ & $\delta_{\rm unc}$ & $\delta_{\rm cor}$ & $\delta_{\rm tot}$ & $\sqrt{s}$ \\ $(\rm GeV^2)$ & & & & & $(\%)$ & $(\%)$ & $(\%)$ & $(\%)$ & $(\rm GeV)$ \\ \hline %bin number, x, q2, y, sigma, F2_gamma, stat, syst_uncor, syst_corr and total errors. %\input{combination_tables/p_1_615} % tables from sasha of combined HERA\,I+II NC e+p $ 60 $ &$ 0.00080 $ & $ 0.750 $ &$ 1.486 $ & --- & $ 0.87 $ &$ 1.86 $ &$ 1.21 $ &$ 2.39$ & $ 319$ \\ \hline $ 90 $ &$ 0.00118 $ & $ 0.750 $ &$ 1.491 $ & --- & $ 0.71 $ &$ 1.64 $ &$ 1.17 $ &$ 2.14$ & $ 319$ \\ \hline $ 100 $ &$ 0.00131 $ & $ 0.750 $ &$ 1.438 $ & --- & $ 1.61 $ &$ 3.50 $ &$ 1.49 $ &$ 4.13$ & $ 319$ \\ $ 100 $ &$ 0.00200 $ & $ 0.494 $ &$ 1.374 $ &$ 1.423 $ &$ 1.41 $ &$ 2.10 $ &$ 1.46 $ &$ 2.92$ & $ 319$ \\ \hline $ 120 $ &$ 0.00158 $ & $ 0.750 $ &$ 1.407 $ & --- & $ 0.77 $ &$ 1.45 $ &$ 1.15 $ &$ 2.00$ & $ 319$ \\ $ 120 $ &$ 0.00200 $ & $ 0.593 $ &$ 1.356 $ & --- & $ 0.59 $ &$ 0.74 $ &$ 1.35 $ &$ 1.65$ & $ 319$ \\ $ 120 $ &$ 0.00320 $ & $ 0.371 $ &$ 1.218 $ &$ 1.238 $ &$ 0.76 $ &$ 0.90 $ &$ 1.13 $ &$ 1.63$ & $ 319$ \\ \hline $ 150 $ &$ 0.00197 $ & $ 0.750 $ &$ 1.381 $ & --- & $ 0.88 $ &$ 1.51 $ &$ 1.13 $ &$ 2.08$ & $ 319$ \\ $ 150 $ &$ 0.00320 $ & $ 0.520 $ &$ 1.229 $ &$ 1.264 $ &$ 1.81 $ &$ 4.90 $ &$ 1.32 $ &$ 5.39$ & $ 301$ \\ $ 150 $ &$ 0.00320 $ & $ 0.463 $ &$ 1.233 $ &$ 1.267 $ &$ 0.50 $ &$ 0.75 $ &$ 1.17 $ &$ 1.48$ & $ 319$ \\ $ 150 $ &$ 0.00500 $ & $ 0.296 $ &$ 1.087 $ &$ 1.097 $ &$ 0.55 $ &$ 0.92 $ &$ 1.09 $ &$ 1.53$ & $ 319$ \\ $ 150 $ &$ 0.00800 $ & $ 0.185 $ &$ 0.9518 $ &$ 0.9545 $ &$ 0.77 $ &$ 1.50 $ &$ 1.16 $ &$ 2.05$ & $ 319$ \\ $ 150 $ &$ 0.01300 $ & $ 0.114 $ &$ 0.7954 $ &$ 0.7953 $ &$ 1.27 $ &$ 2.72 $ &$ 1.68 $ &$ 3.44$ & $ 319$ \\ \hline $ 200 $ &$ 0.00263 $ & $ 0.750 $ &$ 1.306 $ & --- & $ 1.09 $ &$ 1.56 $ &$ 1.11 $ &$ 2.21$ & $ 319$ \\ $ 200 $ &$ 0.00320 $ & $ 0.618 $ &$ 1.241 $ & --- & $ 0.92 $ &$ 0.71 $ &$ 1.25 $ &$ 1.71$ & $ 319$ \\ $ 200 $ &$ 0.00500 $ & $ 0.443 $ &$ 1.083 $ &$ 1.102 $ &$ 1.82 $ &$ 4.70 $ &$ 1.27 $ &$ 5.20$ & $ 301$ \\ $ 200 $ &$ 0.00500 $ & $ 0.395 $ &$ 1.102 $ &$ 1.122 $ &$ 0.63 $ &$ 0.78 $ &$ 1.11 $ &$ 1.50$ & $ 319$ \\ $ 200 $ &$ 0.00800 $ & $ 0.247 $ &$ 0.9490 $ &$ 0.9539 $ &$ 0.60 $ &$ 1.03 $ &$ 1.11 $ &$ 1.63$ & $ 319$ \\ $ 200 $ &$ 0.01300 $ & $ 0.152 $ &$ 0.8001 $ &$ 0.8009 $ &$ 0.70 $ &$ 0.65 $ &$ 1.08 $ &$ 1.44$ & $ 319$ \\ $ 200 $ &$ 0.02000 $ & $ 0.099 $ &$ 0.6987 $ &$ 0.6989 $ &$ 0.76 $ &$ 0.89 $ &$ 1.08 $ &$ 1.59$ & $ 319$ \\ $ 200 $ &$ 0.03200 $ & $ 0.062 $ &$ 0.5885 $ &$ 0.5886 $ &$ 0.87 $ &$ 1.16 $ &$ 1.10 $ &$ 1.83$ & $ 319$ \\ $ 200 $ &$ 0.05000 $ & $ 0.040 $ &$ 0.5152 $ &$ 0.5146 $ &$ 0.99 $ &$ 1.57 $ &$ 1.36 $ &$ 2.30$ & $ 319$ \\ $ 200 $ &$ 0.08000 $ & $ 0.025 $ &$ 0.4298 $ &$ 0.4296 $ &$ 1.10 $ &$ 1.69 $ &$ 1.40 $ &$ 2.46$ & $ 319$ \\ $ 200 $ &$ 0.13000 $ &$ 0.015 $ &$ 0.3600 $ &$ 0.3597 $ &$ 1.28 $ &$ 1.84 $ &$ 1.34 $ &$ 2.61$ & $ 319$ \\ $ 200 $ &$ 0.18000 $ &$ 0.011 $ &$ 0.3136 $ &$ 0.3137 $ &$ 1.97 $ &$ 2.88 $ &$ 1.47 $ &$ 3.79$ & $ 319$ \\ $ 200 $ &$ 0.25000 $ &$ 0.008 $ &$ 0.2701 $ &$ 0.2697 $ &$ 3.62 $ &$ 4.20 $ &$ 2.61 $ &$ 6.13$ & $ 319$ \\ $ 200 $ &$ 0.40000 $ &$ 0.005 $ &$ 0.1358 $ &$ 0.1359 $ &$ 4.66 $ &$ 4.29 $ &$ 4.83 $ &$ 7.96$ & $ 319$ \\ \hline \hline \end{tabular} \end{center} \caption[RESULT] { Combined HERA\,I+II NC $e^+p$ reduced cross sections for $P_e=0$. Here $F_2$ is the dominant electromagnetic structure function and $\delta_{\rm stat}$, $\delta_{\rm unc}$, $\delta_{\rm cor}$ and $\delta_{\rm tot}$ are the relative statistical, total uncorrelated, correlated systematic and total uncertainties, respectively. The table continues on the next pages.} \label{tab:nccombined_pos} \end{table} % table 30 \begin{table}[\tablepos] \begin{center} \footnotesize %\tiny \begin{tabular}{|r|c|c|r|r|r|r|r|r|c|} \hline $Q^2$ & $x$ & $y$ & $\tilde{\sigma}_{\rm NC}$ & $F_{2}$ & $\delta_{\rm stat}$ & $\delta_{\rm unc}$ & $\delta_{\rm cor}$ & $\delta_{\rm tot}$ & $\sqrt{s}$ \\ $(\rm GeV^2)$ & & & & & $(\%)$ & $(\%)$ & $(\%)$ & $(\%)$ & $(\rm GeV)$ \\ \hline %bin number, x, q2, y, sigma, F2_gamma, stat, syst_uncor, syst_corr and total errors. %\input{combination_tables/p_1a_615} % tables from sasha of combined HERA\,I+II NC e+p $ 250 $ &$ 0.00328 $ & $ 0.750 $ &$ 1.278 $ & --- & $ 1.24 $ &$ 1.55 $ &$ 1.12 $ &$ 2.27$ & $ 319$ \\ $ 250 $ &$ 0.00500 $ & $ 0.554 $ &$ 1.102 $ &$ 1.136 $ &$ 2.31 $ &$ 4.90 $ &$ 1.31 $ &$ 5.57$ & $ 301$ \\ $ 250 $ &$ 0.00500 $ & $ 0.494 $ &$ 1.124 $ &$ 1.158 $ &$ 0.75 $ &$ 0.69 $ &$ 1.12 $ &$ 1.52$ & $ 319$ \\ $ 250 $ &$ 0.00800 $ & $ 0.309 $ &$ 0.9611 $ &$ 0.9695 $ &$ 0.68 $ &$ 0.82 $ &$ 1.10 $ &$ 1.53$ & $ 319$ \\ $ 250 $ &$ 0.01300 $ & $ 0.190 $ &$ 0.8127 $ &$ 0.8147 $ &$ 0.74 $ &$ 0.99 $ &$ 1.13 $ &$ 1.67$ & $ 319$ \\ $ 250 $ &$ 0.02000 $ & $ 0.124 $ &$ 0.6982 $ &$ 0.6981 $ &$ 0.74 $ &$ 1.08 $ &$ 1.12 $ &$ 1.73$ & $ 319$ \\ $ 250 $ &$ 0.03200 $ & $ 0.077 $ &$ 0.5815 $ &$ 0.5806 $ &$ 0.79 $ &$ 1.02 $ &$ 1.12 $ &$ 1.71$ & $ 319$ \\ $ 250 $ &$ 0.05000 $ & $ 0.049 $ &$ 0.5062 $ &$ 0.5055 $ &$ 0.86 $ &$ 1.01 $ &$ 1.20 $ &$ 1.79$ & $ 319$ \\ $ 250 $ &$ 0.08000 $ & $ 0.031 $ &$ 0.4323 $ &$ 0.4315 $ &$ 0.92 $ &$ 0.90 $ &$ 1.35 $ &$ 1.86$ & $ 319$ \\ $ 250 $ &$ 0.13000 $ &$ 0.019 $ &$ 0.3606 $ &$ 0.3606 $ &$ 0.99 $ &$ 1.45 $ &$ 1.18 $ &$ 2.11$ & $ 319$ \\ $ 250 $ &$ 0.18000 $ &$ 0.014 $ &$ 0.2988 $ &$ 0.2986 $ &$ 1.60 $ &$ 2.71 $ &$ 1.76 $ &$ 3.61$ & $ 319$ \\ $ 250 $ &$ 0.25000 $ &$ 0.010 $ &$ 0.2600 $ &$ 0.2597 $ &$ 2.14 $ &$ 3.68 $ &$ 2.31 $ &$ 4.85$ & $ 319$ \\ $ 250 $ &$ 0.40000 $ &$ 0.006 $ &$ 0.1360 $ &$ 0.1358 $ &$ 3.17 $ &$ 3.97 $ &$ 4.34 $ &$ 6.68$ & $ 319$ \\ \hline $ 300 $ &$ 0.00394 $ & $ 0.750 $ &$ 1.216 $ & --- & $ 1.39 $ &$ 1.55 $ &$ 1.10 $ &$ 2.35$ & $ 319$ \\ $ 300 $ &$ 0.00500 $ & $ 0.675 $ &$ 1.146 $ & --- & $ 3.39 $ &$ 5.20 $ &$ 1.49 $ &$ 6.38$ & $ 301$ \\ $ 300 $ &$ 0.00500 $ & $ 0.593 $ &$ 1.140 $ & --- & $ 1.25 $ &$ 0.81 $ &$ 1.18 $ &$ 1.90$ & $ 319$ \\ $ 300 $ &$ 0.00800 $ & $ 0.416 $ &$ 0.9717 $ &$ 0.9852 $ &$ 2.42 $ &$ 4.90 $ &$ 1.25 $ &$ 5.61$ & $ 301$ \\ $ 300 $ &$ 0.00800 $ & $ 0.371 $ &$ 0.9765 $ &$ 0.9903 $ &$ 0.85 $ &$ 0.71 $ &$ 