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%\usepackage{epsfig} %\usepackage{dcolumn} %\usepackage{amsmath} % \linenumbers % Remove for final publication!!!!! % Some pdf tex commands m.k. % % \newcommand{\bs}{\overline{s}} \newcommand{\bc}{\overline{c}} \newcommand{\bu}{\overline{u}} \newcommand{\bd}{\overline{d}} \newcommand{\bb}{\overline{b}} \newcommand{\bU}{\overline{U}} \newcommand{\bD}{\overline{D}} \newcommand{\bq}{\overline{q}} \newcommand{\xbq}{x \overline{q}} \newcommand{\pb}{\,pb$^{-1}$} \newcommand{\PTM} {P_T\hspace{-2.2ex}/\hspace{1.2ex}} \begin{document} % change natbib spacing between numbers in citations \makeatletter \def\NAT@space{} \makeatother \begin{titlepage} \noindent DESY 09-158 \hfill ISSN 0418-9833 \\ October 2009 \\ \vspace*{4.5cm} \begin{center} \begin{Large} {\bfseries Combined Measurement and QCD Analysis of the Inclusive $\mathbold{e^{\pm}p}$ Scattering Cross Sections at HERA} \vspace*{2cm} H1 and ZEUS Collaborations \end{Large} \end{center} \vspace*{2cm} \begin{abstract} \noindent A combination is presented of the inclusive deep inelastic cross sections measured by the H1 and ZEUS Collaborations in neutral and charged current unpolarised $e^{\pm}p$ scattering at HERA during the period $1994$-$2000$. The data span six orders of magnitude in negative four-momentum-transfer squared, $Q^2$, and in Bjorken $x$. %and were taken in the first period of operating the %collider. The combination method used takes the correlations of systematic uncertainties into account, % and represents % a cross calibration of the consistent H1 and ZEUS measurements resulting in an improved accuracy. The combined data are the sole input in a NLO QCD analysis which determines a new set of parton distributions HERAPDF1.0 with small experimental uncertainties. %, for $x \lesssim 0.3$, based on a $\Delta \chi^2 =1$ criterion. This set includes an estimate of the model and parametrisation uncertainties of the fit result. \end{abstract} \vspace*{1.5cm} \begin{center} %{\slshape Submitted to JHEP} \end{center} \end{titlepage} \begin{flushleft} %\input{h1zeus-auth-oct2009-V1} % \input{h1zeus-auth-herapdf} \begin{center} { \Large The H1 and ZEUS Collaborations } \end{center} F.D.~Aaron$^{13, a8}$, H.~Abramowicz$^{72, a36}$, I.~Abt$^{57}$, L.~Adamczyk$^{19}$, M.~Adamus$^{84}$, M.~Aldaya~Martin$^{31}$, C.~Alexa$^{13}$, K.~Alimujiang$^{31}$, V.~Andreev$^{54}$, S.~Antonelli$^{9}$, P.~Antonioli$^{8}$, A.~Antonov$^{55}$, B.~Antunovic$^{31}$, M.~Arneodo$^{77}$, V.~Aushev$^{36, a31}$, O.~Bachynska$^{31}$, S.~Backovic$^{64}$, A.~Baghdasaryan$^{86}$, A.~Bamberger$^{27}$, A.N.~Barakbaev$^{2}$, G.~Barbagli$^{25}$, G.~Bari$^{8}$, F.~Barreiro$^{50}$, E.~Barrelet$^{63}$, W.~Bartel$^{31}$, D.~Bartsch$^{10}$, M.~Basile$^{9}$, K.~Begzsuren$^{80}$, O.~Behnke$^{31}$, J.~Behr$^{31}$, U.~Behrens$^{31}$, L.~Bellagamba$^{8}$, A.~Belousov$^{54}$, A.~Bertolin$^{60}$, S.~Bhadra$^{88}$, M.~Bindi$^{9}$, J.C.~Bizot$^{58}$, C.~Blohm$^{31}$, T.~Bo{\l}d$^{19}$, E.G.~Boos$^{2}$, M.~Borodin$^{36}$, K.~Borras$^{31}$, D.~Boscherini$^{8}$, D.~Bot$^{31}$, V.~Boudry$^{62}$, S.K.~Boutle$^{42, a27}$, I.~Bozovic-Jelisavcic$^{5}$, J.~Bracinik$^{7}$, G.~Brandt$^{31}$, M.~Brinkmann$^{30}$, V.~Brisson$^{58}$, I.~Brock$^{10}$, E.~Brownson$^{49}$, R.~Brugnera$^{61}$, N.~Br\"ummer$^{16}$, D.~Bruncko$^{37}$, A.~Bruni$^{8}$, G.~Bruni$^{8}$, B.~Brzozowska$^{83}$, A.~Bunyatyan$^{32, 86}$, G.~Buschhorn$^{57}$, P.J.~Bussey$^{29}$, J.M.~Butterworth$^{42}$, B.~Bylsma$^{16}$, L.~Bystritskaya$^{53}$, A.~Caldwell$^{57}$, A.J.~Campbell$^{31}$, K.B.~Cantun~Avila$^{47}$, M.~Capua$^{17}$, R.~Carlin$^{61}$, C.D.~Catterall$^{88}$, K.~Cerny$^{66}$, V.~Cerny$^{37, a6}$, S.~Chekanov$^{4}$, V.~Chekelian$^{57}$, A.~Cholewa$^{31}$, J.~Chwastowski$^{18}$, J.~Ciborowski$^{83, a42}$, R.~Ciesielski$^{31}$, L.~Cifarelli$^{9}$, F.~Cindolo$^{8}$, A.~Contin$^{9}$, J.G.~Contreras$^{47}$, A.M.~Cooper-Sarkar$^{59}$, N.~Coppola$^{31}$, M.~Corradi$^{8}$, F.~Corriveau$^{52}$, M.~Costa$^{76}$, J.A.~Coughlan$^{22}$, G.~Cozzika$^{28}$, J.~Cvach$^{65}$, G.~D'Agostini$^{69}$, J.B.~Dainton$^{41}$, F.~Dal~Corso$^{60}$, K.~Daum$^{85, a2}$, M.~De\'ak$^{31}$, J.~de~Favereau$^{45}$, B.~Delcourt$^{58}$, J.~del~Peso$^{50}$, J.~Delvax$^{12}$, R.K.~Dementiev$^{56}$, S.~De~Pasquale$^{9, a11}$, M.~Derrick$^{4}$, R.C.E.~Devenish$^{59}$, E.A.~De~Wolf$^{12}$, C.~Diaconu$^{51}$, D.~Dobur$^{27}$, V.~Dodonov$^{32}$, B.A.~Dolgoshein$^{55}$, A.~Dossanov$^{57}$, A.T.~Doyle$^{29}$, V.~Drugakov$^{89}$, A.~Dubak$^{64, a5}$, L.S.~Durkin$^{16}$, S.~Dusini$^{60}$, G.~Eckerlin$^{31}$, V.~Efremenko$^{53}$, S.~Egli$^{82}$, Y.~Eisenberg$^{67}$, A.~Eliseev$^{54}$, E.~Elsen$^{31}$, P.F.~Ermolov~$^{56, \dagger}$, A.~Eskreys$^{18}$, A.~Falkiewicz$^{18}$, S.~Fang$^{31}$, L.~Favart$^{12}$, S.~Fazio$^{17}$, A.~Fedotov$^{53}$, R.~Felst$^{31}$, J.~Feltesse$^{28, a7}$, J.~Ferencei$^{37}$, J.~Ferrando$^{59}$, M.I.~Ferrero$^{76}$, J.~Figiel$^{18}$, D.-J.~Fischer$^{31}$, M.~Fleischer$^{31}$, A.~Fomenko$^{54}$, M.~Forrest$^{29}$, B.~Foster$^{59}$, S.~Fourletov$^{78, a40}$, E.~Gabathuler$^{41}$, A.~Galas$^{18}$, E.~Gallo$^{25}$, A.~Garfagnini$^{61}$, J.~Gayler$^{31}$, A.~Geiser$^{31}$, S.~Ghazaryan$^{31}$, I.~Gialas$^{15, a27}$, L.K.~Gladilin$^{56}$, D.~Gladkov$^{55}$, C.~Glasman$^{50}$, A.~Glazov$^{31}$, I.~Glushkov$^{89}$, L.~Goerlich$^{18}$, N.~Gogitidze$^{54}$, Yu.A.~Golubkov$^{56}$, P.~G\"ottlicher$^{31, a17}$, M.~Gouzevitch$^{31}$, C.~Grab$^{90}$, I.~Grabowska-Bo{\l}d$^{19}$, J.~Grebenyuk$^{31}$, T.~Greenshaw$^{41}$, I.~Gregor$^{31}$, B.R.~Grell$^{31}$, G.~Grigorescu$^{3}$, G.~Grindhammer$^{57}$, G.~Grzelak$^{83}$, C.~Gwenlan$^{59, a33}$, T.~Haas$^{31}$, S.~Habib$^{30}$, D.~Haidt$^{31}$, W.~Hain$^{31}$, R.~Hamatsu$^{75}$, J.C.~Hart$^{22}$, H.~Hartmann$^{10}$, G.~Hartner$^{88}$, C.~Helebrant$^{31}$, R.C.W.~Henderson$^{40}$, E.~Hennekemper$^{34}$, H.~Henschel$^{89}$, M.~Herbst$^{34}$, G.~Herrera$^{48}$, M.~Hildebrandt$^{82}$, E.~Hilger$^{10}$, K.H.~Hiller$^{89}$, D.~Hochman$^{67}$, D.~Hoffmann$^{51}$, U.~Holm$^{30}$, R.~Hori$^{74}$, R.~Horisberger$^{82}$, K.~Horton$^{59, a34}$, T.~Hreus$^{12, a3}$, A.~H\"uttmann$^{31}$, G.~Iacobucci$^{8}$, Z.A.~Ibrahim$^{38}$, Y.~Iga$^{70}$, R.~Ingbir$^{72}$, M.~Ishitsuka$^{73}$, M.~Jacquet$^{58}$, H.-P.~Jakob$^{10}$, X.~Janssen$^{12}$, F.~Januschek$^{31}$, M.~Jimenez$^{50}$, T.W.~Jones$^{42}$, L.~J\"onsson$^{46}$, A.W.~Jung$^{34}$, H.~Jung$^{31}$, M.~J\"ungst$^{10}$, I.~Kadenko$^{36}$, B.~Kahle$^{31}$, B.~Kamaluddin$^{38}$, S.~Kananov$^{72}$, T.~Kanno$^{73}$, M.~Kapichine$^{24}$, U.~Karshon$^{67}$, F.~Karstens$^{27}$, I.I.~Katkov$^{31, a18}$, J.~Katzy$^{31}$, M.~Kaur$^{14}$, P.~Kaur$^{14, a13}$, I.R.~Kenyon$^{7}$, A.~Keramidas$^{3}$, L.A.~Khein$^{56}$, C.~Kiesling$^{57}$, J.Y.~Kim$^{39, a45}$, D.~Kisielewska$^{19}$, S.~Kitamura$^{75, a37}$, R.~Klanner$^{30}$, M.~Klein$^{41}$, U.~Klein$^{31, a19}$, C.~Kleinwort$^{31}$, T.~Kluge$^{41}$, A.~Knutsson$^{31}$, E.~Koffeman$^{3}$, R.~Kogler$^{57}$, D.~Kollar$^{57}$, P.~Kooijman$^{3}$, Ie.~Korol$^{36}$, I.A.~Korzhavina$^{56}$, E.~Kosior$^{31}$, P.~Kostka$^{89}$, A.~Kota\'nski$^{20, a15}$, U.~K\"otz$^{31}$, H.~Kowalski$^{31}$, M.~Kraemer$^{31}$, K.~Krastev$^{31}$, J.~Kretzschmar$^{41}$, A.~Kropivnitskaya$^{53}$, K.~Kr\"uger$^{34}$, P.~Kulinski$^{83}$, O.~Kuprash$^{36}$, K.~Kutak$^{31}$, M.~Kuze$^{73}$, V.A.~Kuzmin$^{56}$, M.P.J.~Landon$^{43}$, W.~Lange$^{89}$, G.~La\v{s}tovi\v{c}ka-Medin$^{64}$, P.~Laycock$^{41}$, A.~Lebedev$^{54}$, A.~Lee$^{16}$, V.~Lendermann$^{34}$, B.B.~Levchenko$^{56, a32}$, S.~Levonian$^{31}$, A.~Levy$^{72}$, G.~Li$^{58}$, V.~Libov$^{31}$, S.~Limentani$^{61}$, T.Y.~Ling$^{16}$, K.~Lipka$^{31}$, A.~Liptaj$^{57}$, M.~Lisovyi$^{31}$, B.~List$^{30}$, J.~List$^{31}$, E.~Lobodzinska$^{31}$, W.~Lohmann$^{89}$, B.~L\"ohr$^{31}$, E.~Lohrmann$^{30}$, J.H.~Loizides$^{42}$, N.~Loktionova$^{54}$, K.R.~Long$^{44}$, A.~Longhin$^{60}$, D.~Lontkovskyi$^{36}$, R.~Lopez-Fernandez$^{48}$, V.~Lubimov$^{53}$, J.~{\L}ukasik$^{19, a14}$, O.Yu.~Lukina$^{56}$, P.~{\L}u\.zniak$^{83, a43}$, J.~Maeda$^{73}$, S.~Magill$^{4}$, A.~Makankine$^{24}$, I.~Makarenko$^{36}$, E.~Malinovski$^{54}$, J.~Malka$^{83, a43}$, R.~Mankel$^{31, a20}$, P.~Marage$^{12}$, A.~Margotti$^{8}$, G.~Marini$^{69}$, Ll.~Marti$^{31}$, J.F.~Martin$^{78}$, H.-U.~Martyn$^{1}$, A.~Mastroberardino$^{17}$, T.~Matsumoto$^{79, a28}$, M.C.K.~Mattingly$^{6}$, S.J.~Maxfield$^{41}$, A.~Mehta$^{41}$, I.-A.~Melzer-Pellmann$^{31}$, A.B.~Meyer$^{31}$, H.~Meyer$^{31}$, H.~Meyer$^{85}$, J.~Meyer$^{31}$, S.~Miglioranzi$^{31, a21}$, S.~Mikocki$^{18}$, I.~Milcewicz-Mika$^{18}$, F.~Mohamad Idris$^{38}$, V.~Monaco$^{76}$, A.~Montanari$^{31}$, F.~Moreau$^{62}$, A.~Morozov$^{24}$, J.D.~Morris$^{11, a12}$, J.V.~Morris$^{22}$, M.U.~Mozer$^{12}$, M.~Mudrinic$^{5}$, K.~M\"uller$^{91}$, P.~Mur\'{\i}n$^{37, a3}$, B.~Musgrave$^{4}$, K.~Nagano$^{79}$, T.~Namsoo$^{31}$, R.~Nania$^{8}$, Th.~Naumann$^{89}$, P.R.~Newman$^{7}$, D.~Nicholass$^{4, a10}$, C.~Niebuhr$^{31}$, A.~Nigro$^{69}$, A.~Nikiforov$^{31}$, D.~Nikitin$^{24}$, Y.~Ning$^{35}$, U.~Noor$^{88}$, D.~Notz$^{31}$, G.~Nowak$^{18}$, K.~Nowak$^{91}$, R.J.~Nowak$^{83}$, A.E.~Nuncio-Quiroz$^{10}$, B.Y.~Oh$^{81}$, N.~Okazaki$^{74}$, K.~Oliver$^{59}$, K.~Olkiewicz$^{18}$, J.E.~Olsson$^{31}$, Yu.~Onishchuk$^{36}$, S.~Osman$^{46}$, O.~Ota$^{75, a38}$, D.~Ozerov$^{53}$, V.~Palichik$^{24}$, I.~Panagoulias$^{31, a1, b13}$, M.~Pandurovic$^{5}$, Th.~Papadopoulou$^{31, a1, b13}$, K.~Papageorgiu$^{15}$, A.~Parenti$^{31}$, C.~Pascaud$^{58}$, G.D.~Patel$^{41}$, E.~Paul$^{10}$, J.M.~Pawlak$^{83}$, B.~Pawlik$^{18}$, O.~Pejchal$^{66}$, P.G.~Pelfer$^{26}$, A.~Pellegrino$^{3}$, E.~Perez$^{28, a4}$, W.~Perlanski$^{83, a43}$, H.~Perrey$^{30}$, A.~Petrukhin$^{53}$, I.~Picuric$^{64}$, S.~Piec$^{89}$, K.~Piotrzkowski$^{45}$, D.~Pitzl$^{31}$, R.~Pla\v{c}akyt\.e$^{31}$, P.~Plucinski$^{84, a44}$, B.~Pokorny$^{30}$, N.S.~Pokrovskiy$^{2}$, R.~Polifka$^{66}$, A.~Polini$^{8}$, B.~Povh$^{32}$, A.S.~Proskuryakov$^{56}$, M.~Przybycie\'n$^{19}$, V.~Radescu$^{31}$, A.J.~Rahmat$^{41}$, N.~Raicevic$^{64}$, A.~Raspiareza$^{57}$, A.~Raval$^{31}$, T.~Ravdandorj$^{80}$, D.D.~Reeder$^{49}$, P.~Reimer$^{65}$, B.~Reisert$^{57}$, Z.~Ren$^{35}$, J.~Repond$^{4}$, Y.D.~Ri$^{75, a39}$, E.~Rizvi$^{43}$, A.~Robertson$^{59}$, P.~Robmann$^{91}$, B.~Roland$^{12}$, P.~Roloff$^{31}$, E.~Ron$^{50}$, R.~Roosen$^{12}$, A.~Rostovtsev$^{53}$, M.~Rotaru$^{13}$, I.~Rubinsky$^{31}$, J.E.~Ruiz~Tabasco$^{47}$, S.~Rusakov$^{54}$, M.~Ruspa$^{77}$, R.~Sacchi$^{76}$, D.~S\'alek$^{66}$, A.~Salii$^{36}$, U.~Samson$^{10}$, D.P.C.~Sankey$^{22}$, G.~Sartorelli$^{9}$, M.~Sauter$^{33}$, E.~Sauvan$^{51}$, A.A.~Savin$^{49}$, D.H.~Saxon$^{29}$, M.~Schioppa$^{17}$, S.~Schlenstedt$^{89}$, P.~Schleper$^{30}$, W.B.~Schmidke$^{57}$, S.~Schmitt$^{31}$, U.~Schneekloth$^{31}$, L.~Schoeffel$^{28}$, V.~Sch\"onberg$^{10}$, A.~Sch\"oning$^{33}$, T.~Sch\"orner-Sadenius$^{30}$, H.-C.~Schultz-Coulon$^{34}$, J.~Schwartz$^{52}$, F.~Sciulli$^{35}$, F.~Sefkow$^{31}$, R.N.~Shaw-West$^{7}$, L.M.~Shcheglova$^{56}$, R.~Shehzadi$^{10}$, S.~Shimizu$^{74, a21}$, L.N.~Shtarkov$^{54}$, S.~Shushkevich$^{57}$, I.~Singh$^{14, a13}$, I.O.~Skillicorn$^{29}$, T.~Sloan$^{40}$, W.~S{\l}omi\'nski$^{20, a16}$, I.~Smiljanic$^{5}$, W.H.~Smith$^{49}$, V.~Sola$^{76}$, A.~Solano$^{76}$, Y.~Soloviev$^{54}$, D.~Son$^{21}$, P.~Sopicki$^{18}$, Iu.~Sorokin$^{36}$, V.~Sosnovtsev$^{55}$, D.~South$^{23}$, V.~Spaskov$^{24}$, A.~Specka$^{62}$, A.~Spiridonov$^{31, a22}$, H.~Stadie$^{30}$, L.~Stanco$^{60}$, Z.~Staykova$^{31}$, M.~Steder$^{31}$, B.~Stella$^{68}$, A.~Stern$^{72}$, T.P.~Stewart$^{78}$, A.~Stifutkin$^{55}$, G.~Stoicea$^{13}$, P.~Stopa$^{18}$, U.~Straumann$^{91}$, S.~Suchkov$^{55}$, D.~Sunar$^{12}$, G.~Susinno$^{17}$, L.~Suszycki$^{19}$, T.~Sykora$^{12}$, J.~Sztuk$^{30}$, D.~Szuba$^{31, a23}$, J.~Szuba$^{31, a24}$, A.D.~Tapper$^{44}$, E.~Tassi$^{17, a41}$, V.~Tchoulakov$^{24}$, J.~Terr\'on$^{50}$, T.~Theedt$^{31}$, G.~Thompson$^{43}$, P.D.~Thompson$^{7}$, H.~Tiecke$^{3}$, K.~Tokushuku$^{79, a29}$, T.~Toll$^{30}$, F.~Tomasz$^{37}$, J.~Tomaszewska$^{31, a25}$, T.H.~Tran$^{58}$, D.~Traynor$^{43}$, T.N.~Trinh$^{51}$, P.~Tru\"ol$^{91}$, I.~Tsakov$^{71}$, B.~Tseepeldorj$^{80, a9}$, T.~Tsurugai$^{87}$, M.~Turcato$^{30}$, J.~Turnau$^{18}$, T.~Tymieniecka$^{84, a46}$, K.~Urban$^{34}$, C.~Uribe-Estrada$^{50}$, A.~Valk\'arov\'a$^{66}$, C.~Vall\'ee$^{51}$, P.~Van~Mechelen$^{12}$, A.~Vargas Trevino$^{31}$, Y.~Vazdik$^{54}$, M.~V\'azquez$^{3, a21}$, A.~Verbytskyi$^{31}$, V.~Viazlo$^{36}$, S.~Vinokurova$^{31}$, N.N.~Vlasov$^{27, a26}$, V.~Volchinski$^{86}$, O.~Volynets$^{36}$, M.~von~den~Driesch$^{31}$, R.~Walczak$^{59}$, W.A.T.~Wan Abdullah$^{38}$, D.~Wegener$^{23}$, J.J.~Whitmore$^{81, a35}$, J.~Whyte$^{88}$, L.~Wiggers$^{3}$, M.~Wing$^{42}$, Ch.~Wissing$^{31}$, M.~Wlasenko$^{10}$, G.~Wolf$^{31}$, H.~Wolfe$^{49}$, K.~Wrona$^{31}$, E.~W\"unsch$^{31}$, A.G.~Yag\"ues-Molina$^{31}$, S.~Yamada$^{79}$, Y.~Yamazaki$^{79, a30}$, R.~Yoshida$^{4}$, C.~Youngman$^{31}$, J.~\v{Z}\'a\v{c}ek$^{66}$, J.~Z\'ale\v{s}\'ak$^{65}$, A.F.~\.Zarnecki$^{83}$, L.~Zawiejski$^{18}$, O.~Zeniaev$^{36}$, W.~Zeuner$^{31, a20}$, Z.~Zhang$^{58}$, B.O.~Zhautykov$^{2}$, A.~Zhokin$^{53}$, C.~Zhou$^{52}$, A.~Zichichi$^{9}$, T.~Zimmermann$^{90}$, H.~Zohrabyan$^{86}$, M.~Zolko$^{36}$, F.~Zomer$^{58}$, D.S.~Zotkin$^{56}$ {\it \vspace{0.4cm} %$$$$$$$$$$$$$$$$$$$$$$$$$ $^{1}$ I. Physikalisches Institut der RWTH, Aachen, Germany \\ $^{2}$ {\it Institute of Physics and Technology of Ministry of Education and Science of Kazakhstan, Almaty, \mbox{Kazakhstan}} \\ $^{3}$ {\it NIKHEF and University of Amsterdam, Amsterdam, Netherlands}~$^{b20}$ \\ $^{4}$ {\it Argonne National Laboratory, Argonne, Illinois 60439-4815, USA}~$^{b25}$ \\ $^{5}$ Vinca Institute of Nuclear Sciences, Belgrade, Serbia \\ $^{6}$ {\it Andrews University, Berrien Springs, Michigan 49104-0380, USA} \\ $^{7}$ School of Physics and Astronomy, University of Birmingham, Birmingham, United Kingdom~$^{b24}$ \\ $^{8}$ {\it INFN Bologna, Bologna, Italy}~$^{b17}$ \\ $^{9}$ {\it University and INFN Bologna, Bologna, Italy}~$^{b17}$ \\ $^{10}$ {\it Physikalisches Institut der Universit\"at Bonn, Bonn, Germany}~$^{b2}$ \\ $^{11}$ {\it H.H.~Wills Physics Laboratory, University of Bristol, Bristol, United Kingdom}~$^{b24}$ \\ $^{12}$ Inter-University Institute for High Energies ULB-VUB, Brussels; Universiteit Antwerpen, Antwerpen; Belgium~$^{b3}$ \\ $^{13}$ National Institute for Physics and Nuclear Engineering (NIPNE), Bucharest, Romania \\ $^{14}$ {\it Panjab University, Department of Physics, Chandigarh, India} \\ $^{15}$ {\it Department of Engineering in Management and Finance, Univ. of the Aegean, Chios, Greece} \\ $^{16}$ {\it Physics Department, Ohio State University, Columbus, Ohio 43210, USA}~$^{b25}$ \\ $^{17}$ {\it Calabria University, Physics Department and INFN, Cosenza, Italy}~$^{b17}$ \\ $^{18}$ {\it The Henryk Niewodniczanski Institute of Nuclear Physics, Polish Academy of Sciences, Cracow, Poland}~$^{b4}$$^{,}$$^{b5}$\\ $^{19}$ {\it Faculty of Physics and Applied Computer Science, AGH-University of Science and \mbox{Technology}, Cracow, Poland}~$^{b27}$ \\ $^{20}$ {\it Department of Physics, Jagellonian University, Cracow, Poland} \\ $^{21}$ {\it Kyungpook National University, Center for High Energy Physics, Daegu, South Korea}~$^{b19}$ \\ $^{22}$ Rutherford Appleton Laboratory, Chilton, Didcot, United Kingdom~$^{b24}$ \\ $^{23}$ Institut f\"ur Physik, TU Dortmund, Dortmund, Germany~$^{b1}$ \\ $^{24}$ Joint Institute for Nuclear Research, Dubna, Russia \\ $^{25}$ {\it INFN Florence, Florence, Italy}~$^{b17}$ \\ $^{26}$ {\it University and INFN Florence, Florence, Italy}~$^{b17}$ \\ $^{27}$ {\it Fakult\"at f\"ur Physik der Universit\"at Freiburg i.Br., Freiburg i.Br., Germany}~$^{b2}$ \\ $^{28}$ CEA, DSM/Irfu, CE-Saclay, Gif-sur-Yvette, France \\ $^{29}$ {\it Department of Physics and Astronomy, University of Glasgow, Glasgow, United \mbox{Kingdom}}~$^{b24}$ \\ $^{30}$ Institut f\"ur Experimentalphysik, Universit\"at Hamburg, Hamburg, Germany~$^{b1}$$^{,}$$^{b2}$\\ $^{31}$ {\it Deutsches Elektronen-Synchrotron DESY, Hamburg, Germany} \\ $^{32}$ Max-Planck-Institut f\"ur Kernphysik, Heidelberg, Germany \\ $^{33}$ Physikalisches Institut, Universit\"at Heidelberg, Heidelberg, Germany~$^{b1}$ \\ $^{34}$ Kirchhoff-Institut f\"ur Physik, Universit\"at Heidelberg, Heidelberg, Germany~$^{b1}$ \\ $^{35}$ {\it Nevis Laboratories, Columbia University, Irvington on Hudson, New York 10027, USA}~$^{b26}$ \\ $^{36}$ {\it Institute for Nuclear Research, National Academy of Sciences, and Kiev National University, Kiev, Ukraine} \\ $^{37}$ Institute of Experimental Physics, Slovak Academy of Sciences, Ko\v{s}ice, Slovak Republic~$^{b7}$ \\ $^{38}$ {\it Jabatan Fizik, Universiti Malaya, 50603 Kuala Lumpur, Malaysia}~$^{b29}$ \\ $^{39}$ {\it Chonnam National University, Kwangju, South Korea} \\ $^{40}$ Department of Physics, University of Lancaster, Lancaster, United Kingdom~$^{b24}$ \\ $^{41}$ Department of Physics, University of Liverpool, Liverpool, United Kingdom~$^{b24}$ \\ $^{42}$ {\it Physics and Astronomy Department, University College London, London, United \mbox{Kingdom}}~$^{b24}$ \\ $^{43}$ Queen Mary and Westfield College, London, United Kingdom~$^{b24}$ \\ $^{44}$ {\it Imperial College London, High Energy Nuclear Physics Group, London, United \mbox{Kingdom}}~$^{b24}$ \\ $^{45}$ {\it Institut de Physique Nucl\'{e}aire, Universit\'e Catholique de Louvain, Louvain-la-Neuve, \mbox{Belgium}}~$^{b28}$ \\ $^{46}$ Physics Department, University of Lund, Lund, Sweden~$^{b8}$ \\ $^{47}$ Departamento de Fisica Aplicada, CINVESTAV, M\'erida Yucat\'an, Mexico~$^{b11}$ \\ $^{48}$ Departamento de Fisica, CINVESTAV, M\'exico City, Mexico~$^{b11}$ \\ $^{49}$ {\it Department of Physics, University of Wisconsin, Madison, Wisconsin 53706}, USA~$^{b25}$ \\ $^{50}$ {\it Departamento de F\'{\i}sica Te\'orica, Universidad Aut\'onoma de Madrid, Madrid, Spain}~$^{b23}$ \\ $^{51}$ CPPM, IN2P3-CNRS - Univ. Mediterranee, Marseille, France \\ $^{52}$ {\it Department of Physics, McGill University, Montr\'eal, Qu\'ebec, Canada H3A 2T8}~$^{b14}$ \\ $^{53}$ Institute for Theoretical and Experimental Physics, Moscow, Russia~$^{b12}$ \\ $^{54}$ Lebedev Physical Institute, Moscow, Russia~$^{b6}$ \\ $^{55}$ {\it Moscow Engineering Physics Institute, Moscow, Russia}~$^{b21}$ \\ $^{56}$ {\it Moscow State University, Institute of Nuclear Physics, Moscow, Russia}~$^{b22}$ \\ $^{57}$ {\it Max-Planck-Institut f\"ur Physik, M\"unchen, Germany} \\ $^{58}$ LAL, Univ Paris-Sud, IN2P3-CNRS, Orsay, France \\ $^{59}$ {\it Department of Physics, University of Oxford, Oxford, United Kingdom}~$^{b24}$ \\ $^{60}$ {\it INFN Padova, Padova, Italy}~$^{b17}$ \\ $^{61}$ {\it Dipartimento di Fisica dell'Universit\`a and INFN, Padova, Italy}~$^{b17}$ \\ $^{62}$ LLR, Ecole Polytechnique, IN2P3-CNRS, Palaiseau, France \\ $^{63}$ LPNHE, Universit\'es Paris VI and VII, IN2P3-CNRS, Paris, France \\ $^{64}$ Faculty of Science, University of Montenegro, Podgorica, Montenegro~$^{b6}$ \\ $^{65}$ Institute of Physics, Academy of Sciences of the Czech Republic, Praha, Czech Republic~$^{b9}$ \\ $^{66}$ Faculty of Mathematics and Physics, Charles University, Praha, Czech Republic~$^{b9}$ \\ $^{67}$ {\it Department of Particle Physics, Weizmann Institute, Rehovot, Israel}~$^{b15}$ \\ $^{68}$ Dipartimento di Fisica Universit\`a di Roma Tre and INFN Roma~3, Roma, Italy \\ $^{69}$ {\it Dipartimento di Fisica, Universit\`a 'La Sapienza' and INFN, Rome, Italy}~$^{b17}~$ \\ $^{70}$ {\it Polytechnic University, Sagamihara, Japan}~$^{b18}$ \\ $^{71}$ Institute for Nuclear Research and Nuclear Energy, Sofia, Bulgaria~$^{b6}$ \\ $^{72}$ {\it Raymond and Beverly Sackler Faculty of Exact Sciences, School of Physics, Tel Aviv University, Tel Aviv, Israel}~$^{b16}$ \\ $^{73}$ {\it Department of Physics, Tokyo Institute of Technology, Tokyo, Japan}~$^{b18}$ \\ $^{74}$ {\it Department of Physics, University of Tokyo, Tokyo, Japan}~$^{b18}$ \\ $^{75}$ {\it Tokyo Metropolitan University, Department of Physics, Tokyo, Japan}~$^{b18}$ \\ $^{76}$ {\it Universit\`a di Torino and INFN, Torino, Italy}~$^{b17}$ \\ $^{77}$ {\it Universit\`a del Piemonte Orientale, Novara, and INFN, Torino, Italy}~$^{b17}$ \\ $^{78}$ {\it Department of Physics, University of Toronto, Toronto, Ontario, Canada M5S 1A7}~$^{b14}$ \\ $^{79}$ {\it Institute of Particle and Nuclear Studies, KEK, Tsukuba, Japan}~$^{b18}$ \\ $^{80}$ Institute of Physics and Technology of the Mongolian Academy of Sciences, Ulaanbaatar, Mongolia \\ $^{81}$ {\it Department of Physics, Pennsylvania State University, University Park, Pennsylvania 16802, USA}~$^{b26}$ \\ $^{82}$ Paul Scherrer Institut, Villigen, Switzerland \\ $^{83}$ {\it Warsaw University, Institute of Experimental Physics, Warsaw, Poland} \\ $^{84}$ {\it Institute for Nuclear Studies, Warsaw, Poland} \\ $^{85}$ Fachbereich C, Universit\"at Wuppertal, Wuppertal, Germany \\ $^{86}$ Yerevan Physics Institute, Yerevan, Armenia \\ $^{87}$ {\it Meiji Gakuin University, Faculty of General Education, Yokohama, Japan}~$^{b18}$ \\ $^{88}$ {\it Department of Physics, York University, Ontario, Canada M3J1P3}~$^{b14}$ \\ $^{89}$ {\it Deutsches Elektronen-Synchrotron DESY, Zeuthen, Germany} \\ $^{90}$ Institut f\"ur Teilchenphysik, ETH, Z\"urich, Switzerland~$^{b10}$ \\ $^{91}$ Physik-Institut der Universit\"at Z\"urich, Z\"urich, Switzerland~$^{b10}$ \\ %$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$ \vspace{0.4cm} { \small %############################# %h1 $^{a1}$ Also at Physics Department, National Technical University, Zografou Campus, GR-15773 Athens, Greece \\ $^{a2}$ Also at Rechenzentrum, Universit\"at Wuppertal, Wuppertal, Germany \\ $^{a3}$ Also at University of P.J. \v{S}af\'arik, Ko\v{s}ice, Slovak Republic \\ $^{a4}$ Also at CERN, Geneva, Switzerland \\ $^{a5}$ Also at Max-Planck-Institut f\"ur Physik, M\"unchen, Germany \\ $^{a6}$ Also at Comenius University, Bratislava, Slovak Republic \\ $^{a7}$ Also at DESY and University Hamburg, Helmholtz Humboldt Research Award \\ $^{a8}$ Also at Faculty of Physics, University of Bucharest, Bucharest, Romania \\ $^{a9}$ Also at Ulaanbaatar University, Ulaanbaatar, Mongolia \\ %zeus $^{a10}$ Also affiliated with University College London, United Kingdom\\ $^{a11}$ Now at University of Salerno, Italy \\ $^{a12}$ Now at Queen Mary University of London, United Kingdom \\ $^{a13}$ Also working at Max Planck Institute, Munich, Germany \\ $^{a14}$ Now at Institute of Aviation, Warsaw, Poland \\ $^{a15}$ Supported by the research grant No. 1 P03B 04529 (2005-2008) \\ $^{a16}$ This work was supported in part by the Marie Curie Actions Transfer of Knowledge project COCOS (contract MTKD-CT-2004-517186)\\ $^{a17}$ Now at DESY group FEB, Hamburg, Germany \\ $^{a18}$ Also at Moscow State University, Russia \\ $^{a19}$ Now at University of Liverpool, United Kingdom \\ $^{a20}$ On leave of absence at CERN, Geneva, Switzerland \\ $^{a21}$ Now at CERN, Geneva, Switzerland \\ $^{a22}$ Also at Institut of Theoretical and Experimental Physics, Moscow, Russia\\ $^{a23}$ Also at INP, Cracow, Poland \\ $^{a24}$ Also at FPACS, AGH-UST, Cracow, Poland \\ $^{a25}$ Partially supported by Warsaw University, Poland \\ $^{a26}$ Partially supported by Moscow State University, Russia \\ $^{a27}$ Also affiliated with DESY, Germany \\ $^{a28}$ Now at Japan Synchrotron Radiation Research Institute (JASRI), Hyogo, Japan \\ $^{a29}$ Also at University of Tokyo, Japan \\ $^{a30}$ Now at Kobe University, Japan \\ $^{a31}$ Supported by DESY, Germany \\ $^{a32}$ Partially supported by Russian Foundation for Basic Research grant No. 05-02-39028-NSFC-a\\ $^{a33}$ STFC Advanced Fellow \\ $^{a34}$ Nee Korcsak-Gorzo \\ $^{a35}$ This material was based on work supported by the National Science Foundation, while working at the Foundation.\\ $^{a36}$ Also at Max Planck Institute, Munich, Germany, Alexander von Humboldt Research Award\\ $^{a37}$ Now at Nihon Institute of Medical Science, Japan\\ $^{a38}$ Now at SunMelx Co. Ltd., Tokyo, Japan \\ $^{a39}$ Now at Osaka University, Osaka, Japan \\ $^{a40}$ Now at University of Bonn, Germany \\ $^{a41}$ also Senior Alexander von Humboldt Research Fellow at Hamburg University \\ $^{a42}$ Also at \L\'{o}d\'{z} University, Poland \\ $^{a43}$ Member of \L\'{o}d\'{z} University, Poland \\ $^{a44}$ Now at Lund University, Lund, Sweden \\ $^{a45}$ Supported by Chonnam National University, South Korea, in 2009 \\ $^{a46}$ Also at University of Podlasie, Siedlce, Poland \\ %########################### \vspace{0.3cm} %@@@@@@@@@@@@@@@@@@@@ $^{b1}$ Supported by the German Federal Ministry for Education and Research (BMBF), under contract numbers 05H09GUF, 05H09VHC, 05H09VHF and 05H16PEA \\ $^{b2}$ Supported by the German Federal Ministry for Education and Research (BMBF), under contract numbers 05 HZ6PDA, 05 HZ6GUA, 05 HZ6VFA and 05 HZ4KHA\\ $^{b3}$ Supported by FNRS-FWO-Vlaanderen, IISN-IIKW and IWT and by Interuniversity Attraction Poles Programme, Belgian Science Policy \\ $^{b4}$ Supported by the Polish State Committee for Scientific Research, project No. DESY/256/2006 - 154/DES/2006/03\\ $^{b5}$ Partially Supported by Polish Ministry of Science and Higher Education, grant PBS/DESY/70/2006 \\ $^{b6}$ Supported by the Deutsche Forschungsgemeinschaft \\ $^{b7}$ Supported by VEGA SR grant no. 2/7062/ 27 \\ $^{b8}$ Supported by the Swedish Natural Science Research Council \\ $^{b9}$ Supported by the Ministry of Education of the Czech Republic under the projects LC527, INGO-1P05LA259 and MSM0021620859 \\ $^{b10}$ Supported by the Swiss National Science Foundation \\ $^{b11}$ Supported by CONACYT, M\'exico, grant 48778-F \\ $^{b12}$ Russian Foundation for Basic Research (RFBR), grant no 1329.2008.2 \\ $^{b13}$ This project is co-funded by the European Social Fund (75\% and National Resources (25\%) - (EPEAEK II) - PYTHAGORAS II\\ $^{b14}$ Supported by the Natural Sciences and Engineering Research Council of Canada (NSERC) \\ $^{b15}$ Supported in part by the MINERVA Gesellschaft f\"ur Forschung GmbH, the Israel Science Foundation (grant No. 293/02-11.2) and the US-Israel Binational Science Foundation \\ $^{b16}$ Supported by the Israel Science Foundation\\ $^{b17}$ Supported by the Italian National Institute for Nuclear Physics (INFN) \\ $^{b18}$ Supported by the Japanese Ministry of Education, Culture, Sports, Science and Technology (MEXT) and its grants for Scientific Research\\ $^{b19}$ Supported by the Korean Ministry of Education and Korea Science and Engineering Foundation\\ $^{b20}$ Supported by the Netherlands Foundation for Research on Matter (FOM)\\ $^{b21}$ Partially supported by the German Federal Ministry for Education and Research (BMBF)\\ $^{b22}$ Supported by RF Presidential grant N 1456.2008.2 for the leading scientific schools and by the Russian Ministry of Education and Science through its grant for Scientific Research on High Energy Physics\\ $^{b23}$ Supported by the Spanish Ministry of Education and Science through funds provided by CICYT\\ $^{b24}$ Supported by the UK Science and Technology Facilities Council \\ $^{b25}$ Supported by the US Department of Energy\\ $^{b26}$ Supported by the US National Science Foundation. Any opinion, findings and conclusions or recommendations expressed in this material are those of the authors and do not necessarily reflect the views of the National Science Foundation.\\ $^{b27}$ Supported by the Polish Ministry of Science and Higher Education as a scientific project (2009-2010)\\ $^{b28}$ Supported by FNRS and its associated funds (IISN and FRIA) and by an Inter-University Attraction Poles Programme subsidised by the Belgian Federal Science Policy Office\\ $^{b29}$ Supported by an FRGS grant from the Malaysian government\\ %@{@@@@@@@@@@@@@@@@@@@@@@@@@ \vspace{0.4cm} $^{\dagger}$ deceased \\ } } \end{flushleft} %\newpage %\tableofcontents %\newpage \section{Introduction \label{sec:int}} % \input{introduction} Deep inelastic scattering (DIS) at HERA has been central to the exploration of proton structure and quark-gluon interaction dynamics as prescribed in perturbative Quantum Chromodynamics (QCD). HERA allowed inelastic $ep$ interactions to be studied at high centre-of-mass energy, $\sqrt{s} \simeq 320\,$GeV, where $s = 4 E_e E_p$, the lepton beam energy $E_e \simeq 27.5$\,GeV and the proton beam energy $E_p = 920$\,GeV for most of the running period. Operation of HERA proceeded in two phases, HERA I, from 1992-2000, and HERA II, from 2002-2007. The luminosity collected by each of the collider experiments, H1 and ZEUS, in unpolarised $e^+ p$ and $e^- p$ scattering during the first phase was approximately $100$\pb and $15$\pb, respectively. The paper presents the combination of the published H1~\cite{Collaboration:2009bp,Collaboration:2009kv,Adloff:1999ah,Adloff:2000qj,Adloff:2003uh} and ZEUS~\cite{Breitweg:1997hz,Breitweg:2000yn,Breitweg:1998dz,Chekanov:2001qu, zeuscc97,Chekanov:2002ej,Chekanov:2002zs,Chekanov:2003yv,Chekanov:2003vw} measurements from HERA I on inclusive DIS in neutral (NC) and charged current (CC) reactions which cover a wide range of negative four-momentum-transfer squared, $Q^2$, and Bjorken $x$. The combination is performed using a method introduced in \cite{glazov} and extended in \cite{Collaboration:2009bp}. This also provides a model-independent check of the data consistency. The correlated systematic uncertainties and global normalisations are fitted such that one coherent data set is obtained. Since H1 and ZEUS have employed different experimental techniques, using different detectors and methods of kinematic reconstruction, the combination leads to a significantly reduced uncertainty. The combined data set contains complete information on inclusive DIS cross sections published by the H1 and ZEUS collaborations based on data collected in the years $1994$-$2000$. The kinematic range of the NC data is $6 \cdot 10^{-7} \leq x \leq 0.65$ and $0.045 \leq Q^2 \leq 30000 $\,GeV$^2$, for values of inelasticity $y$ between $0.005$ and $0.95$, where $y = Q^2/sx$. The kinematic range of the CC data is $1.3 \cdot 10^{-2} \leq x \leq 0.40$ and $300 \leq Q^2 \leq 30000 $\,GeV$^2$, for values of $y$ between $0.037$ and $0.76$. An extensive overview of the results on HERA I data from both H1 and ZEUS is given in \cite{klein-2008}. Analyses of the $x$ and $Q^2$ dependences of the NC and CC DIS cross sections measured at HERA have determined sets of quark and gluon momentum distributions in the proton, both from H1 \cite{Collaboration:2009kv} and ZEUS \cite{Chekanov:2005nn}. In such analyses, the lower $Q^2$ NC $e^+p$ data determine the low-$x$ sea quark and gluon distributions. The high-$Q^2$ CC data, together with the difference between NC $e^+p$ and $e^-p$ cross sections at high $Q^2$, constrain the valence quark distributions. The use of the HERA CC data allows the down quark distribution in the proton to be determined without assuming isospin symmetry. In addition, the use of HERA data alone for the determination of parton distribution functions (PDFs) eliminates the need for heavy target corrections, which must be applied to DIS data from nuclear targets. In this paper the combined HERA data are used to determine a new set of parton distributions termed HERAPDF1.0. Consistency of the input data ensures that the experimental uncertainty of the HERAPDF1.0 set can be determined using rigorous statistical methods. Uncertainties resulting from model assumptions and from the choice of PDF parametrisation are also considered, similarly to~\cite{Collaboration:2009kv}. The paper is organised as follows. In \Sec\,\ref{sec:meas} the measurements by H1 and ZEUS and the input data are described. In \Sec\,\ref{sec:comb} the combination of the NC and CC data sets from H1 and ZEUS is discussed. The QCD analysis is described in \Sec\,\ref{sec:fit}. A summary is given in \Sec\,\ref{sec:sum}. % \section{Measurements of Inclusive DIS Cross Sections \label{sec:meas}} % \input{measure} \subsection{Cross Sections and Parton Distributions} \label{xsecns} % The neutral current deep inelastic $e^{\pm}p$ scattering cross section, at tree level, is given by a linear combination of generalised structure functions. For unpolarised beams it can be expressed as % \begin{eqnarray} \label{ncsi} \ncred =\ncdd \cdot \frac{Q^4 x}{2\pi \alpha^2 Y_+} = \tilde{F_2} \mp \frac{Y_-}{Y_+} \tilde{xF_3} -\frac{y^2}{Y_+} \tilde{F_L}~, \end{eqnarray} % where the electromagnetic coupling constant $\alpha$, the photon propagator and a helicity factor are absorbed in the definition of the reduced cross section \ncred, and $Y_{\pm}=1 \pm (1-y)^2$. The functions $\boldftwo$, $\boldfl$ and $\boldxft$ depend on the electroweak parameters as~\cite{kleinriemann} % \begin{eqnarray} \label{strf} \boldftwo &=& F_2 - \kappa_Z v_e \cdot F_2^{\gamma Z} + \kappa_Z^2 (v_e^2 + a_e^2 ) \cdot F_2^Z~, \nonumber \\ \boldfl &=& F_L - \kappa_Z v_e \cdot F_L^{\gamma Z} + \kappa_Z^2 (v_e^2 + a_e^2 ) \cdot F_L^Z~, \nonumber \\ \boldxft &=& \kappa_Z a_e \cdot xF_3^{\gamma Z} - \kappa_Z^2 \cdot 2 v_e a_e \cdot xF_3^Z~. \end{eqnarray} % Here $v_e$ and $a_e$ are the vector and axial-vector weak couplings of the electron to the $Z$ boson and $\kappa_Z(Q^2) = Q^2 /[(Q^2+M_Z^2)(4\sin^2 \theta_W \cos^2 \theta_W)]$. The effective values for the electroweak mixing angle, $\sin^2 \theta_W=0.2315$, and the $Z$ boson mass, $M_Z=91.187$~GeV, are used~\cite{PDG}. At low $Q^2$, the contribution of $Z$ exchange is negligible and $\sigma_{r,{\rm NC}} = F_2 - y^2 F_L/Y_+$. The contribution of the term containing the structure function $F_L$ is only significant for large values of $y$. %$F_L$ can be expressed through the known function $R$ such that $F_L = R/(1+R) F_2$. In the Quark Parton Model (QPM), $\boldfl=0$\,\cite{PhysRevLett.22.156} and the other functions in \Eq\,\ref{strf} are given as % \begin{eqnarray} \label{ncfu} (F_2, F_2^{\gamma Z}, F_2^Z) &=& [(e_u^2, 2e_uv_u, v_u^2+a_u^2)(xU+ x\bar{U}) + (e_d^2, 2e_dv_d, v_d^2+a_d^2)(xD+ x\bar{D})]~, \nonumber \\ (xF_3^{\gamma Z}, xF_3^Z) &=& 2 [(e_ua_u, v_ua_u) (xU-x\bar{U}) + (e_da_d, v_da_d) (xD-x\bar{D})]~, \end{eqnarray} % where $e_u,e_d$ denote the electric charge of up- or down-type quarks while $v_{u,d}$ and $a_{u,d}$ are the vector and axial-vector weak couplings of the up- or down-type quarks to the $Z$ boson. Here $xU$, $xD$, $x\bU$ and $x\bD$ denote the sums of up-type, of down-type and of their anti-quark distributions, respectively. Below the $b$ quark mass threshold, these sums are related to the quark distributions as follows % \begin{equation} \label{ud} xU = xu + xc\,, ~~~~~~~~ x\bU = x\bu + x\bc\,, ~~~~~~~~ xD = xd + xs\,, ~~~~~~~~ x\bD = x\bd + x\bs\,, \end{equation} % where $xs$ and $xc$ are the strange and charm quark distributions. Assuming symmetry between sea quarks and anti-quarks, the valence quark distributions result from \begin{equation} \label{valq} xu_v = xU -x\bU\,, ~~~~~~~~~~~~~ xd_v = xD -x\bD\,. \end{equation} Defining a reduced cross section for the inclusive unpolarised charged current $e^{\pm} p$ scattering as % \begin{equation} \label{Rnc} \ccred = \frac{2 \pi x}{G_F^2} \left[ \frac {M_W^2+Q^2} {M_W^2} \right]^2 \ccdd \end{equation} % gives a sum of charged current structure functions, analogous to \Eq~\ref{ncsi}, as % \begin{eqnarray} \label{ccsi} \sigma_{r,CC}^{\pm}= \frac{Y_+}{2}W_2^\pm \mp \frac{Y_-}{2} xW_3^\pm - \frac{y^2}{2} W_L^\pm \,. \end{eqnarray} % For the Fermi constant, an effective value $G_F=1.16639\times 10^{-5} $~GeV$^{-2}$ is used, the $W$ boson mass is $M_W=80.41$~GeV \cite{PDG}. In the QPM $W_L^\pm = 0$ and the CC structure functions represent sums and differences of quark and anti-quark-type distributions depending on the charge of the lepton beam as % \begin{eqnarray} \label{ccstf} W_2^{+} = x\bU+xD\,,\hspace{0.05cm} ~~~~~~~ xW_3^{+} = xD-x\bU\,,\hspace{0.05cm} ~~~~~~~ W_2^{-} = xU+x\bD\,,\hspace{0.05cm} ~~~~~~~ xW_3^{-} = xU-x\bD\,. \end{eqnarray} % From these equations it follows that % \begin{equation} \label{ccupdo} \ccredp = x\bU+ (1-y)^2xD\,, ~~~~~~~ \ccredm = xU +(1-y)^2 x\bD\,. \end{equation} % Therefore the NC and CC measurements may be used to determine the combined sea quark distribution functions, $x\bU$ and $x\bD$, and the valence quark distributions, $xu_v$ and $xd_v$. % This is done %in the QCD analysis described in \Sec~\ref{pdffit} at A QCD analysis in the DGLAP formalism~\cite{Gribov:1972ri,Gribov:1972rt,Lipatov:1974qm,Dokshitzer:1977sg,Altarelli:1977zs} also allows the gluon momentum distribution, $xg$, in the proton to be determined from scaling violations. % \subsection{Reconstruction of Kinematics} \label{diskine} % The deep inelastic $ep$ scattering cross section of the inclusive neutral and charged current reactions depends on the centre-of-mass energy $s$ and on two kinematic variables, $Q^2$ and $x$. Usually $x$ is obtained from the measurement of the inelasticity $y$ and from $Q^2$ and $s$ through the relationship $x=Q^2/(sy)$. The salient feature of the HERA collider experiments is the possibility to determine the NC event kinematics from the scattered electron\footnote{In this paper, the term electron is used for both electrons and positrons, unless otherwise stated.