1.09 $ &$ 1.55$ & $ 319$ \\ $ 300 $ &$ 0.01300 $ & $ 0.228 $ &$ 0.8137 $ &$ 0.8168 $ &$ 0.80 $ &$ 0.84 $ &$ 1.11 $ &$ 1.60$ & $ 319$ \\ $ 300 $ &$ 0.02000 $ & $ 0.148 $ &$ 0.7119 $ &$ 0.7124 $ &$ 0.88 $ &$ 0.82 $ &$ 1.10 $ &$ 1.63$ & $ 319$ \\ $ 300 $ &$ 0.03200 $ & $ 0.093 $ &$ 0.5905 $ &$ 0.5906 $ &$ 0.91 $ &$ 0.97 $ &$ 1.12 $ &$ 1.74$ & $ 319$ \\ $ 300 $ &$ 0.05000 $ & $ 0.059 $ &$ 0.4945 $ &$ 0.4935 $ &$ 0.98 $ &$ 1.09 $ &$ 1.15 $ &$ 1.86$ & $ 319$ \\ $ 300 $ &$ 0.08000 $ & $ 0.037 $ &$ 0.4398 $ &$ 0.4395 $ &$ 1.01 $ &$ 1.19 $ &$ 1.35 $ &$ 2.06$ & $ 319$ \\ $ 300 $ &$ 0.13000 $ &$ 0.023 $ &$ 0.3645 $ &$ 0.3635 $ &$ 1.06 $ &$ 1.59 $ &$ 1.21 $ &$ 2.26$ & $ 319$ \\ $ 300 $ &$ 0.18000 $ &$ 0.016 $ &$ 0.3090 $ &$ 0.3085 $ &$ 1.66 $ &$ 2.89 $ &$ 1.98 $ &$ 3.88$ & $ 319$ \\ $ 300 $ &$ 0.25000 $ &$ 0.012 $ &$ 0.2586 $ &$ 0.2586 $ &$ 2.14 $ &$ 4.45 $ &$ 2.54 $ &$ 5.55$ & $ 319$ \\ $ 300 $ &$ 0.40000 $ &$ 0.007 $ &$ 0.1510 $ &$ 0.1507 $ &$ 1.78 $ &$ 3.03 $ &$ 2.97 $ &$ 4.60$ & $ 319$ \\ \hline $ 400 $ &$ 0.00525 $ & $ 0.750 $ &$ 1.180 $ & --- & $ 1.48 $ &$ 1.58 $ &$ 1.08 $ &$ 2.42$ & $ 319$ \\ $ 400 $ &$ 0.00800 $ & $ 0.554 $ &$ 0.9617 $ &$ 0.9883 $ &$ 3.12 $ &$ 4.90 $ &$ 1.29 $ &$ 5.95$ & $ 301$ \\ $ 400 $ &$ 0.00800 $ & $ 0.494 $ &$ 1.005 $ &$ 1.033 $ &$ 1.05 $ &$ 0.73 $ &$ 1.11 $ &$ 1.69$ & $ 319$ \\ $ 400 $ &$ 0.01300 $ & $ 0.304 $ &$ 0.8547 $ &$ 0.8612 $ &$ 0.93 $ &$ 0.77 $ &$ 1.09 $ &$ 1.63$ & $ 319$ \\ $ 400 $ &$ 0.02000 $ & $ 0.198 $ &$ 0.7149 $ &$ 0.7162 $ &$ 0.95 $ &$ 0.98 $ &$ 1.13 $ &$ 1.77$ & $ 319$ \\ $ 400 $ &$ 0.03200 $ & $ 0.124 $ &$ 0.5991 $ &$ 0.5988 $ &$ 1.02 $ &$ 0.82 $ &$ 1.11 $ &$ 1.72$ & $ 319$ \\ $ 400 $ &$ 0.05000 $ & $ 0.079 $ &$ 0.5017 $ &$ 0.5014 $ &$ 1.11 $ &$ 0.96 $ &$ 1.15 $ &$ 1.86$ & $ 319$ \\ $ 400 $ &$ 0.08000 $ & $ 0.049 $ &$ 0.4335 $ &$ 0.4334 $ &$ 1.17 $ &$ 0.85 $ &$ 1.32 $ &$ 1.96$ & $ 319$ \\ $ 400 $ &$ 0.13000 $ &$ 0.030 $ &$ 0.3585 $ &$ 0.3574 $ &$ 1.17 $ &$ 1.17 $ &$ 1.16 $ &$ 2.02$ & $ 319$ \\ $ 400 $ &$ 0.18000 $ &$ 0.022 $ &$ 0.3078 $ &$ 0.3074 $ &$ 1.84 $ &$ 2.40 $ &$ 2.02 $ &$ 3.63$ & $ 319$ \\ $ 400 $ &$ 0.25000 $ &$ 0.016 $ &$ 0.2455 $ &$ 0.2445 $ &$ 2.39 $ &$ 3.23 $ &$ 2.18 $ &$ 4.57$ & $ 319$ \\ $ 400 $ &$ 0.40000 $ &$ 0.010 $ &$ 0.1525 $ &$ 0.1527 $ &$ 2.00 $ &$ 2.45 $ &$ 3.10 $ &$ 4.43$ & $ 319$ \\ \hline \end{tabular} \end{center} %\caption[RESULT] \captcont{\label{tab:nccombined_pos_c}continued.}% from table~\ref{tab:nccombined_pos}.} \end{table} % table 30 \begin{table}[\tablepos] \begin{center} \footnotesize %\tiny \begin{tabular}{|r|c|c|r|r|r|r|r|r|c|} \hline $Q^2$ & $x$ & $y$ & $\tilde{\sigma}_{\rm NC}$ & $F_{2}$ & $\delta_{\rm stat}$ & $\delta_{\rm unc}$ & $\delta_{\rm cor}$ & $\delta_{\rm tot}$ & $\sqrt{s}$ \\ $(\rm GeV^2)$ & & & & & $(\%)$ & $(\%)$ & $(\%)$ & $(\%)$ & $(\rm GeV)$ \\ \hline %bin number, x, q2, y, sigma, F2_gamma, stat, syst_uncor, syst_corr and total errors. %\input{combination_tables/p_2_615} % tables from sasha of combined HERA\,I+II NC e+p $ 500 $ &$ 0.00656 $ & $ 0.750 $ &$ 1.050 $ & --- & $ 1.66 $ &$ 1.55 $ &$ 1.08 $ &$ 2.51$ & $ 319$ \\ $ 500 $ &$ 0.00800 $ & $ 0.675 $ &$ 1.022 $ & --- & $ 4.21 $ &$ 5.00 $ &$ 1.31 $ &$ 6.67$ & $ 301$ \\ $ 500 $ &$ 0.00800 $ & $ 0.618 $ &$ 0.9950 $ & --- & $ 1.73 $ &$ 0.89 $ &$ 1.12 $ &$ 2.24$ & $ 319$ \\ $ 500 $ &$ 0.01300 $ & $ 0.426 $ &$ 0.8868 $ &$ 0.8984 $ &$ 3.34 $ &$ 5.00 $ &$ 1.25 $ &$ 6.14$ & $ 301$ \\ $ 500 $ &$ 0.01300 $ & $ 0.380 $ &$ 0.8717 $ &$ 0.8832 $ &$ 1.22 $ &$ 0.77 $ &$ 1.09 $ &$ 1.81$ & $ 319$ \\ $ 500 $ &$ 0.02000 $ & $ 0.247 $ &$ 0.7423 $ &$ 0.7447 $ &$ 1.15 $ &$ 0.90 $ &$ 1.11 $ &$ 1.83$ & $ 319$ \\ $ 500 $ &$ 0.03200 $ & $ 0.154 $ &$ 0.6140 $ &$ 0.6141 $ &$ 1.20 $ &$ 0.86 $ &$ 1.11 $ &$ 1.85$ & $ 319$ \\ $ 500 $ &$ 0.05000 $ & $ 0.099 $ &$ 0.5252 $ &$ 0.5245 $ &$ 1.25 $ &$ 0.98 $ &$ 1.17 $ &$ 1.97$ & $ 319$ \\ $ 500 $ &$ 0.08000 $ & $ 0.062 $ &$ 0.4400 $ &$ 0.4393 $ &$ 1.34 $ &$ 0.88 $ &$ 1.19 $ &$ 2.00$ & $ 319$ \\ $ 500 $ &$ 0.13000 $ &$ 0.038 $ &$ 0.3724 $ &$ 0.3712 $ &$ 1.54 $ &$ 1.14 $ &$ 1.25 $ &$ 2.28$ & $ 319$ \\ $ 500 $ &$ 0.18000 $ &$ 0.027 $ &$ 0.3060 $ &$ 0.3053 $ &$ 1.72 $ &$ 1.50 $ &$ 1.24 $ &$ 2.60$ & $ 319$ \\ $ 500 $ &$ 0.25000 $ &$ 0.020 $ &$ 0.2509 $ &$ 0.2504 $ &$ 2.11 $ &$ 2.16 $ &$ 2.39 $ &$ 3.85$ & $ 319$ \\ $ 500 $ &$ 0.40000 $ &$ 0.012 $ &$ 0.1603 $ &$ 0.1596 $ &$ 5.18 $ &$ 5.86 $ &$ 4.75 $ &$ 9.15$ & $ 319$ \\ \hline $ 650 $ &$ 0.00853 $ & $ 0.750 $ &$ 0.9978 $ & --- & $ 1.90 $ &$ 1.67 $ &$ 1.07 $ &$ 2.75$ & $ 319$ \\ $ 650 $ &$ 0.01300 $ & $ 0.554 $ &$ 0.8895 $ &$ 0.9110 $ &$ 4.03 $ &$ 3.80 $ &$ 1.39 $ &$ 5.71$ & $ 301$ \\ $ 650 $ &$ 0.01300 $ & $ 0.494 $ &$ 0.8581 $ &$ 0.8792 $ &$ 1.40 $ &$ 0.77 $ &$ 1.08 $ &$ 1.93$ & $ 319$ \\ $ 650 $ &$ 0.02000 $ & $ 0.360 $ &$ 0.7037 $ &$ 0.7094 $ &$ 4.14 $ &$ 3.70 $ &$ 1.23 $ &$ 5.69$ & $ 301$ \\ $ 650 $ &$ 0.02000 $ & $ 0.321 $ &$ 0.7353 $ &$ 0.7406 $ &$ 1.45 $ &$ 0.92 $ &$ 1.09 $ &$ 2.04$ & $ 319$ \\ $ 650 $ &$ 0.03200 $ & $ 0.201 $ &$ 0.6352 $ &$ 0.6360 $ &$ 1.38 $ &$ 1.05 $ &$ 1.12 $ &$ 2.07$ & $ 319$ \\ $ 650 $ &$ 0.05000 $ & $ 0.128 $ &$ 0.5189 $ &$ 0.5187 $ &$ 1.45 $ &$ 0.96 $ &$ 1.14 $ &$ 2.08$ & $ 319$ \\ $ 650 $ &$ 0.08000 $ & $ 0.080 $ &$ 0.4251 $ &$ 0.4242 $ &$ 1.59 $ &$ 0.96 $ &$ 1.19 $ &$ 2.20$ & $ 319$ \\ $ 650 $ &$ 0.13000 $ &$ 0.049 $ &$ 0.3790 $ &$ 0.3780 $ &$ 1.81 $ &$ 1.19 $ &$ 1.24 $ &$ 2.50$ & $ 319$ \\ $ 650 $ &$ 0.18000 $ &$ 0.036 $ &$ 0.3275 $ &$ 0.3261 $ &$ 1.92 $ &$ 1.46 $ &$ 1.23 $ &$ 2.71$ & $ 319$ \\ $ 650 $ &$ 0.25000 $ &$ 0.026 $ &$ 0.2452 $ &$ 0.2442 $ &$ 2.37 $ &$ 2.16 $ &$ 2.10 $ &$ 3.83$ & $ 319$ \\ $ 650 $ &$ 0.40000 $ &$ 0.016 $ &$ 0.1377 $ &$ 0.1375 $ &$ 3.46 $ &$ 3.02 $ &$ 3.02 $ &$ 5.50$ & $ 319$ \\ $ 650 $ &$ 0.65000 $ &$ 0.010 $ &$ 0.0217 $ &$ 0.0219 $ &$ 14.07 $ &$ 7.79 $ &$ 5.62 $ &$17.03$ & $ 319$ \\ \hline $ 800 $ &$ 0.01050 $ & $ 0.750 $ &$ 0.9270 $ & --- & $ 2.27 $ &$ 1.76 $ &$ 1.08 $ &$ 3.07$ & $ 319$ \\ $ 800 $ &$ 0.01300 $ & $ 0.675 $ &$ 0.9858 $ & --- & $ 5.04 $ &$ 4.40 $ &$ 1.46 $ &$ 6.85$ & $ 301$ \\ $ 800 $ &$ 0.01300 $ & $ 0.608 $ &$ 0.8303 $ & --- & $ 2.26 $ &$ 1.01 $ &$ 1.11 $ &$ 2.72$ & $ 319$ \\ $ 800 $ &$ 0.02000 $ & $ 0.443 $ &$ 0.7759 $ &$ 0.7864 $ &$ 4.66 $ &$ 4.00 $ &$ 1.38 $ &$ 6.29$ & $ 301$ \\ $ 800 $ &$ 0.02000 $ & $ 0.395 $ &$ 0.7123 $ &$ 0.7216 $ &$ 1.66 $ &$ 0.89 $ &$ 1.08 $ &$ 2.17$ & $ 319$ \\ $ 800 $ &$ 0.03200 $ & $ 0.247 $ &$ 0.6201 $ &$ 0.6222 $ &$ 1.62 $ &$ 1.03 $ &$ 1.08 $ &$ 2.20$ & $ 319$ \\ $ 800 $ &$ 0.05000 $ & $ 0.158 $ &$ 0.5329 $ &$ 0.5331 $ &$ 1.71 $ &$ 0.92 $ &$ 1.09 $ &$ 2.22$ & $ 319$ \\ $ 800 $ &$ 0.08000 $ & $ 0.099 $ &$ 0.4567 $ &$ 0.4563 $ &$ 1.80 $ &$ 1.04 $ &$ 1.16 $ &$ 2.38$ & $ 319$ \\ $ 800 $ &$ 0.13000 $ &$ 0.061 $ &$ 0.3583 $ &$ 0.3570 $ &$ 2.11 $ &$ 1.25 $ &$ 1.23 $ &$ 2.75$ & $ 319$ \\ $ 800 $ &$ 0.18000 $ &$ 0.044 $ &$ 0.3258 $ &$ 0.3249 $ &$ 2.22 $ &$ 1.45 $ &$ 1.17 $ &$ 2.90$ & $ 319$ \\ $ 800 $ &$ 0.25000 $ &$ 0.032 $ &$ 0.2391 $ &$ 0.2381 $ &$ 2.66 $ &$ 1.97 $ &$ 1.68 $ &$ 3.72$ & $ 319$ \\ $ 800 $ &$ 0.40000 $ &$ 0.020 $ &$ 0.1293 $ &$ 0.1284 $ &$ 3.86 $ &$ 3.24 $ &$ 3.13 $ &$ 5.93$ & $ 319$ \\ $ 800 $ &$ 0.65000 $ &$ 0.012 $ &$ 0.0194 $ &$ 0.0189 $ &$ 12.32 $ &$ 7.21 $ &$ 5.46 $ &$15.28$ & $ 319$ \\ \hline \hline \end{tabular} \end{center} %\caption[RESULT] \captcont{continued.}% from table~\ref{tab:nccombined_pos}.} \end{table} \begin{table}[\tablepos] \begin{center} \footnotesize %\tiny \begin{tabular}{|r|c|c|r|r|r|r|r|r|c|} \hline $Q^2$ & $x$ & $y$ & $\tilde{\sigma}_{\rm NC}$ & $F_{2}$ & $\delta_{\rm stat}$ & $\delta_{\rm unc}$ & $\delta_{\rm cor}$ & $\delta_{\rm tot}$ & $\sqrt{s}$ \\ $(\rm GeV^2)$ & & & & & $(\%)$ & $(\%)$ & $(\%)$ & $(\%)$ & $(\rm GeV)$ \\ \hline %bin number, x, q2, y, sigma, F2_gamma, stat, syst_uncor, syst_corr and total errors. %\input{combination_tables/p_2a_615} % tables from sasha of combined HERA\,I+II NC e+p $ 1000 $ &$ 0.01300 $ & $ 0.750 $ &$ 0.8194 $ & --- & $ 2.33 $ &$ 1.36 $ &$ 1.53 $ &$ 3.11$ & $ 319$ \\ $ 1000 $ &$ 0.02000 $ & $ 0.554 $ &$ 0.7428 $ &$ 0.7608 $ &$ 5.44 $ &$ 3.70 $ &$ 1.28 $ &$ 6.70$ & $ 301$ \\ $ 1000 $ &$ 0.02000 $ & $ 0.494 $ &$ 0.7340 $ &$ 0.7516 $ &$ 1.92 $ &$ 0.88 $ &$ 1.09 $ &$ 2.38$ & $ 319$ \\ $ 1000 $ &$ 0.03200 $ & $ 0.309 $ &$ 0.6236 $ &$ 0.6286 $ &$ 1.81 $ &$ 0.98 $ &$ 1.09 $ &$ 2.33$ & $ 319$ \\ $ 1000 $ &$ 0.05000 $ & $ 0.198 $ &$ 0.5322 $ &$ 0.5330 $ &$ 1.88 $ &$ 1.26 $ &$ 1.09 $ &$ 2.51$ & $ 319$ \\ $ 1000 $ &$ 0.08000 $ & $ 0.124 $ &$ 0.4424 $ &$ 0.4415 $ &$ 2.03 $ &$ 1.01 $ &$ 1.09 $ &$ 2.52$ & $ 319$ \\ $ 1000 $ &$ 0.13000 $ &$ 0.076 $ &$ 0.3600 $ &$ 0.3589 $ &$ 2.53 $ &$ 1.21 $ &$ 1.19 $ &$ 3.04$ & $ 319$ \\ $ 1000 $ &$ 0.18000 $ &$ 0.055 $ &$ 0.3093 $ &$ 0.3078 $ &$ 2.60 $ &$ 1.30 $ &$ 1.11 $ &$ 3.11$ & $ 319$ \\ $ 1000 $ &$ 0.25000 $ &$ 0.040 $ &$ 0.2487 $ &$ 0.2478 $ &$ 2.89 $ &$ 1.74 $ &$ 1.40 $ &$ 3.65$ & $ 319$ \\ $ 1000 $ &$ 0.40000 $ &$ 0.025 $ &$ 0.1278 $ &$ 0.1273 $ &$ 4.68 $ &$ 3.11 $ &$ 2.71 $ &$ 6.23$ & $ 319$ \\ $ 1000 $ &$ 0.65000 $ &$ 0.015 $ &$ 0.0184 $ &$ 0.0179 $ &$ 14.24 $ &$ 7.75 $ &$ 5.56 $ &$17.14$ & $ 319$ \\ \hline $ 1200 $ &$ 0.01300 $ & $ 0.912 $ &$ 0.8416 $ & --- & $ 4.33 $ &$ 2.11 $ &$ 2.21 $ &$ 5.30$ & $ 319$ \\ $ 1200 $ &$ 0.02000 $ & $ 0.675 $ &$ 0.7283 $ & --- & $ 7.24 $ &$ 3.50 $ &$ 1.27 $ &$ 8.14$ & $ 301$ \\ $ 1200 $ &$ 0.02000 $ & $ 0.593 $ &$ 0.7251 $ & --- & $ 2.40 $ &$ 1.00 $ &$ 1.10 $ &$ 2.82$ & $ 319$ \\ $ 1200 $ &$ 0.03200 $ & $ 0.416 $ &$ 0.6335 $ &$ 0.6410 $ &$ 6.46 $ &$ 3.50 $ &$ 1.23 $ &$ 7.45$ & $ 301$ \\ $ 1200 $ &$ 0.03200 $ & $ 0.371 $ &$ 0.6166 $ &$ 0.6248 $ &$ 2.22 $ &$ 0.88 $ &$ 1.08 $ &$ 2.62$ & $ 319$ \\ $ 1200 $ &$ 0.05000 $ & $ 0.237 $ &$ 0.5105 $ &$ 0.5131 $ &$ 2.15 $ &$ 1.07 $ &$ 1.08 $ &$ 2.63$ & $ 319$ \\ $ 1200 $ &$ 0.08000 $ & $ 0.148 $ &$ 0.4411 $ &$ 0.4410 $ &$ 2.25 $ &$ 1.03 $ &$ 1.11 $ &$ 2.71$ & $ 319$ \\ $ 1200 $ &$ 0.13000 $ &$ 0.091 $ &$ 0.3651 $ &$ 0.3639 $ &$ 2.71 $ &$ 1.29 $ &$ 1.13 $ &$ 3.21$ & $ 319$ \\ $ 1200 $ &$ 0.18000 $ &$ 0.066 $ &$ 0.3238 $ &$ 0.3225 $ &$ 3.01 $ &$ 1.29 $ &$ 1.16 $ &$ 3.48$ & $ 319$ \\ $ 1200 $ &$ 0.25000 $ &$ 0.047 $ &$ 0.2549 $ &$ 0.2535 $ &$ 3.26 $ &$ 1.79 $ &$ 1.29 $ &$ 3.94$ & $ 319$ \\ $ 1200 $ &$ 0.40000 $ &$ 0.030 $ &$ 0.1150 $ &$ 0.1142 $ &$ 4.65 $ &$ 3.29 $ &$ 2.87 $ &$ 6.38$ & $ 319$ \\ $ 1200 $ &$ 0.65000 $ &$ 0.018 $ &$ 0.0211 $ &$ 0.0208 $ &$ 15.05 $ &$ 8.72 $ &$ 5.23 $ &$18.17$ & $ 319$ \\ \hline $ 1500 $ &$ 0.02000 $ & $ 0.850 $ &$ 0.7975 $ & --- & $ 9.15 $ &$ 4.80 $ &$ 1.54 $ &$10.45$ & $ 301$ \\ $ 1500 $ &$ 0.02000 $ & $ 0.750 $ &$ 0.6966 $ & --- & $ 3.03 $ &$ 1.51 $ &$ 1.29 $ &$ 3.62$ & $ 319$ \\ $ 1500 $ &$ 0.03200 $ & $ 0.520 $ &$ 0.5691 $ &$ 0.5823 $ &$ 8.18 $ &$ 4.00 $ &$ 1.31 $ &$ 9.20$ & $ 301$ \\ $ 1500 $ &$ 0.03200 $ & $ 0.463 $ &$ 0.5977 $ &$ 0.6120 $ &$ 2.88 $ &$ 0.97 $ &$ 1.08 $ &$ 3.22$ & $ 319$ \\ $ 1500 $ &$ 0.05000 $ & $ 0.296 $ &$ 0.5343 $ &$ 0.5389 $ &$ 2.44 $ &$ 0.96 $ &$ 1.06 $ &$ 2.83$ & $ 319$ \\ $ 1500 $ &$ 0.08000 $ & $ 0.185 $ &$ 0.4457 $ &$ 0.4470 $ &$ 2.61 $ &$ 1.11 $ &$ 1.10 $ &$ 3.04$ & $ 319$ \\ $ 1500 $ &$ 0.13000 $ &$ 0.114 $ &$ 0.3424 $ &$ 0.3412 $ &$ 3.14 $ &$ 1.28 $ &$ 1.11 $ &$ 3.57$ & $ 319$ \\ $ 1500 $ &$ 0.18000 $ &$ 0.082 $ &$ 0.3131 $ &$ 0.3115 $ &$ 3.27 $ &$ 1.36 $ &$ 1.16 $ &$ 3.72$ & $ 319$ \\ $ 1500 $ &$ 0.25000 $ &$ 0.059 $ &$ 0.2353 $ &$ 0.2334 $ &$ 3.58 $ &$ 1.91 $ &$ 1.31 $ &$ 4.26$ & $ 319$ \\ $ 1500 $ &$ 0.40000 $ &$ 0.037 $ &$ 0.1195 $ &$ 0.1189 $ &$ 4.84 $ &$ 2.87 $ &$ 2.23 $ &$ 6.06$ & $ 319$ \\ $ 1500 $ &$ 0.65000 $ &$ 0.023 $ &$ 0.0148 $ &$ 0.0149 $ &$ 9.73 $ &$ 5.91 $ &$ 5.31 $ &$12.56$ & $ 319$ \\ \hline \hline \end{tabular} \end{center} %\caption[RESULT] \captcont{continued.}% from table~\ref{tab:nccombined_pos}.} \end{table} % table 30 \begin{table}[\tablepos] \begin{center} \footnotesize %\tiny \begin{tabular}{|r|c|c|r|r|r|r|r|r|c|} \hline $Q^2$ & $x$ & $y$ & $\tilde{\sigma}_{\rm NC}$ & $F_{2}$ & $\delta_{\rm stat}$ & $\delta_{\rm unc}$ & $\delta_{\rm cor}$ & $\delta_{\rm tot}$ & $\sqrt{s}$ \\ $(\rm GeV^2)$ & & & & & $(\%)$ & $(\%)$ & $(\%)$ & $(\%)$ & $(\rm GeV)$ \\ \hline %bin number, x, q2, y, sigma, F2_gamma, stat, syst_uncor, syst_corr and total errors. %\input{combination_tables/p_3_615} % tables from sasha of combined HERA\,I+II NC $ 2000 $ &$ 0.02190 $ & $ 0.903 $ &$ 0.7034 $ & --- & $ 5.55 $ &$ 2.40 $ &$ 1.85 $ &$ 6.33$ & $ 319$ \\ $ 2000 $ &$ 0.03200 $ & $ 0.675 $ &$ 0.6077 $ & --- & $ 9.05 $ &$ 4.00 $ &$ 1.30 $ &$ 9.98$ & $ 301$ \\ $ 2000 $ &$ 0.03200 $ & $ 0.618 $ &$ 0.5687 $ & --- & $ 3.35 $ &$ 1.33 $ &$ 1.10 $ &$ 3.77$ & $ 319$ \\ $ 2000 $ &$ 0.05000 $ & $ 0.443 $ &$ 0.5285 $ &$ 0.5406 $ &$ 8.80 $ &$ 4.00 $ &$ 1.26 $ &$ 9.75$ & $ 301$ \\ $ 2000 $ &$ 0.05000 $ & $ 0.395 $ &$ 0.5231 $ &$ 0.5345 $ &$ 3.27 $ &$ 1.07 $ &$ 1.09 $ &$ 3.61$ & $ 319$ \\ $ 2000 $ &$ 0.08000 $ & $ 0.247 $ &$ 0.4225 $ &$ 0.4267 $ &$ 3.02 $ &$ 1.17 $ &$ 1.08 $ &$ 3.41$ & $ 319$ \\ $ 2000 $ &$ 0.13000 $ &$ 0.152 $ &$ 0.3503 $ &$ 0.3500 $ &$ 3.76 $ &$ 1.44 $ &$ 1.12 $ &$ 4.18$ & $ 319$ \\ $ 2000 $ &$ 0.18000 $ &$ 0.110 $ &$ 0.3133 $ &$ 0.3116 $ &$ 3.83 $ &$ 1.37 $ &$ 1.16 $ &$ 4.23$ & $ 319$ \\ $ 2000 $ &$ 0.25000 $ &$ 0.079 $ &$ 0.2381 $ &$ 0.2361 $ &$ 4.01 $ &$ 1.94 $ &$ 1.31 $ &$ 4.64$ & $ 319$ \\ $ 2000 $ &$ 0.40000 $ &$ 0.049 $ &$ 0.1222 $ &$ 0.1206 $ &$ 5.23 $ &$ 3.13 $ &$ 2.16 $ &$ 6.46$ & $ 319$ \\ $ 2000 $ &$ 0.65000 $ &$ 0.030 $ &$ 0.0158 $ &$ 0.0158 $ &$ 10.55 $ &$ 6.09 $ &$ 5.33 $ &$13.29$ & $ 319$ \\ \hline $ 3000 $ &$ 0.03200 $ & $ 0.926 $ &$ 0.5990 $ & --- & $ 3.69 $ &$ 1.72 $ &$ 1.37 $ &$ 4.30$ & $ 319$ \\ $ 3000 $ &$ 0.05000 $ & $ 0.675 $ &$ 0.5019 $ & --- & $ 7.38 $ &$ 3.80 $ &$ 1.32 $ &$ 8.41$ & $ 301$ \\ $ 3000 $ &$ 0.05000 $ & $ 0.593 $ &$ 0.5156 $ & --- & $ 2.79 $ &$ 1.25 $ &$ 1.08 $ &$ 3.24$ & $ 319$ \\ $ 3000 $ &$ 0.08000 $ & $ 0.416 $ &$ 0.4504 $ &$ 0.4644 $ &$ 7.76 $ &$ 4.00 $ &$ 1.20 $ &$ 8.82$ & $ 301$ \\ $ 3000 $ &$ 0.08000 $ & $ 0.371 $ &$ 0.4381 $ &$ 0.4520 $ &$ 2.98 $ &$ 1.17 $ &$ 1.09 $ &$ 3.39$ & $ 319$ \\ $ 3000 $ &$ 0.13000 $ &$ 0.228 $ &$ 0.3416 $ &$ 0.3457 $ &$ 3.34 $ &$ 1.36 $ &$ 1.07 $ &$ 3.76$ & $ 319$ \\ $ 3000 $ &$ 0.18000 $ &$ 0.165 $ &$ 0.3078 $ &$ 0.3081 $ &$ 3.90 $ &$ 1.75 $ &$ 1.20 $ &$ 4.44$ & $ 319$ \\ $ 3000 $ &$ 0.25000 $ &$ 0.119 $ &$ 0.2227 $ &$ 0.2212 $ &$ 3.84 $ &$ 1.64 $ &$ 1.21 $ &$ 4.35$ & $ 319$ \\ $ 3000 $ &$ 0.40000 $ &$ 0.074 $ &$ 0.1196 $ &$ 0.1181 $ &$ 4.66 $ &$ 2.94 $ &$ 1.82 $ &$ 5.80$ & $ 319$ \\ $ 3000 $ &$ 0.65000 $ &$ 0.046 $ &$ 0.0127 $ &$ 0.0127 $ &$ 10.00 $ &$ 6.12 $ &$ 4.60 $ &$12.59$ & $ 319$ \\ \hline $ 5000 $ &$ 0.05470 $ & $ 0.903 $ &$ 0.4727 $ & --- & $ 5.02 $ &$ 2.01 $ &$ 1.52 $ &$ 5.62$ & $ 319$ \\ $ 5000 $ &$ 0.08000 $ & $ 0.675 $ &$ 0.3448 $ & --- & $ 10.52 $ &$ 4.40 $ &$ 1.38 $ &$11.49$ & $ 301$ \\ $ 5000 $ &$ 0.08000 $ & $ 0.618 $ &$ 0.4131 $ & --- & $ 3.41 $ &$ 1.42 $ &$ 1.10 $ &$ 3.86$ & $ 319$ \\ $ 5000 $ &$ 0.13000 $ &$ 0.426 $ &$ 0.3834 $ &$ 0.4061 $ &$ 10.52 $ &$ 4.80 $ &$ 1.29 $ &$11.63$ & $ 301$ \\ $ 5000 $ &$ 0.13000 $ &$ 0.380 $ &$ 0.3405 $ &$ 0.3616 $ &$ 4.02 $ &$ 1.61 $ &$ 1.09 $ &$ 4.47$ & $ 319$ \\ $ 5000 $ &$ 0.18000 $ &$ 0.274 $ &$ 0.2806 $ &$ 0.2891 $ &$ 4.24 $ &$ 1.60 $ &$ 1.04 $ &$ 4.65$ & $ 319$ \\ $ 5000 $ &$ 0.25000 $ &$ 0.198 $ &$ 0.2291 $ &$ 0.2301 $ &$ 4.90 $ &$ 2.08 $ &$ 1.17 $ &$ 5.45$ & $ 319$ \\ $ 5000 $ &$ 0.40000 $ &$ 0.124 $ &$ 0.1127 $ &$ 0.1110 $ &$ 5.95 $ &$ 2.71 $ &$ 1.38 $ &$ 6.68$ & $ 319$ \\ $ 5000 $ &$ 0.65000 $ &$ 0.076 $ &$ 0.0100 $ &$ 0.0097 $ &$ 13.32 $ &$ 5.80 $ &$ 3.38 $ &$14.91$ & $ 319$ \\ \hline $ 8000 $ &$ 0.08750 $ & $ 0.903 $ &$ 0.3532 $ & --- & $ 8.61 $ &$ 2.69 $ &$ 2.15 $ &$ 9.28$ & $ 319$ \\ $ 8000 $ &$ 0.13000 $ &$ 0.675 $ &$ 0.2774 $ & --- & $ 16.67 $ &$ 4.70 $ &$ 1.30 $ &$17.36$ & $ 301$ \\ $ 8000 $ &$ 0.13000 $ &$ 0.608 $ &$ 0.3025 $ & --- & $ 5.88 $ &$ 2.16 $ &$ 1.09 $ &$ 6.36$ & $ 319$ \\ $ 8000 $ &$ 0.18000 $ &$ 0.493 $ &$ 0.2757 $ &$ 0.3100 $ &$ 15.73 $ &$ 6.10 $ &$ 1.43 $ &$16.93$ & $ 301$ \\ $ 8000 $ &$ 0.18000 $ &$ 0.439 $ &$ 0.2842 $ &$ 0.3189 $ &$ 5.88 $ &$ 2.17 $ &$ 1.09 $ &$ 6.37$ & $ 319$ \\ $ 8000 $ &$ 0.25000 $ &$ 0.355 $ &$ 0.2688 $ &$ 0.2844 $ &$ 15.22 $ &$ 6.60 $ &$ 1.53 $ &$16.66$ & $ 301$ \\ $ 8000 $ &$ 0.25000 $ &$ 0.316 $ &$ 0.2199 $ &$ 0.2326 $ &$ 7.32 $ &$ 2.48 $ &$ 1.18 $ &$ 7.81$ & $ 319$ \\ $ 8000 $ &$ 0.40000 $ &$ 0.198 $ &$ 0.0993 $ &$ 0.0988 $ &$ 8.22 $ &$ 3.69 $ &$ 1.55 $ &$ 9.15$ & $ 319$ \\ $ 8000 $ &$ 0.65000 $ &$ 0.122 $ &$ 0.0147 $ &$ 0.0145 $ &$ 12.92 $ &$ 6.64 $ &$ 2.96 $ &$14.82$ & $ 319$ \\ \hline \hline \end{tabular} \end{center} %\caption[RESULT] \captcont {continued.}% from tables~\ref{tab:nccombined_pos} and \ref{tab:nccombined_pos_c}.} \end{table} \begin{table}[\tablepos] \begin{center} \footnotesize %\tiny \begin{tabular}{|r|c|c|r|r|r|r|r|r|c|} \hline $Q^2$ & $x$ & $y$ & $\tilde{\sigma}_{\rm NC}$ & $F_{2}$ & $\delta_{\rm stat}$ & $\delta_{\rm unc}$ & $\delta_{\rm cor}$ & $\delta_{\rm tot}$ & $\sqrt{s}$ \\ $(\rm GeV^2)$ & & & & & $(\%)$ & $(\%)$ & $(\%)$ & $(\%)$ & $(\rm GeV)$ \\ \hline %bin number, x, q2, y, sigma, F2_gamma, stat, syst_uncor, syst_corr and total errors. %\input{combination_tables/p_4_615} % tables from sasha of combined HERA\,I+II NC e+p $12000 $ &$ 0.13000 $ &$ 0.912 $ &$ 0.2126 $ & --- & $ 19.65 $ &$ 5.03 $ &$ 1.76 $ &$20.36$ & $ 319$ \\ $12000 $ &$ 0.18000 $ &$ 0.750 $ &$ 0.1512 $ & --- & $ 34.61 $ &$ 3.80 $ &$ 1.50 $ &$34.85$ & $ 301$ \\ $12000 $ &$ 0.18000 $ &$ 0.675 $ &$ 0.2211 $ & --- & $ 9.76 $ &$ 2.16 $ &$ 1.24 $ &$10.07$ & $ 319$ \\ $12000 $ &$ 0.25000 $ &$ 0.532 $ &$ 0.1239 $ &$ 0.1482 $ &$ 32.50 $ &$ 6.10 $ &$ 1.32 $ &$33.09$ & $ 301$ \\ $12000 $ &$ 0.25000 $ &$ 0.474 $ &$ 0.1463 $ &$ 0.1744 $ &$ 10.52 $ &$ 2.49 $ &$ 1.11 $ &$10.87$ & $ 319$ \\ $12000 $ &$ 0.40000 $ &$ 0.296 $ &$ 0.0859 $ &$ 0.0905 $ &$ 11.85 $ &$ 4.07 $ &$ 1.41 $ &$12.61$ & $ 319$ \\ $12000 $ &$ 0.65000 $ &$ 0.182 $ &$ 0.0160 $ &$ 0.0156 $ &$ 17.95 $ &$ 6.80 $ &$ 2.48 $ &$19.35$ & $ 319$ \\ \hline $20000 $ &$ 0.25000 $ &$ 0.887 $ &$ 0.0914 $ & --- & $ 61.43 $ &$ 5.10 $ &$ 1.79 $ &$61.67$ & $ 301$ \\ $20000 $ &$ 0.25000 $ &$ 0.800 $ &$ 0.1238 $ & --- & $ 17.51 $ &$ 2.77 $ &$ 1.27 $ &$17.77$ & $ 319$ \\ $20000 $ &$ 0.40000 $ &$ 0.554 $ &$ 0.1371 $ &$ 0.1751 $ &$ 36.34 $ &$ 9.60 $ &$ 1.55 $ &$37.62$ & $ 301$ \\ $20000 $ &$ 0.40000 $ &$ 0.494 $ &$ 0.0808 $ &$ 0.1035 $ &$ 17.56 $ &$ 4.31 $ &$ 1.26 $ &$18.13$ & $ 319$ \\ $20000 $ &$ 0.65000 $ &$ 0.304 $ &$ 0.0113 $ &$ 0.0116 $ &$ 33.09 $ &$ 13.65 $ &$ 3.26 $ &$35.94$ & $ 319$ \\ \hline $30000 $ &$ 0.40000 $ &$ 0.850 $ &$ 0.1817 $ & --- & $ 71.96 $ &$ 9.40 $ &$ 1.60 $ &$72.59$ & $ 301$ \\ $30000 $ &$ 0.40000 $ &$ 0.750 $ &$ 0.0816 $ & --- & $ 32.37 $ &$ 5.02 $ &$ 1.25 $ &$32.78$ & $ 319$ \\ $30000 $ &$ 0.65000 $ &$ 0.456 $ &$ 0.0082 $ &$ 0.0100 $ &$ 69.80 $ &$ 9.86 $ &$ 2.52 $ &$70.54$ & $ 319$ \\ \hline \end{tabular} \end{center} %\caption[RESULT] \captcont {continued.