} $e$, or from the hadronic final state $h$, or using a combination of the two. The choice of the most appropriate kinematic reconstruction method for a given phase space region is based on resolution, measurement accuracy and radiative correction effects and has been optimised differently for the two experiments. The use of different reconstruction techniques by the two experiments contributes to the improved accuracy of the combined data set. For NC scattering, in the ``electron method'', the inelasticity and the negative four-momentum-transfer squared can be calculated using the electron kinematics as \begin{equation} y_e = 1-\frac{\Sigma_e}{2 E_e}\,,~~~~~~~~~~~~ Q^2_e = \frac{P_{T,e}^2} {1 - y_e}\,,~~~~~~~~~~~~x_e = \frac{Q^2_e}{s y_e}\,. \label{eq:emeth} \end{equation} % Here $\Sigma_e = E'_e(1-\cos\theta_e)$, where $\theta_e$ is the angle between the scattered electron direction and the proton beam direction\footnote{% In the right-handed H1 and ZEUS coordinate systems, the $z$ axis points along the proton beam direction, termed the forward direction. The $x$ ($y$) axis is directed horizontally (vertically). }, $E_e'$ is the scattered electron energy, and $P_{T,e}$ is its transverse momentum. Similar relations are obtained from the hadronic final state reconstruction~\cite{yjb}, and are used for CC scattering, % \begin{equation} y_h = \frac{\Sigma_h}{2 E_e}\,,~~~~~~~~~~~~ Q^2_h = \frac{P_{T,h}^2} {1 - y_h}\,,~~~~~~~~~~~~x_h = \frac{Q^2_h}{s y_h}\,; \label{yjb} \end{equation} % where $\Sigma_h = \sum_i{(E_i-p_{z,i})}$ is the hadronic $E-P_z$ variable with the sum extending over the reconstructed hadronic final state particles $i$, and $P_{T,h} = \left| \sum_i \mathbold{p}_{\perp,i} \right|$ is the total transverse momentum of the hadronic final state with $\mathbold{p}_{\perp,i}$ being the transverse momentum vector of the particle $i$. The combination of $P_{T,h}$ and $\Sigma_h$ defines the hadronic scattering angle \begin{equation}\label{eq:thh} \tan \frac{\theta_h}{2} = \frac{\Sigma_h}{P_{T,h}} \end{equation} which, within the QPM, corresponds to the direction of the struck quark. In the ``sigma method''~\cite{ysigma} the total $E-P_z$ variable % \begin{equation} \label{eq:sigma} E-P_z = E'_e (1-\cos{\theta_e}) + \sum_i \left(E_i - p_{z,i}\right) = \Sigma_e + \Sigma_h, \end{equation} % is introduced. For non-radiative events this variable equals $2E_e$ such that \Eqs~\ref{eq:emeth} and \ref{yjb} can be modified as % \begin{equation}\label{eq:yh} y_{\Sigma} = \frac{\Sigma_h} {E-P_z}\,, ~~~~~~~~~~~~~ Q^2_{\Sigma}=\frac{P^2_{T,e}}{1-y_{\Sigma}}\,,~~~~~~~~~~~~ x_{\Sigma} = \frac{Q^2_{\Sigma}}{s y_{\Sigma}}\,. \end{equation} % A hybrid ``e-sigma method'' \,\cite{ysigma,Adloff:1999ah,Breitweg:2000yn} uses $Q^2_e$ and $x_\Sigma$ to reconstruct the event kinematics \begin{equation} \label{eq:esigma} y_{e\Sigma} = \frac{Q^2_e}{s x_{\Sigma}} = \frac{2E_e}{E-P_z}\,y_{\Sigma}\,,~~~~~~~~~~~~~ Q^2_{e\Sigma} = Q^2_e\,,~~~~~~~~~~~~ x_{e\Sigma} = x_{\Sigma}\,. \end{equation} An extension of the sigma method~\cite{Collaboration:2009bp,Collaboration:2009kv} is \begin{equation} \label{eq:sigma2} y_{\Sigma'} = y_{\Sigma}, ~~~~~~~~~~~~~ Q^2_{\Sigma'}=Q^2_{\Sigma}\,,~~~~~~~~~~~~ x_{\Sigma'} = \frac{Q^2_{\Sigma}} {2 E_p (E-P_z) y_{\Sigma}} = \frac{Q_{\Sigma}^2} {2 E_p \Sigma_h}. \end{equation} This modification takes radiative effects at the lepton vertex into account by replacing the electron beam energy in the calculation of $x$, in a similar manner to $y_{\Sigma}$. The ``double angle method'' \cite{standa,hoegerda} is used to reconstruct $Q^2$ and $x$ from the electron and hadronic scattering angles as % \begin{equation}\label{qxda} y_{DA} = \frac{\tan{(\theta_h/2)}}{\tan{(\theta_e/2)} + \tan{(\theta_h/2)}}\,, ~~~~~~Q^2_{DA}= 4 E_e^2 \cdot \frac{\cot{(\theta_e/2)}}{\tan{(\theta_e/2)} + \tan{(\theta_h/2)}}\,,~~~~~~~ x_{DA} = \frac{Q^2_{DA}}{s y_{DA}}\,. \end{equation} % The method is largely insensitive to hadronization and, to first order, is independent of the detector energy scales. However, the hadronic angle is less well-determined than the electron angle due to particle loss in the beampipe. In the ``PT method'' of reconstruction \cite{Derrick:1996hn} the well-measured electron kinematics is used to obtain a good event-by-event estimate of the hadronic energy loss, by employing $\delta_{PT}=P_{T,h}/P_{T,e}$. This improves both the resolution and uncertainties of the reconstructed $y$ and $Q^2$. The PT method uses all measured variables to optimise the resolution over the entire kinematic range measured, namely, \begin{equation} \label{eq:ptmeth} \tan{\frac{\theta_{PT}}{2}} = \frac{\Sigma_{PT}}{P_{T,e}},{\rm~~~where}~~~~~~ \Sigma_{PT} = 2E_e\frac{{C(\theta_h,P_{T,h},\delta_{PT})}\cdot\Sigma_h} {\Sigma_e+{C(\theta_h,P_{T,h},\delta_{PT})}\cdot\Sigma_h}. \end{equation} The variable $\theta_{PT}$ is then substituted for $\theta_h$ in the formulae for the double angle method to determine $x$, $y$ and $Q^2$. The detector-specific function $C$ is calculated using Monte Carlo simulations as $\Sigma_{true,h}/\Sigma_{h}$, depending on $\theta_h$, $P_{T,h}$ and $\delta_{PT}$. % The methods of kinematic reconstruction used by H1 and ZEUS are given in \Tab~\ref{tab:data} as part of the specification of the input data sets. \subsection{Detectors} \label{dets} % The H1 \cite{h1det,h1det2,spacalc} and ZEUS \cite{ZEUSDETECTOR} detectors had nearly $4\pi$ hermetic coverage. They were built following similar physics considerations but opted for different technical solutions, both for the calorimetric and the tracking measurements. The main component of the H1 detector was the finely segmented Liquid Argon calorimeter (LAr). It had an inner electromagnetic part and an outer hadronic part. The resolutions, $\sigma_E$, as measured with test beams, are about $0.11\sqrt{E/{\rm GeV}}$ and $0.50\sqrt{E/{\rm GeV}}$ for electromagnetic and hadronic particles, respectively. The LAr was surrounded by a superconducting coil providing a solenoidal magnetic field of $1.16$\,T and an instrumented iron structure acting as a shower tail catcher and a muon detector. In $1996$ a major upgrade was performed during which the backward detectors were replaced by a Backward Drift Chamber (BDC) attached to a new lead fibre calorimeter (SpaCal) with a high resolution ($0.07\sqrt{E/\rm{GeV}}$) electromagnetic section, which comprised $27.5$ radiation lengths, followed by a hadronic section. The SpaCal calorimeter had a total depth of two hadronic interaction lengths. In the upgraded configuration, the innermost central tracking detector of H1 contained two silicon detectors, the central and backward trackers, CST and BST. These were surrounded, sequentially, by the Central Inner Proportional chamber, CIP, and the Central Jet Chamber, CJC, which was the main tracking device of H1, with wires strung parallel to the beam axis. The CJC had two concentric parts. The CJC was complemented by drift chambers to measure the $z$ coordinate, and a further proportional chamber between the CJC chambers was used for triggering. Tracks in the forward direction were measured in the Forward Tracking Detector, FTD, a set of drift chamber modules of different orientation. The main component of the ZEUS detector was the uranium-scintillator calorimeter (CAL) consisting of three parts: forward (FCAL), barrel (BCAL) and rear (RCAL). Each part was segmented into one electromagnetic section (EMC) and either one (in RCAL) or two (in BCAL and FCAL) hadronic sections (HAC). Under test-beam conditions, the energy resolutions were $0.18\sqrt{E/{\rm GeV}}$ and $0.35\sqrt{E/\rm{GeV}}$ for the EMC and HAC sections, respectively. The timing resolution of the CAL was $\sim$\,$1$\,ns for energy deposits greater than $4.5\,$GeV. Scintillator-tile presampler detectors were mounted in front of the CAL. The RCAL was instrumented at a depth of $3.3$ radiation lengths with a silicon-pad hadron-electron separator (HES). Charged particles were tracked in the central tracking detector (CTD) which operated in a magnetic field of $1.4\,$T provided by a thin superconducting solenoid, positioned inside the BCAL and presampler. The CTD was organised in nine superlayers with five axial layers and four stereo layers. Planar drift chambers provided additional tracking in the forward and rear directions. The small angle rear tracking detector (SRTD), consisting of two orthogonal planes of scintillator strips, was used to measure electrons at large $\theta_e$. The angular coverage in the electron beam direction was extended with the addition of a small Tungsten-scintillator calorimeter (BPC), located behind the RCAL at $z=-294$\,cm close to the beam axis, and a silicon microstrip tracking device (BPT) installed in front of the BPC. Both H1 and ZEUS were also equipped with photon taggers, positioned at $\simeq$\,$100$\,m down the $e$ beam line, for a determination of the luminosity from Bethe-Heitler scattering, $ep \rightarrow ep \gamma$. The measurement accuracy of the luminosity was about $1 - 2$\% for each of the experiments. % \subsection{Data Samples} A summary of the data used in this analysis is given in Table\,\ref{tab:data}. In the first years until 1997, the proton beam energy $E_p$ was set to $820$\,GeV. In 1998 it was increased to $920$\,GeV. The NC data cover a wide range in $x$ and $Q^2$. The lowest $Q^2 \ge 0.045$~GeV$^2$ data come from the measurements of ZEUS using the BPC and BPT~\cite{Breitweg:1997hz,Breitweg:2000yn}. The $Q^2$ range from $0.2$~GeV$^2$ to $1.5$~GeV$^2$ is covered using special HERA runs, in which the interaction vertex position was shifted forward allowing for larger angles of the backward scattered electron to be accepted~\cite{Adloff:1997mf,Breitweg:1998dz,Collaboration:2009bp}. The lowest $Q^2$ for the shifted vertex data was reached using events, in which the effective electron beam energy was reduced by initial state radiation~\cite{Collaboration:2009bp}. Values of $Q^2\ge 1.5$~GeV$^2$ were measured using the nominal vertex settings. For $Q^2 \le 10$~GeV$^2$, the cross section is very high and the data were collected using dedicated trigger setups~\cite{h1alphas,Chekanov:2001qu,Collaboration:2009bp}. The highest accuracy of the cross-section measurement is achieved for $10 \le Q^2 \le 100$~GeV$^2$ \cite{h1alphas,Chekanov:2001qu,Collaboration:2009kv}. For $Q^2\ge 100$~GeV$^2$, the statistical uncertainty of the data becomes relatively large. The high $Q^2$ data included here were collected with positron~\cite{Adloff:1999ah,Chekanov:2001qu,Adloff:2003uh,Chekanov:2003yv} and with electron~\cite{Adloff:2000qj,Chekanov:2002ej} beams. The CC data for $e^+p$ and $e^-p$ scattering cover the range $300\le Q^2\le 30000$~GeV$^2$~\cite{Adloff:1999ah,zeuscc97,Chekanov:2002zs,Adloff:2003uh,Chekanov:2003vw}. \begin{table} \begin{center} \begin{scriptsize} \begin{tabular}{|lr|lr|lr|c|c|c|c|c|} \hline \multicolumn{2}{|c|}{Data Set} & \multicolumn{2}{|c|}{$x$ Range} & \multicolumn{2}{|c|}{$Q^2$ Range} & ${\cal L}$ & $e^+/e^-$ & $\sqrt{s}$ & $x$,$Q^2$ Reconstruction & Reference \\ \multicolumn{2}{|c|}{ } & \multicolumn{2}{|c|}{ } & \multicolumn{2}{|c|}{GeV$^2$} & pb$^{-1}$ & & GeV & Method \EEq & \\ \hline H1~svx-mb & $95$-$00$ & $5\times 10^{-6}$ & $0.02$ & $0.2$ & $12$ & $2.1$ &$e^+p$ & $301$-$319$ & \ref{eq:emeth},\ref{eq:yh},\ref{eq:sigma2} &\cite{Collaboration:2009bp} \\ H1~low~$Q^2$ & $96$-$00$ & $2\times 10^{-4}$ & $0.1$ & $12$ & $150$ & $22$ &$e^+p$ & $301$-$319$ & \ref{eq:emeth},\ref{eq:yh},\ref{eq:sigma2} &\cite{Collaboration:2009kv}\\ H1~NC & $94$-$97$ & $0.0032$ &$0.65$ &$150$ &$30000$ & $35.6$ & $e^+p$ & $301$ & \ref{eq:esigma} & \cite{Adloff:1999ah}\\ H1~CC & $94$-$97$ & $0.013$ &$0.40$ &$300$ &$15000$ & $35.6$ & $e^+p$ & $301$ & \ref{yjb} & \cite{Adloff:1999ah}\\ H1~NC & $98$-$99$ & $0.0032$ &$0.65$ &$150$ &$30000$ & $16.4$ & $e^-p$ & $319$ & \ref{eq:esigma} & \cite{Adloff:2000qj}\\ H1~CC & $98$-$99$ & $0.013$ &$0.40$ &$300$ &$15000$ & $16.4$ & $e^-p$ & $319$ & \ref{yjb} & \cite{Adloff:2000qj}\\ H1~NC HY & $98$-$99$ & $0.0013$ &$0.01$ &$100$ &$800$ & $16.4$ & $e^-p$ & $319$ & \ref{eq:emeth} & \cite{Adloff:2003uh}\\ H1~NC & $99$-$00$ & $0.0013$ &$0.65$ &$100$ &$30000$ & $65.2$ & $e^+p$ & $319$ & \ref{eq:esigma} & \cite{Adloff:2003uh}\\ H1~CC & $99$-$00$ & $0.013$ &$0.40$ &$300$ &$15000$ & $65.2$ & $e^+p$ & $319$ & \ref{yjb} & \cite{Adloff:2003uh} \\ \hline ZEUS~BPC & $95$ & $2\times 10^{-6}$ & $6\times 10^{-5}$ &$0.11$ & $0.65$ & $1.65$ & $e^+p$ & $301$ & \ref{eq:emeth} & \cite{Breitweg:1997hz} \\ ZEUS~BPT & $97$ & $6\times 10^{-7}$ & $0.001$ & $0.045$ & $0.65$ & $3.9$ & $e^+p$ & $301$ & \ref{eq:emeth}, \ref{eq:esigma} & \cite{Breitweg:2000yn}\\ ZEUS~SVX & $95$ & $1.2\times 10^{-5}$ & $0.0019$ & $0.6$ & $17$ & $0.2$ & $e^+p$ & $301$ & \ref{eq:emeth} & \cite{Breitweg:1998dz}\\ ZEUS~NC & $96$-$97$ & $6\times10^{-5}$ &$0.65$& $2.7$ & $30000$ & $30.0$ & $e^+p$ & $301$ & \ref{eq:ptmeth} & \cite{Chekanov:2001qu}\\ ZEUS~CC & $94$-$97$ & $0.015$ & $0.42$ & $280$ & $17000$ &$47.7$ & $e^+p$ & $301$ & \ref{yjb} & \cite{zeuscc97}\\ ZEUS~NC & $98$-$99$ & $0.005$ & $0.65$ & $200$ & $30000$ &$15.9$ & $e^-p$ & $319$ & \ref{qxda} & \cite{Chekanov:2002ej} \\ ZEUS~CC & $98$-$99$ & $0.015$ & $0.42$ & $280$ & $30000$ &$16.4$ & $e^-p$ & $319$ & \ref{yjb} & \cite{Chekanov:2002zs} \\ ZEUS~NC & $99$-$00$ & $0.005$ & $0.65$ & $200$ & $30000$ &$63.2$ & $e^+p$ & $319$ & \ref{qxda} & \cite{Chekanov:2003yv} \\ ZEUS~CC & $99$-$00$ & $0.008$ & $0.42$ & $280$ & $17000$ &$60.9$ & $e^+p$ &$319$ & \ref{yjb} & \cite{Chekanov:2003vw}\\ \hline \end{tabular} \end{scriptsize} \end{center} \caption{\label{tab:data}H1 and ZEUS data sets used for the combination. The H1~svx-mb~\cite{Collaboration:2009bp} and H1~low~$Q^2$~\cite{Collaboration:2009kv} data sets comprise averages including data collected at $E_p=820$~GeV~\cite{Adloff:1997mf,h1alphas} and $E_p=920$~GeV. The formulae for $x,Q^2$ reconstruction are given in \Sec~\ref{diskine}.} \end{table} % % \section{Combination of the Measurements\label{sec:comb}} % \input{combination} \subsection{Combination Method\label{subsec:comb:method}} % The combination of the data sets uses the $\chi^2$ minimisation method described in~\cite{Collaboration:2009bp}. The $\chi^2$ function takes into account the correlated systematic uncertainties for the H1 and ZEUS cross-section measurements. For a single data set the $\chi^2$ is defined as \begin{equation} \chi^2_{\rm exp}\left(\boldsymbol{m},\boldsymbol{b}\right) = %\\ %~~~= \sum_i \frac{\left[m^i - \sum_j \gamma^i_j m^i b_j - {\mu^i} \right]^2} { \textstyle \delta^2_{i,{\rm stat}}\,{\mu^i} \left(m^i - \sum_j \gamma^i_j m^i b_j\right)+ \left(\delta_{i,{\rm uncor}}\, m^i\right)^2} + \sum_j b^2_j\,. \label{eq:ave} \end{equation} Here ${\mu^i}$ is the measured value at a point $i$ and $\gamma^i_j $, $\delta_{i,{\rm stat}} $ and $\delta_{i,{\rm uncor}}$ are relative correlated systematic, relative statistical and relative uncorrelated systematic uncertainties, respectively. The function $\chi^2_{\rm exp}$ depends on the predictions $m^i$ for the measurements (denoted as the vector $\boldsymbol{m}$) and the shifts $b_j$ (denoted as the vector $\boldsymbol{b}$) of the correlated systematic error sources. For the reduced cross-section measurements ${\mu^i} = \sigma_r^i$, $i$ denotes a $(x,Q^2)$ point, and the summation over $j$ extends over all correlated systematic sources. The predictions $m^i$ are given by the assumption that there is a single true value of the cross section corresponding to each data point $i$ and each process, neutral or charged current $e^+p$ or $e^-p$ scattering. \EEq~\ref{eq:ave} takes into account that the quoted uncertainties are based on measured cross sections, which are subject to statistical fluctuations. Under the assumption that the statistical uncertainties are proportional to the square root of the number of events and that the systematic uncertainties are proportional to $\boldsymbol{m}$, the minimum of \Eq~\ref{eq:ave} provides an unbiased estimator of $\boldsymbol{m}$. For the present cross section measurements, the leading systematic uncertainties stem from the acceptance correction and luminosity determination. Therefore, the correlated and uncorrelated systematic uncertainties are of multiplicative nature, i.e. they increase proportionally to the central values. In \Eq~\ref{eq:ave} the multiplicative nature of these uncertainties is taken into account by multiplying the relative errors $\gamma^i_j$ and $\delta_{i,{\rm uncor}}$ by the expectation $m^i$. For the inclusive DIS cross-section measurements the background contribution is small and the statistical uncertainties are defined by the square root of the number of events used to determine $\sigma^i_r$. The expected number of events is determined by the expected cross section and it can be also corrected for the biases due to the correlated systematic uncertainties. This is taken into account by the $ \delta^2_{i,{\rm stat}}\,{\mu^i} \left(m^i - \sum_j \gamma^i_j m^i b_j\right)$ term. Several data sets providing a number of measurements are represented by a total $\chi^2$ function, which is built from the sum of the $\chi^2_{\rm exp}$ functions for each data set $e$ % \begin{equation} \chi^2_{\rm tot} = \sum_e \chi^2_{{\rm exp},e}~. \label{eq:tot} \end{equation} The data averaging procedure allows the rearrangement of \Eq~\ref{eq:tot} such that it takes a form similar to \Eq~\ref{eq:ave} % \begin{equation} \chi^2_{\rm tot}\left(\boldsymbol{m},\boldsymbol{b'}\right) = \chi^2_{\rm min} + \sum_{i=1}^{N_M} \frac{\left[m^i - \sum_j \gamma^{i,{\rm ave}}_j m^i b'_j - {\mu^{i,{\rm ave}}} \right]^2} { \textstyle \delta^2_{i,{\rm ave,stat}}\, \mu^{i,{\rm ave}}\left(m^i - \sum_j \gamma^{i,{\rm ave}}_j m^i b'_j\right)+ \left(\delta_{i,{\rm ave,uncor}}\, m^i\right)^2} + \sum_j (b'_j)^2. \label{eq:avetot} \end{equation} Here $\mu^{i,{\rm ave}}$ is the average value at a point $i$ and $\gamma^{i,{\rm ave}}_j $, $\delta_{i,{\rm ave,stat}} $ and $\delta_{i,{\rm ave,uncor}}$ are its relative correlated systematic, relative statistical and relative uncorrelated systematic uncertainties, respectively. The value of $\chi^2_{\rm min}$ corresponds to the minimum of \Eq~\ref{eq:tot}. The ratio $\chi^2_{\rm min}/n_{\rm dof}$ is a measure of the consistency of the data sets. The number of degrees of freedom, $n_{\rm dof}$, is calculated as the difference between the total number of measurements and the number of averaged points $N_M$. The systematic uncertainties $b'_j$ are obtained from the original ones, $b_j$, by an orthogonal transformation~\cite{Collaboration:2009bp}. The summation of $j$ extends over all independent systematic error sources. The original double differential cross-section measurements are published with their statistical and systematic uncertainties. The statistical uncertainties correspond to $\delta_{i,{\rm stat}}$ in \Eq~\ref{eq:ave}. The systematic uncertainties are classified as either point-to-point correlated or point-to-point uncorrelated, corresponding to $\gamma_i^j$ and $\delta_{i,{\rm uncor}}$, respectively. Several measurements~\cite{Breitweg:2000yn,Breitweg:1998dz,zeuscc97,Chekanov:2002ej,Chekanov:2002zs,Chekanov:2003yv,Chekanov:2003vw} are reported with asymmetric systematic uncertainties and they are symmetrised before performing the averaging. The resulting average is found to be insensitive to the details of the symmetrisation procedure. Global normalisations of the data sets are split into an overall normalisation uncertainty of $0.5\%$, common to all data sets, due to uncertainties of higher order corrections to the Bethe-Heitler process used for the luminosity calculation, and experimental uncertainties which are treated as correlated systematic sources $\gamma_i^j$. Sources of point-to-point correlated uncertainties may be in common for CC and NC data as well as for several data sets of the same experiment. The correlations of the systematic uncertainties across the data sets are given in \Tab~\ref{tab:corel}. The systematic uncertainties are treated as independent between H1 and ZEUS apart from the $0.5\%$ overall normalisation uncertainty. All the NC and CC cross-section data from H1 and ZEUS are combined in one simultaneous minimisation. Therefore resulting shifts of the correlated systematic uncertainties propagate coherently to both CC and NC data. \subsection{Corrections and Uncertainties\label{subsec:comb:corrs}} \subsubsection{Extrapolation to Common $\boldsymbol{(x,Q^2)}$ Grid \label{subsubsec:extrapol}} % Prior to the combination, the H1 and ZEUS data are transformed to a common grid of $(x,Q^2)$ points. The grid points are chosen such that the interpolation corrections are minimal taking advantage of the fact that the original $(x,Q^2)$ grids of the H1 and ZEUS experiments are similar. Furthermore, the chosen grid ensures that no two separate measurements of the same data set interpolate to a common grid point\footnote{An exception is made for the ZEUS SVX~\cite{Breitweg:1998dz} data for which five pairs of points are first averaged using statistical uncertainties and then added to the combination.