}% from tables~\ref{tab:nccombined_pos} and \ref{tab:nccombined_pos_c}.} \end{table} \clearpage % table 31 \begin{table}[\tablepos] \begin{center} \footnotesize \begin{tabular}{|r|c|c|l|r|r|r|r|r|c|} \hline $Q^2$ & $x$ & $y$ & ${\rm d}^2\sigma_{\rm CC}/{\rm d}x{\rm d}Q^2$ & $\tilde{\sigma}_{\rm CC}$ & $\delta_{\rm stat}$ & $\delta_{\rm unc}$ & $\delta_{\rm cor}$ & $\delta_{\rm tot}$ & $\sqrt{s}$ \\ $(\rm GeV^2)$ & & & $(\rm pb / \rm GeV^2)$ & & $(\%)$ & $(\%)$ & $(\%)$ & $(\%)$ & $(\rm GeV)$ \\ \hline %bin number, x, q2, y, sigma, F2_gamma, stat, syst_uncor, syst_corr and total errors. %\input{combination_tables/p_1_3515} % tables from sasha of combined HERA\,I+II NC e-p $ 300 $ &$ 0.008 $ &$ 0.371 $ &$ 1.88 $ & $ 1.95 $ &$ 31.4$ &$ 23.7$ &$ 13.2$ &$ 41.5$ & $ 319$ \\ $ 300 $ &$ 0.013 $ &$ 0.228 $ &$ 0.731 $ &$ 1.23 $ &$ 12.9$ &$ 9.6$ &$ 7.5$ &$ 17.7$ & $ 319$ \\ $ 300 $ &$ 0.032 $ &$ 0.093 $ &$ 0.269 $ &$ 1.12 $ &$ 10.8$ &$ 4.5$ &$ 4.6$ &$ 12.6$ & $ 319$ \\ $ 300 $ &$ 0.080 $ &$ 0.037 $ &$ 0.670 \cdot 10^{-1}$ & $ 0.696 $ &$ 11.2$ &$ 4.8$ &$ 3.4$ &$ 12.6$ & $ 319$ \\ \hline $ 500 $ &$ 0.013 $ &$ 0.380 $ &$ 0.646 $ &$ 1.16 $ &$ 8.5$ &$ 6.3$ &$ 6.6$ &$ 12.5$ & $ 319$ \\ $ 500 $ &$ 0.032 $ &$ 0.154 $ &$ 0.219 $ &$ 0.963 $ &$ 6.7$ &$ 3.1$ &$ 2.8$ &$ 7.8$ & $ 319$ \\ $ 500 $ &$ 0.080 $ &$ 0.062 $ &$ 0.551 \cdot 10^{-1}$ & $ 0.607 $ &$ 7.7$ &$ 3.8$ &$ 1.7$ &$ 8.7$ & $ 319$ \\ $ 500 $ &$ 0.130 $ &$ 0.038 $ &$ 0.330 \cdot 10^{-1}$ & $ 0.591 $ &$ 15.8$ &$ 4.5$ &$ 4.9$ &$ 17.2$ & $ 319$ \\ \hline $ 1000 $ &$ 0.013 $ &$ 0.760 $ &$ 0.420 $ &$ 0.863 $ &$ 8.7$ &$ 5.8$ &$ 6.3$ &$ 12.2$ & $ 319$ \\ $ 1000 $ &$ 0.032 $ &$ 0.309 $ &$ 0.188 $ &$ 0.952 $ &$ 5.2$ &$ 2.6$ &$ 2.1$ &$ 6.2$ & $ 319$ \\ $ 1000 $ &$ 0.080 $ &$ 0.124 $ &$ 0.597 \cdot 10^{-1}$ & $ 0.755 $ &$ 5.3$ &$ 2.7$ &$ 1.6$ &$ 6.2$ & $ 319$ \\ $ 1000 $ &$ 0.130 $ &$ 0.076 $ &$ 0.270 \cdot 10^{-1}$ & $ 0.555 $ &$ 9.2$ &$ 3.4$ &$ 2.1$ &$ 10.0$ & $ 319$ \\ $ 1000 $ &$ 0.250 $ &$ 0.040 $ &$ 0.138 \cdot 10^{-1}$ & $ 0.546 $ &$ 37.7$ &$ 10.5$ &$ 1.6$ &$ 39.2$ & $ 319$ \\ \hline $ 2000 $ &$ 0.032 $ &$ 0.618 $ &$ 0.122 $ &$ 0.793 $ &$ 5.0$ &$ 2.5$ &$ 2.1$ &$ 5.9$ & $ 319$ \\ $ 2000 $ &$ 0.080 $ &$ 0.247 $ &$ 0.462 \cdot 10^{-1}$ & $ 0.752 $ &$ 4.5$ &$ 2.0$ &$ 1.5$ &$ 5.2$ & $ 319$ \\ $ 2000 $ &$ 0.130 $ &$ 0.152 $ &$ 0.226 \cdot 10^{-1}$ & $ 0.599 $ &$ 6.4$ &$ 2.8$ &$ 1.5$ &$ 7.2$ & $ 319$ \\ $ 2000 $ &$ 0.250 $ &$ 0.079 $ &$ 0.875 \cdot 10^{-2}$ & $ 0.445 $ &$ 11.4$ &$ 3.5$ &$ 3.7$ &$ 12.5$ & $ 319$ \\ \hline $ 3000 $ &$ 0.080 $ &$ 0.371 $ &$ 0.330 \cdot 10^{-1}$ & $ 0.671 $ &$ 4.3$ &$ 2.1$ &$ 1.6$ &$ 5.0$ & $ 319$ \\ $ 3000 $ &$ 0.130 $ &$ 0.228 $ &$ 0.189 \cdot 10^{-1}$ & $ 0.624 $ &$ 5.2$ &$ 2.1$ &$ 1.5$ &$ 5.8$ & $ 319$ \\ $ 3000 $ &$ 0.250 $ &$ 0.119 $ &$ 0.695 \cdot 10^{-2}$ & $ 0.442 $ &$ 7.5$ &$ 2.7$ &$ 1.7$ &$ 8.2$ & $ 319$ \\ $ 3000 $ &$ 0.400 $ &$ 0.074 $ &$ 0.251 \cdot 10^{-2}$ & $ 0.255 $ &$ 35.2$ &$ 17.1$ &$ 4.5$ &$ 39.4$ & $ 319$ \\ \hline $ 5000 $ &$ 0.080 $ &$ 0.618 $ &$ 0.213 \cdot 10^{-1}$ & $ 0.635 $ &$ 5.6$ &$ 2.5$ &$ 1.6$ &$ 6.3$ & $ 319$ \\ $ 5000 $ &$ 0.130 $ &$ 0.380 $ &$ 0.126 \cdot 10^{-1}$ & $ 0.611 $ &$ 4.9$ &$ 2.2$ &$ 1.5$ &$ 5.6$ & $ 319$ \\ $ 5000 $ &$ 0.250 $ &$ 0.198 $ &$ 0.492 \cdot 10^{-2}$ & $ 0.459 $ &$ 5.9$ &$ 2.4$ &$ 1.5$ &$ 6.6$ & $ 319$ \\ $ 5000 $ &$ 0.400 $ &$ 0.124 $ &$ 0.142 \cdot 10^{-2}$ & $ 0.211 $ &$ 15.2$ &$ 5.1$ &$ 3.4$ &$ 16.4$ & $ 319$ \\ \hline $ 8000 $ &$ 0.130 $ &$ 0.608 $ &$ 0.835 \cdot 10^{-2}$ & $ 0.645 $ &$ 6.0$ &$ 3.5$ &$ 1.8$ &$ 7.2$ & $ 319$ \\ $ 8000 $ &$ 0.250 $ &$ 0.316 $ &$ 0.272 \cdot 10^{-2}$ & $ 0.403 $ &$ 6.0$ &$ 3.0$ &$ 1.6$ &$ 6.9$ & $ 319$ \\ $ 8000 $ &$ 0.400 $ &$ 0.198 $ &$ 0.100 \cdot 10^{-2}$ & $ 0.238 $ &$ 11.2$ &$ 4.9$ &$ 2.0$ &$ 12.4$ & $ 319$ \\ \hline $ 15000 $ &$ 0.250 $ &$ 0.593 $ &$ 0.154 \cdot 10^{-2}$ & $ 0.504 $ &$ 7.1$ &$ 5.4$ &$ 2.0$ &$ 9.2$ & $ 319$ \\ $ 15000 $ &$ 0.400 $ &$ 0.371 $ &$ 0.399 \cdot 10^{-3}$ & $ 0.209 $ &$ 9.3$ &$ 5.6$ &$ 2.2$ &$ 11.1$ & $ 319$ \\ \hline $ 30000 $ &$ 0.400 $ &$ 0.741 $ &$ 0.154 \cdot 10^{-3}$ & $ 0.232 $ &$ 15.4$ &$ 10.6$ &$ 3.7$ &$ 19.0$ & $ 319$ \\ \hline \end{tabular} \end{center} \caption[RESULT] { Combined HERA\,I+II CC $e^-p$ cross sections for $P_e=0$. Here $\delta_{\rm stat}$, $\delta_{\rm unc}$, $\delta_{\rm cor}$ and $\delta_{\rm tot}$ are the relative statistical, total uncorrelated, correlated systematic and total uncertainties, respectively. } \label{tab:cccombined_ele} \end{table} % table 32 \begin{table}[\tablepos] \begin{center} \footnotesize \begin{tabular}{|r|c|c|l|r|r|r|r|r|c|} \hline $Q^2$ & $x$ & $y$ & ${\rm d}^2\sigma_{\rm CC}/{\rm d}x{\rm d}Q^2$ & $\tilde{\sigma}_{\rm CC}$ & $\delta_{\rm stat}$ & $\delta_{\rm unc}$ & $\delta_{\rm cor}$ & $\delta_{\rm tot}$ & $\sqrt{s}$ \\ $(\rm GeV^2)$ & & & $(\rm pb / \rm GeV^2)$ & & $(\%)$ & $(\%)$ & $(\%)$ & $(\%)$ & $(\rm GeV)$ \\ \hline %bin number, x, q2, y, sigma, F2_gamma, stat, syst_uncor, syst_corr and total errors. %\input{3615} % tables from sasha of combined HERA\,I+II NC e+p %\input{combination_tables/p_1_3615} % tables from sasha of combined HERA\,I+II NC e+p $ 300 $ &$ 0.008 $ &$ 0.371 $ &$ 1.08 $ & $ 1.12 $ &$ 28.5$ &$ 25.7$ &$ 13.9$ &$ 40.8$ & $ 319$ \\ $ 300 $ &$ 0.013 $ &$ 0.228 $ &$ 0.638 $ &$ 1.08 $ &$ 11.1$ &$ 6.2$ &$ 6.6$ &$ 14.3$ & $ 319$ \\ $ 300 $ &$ 0.032 $ &$ 0.093 $ &$ 0.217 $ &$ 0.901 $ &$ 7.8$ &$ 3.5$ &$ 3.9$ &$ 9.4$ & $ 319$ \\ $ 300 $ &$ 0.080 $ &$ 0.037 $ &$ 0.481 \cdot 10^{-1}$ & $ 0.500 $ &$ 10.1$ &$ 3.6$ &$ 2.5$ &$ 11.0$ & $ 319$ \\ \hline $ 500 $ &$ 0.013 $ &$ 0.380 $ &$ 0.550 $ &$ 0.984 $ &$ 7.5$ &$ 4.5$ &$ 5.3$ &$ 10.2$ & $ 319$ \\ $ 500 $ &$ 0.032 $ &$ 0.154 $ &$ 0.190 $ &$ 0.839 $ &$ 5.8$ &$ 2.4$ &$ 2.4$ &$ 6.7$ & $ 319$ \\ $ 500 $ &$ 0.080 $ &$ 0.062 $ &$ 0.504 \cdot 10^{-1}$ & $ 0.555 $ &$ 6.3$ &$ 2.6$ &$ 1.3$ &$ 7.0$ & $ 319$ \\ $ 500 $ &$ 0.130 $ &$ 0.038 $ &$ 0.222 \cdot 10^{-1}$ & $ 0.397 $ &$ 13.5$ &$ 3.8$ &$ 3.1$ &$ 14.4$ & $ 319$ \\ \hline $ 1000 $ &$ 0.013 $ &$ 0.760 $ &$ 0.343 $ &$ 0.705 $ &$ 9.9$ &$ 6.2$ &$ 7.5$ &$ 13.9$ & $ 319$ \\ $ 1000 $ &$ 0.032 $ &$ 0.309 $ &$ 0.145 $ &$ 0.731 $ &$ 4.7$ &$ 1.9$ &$ 1.7$ &$ 5.4$ & $ 319$ \\ $ 1000 $ &$ 0.080 $ &$ 0.124 $ &$ 0.402 \cdot 10^{-1}$ & $ 0.509 $ &$ 5.1$ &$ 2.1$ &$ 1.2$ &$ 5.7$ & $ 319$ \\ $ 1000 $ &$ 0.130 $ &$ 0.076 $ &$ 0.180 \cdot 10^{-1}$ & $ 0.370 $ &$ 8.2$ &$ 2.9$ &$ 1.2$ &$ 8.8$ & $ 319$ \\ $ 1000 $ &$ 0.250 $ &$ 0.040 $ &$ 0.880 \cdot 10^{-2}$ & $ 0.348 $ &$ 18.9$ &$ 10.8$ &$ 2.6$ &$ 21.9$ & $ 319$ \\ \hline $ 2000 $ &$ 0.032 $ &$ 0.618 $ &$ 0.819 \cdot 10^{-1}$ & $ 0.533 $ &$ 4.7$ &$ 2.0$ &$ 1.8$ &$ 5.4$ & $ 319$ \\ $ 2000 $ &$ 0.080 $ &$ 0.247 $ &$ 0.266 \cdot 10^{-1}$ & $ 0.433 $ &$ 4.5$ &$ 1.7$ &$ 1.1$ &$ 5.0$ & $ 319$ \\ $ 2000 $ &$ 0.130 $ &$ 0.152 $ &$ 0.133 \cdot 10^{-1}$ & $ 0.351 $ &$ 6.3$ &$ 2.4$ &$ 1.1$ &$ 6.8$ & $ 319$ \\ $ 2000 $ &$ 0.250 $ &$ 0.079 $ &$ 0.396 \cdot 10^{-2}$ & $ 0.201 $ &$ 10.6$ &$ 3.3$ &$ 2.3$ &$ 11.3$ & $ 319$ \\ \hline $ 3000 $ &$ 0.080 $ &$ 0.371 $ &$ 0.194 \cdot 10^{-1}$ & $ 0.395 $ &$ 4.5$ &$ 2.0$ &$ 1.2$ &$ 5.0$ & $ 319$ \\ $ 3000 $ &$ 0.130 $ &$ 0.228 $ &$ 0.107 \cdot 10^{-1}$ & $ 0.355 $ &$ 5.4$ &$ 1.8$ &$ 1.1$ &$ 5.8$ & $ 319$ \\ $ 3000 $ &$ 0.250 $ &$ 0.119 $ &$ 0.237 \cdot 10^{-2}$ & $ 0.151 $ &$ 9.2$ &$ 2.9$ &$ 1.2$ &$ 9.7$ & $ 319$ \\ $ 3000 $ &$ 0.400 $ &$ 0.074 $ &$ 0.431 \cdot 10^{-3}$ & $ 0.044 $ &$ 32.6$ &$ 8.7$ &$ 5.3$ &$ 34.1$ & $ 319$ \\ \hline $ 5000 $ &$ 0.080 $ &$ 0.618 $ &$ 0.780 \cdot 10^{-2}$ & $ 0.233 $ &$ 7.6$ &$ 3.2$ &$ 1.7$ &$ 8.4$ & $ 319$ \\ $ 5000 $ &$ 0.130 $ &$ 0.380 $ &$ 0.505 \cdot 10^{-2}$ & $ 0.245 $ &$ 6.3$ &$ 2.5$ &$ 1.3$ &$ 6.9$ & $ 319$ \\ $ 5000 $ &$ 0.250 $ &$ 0.198 $ &$ 0.153 \cdot 10^{-2}$ & $ 0.143 $ &$ 8.2$ &$ 2.6$ &$ 1.2$ &$ 8.7$ & $ 319$ \\ $ 5000 $ &$ 0.400 $ &$ 0.124 $ &$ 0.474 \cdot 10^{-3}$ & $ 0.071 $ &$ 17.7$ &$ 6.0$ &$ 2.7$ &$ 18.9$ & $ 319$ \\ \hline $ 8000 $ &$ 0.130 $ &$ 0.608 $ &$ 0.162 \cdot 10^{-2}$ & $ 0.125 $ &$ 10.1$ &$ 4.6$ &$ 1.8$ &$ 11.3$ & $ 319$ \\ $ 8000 $ &$ 0.250 $ &$ 0.316 $ &$ 0.818 \cdot 10^{-3}$ & $ 0.121 $ &$ 8.8$ &$ 3.8$ &$ 1.7$ &$ 9.7$ & $ 319$ \\ $ 8000 $ &$ 0.400 $ &$ 0.198 $ &$ 0.193 \cdot 10^{-3}$ & $ 0.046 $ &$ 19.3$ &$ 7.8$ &$ 2.5$ &$ 20.9$ & $ 319$ \\ \hline $ 15000 $ &$ 0.250 $ &$ 0.593 $ &$ 0.175 \cdot 10^{-3}$ & $ 0.057 $ &$ 14.7$ &$ 6.1$ &$ 2.2$ &$ 16.1$ & $ 319$ \\ $ 15000 $ &$ 0.400 $ &$ 0.371 $ &$ 0.646 \cdot 10^{-4}$ & $ 0.034 $ &$ 17.2$ &$ 6.5$ &$ 2.1$ &$ 18.5$ & $ 319$ \\ \hline \end{tabular} \end{center} \caption[RESULT] { Combined HERA\,I+II CC $e^+p$ cross sections for $P_e=0$. Here $\delta_{\rm stat}$, $\delta_{\rm unc}$, $\delta_{\rm cor}$ and $\delta_{\rm tot}$ are the relative statistical, total uncorrelated, correlated systematic and total uncertainties, respectively.} \label{tab:cccombined_pos} \end{table} \clearpage % tables 33-36 %\input{ncDq2e-LH} \begin{table}[htb] \begin{center} \footnotesize \begin{tabular}{|r|l|r|r|r|r|r|r|r|r|r|} \hline $Q^2$ & ${\rm d}\sigma_{\rm NC}/{\rm d}Q^2$ & $\delta_{\rm stat}$ & $\delta_{\rm unc}$ & $\delta_{\rm cor}$ & $\delta_{\rm tot}$ & $\delta_{\rm cor}^{E^+}$ & $\delta_{\rm cor}^{\theta^+}$ & $\delta_{\rm cor}^{h^+}$& $\delta_{\rm cor}^{N^+}$ & $\delta_{\rm cor}^{B^+}$ \\ $(\rm GeV^2)$ &$(\rm pb / \rm GeV^2)$ & $(\%)$ & $(\%)$ & $(\%)$ & $(\%)$ & $(\%)$ & $(\%)$ & $(\%)$ & $(\%)$ & $(\%)$ \\ % & $y<0.9$ & & & & & & & & & \\ \hline $200$ & $17.91$ & $0.42$ & $0.92$ & $0.62$ & $1.19$ & $-0.22$ & $-0.57$ & $0.00$ & $0.05$ & $-0.06$ \\ $250$ & $10.61$ & $0.43$ & $1.21$ & $0.67$ & $1.45$ & $0.39$ & $-0.54$ & $0.01$ & $0.05$ & $-0.04$ \\ $300$ & $6.800$ & $0.51$ & $1.24$ & $0.73$ & $1.53$ & $0.48$ & $-0.55$ & $0.01$ & $0.04$ & $-0.04$ \\ $400$ & $3.436$ & $0.60$ & $1.06$ & $0.62$ & $1.36$ & $0.46$ & $-0.41$ & $0.01$ & $0.04$ & $-0.03$ \\ $500$ & $2.038$ & $0.71$ & $1.08$ & $0.62$ & $1.44$ & $0.50$ & $-0.37$ & $0.01$ & $0.04$ & $-0.02$ \\ $650$ & $1.063$ & $0.86$ & $1.10$ & $0.63$ & $1.53$ & $0.51$ & $-0.35$ & $0.01$ & $0.05$ & $-0.02$ \\ $800$ & $0.6300$ & $1.05$ & $1.08$ & $0.58$ & $1.61$ & $0.48$ & $-0.31$ & $0.01$ & $0.06$ & $-0.02$ \\ $1000$ & $0.3640$ & $1.21$ & $1.14$ & $0.60$ & $1.77$ & $0.47$ & $-0.31$ & $0.01$ & $0.05$ & $-0.20$ \\ $1200$ & $0.2290$ & $1.45$ & $1.28$ & $0.54$ & $2.01$ & $0.46$ & $-0.24$ & $0.01$ & $0.05$ & $-0.15$ \\ $1500$ & $0.1330$ & $1.72$ & $1.36$ & $0.60$ & $2.27$ & $0.53$ & $-0.21$ & $0.01$ & $0.05$ & $-0.19$ \\ $2000$ & $0.6100 \cdot 10^{-1}$ & $2.09$ & $1.46$ & $0.60$ & $2.62$ & $0.52$ & $-0.24$ & $0.01$ & $0.05$ & $-0.19$ \\ $3000$ & $0.2200 \cdot 10^{-1}$ & $1.96$ & $1.51$ & $0.52$ & $2.52$ & $0.48$ & $-0.16$ & $0.01$ & $0.04$ & $-0.13$ \\ $5000$ & $0.5900 \cdot 10^{-2}$ & $2.46$ & $1.73$ & $0.48$ & $3.05$ & $0.43$ & $-0.15$ & $0.01$ & $0.04$ & $-0.15$ \\ $8000$ & $0.1570 \cdot 10^{-2}$ & $3.81$ & $2.33$ & $0.60$ & $4.51$ & $0.55$ & $-0.06$ & $0.01$ & $0.03$ & $-0.23$ \\ $12000$ & $0.5570 \cdot 10^{-3}$ & $5.73$ & $2.69$ & $0.69$ & $6.36$ & $0.64$ & $0.01$ & $0.02$ & $0.06$ & $-0.25$ \\ $20000$ & $0.1180 \cdot 10^{-3}$ & $9.71$ & $3.92$ & $1.14$ & $10.54$ & $0.92$ & $0.11$ & $0.02$ & $0.04$ & $-0.66$ \\ $30000$ & $0.1860 \cdot 10^{-4}$ & $25.27$ & $6.64$ & $1.98$ & $26.20$ & $1.54$ & $0.32$ & $0.02$ & $0.09$ & $-1.20$ \\ $50000$ & $0.2670 \cdot 10^{-5}$ & $57.78$ & $9.73$ & $1.81$ & $58.62$ & $1.73$ & $0.52$ & $0.00$ & $0.00$ & $0.00$ \\ \hline \end{tabular} \end{center} \caption[RESULT] {\label{tab:ncdq2_eleLH} The NC $e^-p$ cross section ${\rm d}\sigma_{\rm NC}/{\rm d}Q^2$ for lepton beam polarisation $P_e=-25.8$\% and $y<0.9$. The statistical $(\delta_{\rm stat})$, uncorrelated systematic $(\delta_{\rm unc})$, correlated systematic $(\delta_{\rm cor})$ and total $(\delta_{\rm tot})$ errors are provided. In addition the correlated systematic error contributions from a positive variation of one standard deviation of the electron energy error ($\delta_{\rm cor}^{E^+}$), of the polar electron angle error ($\delta_{\rm cor}^{\theta^+}$), of the hadronic energy error ($\delta_{\rm cor}^{h^+}$), of the error due to noise subtraction ($\delta_{\rm cor}^{N^+}$) and of the error due to background subtraction ($\delta_{\rm cor}^{B^+}$) are given. The normalisation and polarisation uncertainties are not included in the errors.