}. For $Q^2\ge 0.2$~GeV$^2$, for the majority of the grid points both H1 and ZEUS measurements enter the combination. For some of the grid points there is no nearby counterpart from the other experiment, giving points in the combined cross section which originate from either H1 or ZEUS only. Note that through the systematic error correlation, such data points may be nevertheless shifted with respect to the original measurement in the averaging procedure. The transformation of a measurement from the given $(x,Q^2)$ to the nearest $(x_{\rm grid},Q^2_{\rm grid})$ point on the grid is performed by multiplying the measured cross section by a ratio of theoretically calculated double differential cross sections at $(x_{\rm grid},Q^2_{\rm grid})$ and $(x,Q^2)$. This interpolation is repeated iteratively. For the first iteration, the H1 PDF 2000 parametrisation~\cite{Adloff:2003uh} is used for $Q^2 \ge 3$~GeV$^2$, where it is applicable, and the fractal model fit~\cite{Collaboration:2009bp} for $Q^2 < 3$~GeV$^2$. For the second iteration, a QCD fit to the first iteration of the averaged data (see \Sec~\ref{pdffit}) is used for $Q^2\ge 3$~GeV$^2$ and the fractal model fit for $Q^2<3$~GeV$^2$. The difference between cross-section measurements obtained after the first and second iterations is smaller than a few per mille for the NC and $2\%$ for the CC data. The QCD fit obtained using the data from the first iteration is to per mille precision identical to the fit obtained using the data from the second iteration. Therefore, no further iterations are performed. This procedure is checked using the ZEUS-JETS parametrisation~\cite{Chekanov:2005nn} for the first iteration. The resulting cross-section difference is negligible compared to the experimental precision. \subsubsection{Centre-of-Mass Energy Correction} % The data sets considered for the combination contain sub-samples taken with a proton beam energy of $E_p=820$~GeV and $E_p=920$~GeV. Both the CC and NC scattering reduced cross-sections depend weakly on the energy via terms containing the inelasticity $y$. For the CC data for all values of $y$ and for the NC data for $y<0.35$, the uncertainty on the theoretically estimated difference between cross sections for $E_p = 820$~GeV and $E_p = 920$~GeV is negligible compared to the experimental precision. Therefore the data are corrected to a common centre-of-mass energy corresponding to $E_p=920$~GeV and then averaged. The NC data for $y\ge 0.35$ are kept separate for the two proton beam energies. The correction is calculated multiplicatively for the CC data which is given in full double differential form % \begin{equation} \label{eq:cccme} \ccddne = \ccddre \left[ \ccddneth \left/ \ccddreth \right. \right] \end{equation} % and additively for the NC data which is quoted in reduced double differential form % \begin{equation} \ncredne = \ncredre + \Delta \ncredth (x, Q^2,y_{820},y_{920})\,. \end{equation} Here $y_{820}$ and $y_{920}$ are the inelasticities for the two proton beam energies calculated as $y = Q^2/ 4 E_e E_p x$. The theoretical cross sections follow the same prescription used for the extrapolation correction in \Sec~\ref{subsubsec:extrapol}. For the neutral current case, \begin{equation} \Delta \ncredth (x, Q^2,y_{820},y_{920}) = \boldflth (x,Q^2) \left[ \frac{\textstyle y_{820}^2}{\textstyle Y_{+\, 820}} - \frac{\textstyle y_{920}^2}{\textstyle Y_{+\, 920}} \right] + \boldxftth (x,Q^2) \left[ \pm \frac{\textstyle Y_{-\,820}}{\textstyle Y_{+\,820}} \mp \frac{\textstyle Y_{-\,920}}{\textstyle Y_{+\,920}} \right]\,, \label{eq:delta} \end{equation} where $Y_{\pm\,820,920} = 1 \pm (1-y_{820,920})^2$. The largest uncertainty in \Eq~\ref{eq:delta} stems from the calculation of the structure function $\boldflth$. To estimate the uncertainty on the combined data arising from the centre-of-mass energy correction another average is performed assuming $\boldflth=0$. The difference between this and the nominal average is at most $0.1\%$ and thus the uncertainty on the averaged cross section resulting from the centre-of-mass energy correction is negligible. % \subsubsection{Procedural Uncertainties \label{subsubsec:proc_errors}} % The $\chi^2$ function given by \Eq~\ref{eq:ave} treats all systematic uncertainties as multiplicative, i.e. proportional to the expected central values. While this generally holds for the normalisation uncertainties, this may not be the case for the other uncertainties. To study the sensitivity of the average result to this issue, an alternative averaging is performed, for which only normalisation uncertainties are taken as multiplicative while all other uncertainties are treated as additive. The difference between this average and the nominal average result is used as a correlated procedural error $\delta_{\rm ave,rel}$. The typical size of $\delta_{\rm ave,rel}$ is below $0.5\%$ for the low $Q^2$ data reaching a few percent for high $Q^2$. The H1 and ZEUS collaborations use similar methods for detector calibration %and event kinematic reconstruction. The two collaborations and employ similar Monte Carlo simulation models for radiative corrections, for the hadronic final state simulation and for photoproduction background subtraction. Such similarities may lead to correlations between the H1 and ZEUS measurements. To investigate the effect of possible correlations, $12$ sources of similar systematic uncertainties of the two experiments are identified. These are related to the photoproduction background, the electromagnetic and hadronic energy scales and the electron scattering angle. Then $2^{12}$ different averages are calculated assuming each of the $12$ pairs to be correlated or uncorrelated, and these alternative averages are compared to the nominal average for which all sources are assumed to be uncorrelated. By studying these averages it is found that the only two systematic sources which result in significantly different average cross sections are the photoproduction background and the hadronic energy scale. The differences between the nominal average and the averages in which systematic sources for the photoproduction background and hadronic energy scale are considered to be correlated are taken as additional procedural uncertainties $\delta_{\rm ave,\gamma p}$ and $\delta_{\rm ave,had}$. Typical values of $\delta_{\rm ave,\gamma p}$ and $\delta_{\rm ave,had}$ are below $0.5\%$. As expected, $\delta_{\rm ave,\gamma p}$ is larger at high $y>0.5$ while $\delta_{\rm ave,had}$ is significant for low $y$ only. \subsection{Results\label{subsec:comb:results}} % % \input{def} \def\totalave{ 1402} \def\uniqueave{ 741} \def\chiavedat{609.6} \def\chiave{636.5} \def\dofave{656} \def\chiavesys{26.9} \begin{table} \begin{center} \begin{tabular}{lrr} \hline Data set & \multicolumn{2}{c}{Shift} \\ & \multicolumn{1}{c}{ $b$} & \multicolumn{1}{c}{$(b \gamma_{\rm norm})$} \\ \hline % \input{tab3} H1 svx-mb~\cite{Collaboration:2009bp} & $ -0.24$ & $( -0.2\%)$ \\ H1 low $Q^2$~\cite{Collaboration:2009kv} & $ -0.45$ & $( -0.4\%)$ \\ H1 $94-97$~\cite{Adloff:1999ah} & $ -0.65$ & $( -0.9\%)$ \\ H1 $98-99$~\cite{Adloff:2000qj,Adloff:2003uh} & $ -0.05$ & $( -0.1\%)$ \\ H1 $99-00$~\cite{Adloff:2003uh} & $ -0.19$ & $( -0.3\%)$ \\ ZEUS BPC~\cite{Breitweg:1997hz} & $ 0.23$ & $( 0.3\%)$ \\ ZEUS BPT~\cite{Breitweg:2000yn} & $ -0.03$ & $( -0.1\%)$ \\ ZEUS SVX~\cite{Breitweg:1998dz} & $ 0.78$ & $( 1.2\%)$ \\ ZEUS $94-97$~\cite{Chekanov:2001qu,zeuscc97} & $ 0.44$ & $( 0.8\%)$ \\ ZEUS $96-97$ low $Q^2$~\cite{Chekanov:2001qu} & $ -1.10$ & $( -1.1\%)$ \\ ZEUS $98-99$~\cite{Chekanov:2002ej,Chekanov:2002zs} & $ 0.05$ & $( 0.1\%)$ \\ ZEUS $99-00$~\cite{Chekanov:2003vw,Chekanov:2003yv} & $ -0.18$ & $( -0.4\%)$ \\ \hline \end{tabular} \end{center} \caption{\label{tab:normshifts}Shifts of global normalisation of the data sets in units of the normalisation uncertainty (and in percent of the original cross sections). } \end{table} The average NC and CC cross sections and the structure function $F_2$ together with statistical, uncorrelated systematic and procedural uncertainties are given in \Tabs~\ref{tab615a1}-\ref{tab3615a1}. The full information about correlation between cross-section measurements can be found elsewhere~\cite{fullcorr}. The total integrated luminosity of the combined data set corresponds to about $200$~pb$^{-1}$ for $e^+p$ and $30$~pb$^{-1}$ for $e^-p$. In total $\totalave$ data points are combined to $\uniqueave$ cross-section measurements. The data show good consistency, with $\chi^2/n_{\rm dof} = \chiave/\dofave$. For the measurement at the point $i$ of the data set $e$ which has measurements of other data sets averaging to the same $(x,Q^2)$ point, the pull ${\rm p}^{i,e}$ can be defined \begin{equation} {\rm p}^{i,e} = \frac{\mu^{i,e} - \mu^{i,{\rm ave}}\left(1- \sum_j \gamma^{i,e}_j b_{j,{\rm ave}}\right)}{\sqrt{\Delta_{i,e}^2 - \Delta_{i,{\rm ave}}^2}}, \end{equation} where $\Delta_{i,e}$ ($\Delta_{i,{\rm ave}}$) is the statistical and uncorrelated systematic uncertainty added in quadrature for the measurement $e$ (average). The distribution of pulls shows no tensions for all processes across the kinematic plane, see \Fig~\ref{fig:pulls}. There are in total $110$ sources of correlated systematic uncertainty, including global normalisations, characterising the separate data sets. None of these systematic sources shifts by more than $2\, \sigma$ of the nominal value in the averaging procedure. %The contribution from the correlated %systematic uncetainties to the total $\chi^2$ is $\chiavesys$ units. The distribution of pulls for the correlated systematic sources, defined as ${\rm p_s} = b_{j,{\rm ave}}/(1 - \Delta_{b_j,{\rm ave}}^2)^{1/2}$, where $\Delta_{b_j,{\rm ave}}$ is the uncertainty of the source $j$ after the averaging, is given in \Fig~\ref{fig:syspulls}. The shifts of the global normalisation for each input data set are given in \Tab~\ref{tab:normshifts}. The absolute normalisation of the combined data set is to a large extent defined by the most precise measurements of NC $e^+p$ cross-section in the $10\le Q^2\le 100$~GeV$^2$ kinematic range. Here the H1~\cite{Collaboration:2009kv} and ZEUS~\cite{Chekanov:2001qu} results move towards each other and the other data sets follow this adjustment. The influence of several correlated systematic uncertainties is reduced significantly for the averaged result. For example, the uncertainty due to the H1 LAr calorimeter energy scale is reduced by $55\%$ while the uncertainty due to the ZEUS photoproduction background is reduced by $65\%$. There are two main reasons for this significant reduction. Since H1 and ZEUS use different reconstruction methods, described in \Sec~\ref{diskine}, similar systematic sources influence the measured cross section differently as a function of $x$ and $Q^2$. Therefore, requiring the cross sections to agree at all $x$ and $Q^2$ constrains the systematics efficiently. In addition, for certain regions of the phase space, one of the two experiments has superior precision compared to the other. For these regions, the less precise measurement is fitted to the more precise one, with a simultaneous reduction of the correlated systematic uncertainty. This reduction propagates to the other average points, including those which are based solely on the measurement from the less precise experiment. For $Q^2\ge 100$~GeV$^2$ the precision of the H1 and ZEUS measurements is about equal and thus the systematic uncertainties are reduced uniformly. For $2.5\le Q^2 < 100$~GeV$^2$ and for $Q^2<1$~GeV$^2$ the precision is dominated by the H1~\cite{Collaboration:2009bp,Collaboration:2009kv} and by the ZEUS~\cite{Breitweg:2000yn} measurements, respectively. Therefore the overall reduction of the uncertainties is smaller, and it is essentially obtained from the reduction of the correlated systematic uncertainty. For example, for $Q^2\sim 30$~GeV$^2$ the obtained precision of $1.1\%$ is dominated by the data of~\cite{Collaboration:2009kv}, where $1.3\%$ uncertainties are reported. The correlated error part of the full uncertainty is reduced from about 75\% in~\cite{Collaboration:2009kv} to 55\% in the combined measurement. The total uncertainty is typically smaller than $2\%$ for $3 < Q^2 < 500$~GeV$^2$ and reaches $1\%$ for $20 < Q^2 < 100$~GeV$^2$. The uncertainties are larger for high inelasticity $y>0.6$ due to the photoproduction background. In \Figs~\ref{fig:quality} and \ref{fig:quality2}, averaged data are compared to the input H1 and ZEUS data. In \Figs~\ref{fig:vsQ2l} and \ref{fig:vsQ2m}, the combined NC $e^+p$ data at very low $Q^2$ and at low $Q^2$ are shown. In \Figs~\ref{fig:dataNCp} and \ref{fig:dataNCm}, the combined NC $e^+p$ and $e^-p$ data at high $Q^2$ are shown. In \Fig~\ref{fig:scal} the $e^{+}p$ NC reduced cross section, for $Q^2 > 1$\,GeV$^2$, is shown as a function of $Q^2$ for the HERA combined $e^+p$ data and for fixed-target data~\cite{bcdms,nmc} across the whole of the measured kinematic plane. The combined NC $e^{\pm}p$ reduced cross sections are compared in the high-$Q^2$ region in \Fig~\ref{fig:ncepem}. In \Figs~\ref{fig:dataCCp} and \ref{fig:dataCCm} the combined data set is shown for CC scattering at high $Q^2$. The HERAPDF1.0 fit, described in the next section, is compared to the data in the kinematic region suitable for the application of perturbative QCD. % % \section{QCD Analysis of the Combined Data \label{sec:fit}} % \input{fit} % \label{pdffit} \subsection{Definition of $\boldsymbol{\chi^2}$ and Treatment of Systematic Uncertainties} The combined data set on NC and CC $e^+p$ and $e^-p$ inclusive cross-sections is used as the sole input for a next-to-leading order (NLO) QCD PDF fit, called HERAPDF1.0. The form of the $\chi^2$ used for this fit follows \Eq~\ref{eq:ave}. The consistency of the present input data justifies the use of the conventional $\chi^2$ tolerance, $\Delta\chi^2=1$, when determining the experimental uncertainties on the HERAPDF1.0 fit. The role of correlated systematic uncertainties should be considered carefully when defining the $\chi^2$ for PDF fits. Global fits have used the Hessian method~\cite{Pumplin:2002vw,Alekhin:2002fv}, the Offset method~\cite{Botje:1999dj,Chekanov:2002pv} and quadratic combination~\cite{Martin:2001es,Martin:2009iq}. In fits to HERA data alone, H1 have used the Hessian method~\cite{Adloff:2003uh,Collaboration:2009kv} and ZEUS have used the Offset method~\cite{Chekanov:2005nn}. These different methods can lead to quite different estimates of the PDF central values and uncertainties~\cite{CooperSarkar:2005zd,Alekhin:2003ye}, with the Offset method giving the largest uncertainties if the correlated systematic uncertainties are larger than the statistical uncertainties of the data sets. In the present analysis, the combination of the H1 and ZEUS data sets is done by a Hessian procedure under the assumption that there is only one true cross section value for each process (NC or CC, $e^+p$ or $e^-p$ scattering) at each $(x,Q^2)$ point. This results in a data set with correlated systematic uncertainties which are smaller or comparable to the statistical and uncorrelated uncertainties. Thus the central values and experimental uncertainties on the PDFs which are extracted from the combined data are not much dependent on the method of treatment of correlated systematic uncertainties in the fitting procedure. The most conservative estimate of uncertainties still results from the use of the Offset method for all $113$ systematic errors. However, this procedure is very cumbersome and in practice a very similar uncertainty estimate is obtained from using the Offset method only for the largest correlated systematic errors, namely the three procedural errors (see \Sec~\ref{subsubsec:proc_errors}). Thus for the central fit, the $110$ systematic uncertainties which result from the ZEUS and H1 data sets are combined in quadrature, and the three sources of uncertainty which result from the combination procedure are treated by the offset method. The $\chi^2$ per degree of freedom for this fit is $574/582$; for a fit combining all $113$ uncertainties in quadrature the $\chi^2$ is $532$ and for a fit treating all $113$ by the Hessian method the $\chi^2$ is $579$. The resulting experimental uncertainties on the PDFs are small. Therefore, a thorough consideration of further uncertainties due to model assumptions and parametrisation dependence is necessary. \subsection{Theoretical Formalism and Assumptions} % The QCD predictions for the structure functions are obtained by solving the DGLAP evolution equations~\cite{Gribov:1972ri,Gribov:1972rt,Lipatov:1974qm,Dokshitzer:1977sg,Altarelli:1977zs} at NLO in the \msbar scheme with the renormalisation and factorization scales chosen to be $Q^2$. %~\footnote{ The programme QCDNUM~\cite{QCDNUM} is used and checked against the programme QCDfit~\cite{Pascaud:1995qs}. The DGLAP equations yield the PDFs at all values of $Q^2$ if they are provided as functions of $x$ at some input scale $Q^2_0$. This scale is chosen to be $Q^2_0 = 1.9~$GeV$^2$ such that the starting scale is below the charm mass threshold, $Q_0^2 < m_c^2$. The light quark coefficient functions are calculated in QCDNUM. The heavy quark coefficient functions are calculated in the general-mass variable-flavour-number scheme of \cite{Thorne:1997ga}, with recent modifications~\cite{Thorne:2006qt,ThornePrivComm}. The heavy quark masses $m_c=1.4~$GeV and $m_b=4.75~$GeV are chosen following~\cite{Martin:2009iq}. The strong coupling constant is fixed to $\asmz = 0.1176$~\cite{PDG}. The HERA data have a minimum invariant mass of the hadronic system, $W$, of $15$\,GeV and a maximum $x$ of $0.65$, such that they are in a kinematic region where there is no sensitivity to target mass and large-$x$ higher-twist contributions. A minimum $Q^2$ cut of $Q^2_{min} = 3.5$~GeV$^2$ is imposed to remain in the kinematic region where perturbative QCD should be applicable. PDFs are parametrised at the input scale by the generic form % \begin{equation} xf(x) = A x^{B} (1-x)^{C} (1 + \epsilon\surd x + D x + E x^2). \label{eqn:pdf} \end{equation} The parametrised PDFs are the gluon distribution $xg$, the valence quark distributions $xu_v$, $xd_v$, and the $u$-type and $d$-type anti-quark distributions $x\bar{U}$, $x\bar{D}$. Here $x\bar{U} = x\bar{u}$, $x\bar{D} = x\bar{d} +x\bar{s}$ at the chosen starting scale. The central fit is found by first setting the $\epsilon$, $D$ and $E$ parameters to zero (this leaves $9$ parameters free) and then introducing them in the fit procedure, one at a time, to determine the best fit. The best $10$ parameter fit has $E_{u_v}\not= 0$. The other $\epsilon$, $D$ and $E$ parameters are then added, one at a time, to determine the best $11$ parameter fit. The $11$ parameter fits do not represent a significant improvement in fit quality compared to the best $10$ parameter fit\footnote{The largest decrease in $\chi^2$ is $\Delta\chi^2 = -5$, for a fit which has $xd_{v} < x\bar{d}$ at large $x$.}. The $10$ parameter fit, selected as the central fit, has a good $\chi^2$ per degree of freedom, $574/582$, and satisfies the criteria that all the PDFs are positive and they obey the valence quark approximation that $xd_{v} > x\bar{d}$ at large $x$. The resulting parametrisations are \begin{eqnarray} \label{eq:xgpar} xg(x) &= & A_g x^{B_g} (1-x)^{C_g} , \\ xu_v(x) &= & A_{u_v} x^{B_{u_v}} (1-x)^{C_{u_v}}\left(1+E_{u_v}x^2 \right) , \\ \label{eq:xuvpar} xd_v(x) &= & A_{d_v} x^{B_{d_v}} (1-x)^{C_{d_v}} , \\ \label{eq:xdvpar} x\bar{U}(x) &= & A_{\bar{U}} x^{B_{\bar{U}}} (1-x)^{C_{\bar{U}}} , \\ \label{eq:xubarpar} x\bar{D}(x) &= & A_{\bar{D}} x^{B_{\bar{D}}} (1-x)^{C_{\bar{D}}} . \label{eq:xdbarpar} \end{eqnarray} The normalisation parameters, $A_g, A_{u_v}, A_{d_v}$, are constrained by the quark number sum-rules and momentum sum-rule. The $B$ parameters $B_{\bar{U}}$ and $B_{\bar{D}}$ are set equal, $B_{\bar{U}}=B_{\bar{D}}$, such that there is a single $B$ parameter for the sea distributions. The strange quark distribution is expressed as $x$-independent fraction, $f_s$, of the $d$-type sea, $x\bar{s}= f_s x\bar{D}$ at $Q^2_0$. The central value $f_s=0.31$ is chosen to be consistent with determinations of this fraction using neutrino-induced di-muon production~\cite{Martin:2009iq,Nadolsky:2008zw}. The further constraint $A_{\bar{U}}=A_{\bar{D}} (1-f_s)$, together with the requirement $B_{\bar{U}}=B_{\bar{D}}$, ensures that $x\bar{u} \rightarrow x\bar{d}$ as $x \rightarrow 0$. For the central fit, the valence $B$ parameters, $B_{u_v}$ and $B_{d_v}$ are also set equal, but this assumption is dropped when parametrisation variations are considered. The central values of the parameters are given in Table~\ref{tab:param}. \newcolumntype{d}{D{.}{.}{3}} \newcolumntype{e}{D{.}{.}{1}} \begin{table}[tbp] \centerline{ \begin{tabular}{|l|ddee|} %\vspace{-1.0cm} \hline \multicolumn{1}{|c}{ } & \multicolumn{1}{c}{~~~$A$~~~} & \multicolumn{1}{c}{~~~$B$~~~} & \multicolumn{1}{c}{~~~$C$~~~} & \multicolumn{1}{c|}{~~~$E$~~~} \\ \hline $xg$ & 6.8 & 0.22 & 9.0 & \\ $xu_v$ & 3.7 & 0.67 & 4.7 & 9.7 \\ $xd_v$ & 2.2 & 0.67 & 4.3 & \\ $x\bar{U}$ & 0.113 & -0.165 & 2.6 & \\ $x\bar{D}$ & 0.163 & -0.165 & 2.4 & \\ \hline \end{tabular}} \caption{Central values of the HERAPDF1.0 parameters.} \label{tab:param}\end{table} % Model uncertainties and parametrisation uncertainties of the central fit solution are evaluated by varying the input assumptions. The variation of numerical values chosen for the central fit is specified in Table~\ref{tab:model}. \begin{table}[tbp] \centerline{ \begin{tabular}{|l|c|c|c|} %\vspace{-1.0cm} \hline \multicolumn{1}{|c|}{Variation} & \multicolumn{1}{c|}{Standard Value} & \multicolumn{1}{c|}{Lower Limit} & \multicolumn{1}{c|}{Upper Limit} \\ \hline $f_s$ & $0.31$ & $0.23\phantom{^{(a)}}$ & $0.38\phantom{^{(c,d)}}$ \\ $m_c$ [GeV] & $1.4\phantom{0}$ & $1.35^{(a)}$ & $1.65\phantom{^{(c,d)}}$ \\ $m_b$ [GeV] & $4.75$ & $4.3\phantom{0^{(a)}}$ & $5.0\phantom{0^{(c,d)}}$ \\ $Q^2_{min}$ [GeV$^2$] & $3.5\phantom{0}$ & $2.5\phantom{0^{(a)}}$ & $5.0\phantom{0^{(c,d)}}$ \\ $Q^2_0$ [GeV$^2$] & $1.9\phantom{0}$ & $1.5^{(b)}\phantom{0}$ & $2.5^{(c,d)}\phantom{0}$ \\ \hline \multicolumn{2}{c}{ } & \multicolumn{1}{l}{\footnotesize $^{(a)} Q^2_0=1.8$} & \multicolumn{1}{l}{\footnotesize $^{(c)} m_c=1.6$} \\ \multicolumn{2}{c}{ } & \multicolumn{1}{l}{\footnotesize $^{(b)} f_s=0.29$} & \multicolumn{1}{l}{\footnotesize $^{(d)} f_s=0.34$} \\ \end{tabular}} \caption{Standard values of input parameters and the variations considered. } \label{tab:model} \end{table} % The variation of $f_s$ is chosen to span the ranges determined in~\cite{Martin:2009iq,Nadolsky:2008zw}. The variations of $Q^2_0$ and $f_s$ are not independent, since QCD evolution will ensure that the strangeness fraction increases as $Q^2_0$ increases. The value $f_s=0.29$ is used for $Q^2_0=1.5~$GeV$^2$ and the value $f_s=0.34$ is used for $Q^2_0=2.5~$GeV$^2$ in order to be consistent with the choice $f_s=0.31$ at $Q^2_0=1.9~$GeV$^2$. The variations of $Q^2_0$ and $m_c$ are also not independent, since $Q_0 < m_c$ is required in the fit programme. Thus when $m_c = 1.35$\,GeV, the starting scale used is $Q^2_0=1.8$\,GeV$^2$. Similarly, when $Q^2_0 = 2.5~$GeV$^2$ the charm mass used is $m_c=1.6~$GeV. In practice, the variations of $f_s$, $m_c$, $m_b$, mostly affect the model uncertainty of the $x\bar{s}$, $x\bar{c}$, $x\bar{b}$, quark distributions, respectively, and have little effect on other parton flavours. The difference between the central fit and the fits corresponding to model variations of $m_c$, $m_b$, $f_s$, $Q^2_{min}$ are added in quadrature, separately for positive and negative deviations, and represent the model uncertainty of the HERAPDF1.0 set. The variation in $Q^2_0$ is regarded as a parametrisation uncertainty, rather than a model uncertainty. At the starting scale the gluon parametrisation is valence-like. For the downward variation of the starting scale, $Q^2_0 = 1.5~$GeV$^2$, a parametrisation which explicitly allows for a negative gluon contribution at low $x$ is considered: a term of the form $A_g'x^{B_g'}(1-x)^{C_g'}$ is subtracted from the gluon of the standard parametrisation, where $C_g' = 25$ is fixed\footnote{The fit is not sensitive to this value provided it is high enough ($C_g' > 15$) that the term does not contribute at large $x$.} and $A_g'$ and $B_g'$ are fitted. The variations of $Q^2_0$ mostly increase the PDF uncertainties of the sea and gluon at small $x$. A further variation of parametrisation, allowing $B_{u_v}\not= B_{d_v}$, increases the uncertainties on the valence quarks at low $x$. Finally, variation of the number of terms in the polynomial $(1 + \epsilon\surd x + D x + E x^2)$ is considered for each fitted parton distribution. All the 11 parameter fits which have $E_{u_v} \not= 0$ and one more $\epsilon$, $D$ or $E$ parameter non-zero are considered as possible variants\footnote{The criteria that all PDFs should be positive or that $xd_v > x\bar{d}$ at high $x$ are not imposed on these variants.}. In practice only a small number of them have significantly different PDF shapes from the central fit, notably: $D_{u_v}\not= 0$, $D_{\bar{U}}\not= 0$ and $D_{\bar{D}}\not=0$. These variations mostly increase the PDF uncertainty at high $x$, but the valence PDFs at low $x$ are also affected because of the constraint of the quark number sum rules. The difference between all these parametrisation variations and the central fit is stored and an envelope representing the maximal deviation at each $x$ value is constructed to represent the parametrisation uncertainty. The total PDF uncertainty is obtained by adding in quadrature experimental, model and parametrisation uncertainties. In summary, the HERAPDF1.0 analysis has two notable features. Firstly, it uses a consistent data set with small correlated systematic uncertainties and applies the conventional $\chi^2$ tolerance, $\Delta\chi^2=1$, when determining the experimental uncertainties on the PDFs. This data set includes four different processes, NC and CC, $e^+p$ and $e^-p$ scattering, such that there is sufficient information to extract $x\bar{U}, x\bar{D}, xd_v, xu_v$ PDFs and the gluon PDF from the scaling violations. Secondly, this analysis makes an assessment of uncertainties introduced both by model assumptions and by assumptions about the form of the parametrisation. \subsection{Fit Results} \label{ssec:results} \FFigs~\ref{fig:pdfs2}-\ref{fig:pdfs10000} show the HERAPDF1.0 distributions, $xu_v,xd_v,xS,xg$, as a function of $x$ at the starting scale $Q^2=1.9$\,GeV$^2$ and at $Q^2=10, 10000$~GeV$^2$, where $xS =2x (\bar{U} + \bar{D})$ is the sea PDF. Note that for $Q^2 > m_c^2$, $x\bar{U} = x\bar{u} + x\bar{c}$, and for $Q^2 > m_b^2$, $x\bar{D} = x\bar{d} +x\bar{s} +x\bar{b}$, so that the heavy quarks are included in the sea distributions. The break-up of $xS$ into the flavours $xu_{sea}=2x\bar{u}$, $xd_{sea}=2x\bar{d}$, $xs_{sea}=2x\bar{s}$, $xc_{sea}=2x\bar{c}$, $xb_{sea}=2x\bar{b}$ is illustrated so that the relative importance of each flavour at different $Q^2$ may be assessed. Fractional uncertainty bands are shown below each PDF. The experimental, model and parametrisation uncertainties are shown separately. The model and parametrisation uncertainties are asymmetric. For the sea and gluon distributions, the variations in parametrisation which have non-zero $\epsilon$, $D$ and $E$ affect the large-$x$ region, and the uncertainties arising from the variation of $Q^2_0$ and $Q^2_{min}$ affect the small-$x$ region. In particular the parametrisation variation which includes a negative gluon term increases the uncertainty on the gluon at low $x$ and low $Q^2$. However the gluon distribution itself is not negative in the fitted kinematic region. For the valence distributions the non-zero $\epsilon$, $D$ and $E$ parametrisation uncertainty is important for all $x$, and is their dominant uncertainty. The total uncertainties at low $x$ decrease with increasing $Q^2$ due to QCD evolution and reach, for instance, $2\%$ uncertainty on $xg$ at $Q^2=10000$~GeV$^2$ and $x<0.01$. The break-up of the PDFs into different flavours is further illustrated in \Figs~\ref{fig:pdfsUD} and \ref{fig:pdfsudcs}, where the quark distributions $xU, xD, x\bar{U}, x\bar{D}$ and $x\bar{u}, x\bar{d}, x\bar{c}, x\bar{s}$ are shown at $Q^2=10$~GeV$^2$. The PDFs $xU, xD, x\bar{U}, x\bar{D}$ are closely related to the measurements, see equations~\ref{ncfu},~\ref{ccupdo}, and are very well constrained at low $x$. The $U$ flavour is better constrained than the $D$ flavour because of the dominance of this flavour in all interactions except $e^+p$ CC scattering. The quark distributions $x\bar{d}, x\bar{s}$ are derived from $x\bar{D}$ through the assumption on the value of $f_s$, and the uncertainty on $x\bar{s}$ directly reflects the uncertainty on this fraction. The uncertainty on $x\bar{d}$ follows closely that on $x\bar{D}$ and the uncertainty on $x\bar{u}$ follows closely that on $x\bar{U}$. The charm PDF, $x\bar{c}$, is shown at $Q^2=10$~GeV$^2$, so that the condition $Q^2 \gg m_c^2$ is fulfilled and it may be regarded as a fully active parton. However, it is strongly related to the gluon density such that it is affected by the same variations which affect the gluon PDF (variation of $Q^2_0$ and $Q^2_{min}$) as well as by the variation of $m_c$. The dominant uncertainty on the charm PDF comes from the variation $Q^2_0 = 2.5~$GeV$^2$. The uncertainty on the bottom PDF, $x\bar{b}$ (not shown), is dominated by the variation of $m_b$. \FFig~\ref{fig:summary} shows summary plots of the HERAPDF1.0 distributions at the starting scale $Q^2=1.9~$GeV$^2$ and at $Q^2=10~$GeV$^2$. \FFig~\ref{fig:summarylog} shows such plots on a logarithmic scale such that the behaviour and the uncertainties of the PDFs at high $x$ are emphasised. A cross check of the sensitivity to the heavy-flavour treatment is made by performing a fit using an alternative general-mass variable-flavour-number scheme, the ACOT scheme~\cite{Kramer:2000hn}. The result of this fit is shown for $Q^2=10$~GeV$^2$ in \Fig~\ref{fig:acot}. The PDFs determined using the ACOT scheme are within the total uncertainty of the standard fit. The sensitivity of the HERAPDF0.1 fit to the value of $\alpha_S$ is estimated by varying $\alpha_S$ by $\pm 0.002$~\cite{PDG}. Only the gluon PDF is significantly affected. The change of the gluon PDF is outside the total uncertainty bands of the standard fit, as illustrated in \Fig~\ref{fig:alf}. % \section{Conclusions \label{sec:sum}} % \input{summary} Inclusive cross sections of neutral and charged current $e^{\pm}p$ scattering measured by the H1 and ZEUS Collaborations are combined. The kinematic range of the NC data extends from $6 \cdot 10^{-7}$ to $0.65$ in Bjorken $x$ for $0.045 \leq Q^2 \leq 30000$\,GeV$^2$ and inelasticity values $y$ between $0.005$ and $0.95$. The CC data cover a range $ 0.013 \leq x \leq 0.4$ and $300 \leq Q^2 \leq 30000$\,GeV$^2$ for $y$ between $0.037$ and $0.76$. The combination comprises all inclusive data from the first period of the operation of HERA. The input data from H1 and ZEUS are consistent with each other at $\chi^2/n_{\rm dof} = 636.5/656$. The total uncertainty of the combined data set reaches $1\%$ for NC scattering in the best measured region, $20 < Q^2 < 100$ GeV$^2$. A NLO QCD analysis is performed based exclusively on these combined $e^{\pm}p$ scattering cross-section data. A new set of parton distribution functions, HERAPDF1.0, is obtained using a variable-flavour-number scheme. The analysis yields small experimental uncertainties and includes estimates for model and parametrisation uncertainties. Due to the precision of the combined data set, the parametrisation HERAPDF1.0 has total uncertainties at the level of a few percent at low $x$. \section*{Acknowledgements} \refstepcounter{pdfadd} \pdfbookmark[0]{Acknowledgements}{s:acknowledge} %%% copied from multi-lepton paper We are grateful to the HERA machine group whose outstanding efforts have made these experiments possible. We appreciate the contributions to the construction and maintenance of the H1 and ZEUS detectors of many people who are not listed as authors. We thank our funding agencies for financial support, the DESY technical staff for continuous assistance and the DESY directorate for their support and for the hospitality they extended to the non-DESY members of the collaborations. \clearpage \bibliography{desy09-158} \clearpage % \input{tables} % \begin{table} \begin{scriptsize} \begin{center} \begin{tabular}{ll} Source & Data Samples \\ \hline % \input{tab2} H1 $E'_e$ & $\delta_{1}$ H1 NC\cite{Adloff:2000qj} --- $\delta_{1}$ H1 NC~HY\cite{Adloff:2003uh} --- $\delta_{1}$ H1 NC\cite{Adloff:1999ah} --- $\delta_{1}$ H1 NC\cite{Adloff:2003uh} \\ H1 $E_h$ & $\delta_{2}$ H1 CC\cite{Adloff:1999ah} --- $\delta_{2}$ H1 CC\cite{Adloff:2003uh} --- $\delta_{2}$ H1 CC\cite{Adloff:2000qj} --- $\delta_{3}$ H1 NC\cite{Adloff:2000qj} --- $\delta_{3}$ H1 NC~HY\cite{Adloff:2003uh} --- $\delta_{3}$ H1 NC\cite{Adloff:1999ah} --- $\delta_{3}$ H1 NC\cite{Adloff:2003uh} \\ H1 $\gamma p$ asymmetry & $\delta_{6}$ H1 NC~HY\cite{Adloff:2003uh} --- $\delta_{6}$ H1 NC\cite{Adloff:2003uh} \\ H1 $\gamma p$ background & $\delta_{4}$ H1 CC\cite{Adloff:1999ah} --- $\delta_{4}$ H1 CC\cite{Adloff:2003uh} --- $\delta_{4}$ H1 CC\cite{Adloff:2000qj} --- $\delta_{5}$ H1 NC\cite{Adloff:2000qj} --- $\delta_{5}$ H1 NC~HY\cite{Adloff:2003uh} --- $\delta_{5}$ H1 NC\cite{Adloff:1999ah} --- $\delta_{5}$ H1 NC\cite{Adloff:2003uh} \\ H1 $\theta_e$ & $\delta_{2}$ H1 NC\cite{Adloff:2000qj} --- $\delta_{2}$ H1 NC~HY\cite{Adloff:2003uh} --- $\delta_{2}$ H1 NC\cite{Adloff:2003uh} \\ H1 CC cuts & $\delta_{1}$ H1 CC\cite{Adloff:2003uh} --- $\delta_{1}$ H1 CC\cite{Adloff:2000qj} \\ H1 LAr Noise & $\delta_{3}$ H1 CC\cite{Adloff:1999ah} --- $\delta_{3}$ H1 CC\cite{Adloff:2003uh} --- $\delta_{3}$ H1 CC\cite{Adloff:2000qj} --- $\delta_{4}$ H1 NC\cite{Adloff:2000qj} --- $\delta_{4}$ H1 NC~HY\cite{Adloff:2003uh} --- $\delta_{4}$ H1 NC\cite{Adloff:1999ah} --- $\delta_{4}$ H1 NC\cite{Adloff:2003uh} \\ H1 Lumi $94-97$ & $\delta_{5}$ H1 CC\cite{Adloff:1999ah} --- $\delta_{6}$ H1 NC\cite{Adloff:1999ah} \\ H1 Lumi $98-99$ & $\delta_{5}$ H1 CC\cite{Adloff:2000qj} --- $\delta_{6}$ H1 NC\cite{Adloff:2000qj} --- $\delta_{7}$ H1 NC~HY\cite{Adloff:2003uh} \\ H1 Lumi $99-00$ & $\delta_{5}$ H1 CC\cite{Adloff:2003uh} --- $\delta_{7}$ H1 NC\cite{Adloff:2003uh} \\ ZEUS $E'_e$ & $\delta_{1}$ ZEUS NC\cite{Chekanov:2002ej} --- $\delta_{1}$ ZEUS NC\cite{Chekanov:2003yv} \\ ZEUS $E_h$ a & $\delta_{1}$ ZEUS CC\cite{Chekanov:2002zs} --- $\delta_{1}$ ZEUS CC\cite{Chekanov:2003vw} \\ ZEUS $E_h$ b & $\delta_{2}$ ZEUS CC\cite{Chekanov:2002zs} --- $\delta_{2}$ ZEUS CC\cite{Chekanov:2003vw} \\ ZEUS $E_h$ in BCAL & $\delta_{2}$ ZEUS CC\cite{zeuscc97} --- $\delta_{6}$ ZEUS NC\cite{Chekanov:2001qu} \\ ZEUS $E_h$ in FCAL & $\delta_{1}$ ZEUS CC\cite{zeuscc97} --- $\delta_{5}$ ZEUS NC\cite{Chekanov:2001qu} \\ ZEUS $\delta$ cut & $\delta_{8}$ ZEUS BPC\cite{Breitweg:1997hz} --- $\delta_{1}$ ZEUS BPT\cite{Breitweg:2000yn} \\ ZEUS $\gamma p$ background & $\delta_{2}$ ZEUS NC\cite{Chekanov:2002ej} --- $\delta_{2}$ ZEUS NC\cite{Chekanov:2003yv} \\ ZEUS $\gamma p$ background & $\delta_{9}$ ZEUS BPC\cite{Breitweg:1997hz} --- $\delta_{14}$ ZEUS BPT\cite{Breitweg:2000yn} --- $\delta_{8}$ ZEUS SVX\cite{Breitweg:1998dz} \\ ZEUS $y_h$ cut & $\delta_{3}$ ZEUS BPC\cite{Breitweg:1997hz} --- $\delta_{2}$ ZEUS BPT\cite{Breitweg:2000yn} \\ ZEUS BPC linearity & $\delta_{5}$ ZEUS BPC\cite{Breitweg:1997hz} --- $\delta_{9}$ ZEUS BPT\cite{Breitweg:2000yn} \\ ZEUS BPC shower & $\delta_{4}$ ZEUS BPC\cite{Breitweg:1997hz} --- $\delta_{3}$ ZEUS BPT\cite{Breitweg:2000yn} \\ ZEUS CAL energy & $\delta_{2}$ ZEUS BPC\cite{Breitweg:1997hz} --- $\delta_{12}$ ZEUS BPT\cite{Breitweg:2000yn} --- $\delta_{9}$ ZEUS SVX\cite{Breitweg:1998dz} \\ ZEUS Cuts$_1$ & $\delta_{3}$ ZEUS NC\cite{Chekanov:2002ej} --- $\delta_{3}$ ZEUS NC\cite{Chekanov:2003yv} \\ ZEUS Cuts$_2$ & $\delta_{4}$ ZEUS NC\cite{Chekanov:2002ej} --- $\delta_{4}$ ZEUS NC\cite{Chekanov:2003yv} \\ ZEUS HFS model & $\delta_{3}$ ZEUS CC\cite{zeuscc97} --- $\delta_{3}$ ZEUS CC\cite{Chekanov:2002zs} --- $\delta_{6}$ ZEUS NC\cite{Chekanov:2002ej} --- $\delta_{6}$ ZEUS NC\cite{Chekanov:2003yv} --- $\delta_{3}$ ZEUS CC\cite{Chekanov:2003vw} \\ ZEUS Lumi $94-97$ & $\delta_{4}$ ZEUS CC\cite{zeuscc97} --- $\delta_{11}$ ZEUS NC\cite{Chekanov:2001qu} \\ ZEUS Lumi $98-99$ & $\delta_{4}$ ZEUS CC\cite{Chekanov:2002zs} --- $\delta_{7}$ ZEUS NC\cite{Chekanov:2002ej} \\ ZEUS Lumi $99-00$ & $\delta_{9}$ ZEUS NC\cite{Chekanov:2003yv} --- $\delta_{4}$ ZEUS CC\cite{Chekanov:2003vw} \\ \hline \end{tabular} \end{center} \end{scriptsize} \caption{ \label{tab:corel} List of systematic sources that are correlated across the data samples. The type of the systematic uncertainty is given in the ``source'' column. The labels $\delta_i$ denote the sources according to the sequential ordering in the list of the correlated systematic uncertainties of the corresponding publication. An overall $0.5\%$ normalisation uncertainty, common to all data sets, is not included in this list.