} \end{table} %\input{ncDq2e-RH} \begin{table}[htb] \begin{center} \footnotesize \begin{tabular}{|r|l|r|r|r|r|r|r|r|r|r|} \hline $Q^2$ & ${\rm d}\sigma_{\rm NC}/{\rm d}Q^2$ & $\delta_{\rm stat}$ & $\delta_{\rm unc}$ & $\delta_{\rm cor}$ & $\delta_{\rm tot}$ & $\delta_{\rm cor}^{E^+}$ & $\delta_{\rm cor}^{\theta^+}$ & $\delta_{\rm cor}^{h^+}$& $\delta_{\rm cor}^{N^+}$ & $\delta_{\rm cor}^{B^+}$ \\ $(\rm GeV^2)$ &$(\rm pb / \rm GeV^2)$ & $(\%)$ & $(\%)$ & $(\%)$ & $(\%)$ & $(\%)$ & $(\%)$ & $(\%)$ & $(\%)$ & $(\%)$ \\ % & $y<0.9$ & & & & & & & & & \\ \hline $200$ & $17.78$ & $0.62$ & $0.91$ & $0.60$ & $1.25$ & $-0.19$ & $-0.56$ & $0.00$ & $0.05$ & $-0.06$ \\ $250$ & $10.32$ & $0.65$ & $1.22$ & $0.64$ & $1.52$ & $0.38$ & $-0.52$ & $0.00$ & $0.04$ & $-0.05$ \\ $300$ & $6.781$ & $0.76$ & $1.27$ & $0.77$ & $1.67$ & $0.53$ & $-0.57$ & $0.00$ & $0.05$ & $-0.03$ \\ $400$ & $3.343$ & $0.91$ & $1.05$ & $0.61$ & $1.52$ & $0.45$ & $-0.41$ & $0.01$ & $0.04$ & $-0.03$ \\ $500$ & $1.928$ & $1.08$ & $1.09$ & $0.68$ & $1.68$ & $0.53$ & $-0.42$ & $0.01$ & $0.04$ & $-0.02$ \\ $650$ & $1.030$ & $1.29$ & $1.11$ & $0.63$ & $1.82$ & $0.53$ & $-0.34$ & $0.01$ & $0.05$ & $-0.02$ \\ $800$ & $0.6080$ & $1.59$ & $1.09$ & $0.55$ & $2.00$ & $0.46$ & $-0.30$ & $0.01$ & $0.05$ & $-0.02$ \\ $1000$ & $0.3480$ & $1.88$ & $1.17$ & $0.60$ & $2.29$ & $0.48$ & $-0.31$ & $0.01$ & $0.05$ & $-0.18$ \\ $1200$ & $0.2160$ & $2.18$ & $1.29$ & $0.59$ & $2.60$ & $0.50$ & $-0.23$ & $0.01$ & $0.04$ & $-0.20$ \\ $1500$ & $0.1210$ & $2.72$ & $1.35$ & $0.54$ & $3.08$ & $0.48$ & $-0.23$ & $0.01$ & $0.05$ & $-0.10$ \\ $2000$ & $0.5700 \cdot 10^{-1}$ & $3.21$ & $1.45$ & $0.57$ & $3.57$ & $0.51$ & $-0.18$ & $0.01$ & $0.05$ & $-0.18$ \\ $3000$ & $0.2020 \cdot 10^{-1}$ & $2.99$ & $1.58$ & $0.60$ & $3.43$ & $0.54$ & $-0.17$ & $0.01$ & $0.05$ & $-0.18$ \\ $5000$ & $0.5190 \cdot 10^{-2}$ & $4.10$ & $1.72$ & $0.42$ & $4.47$ & $0.37$ & $-0.11$ & $0.01$ & $0.05$ & $-0.16$ \\ $8000$ & $0.1490 \cdot 10^{-2}$ & $5.83$ & $2.33$ & $0.63$ & $6.31$ & $0.56$ & $-0.09$ & $0.01$ & $0.06$ & $-0.27$ \\ $12000$ & $0.4650 \cdot 10^{-3}$ & $9.30$ & $2.90$ & $0.79$ & $9.77$ & $0.76$ & $-0.03$ & $0.02$ & $0.05$ & $-0.21$ \\ $20000$ & $0.7660 \cdot 10^{-4}$ & $17.86$ & $3.82$ & $0.81$ & $18.28$ & $0.80$ & $0.11$ & $0.02$ & $0.05$ & $-0.04$ \\ $30000$ & $0.2200 \cdot 10^{-4}$ & $34.74$ & $6.25$ & $2.43$ & $35.38$ & $1.67$ & $0.07$ & $0.01$ & $0.04$ & $-1.77$ \\ \hline \end{tabular} \end{center} \caption[RESULT] {\label{tab:ncdq2_eleRH} The NC $e^-p$ cross section ${\rm d}\sigma_{\rm NC}/{\rm d}Q^2$ for lepton beam polarisation $P_e=+36.0$\% and $y<0.9$. The statistical $(\delta_{\rm stat})$, uncorrelated systematic $(\delta_{\rm unc})$, correlated systematic $(\delta_{\rm cor})$ and total $(\delta_{\rm tot})$ errors are provided. In addition the correlated systematic error contributions from a positive variation of one standard deviation of the electron energy error ($\delta_{\rm cor}^{E^+}$), of the polar electron angle error ($\delta_{\rm cor}^{\theta^+}$), of the hadronic energy error ($\delta_{\rm cor}^{h^+}$), of the error due to noise subtraction ($\delta_{\rm cor}^{N^+}$) and of the error due to background subtraction ($\delta_{\rm cor}^{B^+}$) are given. The normalisation and polarisation uncertainties are not included in the errors.} \end{table} %\input{ncDq2e+LH} \begin{table}[htb] \begin{center} \footnotesize \begin{tabular}{|r|l|r|r|r|r|r|r|r|r|r|} \hline $Q^2$ & ${\rm d}\sigma_{\rm NC}/{\rm d}Q^2$ & $\delta_{\rm stat}$ & $\delta_{\rm unc}$ & $\delta_{\rm cor}$ & $\delta_{\rm tot}$ & $\delta_{\rm cor}^{E^+}$ & $\delta_{\rm cor}^{\theta^+}$ & $\delta_{\rm cor}^{h^+}$& $\delta_{\rm cor}^{N^+}$ & $\delta_{\rm cor}^{B^+}$ \\ $(\rm GeV^2)$ &$(\rm pb / \rm GeV^2)$ & $(\%)$ & $(\%)$ & $(\%)$ & $(\%)$ & $(\%)$ & $(\%)$ & $(\%)$ & $(\%)$ & $(\%)$ \\ % & $y<0.9$ & & & & & & & & & \\ \hline $200$ & $18.16$ & $0.47$ & $0.80$ & $0.65$ & $1.14$ & $-0.23$ & $-0.61$ & $0.01$ & $0.05$ & $-0.06$ \\ $250$ & $10.61$ & $0.49$ & $1.12$ & $0.66$ & $1.39$ & $0.40$ & $-0.52$ & $0.01$ & $0.04$ & $-0.04$ \\ $300$ & $6.897$ & $0.57$ & $1.15$ & $0.72$ & $1.47$ & $0.47$ & $-0.54$ & $0.01$ & $0.04$ & $-0.04$ \\ $400$ & $3.419$ & $0.67$ & $0.98$ & $0.63$ & $1.35$ & $0.46$ & $-0.43$ & $0.00$ & $0.04$ & $-0.03$ \\ $500$ & $1.995$ & $0.81$ & $0.98$ & $0.64$ & $1.43$ & $0.50$ & $-0.40$ & $0.01$ & $0.04$ & $-0.03$ \\ $650$ & $1.029$ & $0.98$ & $1.02$ & $0.68$ & $1.57$ & $0.55$ & $-0.40$ & $0.01$ & $0.04$ & $-0.02$ \\ $800$ & $0.6030$ & $1.19$ & $1.06$ & $0.66$ & $1.73$ & $0.55$ & $-0.36$ & $0.01$ & $0.05$ & $-0.02$ \\ $1000$ & $0.3390$ & $1.41$ & $1.03$ & $0.54$ & $1.83$ & $0.42$ & $-0.27$ & $0.01$ & $0.05$ & $-0.19$ \\ $1200$ & $0.2130$ & $1.66$ & $1.21$ & $0.63$ & $2.14$ & $0.52$ & $-0.28$ & $0.01$ & $0.05$ & $-0.18$ \\ $1500$ & $0.1190$ & $2.06$ & $1.39$ & $0.65$ & $2.57$ & $0.59$ & $-0.20$ & $0.01$ & $0.05$ & $-0.17$ \\ $2000$ & $0.5470 \cdot 10^{-1}$ & $2.45$ & $1.39$ & $0.57$ & $2.87$ & $0.49$ & $-0.23$ & $0.01$ & $0.04$ & $-0.17$ \\ $3000$ & $0.1830 \cdot 10^{-1}$ & $2.34$ & $1.60$ & $0.68$ & $2.92$ & $0.64$ & $-0.17$ & $0.01$ & $0.05$ & $-0.18$ \\ $5000$ & $0.4070 \cdot 10^{-2}$ & $3.27$ & $1.75$ & $0.55$ & $3.75$ & $0.46$ & $-0.12$ & $0.01$ & $0.04$ & $-0.28$ \\ $8000$ & $0.9380 \cdot 10^{-3}$ & $5.47$ & $2.49$ & $0.91$ & $6.08$ & $0.76$ & $-0.11$ & $0.02$ & $0.03$ & $-0.49$ \\ $12000$ & $0.2170 \cdot 10^{-3}$ & $10.30$ & $3.20$ & $0.91$ & $10.83$ & $0.76$ & $-0.04$ & $0.01$ & $0.05$ & $-0.49$ \\ $20000$ & $0.2920 \cdot 10^{-4}$ & $21.41$ & $4.38$ & $1.15$ & $21.89$ & $1.14$ & $0.07$ & $0.01$ & $0.05$ & $-0.13$ \\ \hline \end{tabular} \end{center} \caption[RESULT] {\label{tab:ncdq2_posLH} The NC $e^+p$ cross section ${\rm d}\sigma_{\rm NC}/{\rm d}Q^2$ for lepton beam polarisation $P_e=-37.0$\% and $y<0.9$. The statistical $(\delta_{\rm stat})$, uncorrelated systematic $(\delta_{\rm unc})$, correlated systematic $(\delta_{\rm cor})$ and total $(\delta_{\rm tot})$ errors are provided. In addition the correlated systematic error contributions from a positive variation of one standard deviation of the electron energy error ($\delta_{\rm cor}^{E^+}$), of the polar electron angle error ($\delta_{\rm cor}^{\theta^+}$), of the hadronic energy error ($\delta_{\rm cor}^{h^+}$), of the error due to noise subtraction ($\delta_{\rm cor}^{N^+}$) and of the error due to background subtraction ($\delta_{\rm cor}^{B^+}$) are given. The normalisation and polarisation uncertainties are not included in the errors.