} \end{table} % \begin{table} \begin{tiny} \begin{center} % \input{tabhead} \begin{tabular}{l|cccccccccccccc} \hline \hline Bin & $Q^2$ & $x$ & $y$ & $\sigma^{+~\rm ave}_{r}$ & $F_2^{\rm ave}$ & $\delta_{\rm ave,stat}$ & $\delta_{\rm ave,uncor}$ & $\delta_{\rm ave,cor}$ & $\delta_{\rm ave,exp~tot}$ & $\delta_{\rm ave,rel}$ & $\delta_{\rm ave,gp}$ & $\delta_{\rm ave,had}$ & $\delta_{\rm ave,tot}$ & $\sqrt{s}$\\ $\#$ & GeV$^2$ & & & & & \% & \% & \% & \% & \% & \% & \% &\% & GeV \\ \hline % \input{tables/p_1_615} $ 1 $ &$ 0.045 $ &$ 0.621 \times 10^{-6}$ & $ 0.803 $ &$ 0.080 $ & --- & $ 5.05 $ &$ 1.50 $ &$ 7.29 $ &$ 8.99$ & $ 2.83$ & $ 2.28$ & $ 1.14$ & $ 9.77$ & $ 301$ \\ $ 2 $ &$ 0.065 $ &$ 0.897 \times 10^{-6}$ & $ 0.803 $ &$ 0.111 $ & --- & $ 2.97 $ &$ 1.50 $ &$ 6.27 $ &$ 7.10$ & $ 2.78$ & $ 2.11$ & $ 1.21$ & $ 8.00$ & $ 301$ \\ $ 3 $ &$ 0.065 $ &$ 0.102 \times 10^{-5}$ & $ 0.706 $ &$ 0.111 $ & --- & $ 4.69 $ &$ 1.50 $ &$ 5.98 $ &$ 7.75$ & $ 3.56$ & $ 1.16$ & $ 1.47$ & $ 8.73$ & $ 301$ \\ $ 4 $ &$ 0.085 $ &$ 0.117 \times 10^{-5}$ & $ 0.805 $ &$ 0.136 $ & --- & $ 2.95 $ &$ 1.50 $ &$ 5.54 $ &$ 6.45$ & $ 2.57$ & $ 2.12$ & $ 1.37$ & $ 7.39$ & $ 301$ \\ $ 5 $ &$ 0.085 $ &$ 0.134 \times 10^{-5}$ & $ 0.703 $ &$ 0.130 $ & --- & $ 2.27 $ &$ 1.50 $ &$ 4.01 $ &$ 4.85$ & $ 1.80$ & $ 1.57$ & $ 1.00$ & $ 5.49$ & $ 301$ \\ $ 6 $ &$ 0.085 $ &$ 0.156 \times 10^{-5}$ & $ 0.604 $ &$ 0.126 $ & --- & $ 4.78 $ &$ 1.50 $ &$ 4.52 $ &$ 6.75$ & $ 1.03$ & $ 0.76$ & $ 0.24$ & $ 6.87$ & $ 301$ \\ $ 7 $ &$ 0.1 $ &$ 0.151 \times 10^{-5}$ & $ 0.808 $ &$ 0.165 $ & --- & $ 3.48 $ &$ 1.50 $ &$ 5.49 $ &$ 6.67$ & $ 3.16$ & $ 1.97$ & $ 1.73$ & $ 7.83$ & $ 301$ \\ $ 8 $ &$ 0.1 $ &$ 0.173 \times 10^{-5}$ & $ 0.705 $ &$ 0.166 $ & --- & $ 1.81 $ &$ 0.99 $ &$ 3.25 $ &$ 3.85$ & $ 2.28$ & $ 1.33$ & $ 0.99$ & $ 4.77$ & $ 301$ \\ $ 9 $ &$ 0.1 $ &$ 0.202 \times 10^{-5}$ & $ 0.604 $ &$ 0.157 $ & --- & $ 1.79 $ &$ 0.89 $ &$ 2.43 $ &$ 3.15$ & $ 1.62$ & $ 0.67$ & $ 0.49$ & $ 3.64$ & $ 301$ \\ $ 10 $ &$ 0.1 $ &$ 0.243 \times 10^{-5}$ & $ 0.502 $ &$ 0.149 $ &$ 0.154 $ &$ 3.75 $ &$ 1.50 $ &$ 3.49 $ &$ 5.34$ & $ 1.11$ & $ 0.46$ & $ 0.20$ & $ 5.48$ & $ 301$ \\ $ 11 $ &$ 0.15 $ &$ 0.207 \times 10^{-5}$ & $ 0.803 $ &$ 0.228 $ & --- & $ 4.35 $ &$ 1.50 $ &$ 4.58 $ &$ 6.49$ & $ 2.37$ & $ 1.94$ & $ 1.75$ & $ 7.39$ & $ 301$ \\ $ 12 $ &$ 0.15 $ &$ 0.236 \times 10^{-5}$ & $ 0.705 $ &$ 0.199 $ & --- & $ 2.01 $ &$ 1.02 $ &$ 3.05 $ &$ 3.79$ & $ 1.71$ & $ 1.60$ & $ 0.74$ & $ 4.52$ & $ 301$ \\ $ 13 $ &$ 0.15 $ &$ 0.276 \times 10^{-5}$ & $ 0.603 $ &$ 0.201 $ & --- & $ 1.62 $ &$ 0.92 $ &$ 2.24 $ &$ 2.91$ & $ 1.40$ & $ 0.87$ & $ 0.38$ & $ 3.37$ & $ 301$ \\ $ 14 $ &$ 0.15 $ &$ 0.331 \times 10^{-5}$ & $ 0.502 $ &$ 0.201 $ &$ 0.207 $ &$ 1.53 $ &$ 0.78 $ &$ 2.10 $ &$ 2.71$ & $ 1.31$ & $ 0.19$ & $ 0.34$ & $ 3.04$ & $ 301$ \\ $ 15 $ &$ 0.15 $ &$ 0.414 \times 10^{-5}$ & $ 0.402 $ &$ 0.187 $ &$ 0.190 $ &$ 1.97 $ &$ 0.83 $ &$ 2.32 $ &$ 3.15$ & $ 0.82$ & $ 0.11$ & $ 0.17$ & $ 3.27$ & $ 301$ \\ $ 16 $ &$ 0.15 $ &$ 0.502 \times 10^{-5}$ & $ 0.295 $ &$ 0.185 $ &$ 0.187 $ &$ 3.79 $ &$ 1.50 $ &$ 3.59 $ &$ 5.43$ & $ 1.33$ & $-0.24$ & $ 0.32$ & $ 5.60$ & $ 319$ \\ $ 17 $ &$ 0.2 $ &$ 0.315 \times 10^{-5}$ & $ 0.704 $ &$ 0.250 $ & --- & $ 2.48 $ &$ 0.94 $ &$ 2.96 $ &$ 3.98$ & $ 1.89$ & $ 1.50$ & $ 0.99$ & $ 4.76$ & $ 301$ \\ $ 18 $ &$ 0.2 $ &$ 0.368 \times 10^{-5}$ & $ 0.603 $ &$ 0.246 $ & --- & $ 1.98 $ &$ 0.94 $ &$ 2.10 $ &$ 3.04$ & $ 1.39$ & $ 0.72$ & $ 0.37$ & $ 3.44$ & $ 301$ \\ $ 19 $ &$ 0.2 $ &$ 0.441 \times 10^{-5}$ & $ 0.503 $ &$ 0.240 $ &$ 0.247 $ &$ 1.62 $ &$ 0.74 $ &$ 1.97 $ &$ 2.66$ & $ 1.15$ & $ 0.36$ & $ 0.17$ & $ 2.92$ & $ 301$ \\ $ 20 $ &$ 0.2 $ &$ 0.552 \times 10^{-5}$ & $ 0.402 $ &$ 0.235 $ &$ 0.240 $ &$ 1.48 $ &$ 0.65 $ &$ 1.84 $ &$ 2.45$ & $ 1.18$ & $ 0.04$ & $ 0.30$ & $ 2.74$ & $ 301$ \\ $ 21 $ &$ 0.2 $ &$ 0.669 \times 10^{-5}$ & $ 0.295 $ &$ 0.227 $ &$ 0.229 $ &$ 1.65 $ &$ 0.78 $ &$ 1.63 $ &$ 2.45$ & $ 0.86$ & $-0.24$ & $ 0.10$ & $ 2.61$ & $ 319$ \\ $ 22 $ &$ 0.2 $ &$ 0.849 \times 10^{-5}$ & $ 0.233 $ &$ 0.224 $ &$ 0.225 $ &$ 1.61 $ &$ 0.61 $ &$ 2.13 $ &$ 2.74$ & $ 1.06$ & $-0.19$ & $ 0.27$ & $ 2.96$ & $ 319$ \\ $ 23 $ &$ 0.2 $ &$ 0.110 \times 10^{-4}$ & $ 0.180 $ &$ 0.208 $ &$ 0.209 $ &$ 2.78 $ &$ 1.50 $ &$ 2.79 $ &$ 4.21$ & $ 0.95$ & $-0.21$ & $ 0.26$ & $ 4.33$ & $ 319$ \\ $ 24 $ &$ 0.2 $ &$ 0.398 \times 10^{-4}$ & $ 0.050 $ &$ 0.211 $ &$ 0.211 $ &$ 14.92 $ &$ 11.94 $ &$ 5.17 $ &$ 19.8$ & $-0.54$ & $-3.10$ & $-4.60$ & $20.57$ & $ 319$ \\ $ 25 $ &$ 0.2 $ &$ 0.251 \times 10^{-3}$ & $ 0.008 $ &$ 0.181 $ &$ 0.181 $ &$ 13.45 $ &$ 6.17 $ &$ 2.96 $ &$ 15.1$ & $-0.03$ & $-1.23$ & $ 2.59$ & $15.36$ & $ 319$ \\ $ 26 $ &$ 0.25 $ &$ 0.394 \times 10^{-5}$ & $ 0.703 $ &$ 0.280 $ & --- & $ 4.09 $ &$ 1.50 $ &$ 2.83 $ &$ 5.19$ & $ 1.78$ & $ 1.28$ & $ 0.89$ & $ 5.71$ & $ 301$ \\ $ 27 $ &$ 0.25 $ &$ 0.460 \times 10^{-5}$ & $ 0.603 $ &$ 0.280 $ & --- & $ 2.09 $ &$ 0.92 $ &$ 2.58 $ &$ 3.44$ & $ 1.67$ & $ 1.27$ & $ 0.36$ & $ 4.05$ & $ 301$ \\ $ 28 $ &$ 0.25 $ &$ 0.552 \times 10^{-5}$ & $ 0.502 $ &$ 0.282 $ &$ 0.291 $ &$ 1.79 $ &$ 0.92 $ &$ 1.87 $ &$ 2.74$ & $ 1.27$ & $ 0.27$ & $ 0.28$ & $ 3.05$ & $ 301$ \\ $ 29 $ &$ 0.25 $ &$ 0.690 \times 10^{-5}$ & $ 0.402 $ &$ 0.276 $ &$ 0.281 $ &$ 1.56 $ &$ 0.79 $ &$ 1.84 $ &$ 2.54$ & $ 1.18$ & $ 0.02$ & $ 0.21$ & $ 2.81$ & $ 301$ \\ $ 30 $ &$ 0.25 $ &$ 0.836 \times 10^{-5}$ & $ 0.295 $ &$ 0.266 $ &$ 0.269 $ &$ 1.45 $ &$ 0.73 $ &$ 1.85 $ &$ 2.46$ & $ 1.17$ & $-0.23$ & $ 0.27$ & $ 2.75$ & $ 319$ \\ $ 31 $ &$ 0.25 $ &$ 0.106 \times 10^{-4}$ & $ 0.233 $ &$ 0.261 $ &$ 0.262 $ &$ 1.29 $ &$ 0.66 $ &$ 1.77 $ &$ 2.29$ & $ 1.16$ & $-0.32$ & $ 0.21$ & $ 2.59$ & $ 319$ \\ $ 32 $ &$ 0.25 $ &$ 0.138 \times 10^{-4}$ & $ 0.179 $ &$ 0.250 $ &$ 0.251 $ &$ 1.26 $ &$ 0.71 $ &$ 1.78 $ &$ 2.30$ & $ 1.22$ & $-0.28$ & $ 0.41$ & $ 2.65$ & $ 319$ \\ $ 33 $ &$ 0.25 $ &$ 0.230 \times 10^{-4}$ & $ 0.107 $ &$ 0.245 $ &$ 0.245 $ &$ 1.40 $ &$ 1.50 $ &$ 2.33 $ &$ 3.11$ & $ 1.92$ & $-0.18$ & $ 1.96$ & $ 4.15$ & $ 319$ \\ $ 34 $ &$ 0.25 $ &$ 0.398 \times 10^{-4}$ & $ 0.062 $ &$ 0.237 $ &$ 0.237 $ &$ 3.32 $ &$ 1.54 $ &$ 2.74 $ &$ 4.57$ & $ 0.79$ & $-0.67$ & $-0.96$ & $ 4.79$ & $ 319$ \\ $ 35 $ &$ 0.25 $ &$ 0.110 \times 10^{-3}$ & $ 0.022 $ &$ 0.200 $ &$ 0.200 $ &$ 3.95 $ &$ 1.50 $ &$ 2.45 $ &$ 4.88$ & $ 0.81$ & $-0.17$ & $-0.04$ & $ 4.95$ & $ 319$ \\ $ 36 $ &$ 0.25 $ &$ 0.251 \times 10^{-3}$ & $ 0.010 $ &$ 0.196 $ &$ 0.196 $ &$ 3.74 $ &$ 1.44 $ &$ 3.23 $ &$ 5.15$ & $-0.17$ & $-0.25$ & $-0.58$ & $ 5.19$ & $ 319$ \\ $ 37 $ &$ 0.25 $ &$ 0.394 \times 10^{-3}$ & $ 0.006 $ &$ 0.195 $ &$ 0.195 $ &$ 4.15 $ &$ 1.50 $ &$ 3.58 $ &$ 5.68$ & $ 1.49$ & $-0.22$ & $ 0.79$ & $ 5.93$ & $ 319$ \\ $ 38 $ &$ 0.25 $ &$ 0.158 \times 10^{-2}$ & $ 0.002 $ &$ 0.199 $ &$ 0.199 $ &$ 10.97 $ &$ 5.29 $ &$ 2.36 $ &$ 12.4$ & $ 0.14$ & $-0.17$ & $ 2.67$ & $12.69$ & $ 301$ \\ $ 39 $ &$ 0.35 $ &$ 0.512 \times 10^{-5}$ & $ 0.758 $ &$ 0.350 $ & --- & $ 3.42 $ &$ 1.50 $ &$ 3.33 $ &$ 5.00$ & $ 1.95$ & $ 0.85$ & $ 0.37$ & $ 5.45$ & $ 301$ \\ $ 40 $ &$ 0.35 $ &$ 0.512 \times 10^{-5}$ & $ 0.675 $ &$ 0.437 $ & --- & $ 22.06 $ &$ 12.78 $ &$ 1.80 $ &$ 25.6$ & $-0.15$ & $-1.02$ & $ 0.68$ & $25.59$ & $ 319$ \\ $ 41 $ &$ 0.35 $ &$ 0.610 \times 10^{-5}$ & $ 0.636 $ &$ 0.358 $ & --- & $ 5.74 $ &$ 11.03 $ &$ 4.78 $ &$ 13.3$ & $ 0.64$ & $ 3.76$ & $ 1.03$ & $13.89$ & $ 301$ \\ $ 42 $ &$ 0.35 $ &$ 0.662 \times 10^{-5}$ & $ 0.586 $ &$ 0.336 $ &$ 0.351 $ &$ 2.07 $ &$ 0.91 $ &$ 1.88 $ &$ 2.94$ & $ 1.20$ & $ 0.41$ & $ 0.33$ & $ 3.22$ & $ 301$ \\ $ 43 $ &$ 0.35 $ &$ 0.828 \times 10^{-5}$ & $ 0.469 $ &$ 0.335 $ &$ 0.344 $ &$ 1.82 $ &$ 0.93 $ &$ 1.90 $ &$ 2.80$ & $ 1.25$ & $-0.07$ & $ 0.21$ & $ 3.07$ & $ 301$ \\ $ 44 $ &$ 0.35 $ &$ 0.100 \times 10^{-4}$ & $ 0.346 $ &$ 0.348 $ &$ 0.353 $ &$ 1.62 $ &$ 0.79 $ &$ 1.73 $ &$ 2.50$ & $ 1.20$ & $-0.28$ & $ 0.29$ & $ 2.80$ & $ 319$ \\ $ 45 $ &$ 0.35 $ &$ 0.127 \times 10^{-4}$ & $ 0.272 $ &$ 0.326 $ &$ 0.329 $ &$ 1.43 $ &$ 0.79 $ &$ 1.80 $ &$ 2.43$ & $ 1.16$ & $-0.29$ & $ 0.20$ & $ 2.72$ & $ 319$ \\ $ 46 $ &$ 0.35 $ &$ 0.165 \times 10^{-4}$ & $ 0.210 $ &$ 0.316 $ &$ 0.317 $ &$ 1.21 $ &$ 0.63 $ &$ 1.82 $ &$ 2.27$ & $ 1.20$ & $-0.28$ & $ 0.26$ & $ 2.59$ & $ 319$ \\ $ 47 $ &$ 0.35 $ &$ 0.320 \times 10^{-4}$ & $ 0.108 $ &$ 0.299 $ &$ 0.299 $ &$ 1.14 $ &$ 0.72 $ &$ 2.51 $ &$ 2.85$ & $ 2.25$ & $-0.39$ & $ 2.05$ & $ 4.19$ & $ 319$ \\ $ 48 $ &$ 0.35 $ &$ 0.662 \times 10^{-4}$ & $ 0.052 $ &$ 0.283 $ &$ 0.284 $ &$ 2.62 $ &$ 1.50 $ &$ 1.65 $ &$ 3.44$ & $ 0.45$ & $-0.24$ & $-0.18$ & $ 3.48$ & $ 319$ \\ $ 49 $ &$ 0.35 $ &$ 0.130 \times 10^{-3}$ & $ 0.027 $ &$ 0.259 $ &$ 0.259 $ &$ 2.52 $ &$ 1.43 $ &$ 1.46 $ &$ 3.24$ & $ 0.75$ & $-0.33$ & $ 0.06$ & $ 3.35$ & $ 319$ \\ $ 50 $ &$ 0.35 $ &$ 0.220 \times 10^{-3}$ & $ 0.016 $ &$ 0.242 $ &$ 0.242 $ &$ 2.67 $ &$ 1.50 $ &$ 1.95 $ &$ 3.63$ & $ 1.11$ & $-0.34$ & $ 0.16$ & $ 3.81$ & $ 319$ \\ $ 51 $ &$ 0.35 $ &$ 0.500 \times 10^{-3}$ & $ 0.007 $ &$ 0.242 $ &$ 0.242 $ &$ 2.51 $ &$ 1.42 $ &$ 1.75 $ &$ 3.37$ & $ 1.31$ & $-0.25$ & $ 1.12$ & $ 3.79$ & $ 319$ \\ $ 52 $ &$ 0.35 $ &$ 0.251 \times 10^{-2}$ & $ 0.001 $ &$ 0.202 $ &$ 0.202 $ &$ 9.97 $ &$ 4.55 $ &$ 1.47 $ &$ 11.1$ & $ 0.35$ & $ 0.16$ & $ 0.77$ & $11.09$ & $ 319$ \\ $ 53 $ &$ 0.4 $ &$ 0.883 \times 10^{-5}$ & $ 0.502 $ &$ 0.354 $ &$ 0.365 $ &$ 3.86 $ &$ 1.50 $ &$ 2.56 $ &$ 4.87$ & $ 1.29$ & $ 0.52$ & $ 0.16$ & $ 5.07$ & $ 301$ \\ $ 54 $ &$ 0.4 $ &$ 0.110 \times 10^{-4}$ & $ 0.403 $ &$ 0.372 $ &$ 0.378 $ &$ 2.18 $ &$ 0.88 $ &$ 2.20 $ &$ 3.22$ & $ 1.48$ & $ 0.04$ & $ 0.22$ & $ 3.55$ & $ 301$ \\ $ 55 $ &$ 0.4 $ &$ 0.133 \times 10^{-4}$ & $ 0.297 $ &$ 0.357 $ &$ 0.360 $ &$ 1.97 $ &$ 0.88 $ &$ 1.98 $ &$ 2.93$ & $ 1.34$ & $-0.27$ & $ 0.29$ & $ 3.25$ & $ 319$ \\ $ 56 $ &$ 0.4 $ &$ 0.170 \times 10^{-4}$ & $ 0.233 $ &$ 0.355 $ &$ 0.357 $ &$ 1.66 $ &$ 0.83 $ &$ 1.81 $ &$ 2.59$ & $ 1.18$ & $-0.31$ & $ 0.09$ & $ 2.86$ & $ 319$ \\ $ 57 $ &$ 0.4 $ &$ 0.220 \times 10^{-4}$ & $ 0.180 $ &$ 0.336 $ &$ 0.337 $ &$ 1.45 $ &$ 0.78 $ &$ 1.80 $ &$ 2.44$ & $ 1.25$ & $-0.32$ & $ 0.42$ & $ 2.79$ & $ 319$ \\ $ 58 $ &$ 0.4 $ &$ 0.368 \times 10^{-4}$ & $ 0.107 $ &$ 0.332 $ &$ 0.333 $ &$ 1.26 $ &$ 0.77 $ &$ 2.49 $ &$ 2.89$ & $ 2.27$ & $-0.33$ & $ 2.14$ & $ 4.27$ & $ 319$ \\ $ 59 $ &$ 0.4 $ &$ 0.883 \times 10^{-4}$ & $ 0.045 $ &$ 0.321 $ &$ 0.321 $ &$ 2.71 $ &$ 1.50 $ &$ 1.49 $ &$ 3.44$ & $ 0.98$ & $-0.26$ & $ 0.41$ & $ 3.61$ & $ 319$ \\ $ 60 $ &$ 0.4 $ &$ 0.176 \times 10^{-3}$ & $ 0.022 $ &$ 0.288 $ &$ 0.288 $ &$ 2.78 $ &$ 1.50 $ &$ 1.70 $ &$ 3.59$ & $ 0.72$ & $-0.32$ & $-0.22$ & $ 3.68$ & $ 319$ \\ $ 61 $ &$ 0.4 $ &$ 0.294 \times 10^{-3}$ & $ 0.013 $ &$ 0.277 $ &$ 0.277 $ &$ 2.74 $ &$ 1.50 $ &$ 1.59 $ &$ 3.51$ & $ 0.99$ & $-0.28$ & $ 0.33$ & $ 3.67$ & $ 319$ \\ $ 62 $ &$ 0.4 $ &$ 0.631 \times 10^{-3}$ & $ 0.006 $ &$ 0.261 $ &$ 0.261 $ &$ 2.74 $ &$ 1.50 $ &$ 2.00 $ &$ 3.71$ & $ 1.28$ & $-0.28$ & $ 0.38$ & $ 3.95$ & $ 319$ \\ \hline \hline \end{tabular} \end{center} \end{tiny} \tablecaption{\label{tab615a1} %\small HERA combined reduced cross section $\sigma^{+ {\rm~ave}}_{r}$ for NC $e^+p$ scattering. $F_2^{\rm ave}$ represents the structure function $F_2$ calculated from $\sigma^{\rm ave}_{r}$ by using the HERAPDF1.0 parametrisation of $\tilde{F}_L, x\tilde{F}_3, F_2^{\gamma Z}$ for $Q^2 \ge 2$~GeV$^2$ and assuming $R\equiv F_L/(F_2-F_L)=0.25$ for $Q^2 < 2$~GeV$^2$. $F_2$ is given for $y<0.6$. $\delta_{\rm ave,stat}$, $\delta_{\rm ave,uncor}$, $\delta_{\rm ave,cor}$ and $\delta_{\rm ave,exp~tot}$ represent the statistical, uncorrelated systematic, correlated systematic and total experimental uncertainty, respectively. $\delta_{\rm ave,rel}$, $\delta_{\rm ave,gp}$ and $\delta_{\rm ave,had}$ are the three correlated sources of uncertainties arising from the combination procedure, see \Sec~\ref{subsubsec:proc_errors}. $\delta_{\rm ave,tot}$ is the total uncertainty calculated by adding $\delta_{\rm ave,exp~tot}$ and the procedural errors in quadrature. The uncertainties are quoted in percent relative to $\sigma^{+ \rm~ave}_{r}$. The overall normalisation uncertainty of $0.5\%$ is not included. } \end{table} \begin{table} \begin{tiny} \begin{center} % \input{tabhead} \begin{tabular}{l|cccccccccccccc} \hline \hline Bin & $Q^2$ & $x$ & $y$ & $\sigma^{+~\rm ave}_{r}$ & $F_2^{\rm ave}$ & $\delta_{\rm ave,stat}$ & $\delta_{\rm ave,uncor}$ & $\delta_{\rm ave,cor}$ & $\delta_{\rm ave,exp~tot}$ & $\delta_{\rm ave,rel}$ & $\delta_{\rm ave,gp}$ & $\delta_{\rm ave,had}$ & $\delta_{\rm ave,tot}$ & $\sqrt{s}$\\ $\#$ & GeV$^2$ & & & & & \% & \% & \% & \% & \% & \% & \% &\% & GeV \\ \hline \hline % \input{tables/p_2_615} $ 63 $ &$ 0.5 $ &$ 0.732 \times 10^{-5}$ & $ 0.675 $ &$ 0.428 $ & --- & $ 5.55 $ &$ 5.73 $ &$ 4.17 $ &$ 9.01$ & $-0.49$ & $-2.46$ & $-0.38$ & $ 9.36$ & $ 319$ \\ $ 64 $ &$ 0.5 $ &$ 0.860 \times 10^{-5}$ & $ 0.645 $ &$ 0.443 $ & --- & $ 3.74 $ &$ 9.17 $ &$ 3.57 $ &$ 10.5$ & $ 0.58$ & $ 2.86$ & $ 0.70$ & $10.95$ & $ 301$ \\ $ 65 $ &$ 0.5 $ &$ 0.158 \times 10^{-4}$ & $ 0.313 $ &$ 0.429 $ &$ 0.433 $ &$ 3.53 $ &$ 1.48 $ &$ 2.33 $ &$ 4.48$ & $ 1.22$ & $-0.17$ & $ 0.14$ & $ 4.65$ & $ 319$ \\ $ 66 $ &$ 0.5 $ &$ 0.212 \times 10^{-4}$ & $ 0.233 $ &$ 0.392 $ &$ 0.394 $ &$ 2.06 $ &$ 0.80 $ &$ 1.95 $ &$ 2.94$ & $ 1.12$ & $-0.25$ & $-0.05$ & $ 3.16$ & $ 319$ \\ $ 67 $ &$ 0.5 $ &$ 0.276 \times 10^{-4}$ & $ 0.179 $ &$ 0.379 $ &$ 0.380 $ &$ 1.71 $ &$ 0.76 $ &$ 1.94 $ &$ 2.69$ & $ 1.35$ & $-0.30$ & $ 0.39$ & $ 3.05$ & $ 319$ \\ $ 68 $ &$ 0.5 $ &$ 0.398 \times 10^{-4}$ & $ 0.124 $ &$ 0.367 $ &$ 0.368 $ &$ 1.48 $ &$ 0.81 $ &$ 2.57 $ &$ 3.07$ & $ 2.32$ & $-0.52$ & $ 2.05$ & $ 4.39$ & $ 319$ \\ $ 69 $ &$ 0.5 $ &$ 0.100 \times 10^{-3}$ & $ 0.049 $ &$ 0.349 $ &$ 0.349 $ &$ 1.74 $ &$ 1.45 $ &$ 1.50 $ &$ 2.71$ & $ 0.69$ & $-0.32$ & $-0.10$ & $ 2.82$ & $ 319$ \\ $ 70 $ &$ 0.5 $ &$ 0.251 \times 10^{-3}$ & $ 0.020 $ &$ 0.308 $ &$ 0.308 $ &$ 1.87 $ &$ 1.43 $ &$ 1.55 $ &$ 2.82$ & $ 0.41$ & $-0.24$ & $-0.36$ & $ 2.88$ & $ 319$ \\ $ 71 $ &$ 0.5 $ &$ 0.368 \times 10^{-3}$ & $ 0.013 $ &$ 0.301 $ &$ 0.301 $ &$ 2.02 $ &$ 1.50 $ &$ 1.61 $ &$ 2.99$ & $ 0.80$ & $-0.23$ & $ 0.16$ & $ 3.10$ & $ 319$ \\ $ 72 $ &$ 0.5 $ &$ 0.800 \times 10^{-3}$ & $ 0.006 $ &$ 0.288 $ &$ 0.288 $ &$ 2.04 $ &$ 1.38 $ &$ 1.46 $ &$ 2.87$ & $ 0.91$ & $-0.18$ & $ 0.49$ & $ 3.05$ & $ 319$ \\ $ 73 $ &$ 0.5 $ &$ 0.320 \times 10^{-2}$ & $ 0.002 $ &$ 0.183 $ &$ 0.183 $ &$ 11.35 $ &$ 6.39 $ &$ 1.23 $ &$ 13.1$ & $ 0.25$ & $ 0.32$ & $ 0.55$ & $13.10$ & $ 301$ \\ $ 74 $ &$ 0.65 $ &$ 0.952 \times 10^{-5}$ & $ 0.675 $ &$ 0.465 $ & --- & $ 4.02 $ &$ 2.90 $ &$ 2.56 $ &$ 5.58$ & $-0.17$ & $-1.33$ & $ 0.23$ & $ 5.74$ & $ 319$ \\ $ 75 $ &$ 0.65 $ &$ 0.112 \times 10^{-4}$ & $ 0.643 $ &$ 0.514 $ & --- & $ 4.25 $ &$ 2.62 $ &$ 2.90 $ &$ 5.77$ & $ 0.86$ & $ 2.58$ & $ 0.69$ & $ 6.42$ & $ 301$ \\ $ 76 $ &$ 0.65 $ &$ 0.158 \times 10^{-4}$ & $ 0.407 $ &$ 0.464 $ &$ 0.472 $ &$ 3.09 $ &$ 5.44 $ &$ 1.51 $ &$ 6.44$ & $ 0.13$ & $-0.01$ & $ 0.55$ & $ 6.46$ & $ 319$ \\ $ 77 $ &$ 0.65 $ &$ 0.164 \times 10^{-4}$ & $ 0.439 $ &$ 0.509 $ &$ 0.520 $ &$ 3.02 $ &$ 7.28 $ &$ 2.37 $ &$ 8.23$ & $ 0.42$ & $ 1.05$ & $ 0.38$ & $ 8.32$ & $ 301$ \\ $ 78 $ &$ 0.65 $ &$ 0.398 \times 10^{-4}$ & $ 0.161 $ &$ 0.475 $ &$ 0.476 $ &$ 2.73 $ &$ 0.68 $ &$ 2.31 $ &$ 3.64$ & $ 1.43$ & $-0.14$ & $ 0.14$ & $ 3.92$ & $ 319$ \\ $ 79 $ &$ 0.65 $ &$ 0.598 \times 10^{-4}$ & $ 0.107 $ &$ 0.420 $ &$ 0.420 $ &$ 1.99 $ &$ 0.74 $ &$ 3.14 $ &$ 3.79$ & $ 2.69$ & $-0.23$ & $ 2.11$ & $ 5.11$ & $ 319$ \\ $ 80 $ &$ 0.65 $ &$ 0.100 \times 10^{-3}$ & $ 0.064 $ &$ 0.410 $ &$ 0.411 $ &$ 2.08 $ &$ 1.47 $ &$ 1.98 $ &$ 3.23$ & $ 1.00$ & $-0.50$ & $ 0.16$ & $ 3.42$ & $ 319$ \\ $ 81 $ &$ 0.65 $ &$ 0.251 \times 10^{-3}$ & $ 0.026 $ &$ 0.362 $ &$ 0.362 $ &$ 2.14 $ &$ 1.39 $ &$ 1.62 $ &$ 3.02$ & $ 0.77$ & $-0.17$ & $ 0.51$ & $ 3.17$ & $ 319$ \\ $ 82 $ &$ 0.65 $ &$ 0.478 \times 10^{-3}$ & $ 0.013 $ &$ 0.333 $ &$ 0.333 $ &$ 2.29 $ &$ 1.50 $ &$ 1.87 $ &$ 3.31$ & $ 0.83$ & $-0.30$ & $ 0.31$ & $ 3.44$ & $ 319$ \\ $ 83 $ &$ 0.65 $ &$ 0.800 \times 10^{-3}$ & $ 0.008 $ &$ 0.319 $ &$ 0.319 $ &$ 2.14 $ &$ 1.35 $ &$ 1.57 $ &$ 2.97$ & $ 0.64$ & $-0.18$ & $ 0.34$ & $ 3.06$ & $ 319$ \\ $ 84 $ &$ 0.65 $ &$ 0.320 \times 10^{-2}$ & $ 0.002 $ &$ 0.225 $ &$ 0.225 $ &$ 5.80 $ &$ 3.18 $ &$ 1.19 $ &$ 6.72$ & $ 0.27$ & $ 0.00$ & $ 0.74$ & $ 6.77$ & $ 319$ \\ $ 85 $ &$ 0.85 $ &$ 0.124 \times 10^{-4}$ & $ 0.677 $ &$ 0.553 $ & --- & $ 2.57 $ &$ 2.52 $ &$ 2.20 $ &$ 4.22$ & $-0.10$ & $-1.01$ & $ 0.01$ & $ 4.34$ & $ 319$ \\ $ 86 $ &$ 0.85 $ &$ 0.138 \times 10^{-4}$ & $ 0.683 $ &$ 0.616 $ & --- & $ 5.20 $ &$ 9.45 $ &$ 5.07 $ &$ 11.9$ & $ 0.72$ & $ 4.08$ & $ 1.06$ & $12.66$ & $ 301$ \\ $ 87 $ &$ 0.85 $ &$ 0.200 \times 10^{-4}$ & $ 0.471 $ &$ 0.602 $ &$ 0.617 $ &$ 2.96 $ &$ 2.12 $ &$ 2.03 $ &$ 4.17$ & $ 0.62$ & $ 1.39$ & $ 0.49$ & $ 4.46$ & $ 301$ \\ $ 88 $ &$ 0.85 $ &$ 0.200 \times 10^{-4}$ & $ 0.420 $ &$ 0.613 $ &$ 0.625 $ &$ 1.95 $ &$ 5.36 $ &$ 1.58 $ &$ 5.92$ & $ 0.25$ & $ 0.31$ & $ 0.54$ & $ 5.96$ & $ 319$ \\ $ 89 $ &$ 0.85 $ &$ 0.398 \times 10^{-4}$ & $ 0.211 $ &$ 0.561 $ &$ 0.564 $ &$ 2.02 $ &$ 1.85 $ &$ 1.75 $ &$ 3.26$ & $ 0.29$ & $ 0.49$ & $ 0.42$ & $ 3.33$ & $ 319$ \\ $ 90 $ &$ 0.85 $ &$ 0.500 \times 10^{-4}$ & $ 0.168 $ &$ 0.544 $ &$ 0.546 $ &$ 2.92 $ &$ 4.52 $ &$ 2.32 $ &$ 5.86$ & $ 0.41$ & $ 0.24$ & $ 0.24$ & $ 5.89$ & $ 319$ \\ $ 91 $ &$ 0.85 $ &$ 0.100 \times 10^{-3}$ & $ 0.084 $ &$ 0.502 $ &$ 0.503 $ &$ 2.65 $ &$ 3.78 $ &$ 3.74 $ &$ 5.94$ & $ 0.17$ & $ 1.73$ & $ 0.08$ & $ 6.19$ & $ 319$ \\ $ 92 $ &$ 0.85 $ &$ 0.251 \times 10^{-3}$ & $ 0.033 $ &$ 0.398 $ &$ 0.399 $ &$ 5.99 $ &$ 2.98 $ &$ 2.29 $ &$ 7.08$ & $-0.01$ & $ 0.73$ & $ 0.83$ & $ 7.16$ & $ 319$ \\ $ 93 $ &$ 0.85 $ &$ 0.800 \times 10^{-3}$ & $ 0.010 $ &$ 0.351 $ &$ 0.351 $ &$ 4.60 $ &$ 2.67 $ &$ 1.40 $ &$ 5.50$ & $ 0.33$ & $ 0.46$ & $ 0.26$ & $ 5.53$ & $ 319$ \\ $ 94 $ &$ 0.85 $ &$ 0.320 \times 10^{-2}$ & $ 0.003 $ &$ 0.309 $ &$ 0.309 $ &$ 4.53 $ &$ 2.83 $ &$ 0.94 $ &$ 5.42$ & $ 0.24$ & $ 0.14$ & $-0.07$ & $ 5.43$ & $ 301$ \\ $ 95 $ &$ 1.2 $ &$ 0.176 \times 10^{-4}$ & $ 0.674 $ &$ 0.591 $ & --- & $ 2.56 $ &$ 2.16 $ &$ 2.60 $ &$ 4.24$ & $-0.19$ & $-0.35$ & $ 0.06$ & $ 4.26$ & $ 319$ \\ $ 96 $ &$ 1.2 $ &$ 0.200 \times 10^{-4}$ & $ 0.665 $ &$ 0.742 $ & --- & $ 3.60 $ &$ 8.36 $ &$ 3.64 $ &$ 9.80$ & $ 0.57$ & $ 2.88$ & $ 0.92$ & $10.27$ & $ 301$ \\ $ 97 $ &$ 1.2 $ &$ 0.200 \times 10^{-4}$ & $ 0.593 $ &$ 0.669 $ &$ 0.699 $ &$ 2.62 $ &$ 2.51 $ &$ 1.31 $ &$ 3.86$ & $ 0.14$ & $-0.13$ & $ 0.60$ & $ 3.91$ & $ 319$ \\ $ 98 $ &$ 1.2 $ &$ 0.320 \times 10^{-4}$ & $ 0.416 $ &$ 0.667 $ &$ 0.680 $ &$ 2.75 $ &$ 1.79 $ &$ 2.02 $ &$ 3.85$ & $ 0.59$ & $ 1.53$ & $ 0.50$ & $ 4.22$ & $ 301$ \\ $ 99 $ &$ 1.2 $ &$ 0.320 \times 10^{-4}$ & $ 0.371 $ &$ 0.688 $ &$ 0.698 $ &$ 1.67 $ &$ 2.73 $ &$ 1.27 $ &$ 3.44$ & $ 0.20$ & $ 0.16$ & $ 0.50$ & $ 3.49$ & $ 319$ \\ $ 100 $ &$ 1.2 $ &$ 0.631 \times 10^{-4}$ & $ 0.188 $ &$ 0.651 $ &$ 0.653 $ &$ 1.39 $ &$ 1.46 $ &$ 1.37 $ &$ 2.44$ & $ 0.38$ & $ 0.47$ & $ 0.44$ & $ 2.55$ & $ 319$ \\ $ 101 $ &$ 1.2 $ &$ 0.800 \times 10^{-4}$ & $ 0.148 $ &$ 0.598 $ &$ 0.600 $ &$ 2.04 $ &$ 1.36 $ &$ 1.85 $ &$ 3.07$ & $ 0.39$ & $ 0.36$ & $ 0.21$ & $ 3.12$ & $ 319$ \\ $ 102 $ &$ 1.2 $ &$ 0.130 \times 10^{-3}$ & $ 0.091 $ &$ 0.545 $ &$ 0.545 $ &$ 2.42 $ &$ 4.97 $ &$ 1.55 $ &$ 5.74$ & $ 0.21$ & $ 0.35$ & $ 0.09$ & $ 5.75$ & $ 319$ \\ $ 103 $ &$ 1.2 $ &$ 0.158 \times 10^{-3}$ & $ 0.075 $ &$ 0.534 $ &$ 0.534 $ &$ 1.54 $ &$ 1.35 $ &$ 1.38 $ &$ 2.48$ & $ 0.69$ & $ 0.54$ & $ 0.37$ & $ 2.65$ & $ 319$ \\ $ 104 $ &$ 1.2 $ &$ 0.398 \times 10^{-3}$ & $ 0.030 $ &$ 0.495 $ &$ 0.495 $ &$ 2.11 $ &$ 3.36 $ &$ 1.30 $ &$ 4.18$ & $ 0.17$ & $ 0.43$ & $ 0.67$ & $ 4.26$ & $ 319$ \\ $ 105 $ &$ 1.2 $ &$ 0.130 \times 10^{-2}$ & $ 0.009 $ &$ 0.374 $ &$ 0.374 $ &$ 3.54 $ &$ 2.67 $ &$ 1.33 $ &$ 4.63$ & $ 0.37$ & $ 0.26$ & $-0.09$ & $ 4.65$ & $ 319$ \\ $ 106 $ &$ 1.2 $ &$ 0.500 \times 10^{-2}$ & $ 0.002 $ &$ 0.299 $ &$ 0.299 $ &$ 4.50 $ &$ 2.61 $ &$ 1.49 $ &$ 5.41$ & $ 0.14$ & $ 0.51$ & $-0.58$ & $ 5.46$ & $ 319$ \\ $ 107 $ &$ 1.5 $ &$ 0.185 \times 10^{-4}$ & $ 0.800 $ &$ 0.602 $ & --- & $ 3.19 $ &$ 3.48 $ &$ 6.12 $ &$ 7.72$ & $-0.26$ & $ 8.31$ & $ 0.08$ & $11.35$ & $ 319$ \\ $ 108 $ &$ 1.5 $ &$ 0.220 \times 10^{-4}$ & $ 0.675 $ &$ 0.695 $ & --- & $ 1.94 $ &$ 1.78 $ &$ 1.69 $ &$ 3.14$ & $ 0.03$ & $ 0.97$ & $ 0.16$ & $ 3.29$ & $ 319$ \\ $ 109 $ &$ 1.5 $ &$ 0.320 \times 10^{-4}$ & $ 0.520 $ &$ 0.821 $ &$ 0.847 $ &$ 1.17 $ &$ 3.20 $ &$ 2.12 $ &$ 4.02$ & $ 0.60$ & $ 5.18$ & $ 0.43$ & $ 6.60$ & $ 301$ \\ $ 110 $ &$ 1.5 $ &$ 0.320 \times 10^{-4}$ & $ 0.463 $ &$ 0.755 $ &$ 0.774 $ &$ 1.73 $ &$ 2.15 $ &$ 1.13 $ &$ 2.98$ & $ 0.17$ & $ 0.20$ & $ 0.41$ & $ 3.02$ & $ 319$ \\ $ 111 $ &$ 1.5 $ &$ 0.500 \times 10^{-4}$ & $ 0.296 $ &$ 0.763 $ &$ 0.770 $ &$ 1.04 $ &$ 1.98 $ &$ 1.07 $ &$ 2.48$ & $ 0.32$ & $ 0.74$ & $ 0.52$ & $ 2.66$ & $ 319$ \\ $ 112 $ &$ 1.5 $ &$ 0.800 \times 10^{-4}$ & $ 0.185 $ &$ 0.702 $ &$ 0.705 $ &$ 1.26 $ &$ 2.15 $ &$ 1.31 $ &$ 2.81$ & $ 0.36$ & $ 0.32$ & $ 0.52$ & $ 2.90$ & $ 319$ \\ $ 113 $ &$ 1.5 $ &$ 0.130 \times 10^{-3}$ & $ 0.114 $ &$ 0.649 $ &$ 0.649 $ &$ 1.46 $ &$ 2.43 $ &$ 1.49 $ &$ 3.20$ & $ 0.35$ & $ 0.46$ & $ 0.54$ & $ 3.30$ & $ 319$ \\ $ 114 $ &$ 1.5 $ &$ 0.200 \times 10^{-3}$ & $ 0.074 $ &$ 0.616 $ &$ 0.616 $ &$ 2.07 $ &$ 2.86 $ &$ 1.59 $ &$ 3.87$ & $ 0.36$ & $ 0.37$ & $-0.01$ & $ 3.91$ & $ 319$ \\ $ 115 $ &$ 1.5 $ &$ 0.320 \times 10^{-3}$ & $ 0.046 $ &$ 0.580 $ &$ 0.580 $ &$ 1.48 $ &$ 2.26 $ &$ 1.55 $ &$ 3.12$ & $ 0.20$ & $ 0.58$ & $ 1.02$ & $ 3.34$ & $ 319$ \\ $ 116 $ &$ 1.5 $ &$ 0.500 \times 10^{-3}$ & $ 0.030 $ &$ 0.550 $ &$ 0.550 $ &$ 2.51 $ &$ 7.05 $ &$ 1.83 $ &$ 7.70$ & $ 0.23$ & $ 0.11$ & $ 0.29$ & $ 7.71$ & $ 319$ \\ $ 117 $ &$ 1.5 $ &$ 0.800 \times 10^{-3}$ & $ 0.019 $ &$ 0.493 $ &$ 0.493 $ &$ 2.36 $ &$ 2.47 $ &$ 1.29 $ &$ 3.65$ & $ 0.34$ & $ 0.38$ & $ 0.11$ & $ 3.69$ & $ 319$ \\ $ 118 $ &$ 1.5 $ &$ 0.100 \times 10^{-2}$ & $ 0.015 $ &$ 0.465 $ &$ 0.465 $ &$ 5.21 $ &$ 3.74 $ &$ 1.31 $ &$ 6.55$ & $ 0.38$ & $ 0.02$ & $ 0.56$ & $ 6.58$ & $ 319$ \\ $ 119 $ &$ 1.5 $ &$ 0.320 \times 10^{-2}$ & $ 0.005 $ &$ 0.412 $ &$ 0.412 $ &$ 2.30 $ &$ 2.04 $ &$ 1.34 $ &$ 3.36$ & $ 0.43$ & $ 0.18$ & $-0.61$ & $ 3.45$ & $ 301$ \\ $ 120 $ &$ 1.5 $ &$ 0.130 \times 10^{-1}$ & $ 0.001 $ &$ 0.324 $ &$ 0.324 $ &$ 4.01 $ &$ 2.49 $ &$ 4.81 $ &$ 6.74$ & $-0.29$ & $ 1.08$ & $-1.42$ & $ 6.98$ & $ 319$ \\ $ 121 $ &$ 2. $ &$ 0.247 \times 10^{-4}$ & $ 0.800 $ &$ 0.766 $ & --- & $ 2.33 $ &$ 2.70 $ &$ 4.62 $ &$ 5.84$ & $-0.03$ & $ 6.20$ & $-0.06$ & $ 8.52$ & $ 319$ \\ $ 122 $ &$ 2. $ &$ 0.293 \times 10^{-4}$ & $ 0.675 $ &$ 0.787 $ & --- & $ 1.49 $ &$ 1.65 $ &$ 1.53 $ &$ 2.70$ & $ 0.06$ & $ 0.93$ & $ 0.02$ & $ 2.86$ & $ 319$ \\ $ 123 $ &$ 2. $ &$ 0.327 \times 10^{-4}$ & $ 0.678 $ &$ 0.855 $ & --- & $ 2.66 $ &$ 2.13 $ &$ 2.86 $ &$ 4.45$ & $ 0.81$ & $ 3.72$ & $ 0.56$ & $ 5.88$ & $ 301$ \\ $ 124 $ &$ 2. $ &$ 0.500 \times 10^{-4}$ & $ 0.443 $ &$ 0.859 $ &$ 0.863 $ &$ 1.31 $ &$ 1.64 $ &$ 1.20 $ &$ 2.42$ & $ 0.44$ & $ 1.55$ & $ 0.39$ & $ 2.93$ & $ 301$ \\ $ 125 $ &$ 2. $ &$ 0.500 \times 10^{-4}$ & $ 0.395 $ &$ 0.825 $ &$ 0.830 $ &$ 1.52 $ &$ 1.93 $ &$ 0.91 $ &$ 2.62$ & $ 0.23$ & $ 0.29$ & $ 0.33$ & $ 2.67$ & $ 319$ \\ $ 126 $ &$ 2. $ &$ 0.800 \times 10^{-4}$ & $ 0.247 $ &$ 0.764 $ &$ 0.765 $ &$ 0.97 $ &$ 1.34 $ &$ 0.89 $ &$ 1.88$ & $ 0.34$ & $ 0.21$ & $ 0.42$ & $ 1.97$ & $ 319$ \\ $ 127 $ &$ 2. $ &$ 0.130 \times 10^{-3}$ & $ 0.152 $ &$ 0.727 $ &$ 0.727 $ &$ 1.10 $ &$ 1.30 $ &$ 0.98 $ &$ 1.97$ & $ 0.32$ & $ 0.17$ & $ 0.31$ & $ 2.03$ & $ 319$ \\ $ 128 $ &$ 2. $ &$ 0.200 \times 10^{-3}$ & $ 0.099 $ &$ 0.684 $ &$ 0.684 $ &$ 1.12 $ &$ 1.32 $ &$ 1.12 $ &$ 2.06$ & $ 0.42$ & $ 0.31$ & $-0.05$ & $ 2.12$ & $ 319$ \\ $ 129 $ &$ 2. $ &$ 0.320 \times 10^{-3}$ & $ 0.062 $ &$ 0.631 $ &$ 0.631 $ &$ 1.01 $ &$ 1.65 $ &$ 1.23 $ &$ 2.29$ & $ 0.27$ & $ 0.13$ & $ 0.38$ & $ 2.34$ & $ 319$ \\ $ 130 $ &$ 2. $ &$ 0.500 \times 10^{-3}$ & $ 0.040 $ &$ 0.578 $ &$ 0.578 $ &$ 1.17 $ &$ 2.04 $ &$ 1.30 $ &$ 2.69$ & $ 0.25$ & $-0.13$ & $ 0.40$ & $ 2.73$ & $ 319$ \\ $ 131 $ &$ 2. $ &$ 0.100 \times 10^{-2}$ & $ 0.020 $ &$ 0.512 $ &$ 0.512 $ &$ 0.98 $ &$ 1.79 $ &$ 1.00 $ &$ 2.28$ & $ 0.28$ & $ 0.08$ & $-0.11$ & $ 2.30$ & $ 319$ \\ $ 132 $ &$ 2. $ &$ 0.320 \times 10^{-2}$ & $ 0.006 $ &$ 0.428 $ &$ 0.428 $ &$ 1.07 $ &$ 1.89 $ &$ 1.40 $ &$ 2.59$ & $ 0.40$ & $ 0.17$ & $-0.84$ & $ 2.76$ & $ 319$ \\ $ 133 $ &$ 2. $ &$ 0.130 \times 10^{-1}$ & $ 0.002 $ &$ 0.358 $ &$ 0.358 $ &$ 2.39 $ &$ 2.13 $ &$ 3.97 $ &$ 5.10$ & $-0.14$ & $ 0.89$ & $-1.21$ & $ 5.32$ & $ 301$ \\ \hline \hline \end{tabular} \end{center} \end{tiny} \tablecaption{\label{tab615a2}Continuation of \Tab~\ref{tab615a1}.} \end{table} \begin{table} \begin{tiny} \begin{center} % \input{tabhead} \begin{tabular}{l|cccccccccccccc} \hline \hline Bin & $Q^2$ & $x$ & $y$ & $\sigma^{+~\rm ave}_{r}$ & $F_2^{\rm ave}$ & $\delta_{\rm ave,stat}$ & $\delta_{\rm ave,uncor}$ & $\delta_{\rm ave,cor}$ & $\delta_{\rm ave,exp~tot}$ & $\delta_{\rm ave,rel}$ & $\delta_{\rm ave,gp}$ & $\delta_{\rm ave,had}$ & $\delta_{\rm ave,tot}$ & $\sqrt{s}$\\ $\#$ & GeV$^2$ & & & & & \% & \% & \% & \% & \% & \% & \% &\% & GeV \\ \hline % \input{tables/p_3_615} $ 134 $ &$ 2.7 $ &$ 0.309 \times 10^{-4}$ & $ 0.864 $ &$ 0.855 $ & --- & $ 2.47 $ &$ 2.67 $ &$ 3.33 $ &$ 4.93$ & $ 0.06$ & $ 4.62$ & $ 0.25$ & $ 6.76$ & $ 319$ \\ $ 135 $ &$ 2.7 $ &$ 0.366 \times 10^{-4}$ & $ 0.729 $ &$ 0.881 $ & --- & $ 2.29 $ &$ 2.29 $ &$ 1.72 $ &$ 3.67$ & $ 0.09$ & $ 2.19$ & $ 0.05$ & $ 4.27$ & $ 319$ \\ $ 136 $ &$ 2.7 $ &$ 0.409 \times 10^{-4}$ & $ 0.732 $ &$ 0.975 $ & --- & $ 1.54 $ &$ 6.21 $ &$ 1.93 $ &$ 6.68$ & $ 0.57$ & $ 4.64$ & $ 0.61$ & $ 8.18$ & $ 301$ \\ $ 137 $ &$ 2.7 $ &$ 0.500 \times 10^{-4}$ & $ 0.599 $ &$ 0.894 $ &$ 0.913 $ &$ 1.06 $ &$ 1.27 $ &$ 1.30 $ &$ 2.11$ & $ 0.77$ & $ 2.43$ & $ 0.54$ & $ 3.35$ & $ 301$ \\ $ 138 $ &$ 2.7 $ &$ 0.500 \times 10^{-4}$ & $ 0.534 $ &$ 0.882 $ &$ 0.901 $ &$ 1.51 $ &$ 1.65 $ &$ 0.93 $ &$ 2.42$ & $ 0.17$ & $ 0.41$ & $ 0.10$ & $ 2.46$ & $ 319$ \\ $ 139 $ &$ 2.7 $ &$ 0.800 \times 10^{-4}$ & $ 0.374 $ &$ 0.892 $ &$ 0.899 $ &$ 3.28 $ &$ 1.00 $ &$ 1.81 $ &$ 3.87$ & $ 0.39$ & $ 0.65$ & $ 0.75$ & $ 4.02$ & $ 301$ \\ $ 140 $ &$ 2.7 $ &$ 0.800 \times 10^{-4}$ & $ 0.333 $ &$ 0.886 $ &$ 0.892 $ &$ 0.72 $ &$ 1.03 $ &$ 0.73 $ &$ 1.45$ & $ 0.29$ & $ 0.40$ & $ 0.30$ & $ 1.56$ & $ 319$ \\ $ 141 $ &$ 2.7 $ &$ 0.130 \times 10^{-3}$ & $ 0.205 $ &$ 0.804 $ &$ 0.806 $ &$ 0.62 $ &$ 0.87 $ &$ 0.69 $ &$ 1.28$ & $ 0.40$ & $-0.02$ & $ 0.24$ & $ 1.36$ & $ 319$ \\ $ 142 $ &$ 2.7 $ &$ 0.200 \times 10^{-3}$ & $ 0.133 $ &$ 0.780 $ &$ 0.780 $ &$ 0.76 $ &$ 1.61 $ &$ 0.83 $ &$ 1.96$ & $ 0.30$ & $ 0.28$ & $ 0.10$ & $ 2.01$ & $ 319$ \\ $ 143 $ &$ 2.7 $ &$ 0.320 \times 10^{-3}$ & $ 0.083 $ &$ 0.702 $ &$ 0.702 $ &$ 0.84 $ &$ 1.27 $ &$ 0.86 $ &$ 1.75$ & $ 0.44$ & $ 0.20$ & $ 0.09$ & $ 1.82$ & $ 319$ \\ $ 144 $ &$ 2.7 $ &$ 0.500 \times 10^{-3}$ & $ 0.053 $ &$ 0.647 $ &$ 0.647 $ &$ 0.69 $ &$ 1.35 $ &$ 0.96 $ &$ 1.79$ & $ 0.33$ & $ 0.06$ & $ 0.30$ & $ 1.84$ & $ 319$ \\ $ 145 $ &$ 2.7 $ &$ 0.800 \times 10^{-3}$ & $ 0.033 $ &$ 0.596 $ &$ 0.596 $ &$ 0.87 $ &$ 1.84 $ &$ 0.80 $ &$ 2.19$ & $ 0.28$ & $ 0.10$ & $ 0.20$ & $ 2.22$ & $ 319$ \\ $ 146 $ &$ 2.7 $ &$ 0.130 \times 10^{-2}$ & $ 0.021 $ &$ 0.570 $ &$ 0.570 $ &$ 0.68 $ &$ 1.63 $ &$ 0.90 $ &$ 1.98$ & $ 0.33$ & $ 0.04$ & $-0.16$ & $ 2.02$ & $ 319$ \\ $ 147 $ &$ 2.7 $ &$ 0.200 \times 10^{-2}$ & $ 0.013 $ &$ 0.484 $ &$ 0.484 $ &$ 0.90 $ &$ 2.74 $ &$ 0.90 $ &$ 3.02$ & $ 0.22$ & $ 0.16$ & $ 0.33$ & $ 3.05$ & $ 319$ \\ $ 148 $ &$ 2.7 $ &$ 0.500 \times 10^{-2}$ & $ 0.005 $ &$ 0.460 $ &$ 0.460 $ &$ 0.74 $ &$ 1.82 $ &$ 1.37 $ &$ 2.40$ & $ 0.38$ & $ 0.24$ & $-0.90$ & $ 2.60$ & $ 319$ \\ $ 149 $ &$ 2.7 $ &$ 0.200 \times 10^{-1}$ & $ 0.001 $ &$ 0.358 $ &$ 0.358 $ &$ 2.54 $ &$ 2.45 $ &$ 7.39 $ &$ 8.19$ & $-0.52$ & $ 1.25$ & $-1.80$ & $ 8.49$ & $ 319$ \\ $ 150 $ &$ 3.5 $ &$ 0.432 \times 10^{-4}$ & $ 0.800 $ &$ 0.868 $ & --- & $ 3.10 $ &$ 2.83 $ &$ 3.74 $ &$ 5.63$ & $-0.07$ & $ 4.91$ & $-0.32$ & $ 7.48$ & $ 319$ \\ $ 151 $ &$ 3.5 $ &$ 0.512 \times 10^{-4}$ & $ 0.675 $ &$ 0.937 $ & --- & $ 2.17 $ &$ 2.25 $ &$ 1.66 $ &$ 3.54$ & $ 0.10$ & $ 2.04$ & $-0.01$ & $ 4.09$ & $ 319$ \\ $ 152 $ &$ 3.5 $ &$ 0.573 \times 10^{-4}$ & $ 0.677 $ &$ 1.017 $ & --- & $ 1.94 $ &$ 3.35 $ &$ 2.64 $ &$ 4.69$ & $ 1.16$ & $ 4.70$ & $ 0.56$ & $ 6.76$ & $ 301$ \\ $ 153 $ &$ 3.5 $ &$ 0.800 \times 10^{-4}$ & $ 0.485 $ &$ 0.979 $ &$ 0.997 $ &$ 0.98 $ &$ 1.22 $ &$ 1.02 $ &$ 1.87$ & $ 0.37$ & $ 1.71$ & $ 0.43$ & $ 2.59$ & $ 301$ \\ $ 154 $ &$ 3.5 $ &$ 0.800 \times 10^{-4}$ & $ 0.432 $ &$ 0.954 $ &$ 0.972 $ &$ 1.26 $ &$ 1.67 $ &$ 0.80 $ &$ 2.24$ & $ 0.21$ & $ 0.37$ & $ 0.14$ & $ 2.28$ & $ 319$ \\ $ 155 $ &$ 3.5 $ &$ 0.130 \times 10^{-3}$ & $ 0.266 $ &$ 0.922 $ &$ 0.928 $ &$ 0.66 $ &$ 0.86 $ &$ 0.67 $ &$ 1.27$ & $ 0.27$ & $ 0.14$ & $ 0.26$ & $ 1.33$ & $ 319$ \\ $ 156 $ &$ 3.5 $ &$ 0.200 \times 10^{-3}$ & $ 0.173 $ &$ 0.858 $ &$ 0.860 $ &$ 0.68 $ &$ 0.83 $ &$ 0.69 $ &$ 1.28$ & $ 0.27$ & $-0.09$ & $ 0.21$ & $ 1.32$ & $ 319$ \\ $ 157 $ &$ 3.5 $ &$ 0.320 \times 10^{-3}$ & $ 0.108 $ &$ 0.795 $ &$ 0.796 $ &$ 0.72 $ &$ 0.88 $ &$ 0.75 $ &$ 1.36$ & $ 0.44$ & $ 0.17$ & $ 0.04$ & $ 1.44$ & $ 319$ \\ $ 158 $ &$ 3.5 $ &$ 0.500 \times 10^{-3}$ & $ 0.069 $ &$ 0.754 $ &$ 0.754 $ &$ 0.75 $ &$ 1.17 $ &$ 0.77 $ &$ 1.59$ & $ 0.24$ & $ 0.14$ & $ 0.33$ & $ 1.65$ & $ 319$ \\ $ 159 $ &$ 3.5 $ &$ 0.800 \times 10^{-3}$ & $ 0.043 $ &$ 0.663 $ &$ 0.663 $ &$ 0.67 $ &$ 1.16 $ &$ 0.80 $ &$ 1.56$ & $ 0.23$ & $-0.22$ & $ 0.24$ & $ 1.61$ & $ 319$ \\ $ 160 $ &$ 3.5 $ &$ 0.130 \times 10^{-2}$ & $ 0.027 $ &$ 0.627 $ &$ 0.627 $ &$ 0.87 $ &$ 1.38 $ &$ 0.86 $ &$ 1.84$ & $ 0.29$ & $ 0.20$ & $ 0.17$ & $ 1.88$ & $ 319$ \\ $ 161 $ &$ 3.5 $ &$ 0.200 \times 10^{-2}$ & $ 0.017 $ &$ 0.571 $ &$ 0.571 $ &$ 0.51 $ &$ 0.87 $ &$ 0.73 $ &$ 1.24$ & $ 0.33$ & $ 0.03$ & $ 0.15$ & $ 1.30$ & $ 319$ \\ $ 162 $ &$ 3.5 $ &$ 0.800 \times 10^{-2}$ & $ 0.004 $ &$ 0.463 $ &$ 0.463 $ &$ 0.59 $ &$ 1.12 $ &$ 1.03 $ &$ 1.64$ & $ 0.38$ & $ 0.13$ & $ 0.00$ & $ 1.68$ & $ 319$ \\ $ 163 $ &$ 4.5 $ &$ 0.618 \times 10^{-4}$ & $ 0.720 $ &$ 0.957 $ & --- & $ 3.13 $ &$ 2.78 $ &$ 3.52 $ &$ 5.47$ & $ 0.16$ & $ 4.80$ & $ 0.70$ & $ 7.32$ & $ 319$ \\ $ 164 $ &$ 4.5 $ &$ 0.732 \times 10^{-4}$ & $ 0.607 $ &$ 1.018 $ & --- & $ 1.60 $ &$ 2.21 $ &$ 1.11 $ &$ 2.94$ & $ 0.13$ & $ 1.06$ & $-0.01$ & $ 3.13$ & $ 319$ \\ $ 165 $ &$ 4.5 $ &$ 0.818 \times 10^{-4}$ & $ 0.610 $ &$ 1.118 $ & --- & $ 1.60 $ &$ 1.06 $ &$ 1.45 $ &$ 2.40$ & $ 0.84$ & $ 2.58$ & $ 0.61$ & $ 3.67$ & $ 301$ \\ $ 166 $ &$ 4.5 $ &$ 0.130 \times 10^{-3}$ & $ 0.384 $ &$ 1.015 $ &$ 1.029 $ &$ 1.02 $ &$ 1.68 $ &$ 0.81 $ &$ 2.12$ & $ 0.31$ & $ 0.61$ & $ 0.35$ & $ 2.26$ & $ 301$ \\ $ 167 $ &$ 4.5 $ &$ 0.130 \times 10^{-3}$ & $ 0.342 $ &$ 1.031 $ &$ 1.045 $ &$ 1.30 $ &$ 1.00 $ &$ 0.70 $ &$ 1.78$ & $ 0.30$ & $ 0.33$ & $ 0.21$ & $ 1.85$ & $ 319$ \\ $ 168 $ &$ 4.5 $ &$ 0.200 \times 10^{-3}$ & $ 0.222 $ &$ 0.967 $ &$ 0.972 $ &$ 0.74 $ &$ 0.91 $ &$ 0.71 $ &$ 1.37$ & $ 0.32$ & $-0.02$ & $ 0.25$ & $ 1.42$ & $ 319$ \\ $ 169 $ &$ 4.5 $ &$ 0.320 \times 10^{-3}$ & $ 0.139 $ &$ 0.898 $ &$ 0.899 $ &$ 0.80 $ &$ 0.96 $ &$ 0.66 $ &$ 1.41$ & $ 0.22$ & $ 0.00$ & $ 0.14$ & $ 1.44$ & $ 319$ \\ $ 170 $ &$ 4.5 $ &$ 0.500 \times 10^{-3}$ & $ 0.089 $ &$ 0.800 $ &$ 0.801 $ &$ 0.83 $ &$ 0.88 $ &$ 0.74 $ &$ 1.42$ & $ 0.46$ & $-0.02$ & $ 0.25$ & $ 1.52$ & $ 319$ \\ $ 171 $ &$ 4.5 $ &$ 0.800 \times 10^{-3}$ & $ 0.056 $ &$ 0.724 $ &$ 0.724 $ &$ 0.82 $ &$ 1.29 $ &$ 0.76 $ &$ 1.70$ & $ 0.22$ & $-0.11$ & $ 0.16$ & $ 1.73$ & $ 319$ \\ $ 172 $ &$ 4.5 $ &$ 0.130 \times 10^{-2}$ & $ 0.034 $ &$ 0.669 $ &$ 0.669 $ &$ 0.85 $ &$ 1.31 $ &$ 0.87 $ &$ 1.78$ & $ 0.26$ & $ 0.00$ & $ 0.09$ & $ 1.80$ & $ 319$ \\ $ 173 $ &$ 4.5 $ &$ 0.200 \times 10^{-2}$ & $ 0.022 $ &$ 0.618 $ &$ 0.618 $ &$ 0.88 $ &$ 1.31 $ &$ 0.79 $ &$ 1.77$ & $ 0.20$ & $-0.34$ & $ 0.24$ & $ 1.83$ & $ 319$ \\ $ 174 $ &$ 4.5 $ &$ 0.320 \times 10^{-2}$ & $ 0.014 $ &$ 0.575 $ &$ 0.575 $ &$ 0.67 $ &$ 1.23 $ &$ 0.86 $ &$ 1.64$ & $ 0.28$ & $ 0.10$ & $ 0.29$ & $ 1.70$ & $ 319$ \\ $ 175 $ &$ 4.5 $ &$ 0.130 \times 10^{-1}$ & $ 0.003 $ &$ 0.432 $ &$ 0.432 $ &$ 0.71 $ &$ 1.86 $ &$ 1.46 $ &$ 2.46$ & $ 0.25$ & $ 0.34$ & $ 0.74$ & $ 2.61$ & $ 319$ \\ $ 176 $ &$ 6.5 $ &$ 0.803 \times 10^{-4}$ & $ 0.800 $ &$ 1.078 $ & --- & $ 3.11 $ &$ 2.64 $ &$ 2.44 $ &$ 4.76$ & $ 0.08$ & $ 3.33$ & $ 0.12$ & $ 5.81$ & $ 319$ \\ $ 177 $ &$ 6.5 $ &$ 0.951 \times 10^{-4}$ & $ 0.757 $ &$ 1.165 $ & --- & $ 2.41 $ &$ 0.99 $ &$ 2.80 $ &$ 3.82$ & $ 0.70$ & $ 4.23$ & $ 0.47$ & $ 5.76$ & $ 301$ \\ $ 178 $ &$ 6.5 $ &$ 0.951 \times 10^{-4}$ & $ 0.675 $ &$ 1.050 $ & --- & $ 2.96 $ &$ 2.31 $ &$ 1.64 $ &$ 4.10$ & $ 0.09$ & $ 2.09$ & $ 0.03$ & $ 4.60$ & $ 319$ \\ $ 179 $ &$ 6.5 $ &$ 0.130 \times 10^{-3}$ & $ 0.554 $ &$ 1.180 $ &$ 1.227 $ &$ 1.11 $ &$ 0.60 $ &$ 1.04 $ &$ 1.63$ & $ 0.43$ & $ 1.84$ & $ 0.39$ & $ 2.53$ & $ 301$ \\ $ 180 $ &$ 6.5 $ &$ 0.130 \times 10^{-3}$ & $ 0.494 $ &$ 1.122 $ &$ 1.167 $ &$ 1.67 $ &$ 2.22 $ &$ 0.83 $ &$ 2.90$ & $ 0.17$ & $ 0.20$ & $ 0.01$ & $ 2.91$ & $ 319$ \\ $ 181 $ &$ 6.5 $ &$ 0.200 \times 10^{-3}$ & $ 0.360 $ &$ 1.118 $ &$ 1.134 $ &$ 1.15 $ &$ 1.41 $ &$ 0.78 $ &$ 1.98$ & $ 0.32$ & $ 0.29$ & $ 0.41$ & $ 2.07$ & $ 301$ \\ $ 182 $ &$ 6.5 $ &$ 0.200 \times 10^{-3}$ & $ 0.321 $ &$ 1.131 $ &$ 1.147 $ &$ 1.08 $ &$ 0.63 $ &$ 0.69 $ &$ 1.43$ & $ 0.20$ & $ 0.29$ & $ 0.24$ & $ 1.49$ & $ 319$ \\ $ 183 $ &$ 6.5 $ &$ 0.320 \times 10^{-3}$ & $ 0.201 $ &$ 1.006 $ &$ 1.010 $ &$ 0.78 $ &$ 0.73 $ &$ 0.67 $ &$ 1.26$ & $ 0.25$ & $-0.18$ & $ 0.10$ & $ 1.31$ & $ 319$ \\ $ 184 $ &$ 6.5 $ &$ 0.500 \times 10^{-3}$ & $ 0.128 $ &$ 0.938 $ &$ 0.939 $ &$ 0.74 $ &$ 1.16 $ &$ 0.73 $ &$ 1.56$ & $ 0.22$ & $ 0.17$ & $ 0.13$ & $ 1.59$ & $ 319$ \\ $ 185 $ &$ 6.5 $ &$ 0.800 \times 10^{-3}$ & $ 0.080 $ &$ 0.857 $ &$ 0.857 $ &$ 0.79 $ &$ 0.89 $ &$ 0.73 $ &$ 1.40$ & $ 0.36$ & $ 0.01$ & $ 0.30$ & $ 1.47$ & $ 319$ \\ $ 186 $ &$ 6.5 $ &$ 0.130 \times 10^{-2}$ & $ 0.049 $ &$ 0.761 $ &$ 0.761 $ &$ 0.80 $ &$ 1.08 $ &$ 0.72 $ &$ 1.52$ & $ 0.21$ & $-0.02$ & $ 0.11$ & $ 1.54$ & $ 319$ \\ $ 187 $ &$ 6.5 $ &$ 0.200 \times 10^{-2}$ & $ 0.032 $ &$ 0.699 $ &$ 0.699 $ &$ 0.75 $ &$ 0.87 $ &$ 0.69 $ &$ 1.34$ & $ 0.11$ & $-0.05$ & $ 0.30$ & $ 1.38$ & $ 319$ \\ $ 188 $ &$ 6.5 $ &$ 0.320 \times 10^{-2}$ & $ 0.020 $ &$ 0.644 $ &$ 0.644 $ &$ 0.67 $ &$ 1.20 $ &$ 0.83 $ &$ 1.61$ & $ 0.25$ & $ 0.07$ & $ 0.11$ & $ 1.63$ & $ 319$ \\ $ 189 $ &$ 6.5 $ &$ 0.500 \times 10^{-2}$ & $ 0.013 $ &$ 0.581 $ &$ 0.581 $ &$ 0.94 $ &$ 0.85 $ &$ 0.89 $ &$ 1.54$ & $ 0.16$ & $ 0.05$ & $ 0.28$ & $ 1.58$ & $ 319$ \\ $ 190 $ &$ 6.5 $ &$ 0.130 \times 10^{-1}$ & $ 0.005 $ &$ 0.485 $ &$ 0.485 $ &$ 0.68 $ &$ 1.82 $ &$ 1.25 $ &$ 2.31$ & $ 0.24$ & $ 0.24$ & $ 0.81$ & $ 2.47$ & $ 319$ \\ $ 191 $ &$ 6.5 $ &$ 0.200 \times 10^{-1}$ & $ 0.003 $ &$ 0.497 $ &$ 0.497 $ &$ 1.14 $ &$ 1.89 $ &$ 1.59 $ &$ 2.72$ & $ 0.26$ & $-0.03$ & $ 0.39$ & $ 2.76$ & $ 319$ \\ $ 192 $ &$ 8.5 $ &$ 0.105 \times 10^{-3}$ & $ 0.800 $ &$ 1.178 $ & --- & $ 3.72 $ &$ 2.80 $ &$ 2.14 $ &$ 5.13$ & $ 0.10$ & $ 2.88$ & $ 0.45$ & $ 5.90$ & $ 319$ \\ $ 193 $ &$ 8.5 $ &$ 0.124 \times 10^{-3}$ & $ 0.675 $ &$ 1.209 $ & --- & $ 2.26 $ &$ 2.28 $ &$ 1.05 $ &$ 3.38$ & $ 0.12$ & $ 0.92$ & $-0.04$ & $ 3.50$ & $ 319$ \\ $ 194 $ &$ 8.5 $ &$ 0.139 \times 10^{-3}$ & $ 0.678 $ &$ 1.181 $ & --- & $ 1.59 $ &$ 1.25 $ &$ 2.32 $ &$ 3.08$ & $ 0.84$ & $ 5.61$ & $ 0.51$ & $ 6.47$ & $ 301$ \\ $ 195 $ &$ 8.5 $ &$ 0.200 \times 10^{-3}$ & $ 0.471 $ &$ 1.221 $ &$ 1.258 $ &$ 1.07 $ &$ 0.81 $ &$ 0.83 $ &$ 1.58$ & $ 0.31$ & $ 1.07$ & $ 0.27$ & $ 1.95$ & $ 301$ \\ $ 196 $ &$ 8.5 $ &$ 0.200 \times 10^{-3}$ & $ 0.420 $ &$ 1.178 $ &$ 1.213 $ &$ 1.52 $ &$ 2.22 $ &$ 0.79 $ &$ 2.80$ & $ 0.18$ & $ 0.03$ & $-0.01$ & $ 2.81$ & $ 319$ \\ $ 197 $ &$ 8.5 $ &$ 0.320 \times 10^{-3}$ & $ 0.262 $ &$ 1.115 $ &$ 1.126 $ &$ 0.85 $ &$ 0.84 $ &$ 0.66 $ &$ 1.36$ & $ 0.32$ & $-0.05$ & $ 0.16$ & $ 1.41$ & $ 319$ \\ $ 198 $ &$ 8.5 $ &$ 0.500 \times 10^{-3}$ & $ 0.168 $ &$ 1.022 $ &$ 1.026 $ &$ 0.81 $ &$ 0.93 $ &$ 0.67 $ &$ 1.40$ & $ 0.22$ & $-0.19$ & $ 0.15$ & $ 1.44$ & $ 319$ \\ $ 199 $ &$ 8.5 $ &$ 0.800 \times 10^{-3}$ & $ 0.105 $ &$ 0.936 $ &$ 0.937 $ &$ 0.88 $ &$ 0.80 $ &$ 0.69 $ &$ 1.38$ & $ 0.23$ & $-0.03$ & $ 0.09$ & $ 1.40$ & $ 319$ \\ $ 200 $ &$ 8.5 $ &$ 0.130 \times 10^{-2}$ & $ 0.065 $ &$ 0.844 $ &$ 0.845 $ &$ 0.91 $ &$ 0.83 $ &$ 0.68 $ &$ 1.41$ & $ 0.23$ & $ 0.02$ & $ 0.25$ & $ 1.45$ & $ 319$ \\ $ 201 $ &$ 8.5 $ &$ 0.200 \times 10^{-2}$ & $ 0.042 $ &$ 0.773 $ &$ 0.773 $ &$ 0.98 $ &$ 1.32 $ &$ 0.76 $ &$ 1.81$ & $ 0.19$ & $-0.02$ & $ 0.14$ & $ 1.83$ & $ 319$ \\ $ 202 $ &$ 8.5 $ &$ 0.320 \times 10^{-2}$ & $ 0.026 $ &$ 0.664 $ &$ 0.664 $ &$ 1.03 $ &$ 1.33 $ &$ 0.82 $ &$ 1.87$ & $ 0.17$ & $-0.22$ & $ 0.27$ & $ 1.91$ & $ 319$ \\ $ 203 $ &$ 8.5 $ &$ 0.500 \times 10^{-2}$ & $ 0.017 $ &$ 0.635 $ &$ 0.635 $ &$ 0.76 $ &$ 1.25 $ &$ 0.80 $ &$ 1.67$ & $ 0.25$ & $ 0.03$ & $ 0.37$ & $ 1.73$ & $ 319$ \\ $ 204 $ &$ 8.5 $ &$ 0.200 \times 10^{-1}$ & $ 0.004 $ &$ 0.458 $ &$ 0.458 $ &$ 0.82 $ &$ 1.85 $ &$ 1.58 $ &$ 2.57$ & $ 0.14$ & $ 0.42$ & $ 0.44$ & $ 2.64$ & $ 319$ \\ \hline \hline \end{tabular} \end{center} \end{tiny} \tablecaption{\label{tab615a3}Continuation of \Tab~\ref{tab615a1}.