} \end{table} %\input{ncDq2e+RH} \begin{table}[htb] \begin{center} \footnotesize \begin{tabular}{|r|l|r|r|r|r|r|r|r|r|r|} \hline $Q^2$ & ${\rm d}\sigma_{\rm NC}/{\rm d}Q^2$ & $\delta_{\rm stat}$ & $\delta_{\rm unc}$ & $\delta_{\rm cor}$ & $\delta_{\rm tot}$ & $\delta_{\rm cor}^{E^+}$ & $\delta_{\rm cor}^{\theta^+}$ & $\delta_{\rm cor}^{h^+}$& $\delta_{\rm cor}^{N^+}$ & $\delta_{\rm cor}^{B^+}$ \\ $(\rm GeV^2)$ &$(\rm pb / \rm GeV^2)$ & $(\%)$ & $(\%)$ & $(\%)$ & $(\%)$ & $(\%)$ & $(\%)$ & $(\%)$ & $(\%)$ & $(\%)$ \\ % & $y<0.9$ & & & & & & & & & \\ \hline $200$ & $17.84$ & $0.42$ & $0.80$ & $0.63$ & $1.10$ & $-0.23$ & $-0.57$ & $0.01$ & $0.05$ & $-0.07$ \\ $250$ & $10.49$ & $0.44$ & $1.14$ & $0.69$ & $1.40$ & $0.42$ & $-0.55$ & $0.00$ & $0.04$ & $-0.05$ \\ $300$ & $6.814$ & $0.52$ & $1.15$ & $0.70$ & $1.44$ & $0.46$ & $-0.53$ & $0.00$ & $0.04$ & $-0.04$ \\ $400$ & $3.392$ & $0.61$ & $0.96$ & $0.61$ & $1.29$ & $0.45$ & $-0.41$ & $0.00$ & $0.04$ & $-0.03$ \\ $500$ & $2.004$ & $0.72$ & $0.98$ & $0.65$ & $1.38$ & $0.51$ & $-0.40$ & $0.01$ & $0.04$ & $-0.03$ \\ $650$ & $1.059$ & $0.87$ & $1.03$ & $0.66$ & $1.50$ & $0.54$ & $-0.38$ & $0.01$ & $0.05$ & $-0.03$ \\ $800$ & $0.6260$ & $1.04$ & $1.03$ & $0.63$ & $1.60$ & $0.53$ & $-0.34$ & $0.01$ & $0.06$ & $-0.03$ \\ $1000$ & $0.3490$ & $1.26$ & $1.02$ & $0.54$ & $1.71$ & $0.42$ & $-0.28$ & $0.01$ & $0.06$ & $-0.21$ \\ $1200$ & $0.2180$ & $1.49$ & $1.21$ & $0.57$ & $2.00$ & $0.48$ & $-0.26$ & $0.01$ & $0.05$ & $-0.17$ \\ $1500$ & $0.1220$ & $1.75$ & $1.28$ & $0.58$ & $2.25$ & $0.52$ & $-0.22$ & $0.01$ & $0.06$ & $-0.14$ \\ $2000$ & $0.5850 \cdot 10^{-1}$ & $2.15$ & $1.43$ & $0.64$ & $2.66$ & $0.57$ & $-0.23$ & $0.01$ & $0.05$ & $-0.16$ \\ $3000$ & $0.2020 \cdot 10^{-1}$ & $2.06$ & $1.54$ & $0.59$ & $2.64$ & $0.54$ & $-0.13$ & $0.01$ & $0.04$ & $-0.17$ \\ $5000$ & $0.4920 \cdot 10^{-2}$ & $2.68$ & $1.76$ & $0.51$ & $3.25$ & $0.44$ & $-0.15$ & $0.01$ & $0.04$ & $-0.20$ \\ $8000$ & $0.1140 \cdot 10^{-2}$ & $4.75$ & $2.39$ & $0.74$ & $5.37$ & $0.68$ & $-0.04$ & $0.01$ & $0.04$ & $-0.28$ \\ $12000$ & $0.2750 \cdot 10^{-3}$ & $8.24$ & $2.91$ & $0.82$ & $8.77$ & $0.74$ & $-0.13$ & $0.01$ & $0.05$ & $-0.33$ \\ $20000$ & $0.4080 \cdot 10^{-4}$ & $16.20$ & $4.65$ & $1.14$ & $16.90$ & $1.08$ & $0.20$ & $0.03$ & $0.06$ & $-0.29$ \\ $30000$ & $0.6680 \cdot 10^{-5}$ & $41.62$ & $6.22$ & $1.46$ & $42.11$ & $1.45$ & $0.05$ & $0.01$ & $0.04$ & $-0.15$ \\ \hline \end{tabular} \end{center} \caption[RESULT] {\label{tab:ncdq2_posRH} The NC $e^+p$ cross section ${\rm d}\sigma_{\rm NC}/{\rm d}Q^2$ for lepton beam polarisation $P_e=+32.5$\% and $y<0.9$. The statistical $(\delta_{\rm stat})$, uncorrelated systematic $(\delta_{\rm unc})$, correlated systematic $(\delta_{\rm cor})$ and total $(\delta_{\rm tot})$ errors are provided. In addition the correlated systematic error contributions from a positive variation of one standard deviation of the electron energy error ($\delta_{\rm cor}^{E^+}$), of the polar electron angle error ($\delta_{\rm cor}^{\theta^+}$), of the hadronic energy error ($\delta_{\rm cor}^{h^+}$), of the error due to noise subtraction ($\delta_{\rm cor}^{N^+}$) and of the error due to background subtraction ($\delta_{\rm cor}^{B^+}$) are given. The normalisation and polarisation uncertainties are not included in the errors.} \end{table} \clearpage \newpage % table 37-40 %\input{ccDq2e-LH} \begin{table}[htb] \begin{center} \footnotesize \renewcommand{\arraystretch}{1.22} \begin{tabular}{|r|l|l|r|r|r|r|r|r|r|r|} \hline $Q^2$ & ${\rm d}\sigma_{\rm CC}/{\rm d}Q^2$ & $k_{\rm cor}$ & $\delta_{\rm stat}$ & $\delta_{\rm unc}$ & $\delta_{\rm cor}$ & $\delta_{\rm tot}$ & $\delta_{\rm cor}^{V^+}$ & $\delta_{\rm cor}^{h^+}$& $\delta_{\rm cor}^{N^+}$ & $\delta_{\rm cor}^{B^+}$ \\ $(\rm GeV^2)$ &$(\rm pb / \rm GeV^2)$ & & $(\%)$ & $(\%)$ & $(\%)$ & $(\%)$ & $(\%)$ & $(\%)$ & $(\%)$ & $(\%)$ \\ % & $y<0.9$ & & & & & & & & & \\ \hline $300$ & $0.426 \cdot 10^{-1}$ & $1.493$ & $8.7$ & $7.5$ & $6.4$ & $13.1$ & $5.7$ & $-0.5$ & $-1.3$ & $-2.2$ \\ $500$ & $0.282 \cdot 10^{-1}$ & $1.246$ & $4.9$ & $4.4$ & $4.0$ & $7.8$ & $3.7$ & $-0.6$ & $-0.9$ & $-0.3$ \\ $1000$ & $0.203 \cdot 10^{-1}$ & $1.071$ & $3.8$ & $3.2$ & $2.2$ & $5.5$ & $2.1$ & $-0.4$ & $-0.5$ & $-0.1$ \\ $2000$ & $0.118 \cdot 10^{-1}$ & $1.024$ & $3.3$ & $2.5$ & $1.0$ & $4.3$ & $0.9$ & $-0.2$ & $-0.2$ & $-0.0$ \\ $3000$ & $0.713 \cdot 10^{-2}$ & $1.027$ & $3.4$ & $2.1$ & $0.6$ & $4.1$ & $0.2$ & $-0.0$ & $0.3$ & $-0.1$ \\ $5000$ & $0.374 \cdot 10^{-2}$ & $1.033$ & $3.7$ & $2.3$ & $0.7$ & $4.4$ & $-0.0$ & $0.1$ & $0.4$ & $-0.0$ \\ $8000$ & $0.168 \cdot 10^{-2}$ & $1.049$ & $4.7$ & $3.5$ & $1.6$ & $6.2$ & $-0.0$ & $0.8$ & $1.2$ & $0.0$ \\ $15000$ & $0.425 \cdot 10^{-3}$ & $1.082$ & $6.5$ & $5.9$ & $2.7$ & $9.2$ & $0.0$ & $1.6$ & $1.9$ & $0.0$ \\ $30000$ & $0.388 \cdot 10^{-4}$ & $1.195$ & $14.5$ & $11.4$ & $5.3$ & $19.2$ & $0.0$ & $3.3$ & $3.3$ & $0.0$ \\ \hline \end{tabular} \end{center} \caption[RESULT] {\label{tab:ccdq2_eleLH} The CC $e^-p$ cross section ${\rm d}\sigma_{\rm CC}/{\rm d}Q^2$ for lepton beam polarisation $P_e=-25.8$\% and $y<0.9$ after correction ($k_{\rm cor}$) according to the Standard Model expectation for the kinematic cuts $P_{T,h}>12$~GeV and $0.0312$~GeV and $0.0312$~GeV and $0.0312$~GeV and $0.0312$~GeV and $0.0312$~GeV and $0.03