} \end{table} \begin{table} \begin{tiny} \begin{center} % \input{tabhead} \begin{tabular}{l|cccccccccccccc} \hline \hline Bin & $Q^2$ & $x$ & $y$ & $\sigma^{+~\rm ave}_{r}$ & $F_2^{\rm ave}$ & $\delta_{\rm ave,stat}$ & $\delta_{\rm ave,uncor}$ & $\delta_{\rm ave,cor}$ & $\delta_{\rm ave,exp~tot}$ & $\delta_{\rm ave,rel}$ & $\delta_{\rm ave,gp}$ & $\delta_{\rm ave,had}$ & $\delta_{\rm ave,tot}$ & $\sqrt{s}$\\ $\#$ & GeV$^2$ & & & & & \% & \% & \% & \% & \% & \% & \% &\% & GeV \\ \hline % \input{tables/p_4_615} $ 205 $ &$ 10. $ &$ 0.130 \times 10^{-3}$ & $ 0.853 $ &$ 1.141 $ & --- & $ 4.39 $ &$ 1.41 $ &$ 3.68 $ &$ 5.90$ & $ 1.21$ & $ 4.94$ & $ 0.71$ & $ 7.83$ & $ 301$ \\ $ 206 $ &$ 10. $ &$ 0.200 \times 10^{-3}$ & $ 0.554 $ &$ 1.248 $ &$ 1.306 $ &$ 2.10 $ &$ 1.33 $ &$ 1.34 $ &$ 2.83$ & $ 0.57$ & $ 1.54$ & $ 0.23$ & $ 3.28$ & $ 301$ \\ $ 207 $ &$ 10. $ &$ 0.320 \times 10^{-3}$ & $ 0.309 $ &$ 1.153 $ &$ 1.169 $ &$ 1.90 $ &$ 1.12 $ &$ 0.84 $ &$ 2.36$ & $ 0.37$ & $ 0.28$ & $-0.03$ & $ 2.41$ & $ 319$ \\ $ 208 $ &$ 10. $ &$ 0.500 \times 10^{-3}$ & $ 0.198 $ &$ 1.069 $ &$ 1.074 $ &$ 1.77 $ &$ 1.19 $ &$ 0.76 $ &$ 2.26$ & $ 0.17$ & $-0.06$ & $-0.22$ & $ 2.28$ & $ 319$ \\ $ 209 $ &$ 10. $ &$ 0.800 \times 10^{-3}$ & $ 0.124 $ &$ 0.983 $ &$ 0.985 $ &$ 1.83 $ &$ 1.31 $ &$ 0.73 $ &$ 2.37$ & $ 0.20$ & $-0.11$ & $-0.09$ & $ 2.38$ & $ 319$ \\ $ 210 $ &$ 10. $ &$ 0.130 \times 10^{-2}$ & $ 0.076 $ &$ 0.898 $ &$ 0.899 $ &$ 2.11 $ &$ 1.21 $ &$ 0.93 $ &$ 2.61$ & $-0.01$ & $ 0.01$ & $-0.03$ & $ 2.61$ & $ 319$ \\ $ 211 $ &$ 10. $ &$ 0.200 \times 10^{-2}$ & $ 0.049 $ &$ 0.809 $ &$ 0.809 $ &$ 2.03 $ &$ 1.77 $ &$ 0.80 $ &$ 2.81$ & $ 0.23$ & $ 0.04$ & $ 0.39$ & $ 2.85$ & $ 319$ \\ $ 212 $ &$ 10. $ &$ 0.500 \times 10^{-2}$ & $ 0.020 $ &$ 0.633 $ &$ 0.633 $ &$ 1.11 $ &$ 0.77 $ &$ 0.82 $ &$ 1.58$ & $ 0.19$ & $ 0.02$ & $ 0.47$ & $ 1.66$ & $ 319$ \\ $ 213 $ &$ 10. $ &$ 0.200 \times 10^{-1}$ & $ 0.005 $ &$ 0.516 $ &$ 0.516 $ &$ 1.05 $ &$ 1.27 $ &$ 1.28 $ &$ 2.09$ & $ 0.33$ & $-0.01$ & $ 0.51$ & $ 2.17$ & $ 319$ \\ $ 214 $ &$ 12. $ &$ 0.161 \times 10^{-3}$ & $ 0.826 $ &$ 1.238 $ & --- & $ 4.10 $ &$ 3.78 $ &$ 0.93 $ &$ 5.65$ & $ 0.34$ & $ 0.21$ & $ 0.04$ & $ 5.67$ & $ 301$ \\ $ 215 $ &$ 12. $ &$ 0.200 \times 10^{-3}$ & $ 0.665 $ &$ 1.293 $ & --- & $ 1.19 $ &$ 1.34 $ &$ 1.86 $ &$ 2.59$ & $ 0.80$ & $ 2.58$ & $ 0.35$ & $ 3.75$ & $ 301$ \\ $ 216 $ &$ 12. $ &$ 0.200 \times 10^{-3}$ & $ 0.593 $ &$ 1.314 $ &$ 1.414 $ &$ 1.21 $ &$ 0.71 $ &$ 2.41 $ &$ 2.79$ & $ 0.28$ & $ 2.59$ & $ 0.12$ & $ 3.82$ & $ 319$ \\ $ 217 $ &$ 12. $ &$ 0.320 \times 10^{-3}$ & $ 0.416 $ &$ 1.233 $ &$ 1.262 $ &$ 0.78 $ &$ 1.51 $ &$ 0.85 $ &$ 1.90$ & $ 0.39$ & $ 0.63$ & $ 0.27$ & $ 2.06$ & $ 301$ \\ $ 218 $ &$ 12. $ &$ 0.320 \times 10^{-3}$ & $ 0.371 $ &$ 1.233 $ &$ 1.262 $ &$ 0.81 $ &$ 0.59 $ &$ 0.74 $ &$ 1.25$ & $ 0.27$ & $ 0.55$ & $ 0.13$ & $ 1.40$ & $ 319$ \\ $ 219 $ &$ 12. $ &$ 0.500 \times 10^{-3}$ & $ 0.237 $ &$ 1.153 $ &$ 1.163 $ &$ 0.54 $ &$ 0.66 $ &$ 0.65 $ &$ 1.07$ & $ 0.27$ & $ 0.13$ & $ 0.09$ & $ 1.12$ & $ 319$ \\ $ 220 $ &$ 12. $ &$ 0.800 \times 10^{-3}$ & $ 0.148 $ &$ 1.056 $ &$ 1.059 $ &$ 0.68 $ &$ 0.56 $ &$ 0.64 $ &$ 1.08$ & $ 0.25$ & $-0.01$ & $ 0.13$ & $ 1.12$ & $ 319$ \\ $ 221 $ &$ 12. $ &$ 0.130 \times 10^{-2}$ & $ 0.091 $ &$ 0.941 $ &$ 0.942 $ &$ 1.02 $ &$ 0.83 $ &$ 0.65 $ &$ 1.47$ & $ 0.21$ & $-0.08$ & $ 0.18$ & $ 1.50$ & $ 319$ \\ $ 222 $ &$ 12. $ &$ 0.200 \times 10^{-2}$ & $ 0.059 $ &$ 0.856 $ &$ 0.857 $ &$ 1.03 $ &$ 0.94 $ &$ 0.65 $ &$ 1.54$ & $ 0.10$ & $-0.02$ & $ 0.15$ & $ 1.55$ & $ 319$ \\ $ 223 $ &$ 12. $ &$ 0.320 \times 10^{-2}$ & $ 0.037 $ &$ 0.757 $ &$ 0.758 $ &$ 1.12 $ &$ 1.36 $ &$ 0.75 $ &$ 1.91$ & $ 0.17$ & $-0.13$ & $ 0.27$ & $ 1.94$ & $ 319$ \\ $ 224 $ &$ 12. $ &$ 0.500 \times 10^{-2}$ & $ 0.024 $ &$ 0.682 $ &$ 0.682 $ &$ 0.85 $ &$ 1.26 $ &$ 0.80 $ &$ 1.72$ & $ 0.22$ & $ 0.08$ & $ 0.13$ & $ 1.74$ & $ 319$ \\ $ 225 $ &$ 12. $ &$ 0.200 \times 10^{-1}$ & $ 0.006 $ &$ 0.492 $ &$ 0.492 $ &$ 0.90 $ &$ 1.85 $ &$ 1.27 $ &$ 2.41$ & $ 0.17$ & $ 0.35$ & $ 0.46$ & $ 2.49$ & $ 319$ \\ $ 226 $ &$ 15. $ &$ 0.200 \times 10^{-3}$ & $ 0.831 $ &$ 1.270 $ & --- & $ 3.19 $ &$ 3.61 $ &$ 0.93 $ &$ 4.91$ & $ 0.34$ & $ 0.21$ & $ 0.04$ & $ 4.92$ & $ 301$ \\ $ 227 $ &$ 15. $ &$ 0.246 \times 10^{-3}$ & $ 0.676 $ &$ 1.370 $ & --- & $ 1.17 $ &$ 1.52 $ &$ 1.39 $ &$ 2.37$ & $ 0.51$ & $ 1.94$ & $ 0.38$ & $ 3.13$ & $ 301$ \\ $ 228 $ &$ 15. $ &$ 0.320 \times 10^{-3}$ & $ 0.520 $ &$ 1.300 $ &$ 1.355 $ &$ 0.94 $ &$ 1.36 $ &$ 0.92 $ &$ 1.90$ & $ 0.47$ & $ 1.07$ & $ 0.11$ & $ 2.23$ & $ 301$ \\ $ 229 $ &$ 15. $ &$ 0.320 \times 10^{-3}$ & $ 0.463 $ &$ 1.324 $ &$ 1.380 $ &$ 0.84 $ &$ 0.70 $ &$ 1.35 $ &$ 1.74$ & $ 0.26$ & $ 1.32$ & $ 0.12$ & $ 2.20$ & $ 319$ \\ $ 230 $ &$ 15. $ &$ 0.500 \times 10^{-3}$ & $ 0.296 $ &$ 1.217 $ &$ 1.235 $ &$ 0.47 $ &$ 0.65 $ &$ 0.66 $ &$ 1.04$ & $ 0.29$ & $ 0.21$ & $ 0.11$ & $ 1.10$ & $ 319$ \\ $ 231 $ &$ 15. $ &$ 0.800 \times 10^{-3}$ & $ 0.185 $ &$ 1.115 $ &$ 1.121 $ &$ 0.47 $ &$ 0.63 $ &$ 0.65 $ &$ 1.02$ & $ 0.27$ & $ 0.09$ & $ 0.05$ & $ 1.06$ & $ 319$ \\ $ 232 $ &$ 15. $ &$ 0.130 \times 10^{-2}$ & $ 0.114 $ &$ 0.988 $ &$ 0.990 $ &$ 0.51 $ &$ 0.65 $ &$ 0.69 $ &$ 1.08$ & $ 0.27$ & $ 0.04$ & $ 0.11$ & $ 1.12$ & $ 319$ \\ $ 233 $ &$ 15. $ &$ 0.200 \times 10^{-2}$ & $ 0.074 $ &$ 0.875 $ &$ 0.876 $ &$ 0.53 $ &$ 0.66 $ &$ 0.72 $ &$ 1.11$ & $ 0.26$ & $ 0.04$ & $ 0.24$ & $ 1.17$ & $ 319$ \\ $ 234 $ &$ 15. $ &$ 0.320 \times 10^{-2}$ & $ 0.046 $ &$ 0.789 $ &$ 0.789 $ &$ 0.56 $ &$ 0.78 $ &$ 0.70 $ &$ 1.18$ & $ 0.26$ & $ 0.05$ & $ 0.22$ & $ 1.23$ & $ 319$ \\ $ 235 $ &$ 15. $ &$ 0.500 \times 10^{-2}$ & $ 0.030 $ &$ 0.718 $ &$ 0.718 $ &$ 0.59 $ &$ 0.62 $ &$ 0.65 $ &$ 1.08$ & $ 0.24$ & $ 0.04$ & $ 0.29$ & $ 1.14$ & $ 319$ \\ $ 236 $ &$ 15. $ &$ 0.800 \times 10^{-2}$ & $ 0.019 $ &$ 0.636 $ &$ 0.636 $ &$ 0.50 $ &$ 0.73 $ &$ 0.67 $ &$ 1.11$ & $ 0.25$ & $ 0.04$ & $ 0.22$ & $ 1.16$ & $ 319$ \\ $ 237 $ &$ 15. $ &$ 0.200 \times 10^{-1}$ & $ 0.007 $ &$ 0.532 $ &$ 0.532 $ &$ 0.69 $ &$ 0.93 $ &$ 1.10 $ &$ 1.59$ & $ 0.26$ & $ 0.03$ & $ 0.25$ & $ 1.63$ & $ 319$ \\ $ 238 $ &$ 18. $ &$ 0.268 \times 10^{-3}$ & $ 0.745 $ &$ 1.332 $ & --- & $ 3.24 $ &$ 3.67 $ &$ 0.92 $ &$ 4.98$ & $ 0.34$ & $ 0.21$ & $ 0.04$ & $ 4.99$ & $ 301$ \\ $ 239 $ &$ 18. $ &$ 0.328 \times 10^{-3}$ & $ 0.608 $ &$ 1.375 $ & --- & $ 1.25 $ &$ 1.67 $ &$ 1.03 $ &$ 2.32$ & $ 0.45$ & $ 1.07$ & $ 0.31$ & $ 2.62$ & $ 301$ \\ $ 240 $ &$ 18. $ &$ 0.500 \times 10^{-3}$ & $ 0.399 $ &$ 1.276 $ &$ 1.305 $ &$ 0.93 $ &$ 1.00 $ &$ 0.86 $ &$ 1.62$ & $ 0.51$ & $ 0.90$ & $ 0.19$ & $ 1.93$ & $ 301$ \\ $ 241 $ &$ 18. $ &$ 0.500 \times 10^{-3}$ & $ 0.356 $ &$ 1.277 $ &$ 1.306 $ &$ 0.73 $ &$ 0.70 $ &$ 0.79 $ &$ 1.29$ & $ 0.26$ & $ 0.53$ & $ 0.14$ & $ 1.42$ & $ 319$ \\ $ 242 $ &$ 18. $ &$ 0.800 \times 10^{-3}$ & $ 0.222 $ &$ 1.168 $ &$ 1.177 $ &$ 0.46 $ &$ 0.59 $ &$ 0.65 $ &$ 0.99$ & $ 0.27$ & $ 0.12$ & $ 0.10$ & $ 1.04$ & $ 319$ \\ $ 243 $ &$ 18. $ &$ 0.130 \times 10^{-2}$ & $ 0.137 $ &$ 1.052 $ &$ 1.054 $ &$ 0.46 $ &$ 0.63 $ &$ 0.66 $ &$ 1.02$ & $ 0.28$ & $ 0.08$ & $ 0.07$ & $ 1.06$ & $ 319$ \\ $ 244 $ &$ 18. $ &$ 0.200 \times 10^{-2}$ & $ 0.089 $ &$ 0.950 $ &$ 0.951 $ &$ 0.51 $ &$ 0.62 $ &$ 0.69 $ &$ 1.06$ & $ 0.25$ & $ 0.05$ & $ 0.07$ & $ 1.09$ & $ 319$ \\ $ 245 $ &$ 18. $ &$ 0.320 \times 10^{-2}$ & $ 0.056 $ &$ 0.836 $ &$ 0.837 $ &$ 0.53 $ &$ 0.65 $ &$ 0.66 $ &$ 1.07$ & $ 0.25$ & $ 0.04$ & $ 0.21$ & $ 1.12$ & $ 319$ \\ $ 246 $ &$ 18. $ &$ 0.500 \times 10^{-2}$ & $ 0.036 $ &$ 0.750 $ &$ 0.750 $ &$ 0.56 $ &$ 0.60 $ &$ 0.65 $ &$ 1.05$ & $ 0.24$ & $ 0.03$ & $ 0.24$ & $ 1.10$ & $ 319$ \\ $ 247 $ &$ 18. $ &$ 0.800 \times 10^{-2}$ & $ 0.022 $ &$ 0.668 $ &$ 0.668 $ &$ 0.45 $ &$ 0.66 $ &$ 0.70 $ &$ 1.06$ & $ 0.25$ & $ 0.04$ & $ 0.24$ & $ 1.12$ & $ 319$ \\ $ 248 $ &$ 18. $ &$ 0.200 \times 10^{-1}$ & $ 0.009 $ &$ 0.539 $ &$ 0.539 $ &$ 0.55 $ &$ 1.76 $ &$ 1.11 $ &$ 2.15$ & $ 0.28$ & $ 0.04$ & $ 0.32$ & $ 2.19$ & $ 319$ \\ $ 249 $ &$ 22. $ &$ 0.500 \times 10^{-3}$ & $ 0.488 $ &$ 1.342 $ &$ 1.392 $ &$ 2.56 $ &$ 1.22 $ &$ 1.13 $ &$ 3.05$ & $ 1.10$ & $ 1.33$ & $ 0.46$ & $ 3.54$ & $ 301$ \\ $ 250 $ &$ 22. $ &$ 0.800 \times 10^{-3}$ & $ 0.272 $ &$ 1.269 $ &$ 1.284 $ &$ 2.19 $ &$ 0.65 $ &$ 0.80 $ &$ 2.42$ & $ 0.25$ & $ 0.31$ & $ 0.04$ & $ 2.46$ & $ 319$ \\ $ 251 $ &$ 22. $ &$ 0.130 \times 10^{-2}$ & $ 0.167 $ &$ 1.071 $ &$ 1.075 $ &$ 2.25 $ &$ 1.40 $ &$ 0.86 $ &$ 2.79$ & $ 0.23$ & $-0.07$ & $-0.24$ & $ 2.81$ & $ 319$ \\ $ 252 $ &$ 22. $ &$ 0.200 \times 10^{-2}$ & $ 0.109 $ &$ 1.019 $ &$ 1.021 $ &$ 2.71 $ &$ 0.77 $ &$ 0.85 $ &$ 2.94$ & $ 0.61$ & $-0.01$ & $ 0.30$ & $ 3.02$ & $ 319$ \\ $ 253 $ &$ 22. $ &$ 0.320 \times 10^{-2}$ & $ 0.068 $ &$ 0.906 $ &$ 0.906 $ &$ 2.55 $ &$ 1.18 $ &$ 0.74 $ &$ 2.90$ & $ 0.01$ & $ 0.06$ & $-0.20$ & $ 2.91$ & $ 319$ \\ $ 254 $ &$ 22. $ &$ 0.500 \times 10^{-2}$ & $ 0.043 $ &$ 0.774 $ &$ 0.774 $ &$ 2.36 $ &$ 0.89 $ &$ 0.71 $ &$ 2.63$ & $ 0.24$ & $ 0.00$ & $ 0.39$ & $ 2.67$ & $ 319$ \\ $ 255 $ &$ 22. $ &$ 0.800 \times 10^{-2}$ & $ 0.027 $ &$ 0.660 $ &$ 0.660 $ &$ 2.42 $ &$ 0.93 $ &$ 0.76 $ &$ 2.70$ & $ 0.42$ & $ 0.04$ & $ 0.57$ & $ 2.79$ & $ 319$ \\ $ 256 $ &$ 22. $ &$ 0.130 \times 10^{-1}$ & $ 0.017 $ &$ 0.591 $ &$ 0.591 $ &$ 1.93 $ &$ 1.83 $ &$ 1.07 $ &$ 2.87$ & $ 0.14$ & $ 0.00$ & $ 0.14$ & $ 2.88$ & $ 319$ \\ $ 257 $ &$ 22. $ &$ 0.320 \times 10^{-1}$ & $ 0.007 $ &$ 0.523 $ &$ 0.523 $ &$ 1.80 $ &$ 1.61 $ &$ 1.39 $ &$ 2.79$ & $ 0.41$ & $-0.04$ & $ 0.89$ & $ 2.96$ & $ 319$ \\ $ 258 $ &$ 27. $ &$ 0.335 \times 10^{-3}$ & $ 0.894 $ &$ 1.402 $ & --- & $ 4.09 $ &$ 3.92 $ &$ 0.91 $ &$ 5.74$ & $ 0.34$ & $ 0.21$ & $ 0.05$ & $ 5.75$ & $ 301$ \\ $ 259 $ &$ 27. $ &$ 0.410 \times 10^{-3}$ & $ 0.730 $ &$ 1.417 $ & --- & $ 1.15 $ &$ 2.10 $ &$ 1.08 $ &$ 2.63$ & $ 0.43$ & $ 1.06$ & $ 0.16$ & $ 2.87$ & $ 301$ \\ $ 260 $ &$ 27. $ &$ 0.500 \times 10^{-3}$ & $ 0.599 $ &$ 1.418 $ &$ 1.508 $ &$ 1.15 $ &$ 1.46 $ &$ 0.83 $ &$ 2.03$ & $ 0.57$ & $ 0.81$ & $ 0.28$ & $ 2.28$ & $ 301$ \\ $ 261 $ &$ 27. $ &$ 0.500 \times 10^{-3}$ & $ 0.534 $ &$ 1.420 $ &$ 1.510 $ &$ 0.94 $ &$ 0.75 $ &$ 1.08 $ &$ 1.61$ & $ 0.26$ & $ 0.98$ & $ 0.15$ & $ 1.91$ & $ 319$ \\ $ 262 $ &$ 27. $ &$ 0.800 \times 10^{-3}$ & $ 0.374 $ &$ 1.296 $ &$ 1.322 $ &$ 2.45 $ &$ 0.83 $ &$ 0.77 $ &$ 2.70$ & $ 0.51$ & $ 0.48$ & $ 0.30$ & $ 2.80$ & $ 301$ \\ $ 263 $ &$ 27. $ &$ 0.800 \times 10^{-3}$ & $ 0.333 $ &$ 1.298 $ &$ 1.324 $ &$ 0.47 $ &$ 0.72 $ &$ 0.65 $ &$ 1.08$ & $ 0.27$ & $ 0.15$ & $ 0.13$ & $ 1.13$ & $ 319$ \\ $ 264 $ &$ 27. $ &$ 0.130 \times 10^{-2}$ & $ 0.205 $ &$ 1.164 $ &$ 1.172 $ &$ 0.47 $ &$ 0.65 $ &$ 0.66 $ &$ 1.04$ & $ 0.28$ & $ 0.09$ & $ 0.09$ & $ 1.08$ & $ 319$ \\ $ 265 $ &$ 27. $ &$ 0.200 \times 10^{-2}$ & $ 0.133 $ &$ 1.054 $ &$ 1.056 $ &$ 0.52 $ &$ 0.64 $ &$ 0.67 $ &$ 1.06$ & $ 0.25$ & $ 0.05$ & $ 0.08$ & $ 1.09$ & $ 319$ \\ $ 266 $ &$ 27. $ &$ 0.320 \times 10^{-2}$ & $ 0.083 $ &$ 0.920 $ &$ 0.921 $ &$ 0.53 $ &$ 0.66 $ &$ 0.68 $ &$ 1.08$ & $ 0.25$ & $ 0.04$ & $ 0.21$ & $ 1.13$ & $ 319$ \\ $ 267 $ &$ 27. $ &$ 0.500 \times 10^{-2}$ & $ 0.053 $ &$ 0.806 $ &$ 0.806 $ &$ 0.54 $ &$ 0.65 $ &$ 0.67 $ &$ 1.08$ & $ 0.28$ & $ 0.04$ & $ 0.21$ & $ 1.14$ & $ 319$ \\ $ 268 $ &$ 27. $ &$ 0.800 \times 10^{-2}$ & $ 0.033 $ &$ 0.712 $ &$ 0.712 $ &$ 0.57 $ &$ 0.66 $ &$ 0.67 $ &$ 1.10$ & $ 0.25$ & $ 0.04$ & $ 0.23$ & $ 1.16$ & $ 319$ \\ $ 269 $ &$ 27. $ &$ 0.130 \times 10^{-1}$ & $ 0.021 $ &$ 0.639 $ &$ 0.639 $ &$ 0.55 $ &$ 0.67 $ &$ 0.71 $ &$ 1.12$ & $ 0.25$ & $ 0.03$ & $ 0.26$ & $ 1.17$ & $ 319$ \\ $ 270 $ &$ 27. $ &$ 0.200 \times 10^{-1}$ & $ 0.013 $ &$ 0.581 $ &$ 0.581 $ &$ 0.84 $ &$ 0.77 $ &$ 0.85 $ &$ 1.42$ & $ 0.26$ & $ 0.04$ & $ 0.27$ & $ 1.47$ & $ 319$ \\ $ 271 $ &$ 27. $ &$ 0.320 \times 10^{-1}$ & $ 0.008 $ &$ 0.529 $ &$ 0.529 $ &$ 0.62 $ &$ 1.78 $ &$ 1.34 $ &$ 2.31$ & $ 0.30$ & $ 0.05$ & $ 0.30$ & $ 2.35$ & $ 319$ \\ $ 272 $ &$ 35. $ &$ 0.574 \times 10^{-3}$ & $ 0.676 $ &$ 1.521 $ & --- & $ 1.36 $ &$ 2.01 $ &$ 0.92 $ &$ 2.60$ & $ 0.40$ & $ 0.71$ & $ 0.11$ & $ 2.72$ & $ 301$ \\ $ 273 $ &$ 35. $ &$ 0.800 \times 10^{-3}$ & $ 0.485 $ &$ 1.407 $ &$ 1.460 $ &$ 0.95 $ &$ 0.81 $ &$ 0.83 $ &$ 1.50$ & $ 0.79$ & $ 0.72$ & $ 0.21$ & $ 1.85$ & $ 301$ \\ $ 274 $ &$ 35. $ &$ 0.800 \times 10^{-3}$ & $ 0.432 $ &$ 1.395 $ &$ 1.447 $ &$ 0.83 $ &$ 0.74 $ &$ 0.78 $ &$ 1.36$ & $ 0.25$ & $ 0.38$ & $ 0.14$ & $ 1.44$ & $ 319$ \\ $ 275 $ &$ 35. $ &$ 0.130 \times 10^{-2}$ & $ 0.266 $ &$ 1.234 $ &$ 1.248 $ &$ 0.54 $ &$ 0.51 $ &$ 0.64 $ &$ 0.98$ & $ 0.31$ & $ 0.11$ & $ 0.04$ & $ 1.04$ & $ 319$ \\ $ 276 $ &$ 35. $ &$ 0.200 \times 10^{-2}$ & $ 0.173 $ &$ 1.108 $ &$ 1.113 $ &$ 0.55 $ &$ 0.57 $ &$ 0.64 $ &$ 1.02$ & $ 0.30$ & $ 0.08$ & $ 0.05$ & $ 1.07$ & $ 319$ \\ $ 277 $ &$ 35. $ &$ 0.320 \times 10^{-2}$ & $ 0.108 $ &$ 0.976 $ &$ 0.978 $ &$ 0.58 $ &$ 0.59 $ &$ 0.69 $ &$ 1.08$ & $ 0.20$ & $ 0.02$ & $ 0.08$ & $ 1.10$ & $ 319$ \\ $ 278 $ &$ 35. $ &$ 0.500 \times 10^{-2}$ & $ 0.069 $ &$ 0.857 $ &$ 0.858 $ &$ 0.60 $ &$ 0.54 $ &$ 0.67 $ &$ 1.05$ & $ 0.27$ & $ 0.04$ & $ 0.23$ & $ 1.11$ & $ 319$ \\ $ 279 $ &$ 35. $ &$ 0.800 \times 10^{-2}$ & $ 0.043 $ &$ 0.751 $ &$ 0.751 $ &$ 0.60 $ &$ 0.58 $ &$ 0.67 $ &$ 1.07$ & $ 0.28$ & $ 0.04$ & $ 0.27$ & $ 1.14$ & $ 319$ \\ $ 280 $ &$ 35. $ &$ 0.130 \times 10^{-1}$ & $ 0.027 $ &$ 0.666 $ &$ 0.666 $ &$ 0.65 $ &$ 0.62 $ &$ 0.68 $ &$ 1.13$ & $ 0.25$ & $ 0.03$ & $ 0.28$ & $ 1.19$ & $ 319$ \\ $ 281 $ &$ 35. $ &$ 0.200 \times 10^{-1}$ & $ 0.017 $ &$ 0.595 $ &$ 0.595 $ &$ 0.64 $ &$ 0.63 $ &$ 0.78 $ &$ 1.19$ & $ 0.30$ & $ 0.03$ & $ 0.20$ & $ 1.25$ & $ 319$ \\ $ 282 $ &$ 35. $ &$ 0.320 \times 10^{-1}$ & $ 0.011 $ &$ 0.519 $ &$ 0.519 $ &$ 0.80 $ &$ 0.93 $ &$ 1.22 $ &$ 1.73$ & $ 0.58$ & $ 0.04$ & $ 0.41$ & $ 1.87$ & $ 319$ \\ $ 283 $ &$ 35. $ &$ 0.800 \times 10^{-1}$ & $ 0.004 $ &$ 0.450 $ &$ 0.450 $ &$ 1.79 $ &$ 3.54 $ &$ 2.39 $ &$ 4.63$ & $ 0.37$ & $ 0.06$ & $ 0.07$ & $ 4.64$ & $ 319$ \\ \hline \hline \end{tabular} \end{center} \end{tiny} \tablecaption{\label{tab615a4}Continuation of \Tab~\ref{tab615a1}.} \end{table} \begin{table} \begin{tiny} \begin{center} % \input{tabhead} \begin{tabular}{l|cccccccccccccc} \hline \hline Bin & $Q^2$ & $x$ & $y$ & $\sigma^{+~\rm ave}_{r}$ & $F_2^{\rm ave}$ & $\delta_{\rm ave,stat}$ & $\delta_{\rm ave,uncor}$ & $\delta_{\rm ave,cor}$ & $\delta_{\rm ave,exp~tot}$ & $\delta_{\rm ave,rel}$ & $\delta_{\rm ave,gp}$ & $\delta_{\rm ave,had}$ & $\delta_{\rm ave,tot}$ & $\sqrt{s}$\\ $\#$ & GeV$^2$ & & & & & \% & \% & \% & \% & \% & \% & \% &\% & GeV \\ \hline % \input{tables/p_5_615} $ 284 $ &$ 45. $ &$ 0.800 \times 10^{-3}$ & $ 0.624 $ &$ 1.493 $ & --- & $ 1.80 $ &$ 1.45 $ &$ 1.41 $ &$ 2.71$ & $ 0.70$ & $ 1.23$ & $ 0.72$ & $ 3.14$ & $ 301$ \\ $ 285 $ &$ 45. $ &$ 0.800 \times 10^{-3}$ & $ 0.556 $ &$ 1.468 $ &$ 1.571 $ &$ 1.38 $ &$ 0.89 $ &$ 0.80 $ &$ 1.82$ & $ 0.25$ & $ 0.51$ & $ 0.17$ & $ 1.91$ & $ 319$ \\ $ 286 $ &$ 45. $ &$ 0.130 \times 10^{-2}$ & $ 0.384 $ &$ 1.317 $ &$ 1.344 $ &$ 0.95 $ &$ 0.61 $ &$ 0.78 $ &$ 1.37$ & $ 0.56$ & $ 0.12$ & $-0.10$ & $ 1.49$ & $ 301$ \\ $ 287 $ &$ 45. $ &$ 0.130 \times 10^{-2}$ & $ 0.342 $ &$ 1.316 $ &$ 1.343 $ &$ 0.87 $ &$ 0.76 $ &$ 0.65 $ &$ 1.32$ & $ 0.25$ & $ 0.14$ & $ 0.14$ & $ 1.36$ & $ 319$ \\ $ 288 $ &$ 45. $ &$ 0.200 \times 10^{-2}$ & $ 0.222 $ &$ 1.163 $ &$ 1.172 $ &$ 0.61 $ &$ 0.57 $ &$ 0.63 $ &$ 1.05$ & $ 0.28$ & $ 0.07$ & $ 0.08$ & $ 1.09$ & $ 319$ \\ $ 289 $ &$ 45. $ &$ 0.320 \times 10^{-2}$ & $ 0.139 $ &$ 1.017 $ &$ 1.019 $ &$ 0.62 $ &$ 0.55 $ &$ 0.65 $ &$ 1.05$ & $ 0.27$ & $ 0.05$ & $ 0.10$ & $ 1.09$ & $ 319$ \\ $ 290 $ &$ 45. $ &$ 0.500 \times 10^{-2}$ & $ 0.089 $ &$ 0.903 $ &$ 0.904 $ &$ 0.65 $ &$ 0.52 $ &$ 0.64 $ &$ 1.05$ & $ 0.22$ & $ 0.02$ & $ 0.18$ & $ 1.09$ & $ 319$ \\ $ 291 $ &$ 45. $ &$ 0.800 \times 10^{-2}$ & $ 0.056 $ &$ 0.785 $ &$ 0.786 $ &$ 0.67 $ &$ 0.53 $ &$ 0.65 $ &$ 1.07$ & $ 0.24$ & $ 0.05$ & $ 0.07$ & $ 1.10$ & $ 319$ \\ $ 292 $ &$ 45. $ &$ 0.130 \times 10^{-1}$ & $ 0.034 $ &$ 0.683 $ &$ 0.683 $ &$ 0.70 $ &$ 0.60 $ &$ 0.65 $ &$ 1.13$ & $ 0.30$ & $ 0.03$ & $ 0.28$ & $ 1.21$ & $ 319$ \\ $ 293 $ &$ 45. $ &$ 0.200 \times 10^{-1}$ & $ 0.022 $ &$ 0.604 $ &$ 0.604 $ &$ 0.72 $ &$ 0.56 $ &$ 0.73 $ &$ 1.17$ & $ 0.24$ & $ 0.02$ & $ 0.25$ & $ 1.22$ & $ 319$ \\ $ 294 $ &$ 45. $ &$ 0.320 \times 10^{-1}$ & $ 0.014 $ &$ 0.536 $ &$ 0.536 $ &$ 1.09 $ &$ 0.85 $ &$ 0.77 $ &$ 1.58$ & $ 0.25$ & $ 0.04$ & $ 0.25$ & $ 1.62$ & $ 319$ \\ $ 295 $ &$ 45. $ &$ 0.500 \times 10^{-1}$ & $ 0.009 $ &$ 0.488 $ &$ 0.488 $ &$ 0.91 $ &$ 1.82 $ &$ 1.44 $ &$ 2.50$ & $ 0.31$ & $ 0.04$ & $ 0.22$ & $ 2.53$ & $ 319$ \\ $ 296 $ &$ 60. $ &$ 0.130 \times 10^{-2}$ & $ 0.512 $ &$ 1.407 $ &$ 1.465 $ &$ 1.30 $ &$ 0.55 $ &$ 0.84 $ &$ 1.64$ & $ 0.80$ & $ 0.43$ & $ 0.21$ & $ 1.89$ & $ 301$ \\ $ 297 $ &$ 60. $ &$ 0.130 \times 10^{-2}$ & $ 0.456 $ &$ 1.394 $ &$ 1.451 $ &$ 1.30 $ &$ 0.89 $ &$ 0.69 $ &$ 1.72$ & $ 0.24$ & $ 0.16$ & $ 0.16$ & $ 1.75$ & $ 319$ \\ $ 298 $ &$ 60. $ &$ 0.200 \times 10^{-2}$ & $ 0.296 $ &$ 1.255 $ &$ 1.273 $ &$ 0.67 $ &$ 0.56 $ &$ 0.63 $ &$ 1.08$ & $ 0.30$ & $ 0.10$ & $ 0.01$ & $ 1.12$ & $ 319$ \\ $ 299 $ &$ 60. $ &$ 0.320 \times 10^{-2}$ & $ 0.185 $ &$ 1.088 $ &$ 1.093 $ &$ 0.68 $ &$ 0.53 $ &$ 0.63 $ &$ 1.07$ & $ 0.21$ & $ 0.05$ & $ 0.04$ & $ 1.09$ & $ 319$ \\ $ 300 $ &$ 60. $ &$ 0.500 \times 10^{-2}$ & $ 0.119 $ &$ 0.947 $ &$ 0.948 $ &$ 0.71 $ &$ 0.52 $ &$ 0.65 $ &$ 1.09$ & $ 0.19$ & $ 0.05$ & $ 0.09$ & $ 1.11$ & $ 319$ \\ $ 301 $ &$ 60. $ &$ 0.800 \times 10^{-2}$ & $ 0.074 $ &$ 0.824 $ &$ 0.824 $ &$ 0.73 $ &$ 0.56 $ &$ 0.65 $ &$ 1.13$ & $ 0.29$ & $ 0.05$ & $ 0.26$ & $ 1.19$ & $ 319$ \\ $ 302 $ &$ 60. $ &$ 0.130 \times 10^{-1}$ & $ 0.046 $ &$ 0.711 $ &$ 0.711 $ &$ 0.78 $ &$ 0.62 $ &$ 0.69 $ &$ 1.21$ & $ 0.30$ & $ 0.05$ & $ 0.31$ & $ 1.29$ & $ 319$ \\ $ 303 $ &$ 60. $ &$ 0.200 \times 10^{-1}$ & $ 0.030 $ &$ 0.635 $ &$ 0.635 $ &$ 0.82 $ &$ 0.67 $ &$ 0.71 $ &$ 1.27$ & $ 0.30$ & $ 0.03$ & $ 0.25$ & $ 1.33$ & $ 319$ \\ $ 304 $ &$ 60. $ &$ 0.320 \times 10^{-1}$ & $ 0.019 $ &$ 0.555 $ &$ 0.555 $ &$ 0.89 $ &$ 0.70 $ &$ 0.74 $ &$ 1.36$ & $ 0.27$ & $ 0.05$ & $ 0.26$ & $ 1.41$ & $ 319$ \\ $ 305 $ &$ 60. $ &$ 0.500 \times 10^{-1}$ & $ 0.012 $ &$ 0.511 $ &$ 0.511 $ &$ 0.95 $ &$ 1.46 $ &$ 1.17 $ &$ 2.10$ & $ 0.38$ & $ 0.04$ & $ 0.35$ & $ 2.16$ & $ 319$ \\ $ 306 $ &$ 60. $ &$ 0.130 $ & $ 0.005 $ &$ 0.396 $ &$ 0.396 $ &$ 2.95 $ &$ 3.88 $ &$ 2.05 $ &$ 5.28$ & $ 0.32$ & $ 0.00$ & $ 0.20$ & $ 5.30$ & $ 301$ \\ $ 307 $ &$ 70. $ &$ 0.130 \times 10^{-2}$ & $ 0.597 $ &$ 1.453 $ &$ 1.541 $ &$ 1.76 $ &$ 0.60 $ &$ 0.98 $ &$ 2.10$ & $ 0.91$ & $ 0.33$ & $ 0.46$ & $ 2.36$ & $ 301$ \\ $ 308 $ &$ 70. $ &$ 0.200 \times 10^{-2}$ & $ 0.388 $ &$ 1.274 $ &$ 1.300 $ &$ 1.72 $ &$ 0.33 $ &$ 0.84 $ &$ 1.94$ & $ 0.31$ & $ 0.27$ & $-0.06$ & $ 1.98$ & $ 301$ \\ $ 309 $ &$ 70. $ &$ 0.320 \times 10^{-2}$ & $ 0.216 $ &$ 1.103 $ &$ 1.110 $ &$ 1.66 $ &$ 0.46 $ &$ 0.70 $ &$ 1.86$ & $ 0.33$ & $ 0.03$ & $-0.11$ & $ 1.89$ & $ 319$ \\ $ 310 $ &$ 70. $ &$ 0.500 \times 10^{-2}$ & $ 0.138 $ &$ 0.999 $ &$ 1.001 $ &$ 1.54 $ &$ 0.43 $ &$ 0.68 $ &$ 1.74$ & $ 0.29$ & $ 0.00$ & $ 0.15$ & $ 1.77$ & $ 319$ \\ $ 311 $ &$ 70. $ &$ 0.800 \times 10^{-2}$ & $ 0.086 $ &$ 0.824 $ &$ 0.825 $ &$ 1.61 $ &$ 0.48 $ &$ 0.66 $ &$ 1.81$ & $ 0.24$ & $ 0.00$ & $ 0.23$ & $ 1.84$ & $ 319$ \\ $ 312 $ &$ 70. $ &$ 0.130 \times 10^{-1}$ & $ 0.053 $ &$ 0.720 $ &$ 0.720 $ &$ 1.88 $ &$ 0.51 $ &$ 0.77 $ &$ 2.10$ & $ 0.38$ & $ 0.03$ & $ 0.67$ & $ 2.23$ & $ 319$ \\ $ 313 $ &$ 70. $ &$ 0.200 \times 10^{-1}$ & $ 0.035 $ &$ 0.640 $ &$ 0.640 $ &$ 1.77 $ &$ 0.67 $ &$ 0.70 $ &$ 2.02$ & $ 0.32$ & $ 0.05$ & $ 0.54$ & $ 2.11$ & $ 319$ \\ $ 314 $ &$ 70. $ &$ 0.320 \times 10^{-1}$ & $ 0.022 $ &$ 0.564 $ &$ 0.564 $ &$ 2.10 $ &$ 0.92 $ &$ 0.76 $ &$ 2.41$ & $ 0.00$ & $ 0.01$ & $-0.23$ & $ 2.42$ & $ 319$ \\ $ 315 $ &$ 70. $ &$ 0.500 \times 10^{-1}$ & $ 0.014 $ &$ 0.513 $ &$ 0.513 $ &$ 1.61 $ &$ 0.90 $ &$ 1.16 $ &$ 2.18$ & $ 0.28$ & $ 0.11$ & $ 0.29$ & $ 2.22$ & $ 319$ \\ $ 316 $ &$ 90. $ &$ 0.130 \times 10^{-2}$ & $ 0.684 $ &$ 1.446 $ & --- & $ 1.60 $ &$ 3.50 $ &$ 1.42 $ &$ 4.10$ & $ 0.11$ & $ 0.02$ & $ 0.13$ & $ 4.11$ & $ 319$ \\ $ 317 $ &$ 90. $ &$ 0.200 \times 10^{-2}$ & $ 0.499 $ &$ 1.261 $ &$ 1.308 $ &$ 1.97 $ &$ 0.35 $ &$ 0.93 $ &$ 2.21$ & $ 0.90$ & $ 0.27$ & $ 0.07$ & $ 2.40$ & $ 301$ \\ $ 318 $ &$ 90. $ &$ 0.200 \times 10^{-2}$ & $ 0.445 $ &$ 1.321 $ &$ 1.371 $ &$ 1.20 $ &$ 1.05 $ &$ 0.72 $ &$ 1.74$ & $ 0.37$ & $ 0.02$ & $-0.05$ & $ 1.78$ & $ 319$ \\ $ 319 $ &$ 90. $ &$ 0.320 \times 10^{-2}$ & $ 0.278 $ &$ 1.176 $ &$ 1.189 $ &$ 0.84 $ &$ 0.61 $ &$ 0.66 $ &$ 1.23$ & $ 0.26$ & $ 0.06$ & $ 0.09$ & $ 1.26$ & $ 319$ \\ $ 320 $ &$ 90. $ &$ 0.500 \times 10^{-2}$ & $ 0.178 $ &$ 1.035 $ &$ 1.039 $ &$ 0.79 $ &$ 0.59 $ &$ 0.64 $ &$ 1.17$ & $ 0.34$ & $ 0.05$ & $ 0.08$ & $ 1.22$ & $ 319$ \\ $ 321 $ &$ 90. $ &$ 0.800 \times 10^{-2}$ & $ 0.111 $ &$ 0.891 $ &$ 0.892 $ &$ 0.86 $ &$ 0.56 $ &$ 0.69 $ &$ 1.24$ & $ 0.28$ & $ 0.02$ & $ 0.01$ & $ 1.27$ & $ 319$ \\ $ 322 $ &$ 90. $ &$ 0.130 \times 10^{-1}$ & $ 0.068 $ &$ 0.759 $ &$ 0.759 $ &$ 0.90 $ &$ 0.69 $ &$ 0.70 $ &$ 1.33$ & $ 0.24$ & $ 0.04$ & $ 0.23$ & $ 1.37$ & $ 319$ \\ $ 323 $ &$ 90. $ &$ 0.200 \times 10^{-1}$ & $ 0.044 $ &$ 0.654 $ &$ 0.654 $ &$ 0.94 $ &$ 0.62 $ &$ 0.71 $ &$ 1.33$ & $ 0.27$ & $ 0.04$ & $ 0.42$ & $ 1.42$ & $ 319$ \\ $ 324 $ &$ 90. $ &$ 0.320 \times 10^{-1}$ & $ 0.028 $ &$ 0.561 $ &$ 0.561 $ &$ 1.00 $ &$ 0.73 $ &$ 0.73 $ &$ 1.44$ & $ 0.24$ & $ 0.03$ & $ 0.25$ & $ 1.48$ & $ 319$ \\ $ 325 $ &$ 90. $ &$ 0.500 \times 10^{-1}$ & $ 0.018 $ &$ 0.491 $ &$ 0.490 $ &$ 1.27 $ &$ 0.71 $ &$ 0.93 $ &$ 1.73$ & $ 0.07$ & $ 0.06$ & $ 0.06$ & $ 1.73$ & $ 319$ \\ $ 326 $ &$ 90. $ &$ 0.800 \times 10^{-1}$ & $ 0.011 $ &$ 0.439 $ &$ 0.438 $ &$ 1.23 $ &$ 0.92 $ &$ 0.95 $ &$ 1.81$ & $ 0.31$ & $ 0.06$ & $ 0.37$ & $ 1.88$ & $ 319$ \\ $ 327 $ &$ 90. $ &$ 0.180 $ & $ 0.005 $ &$ 0.344 $ &$ 0.344 $ &$ 3.05 $ &$ 3.04 $ &$ 1.92 $ &$ 4.72$ & $ 1.47$ & $-0.23$ & $ 1.28$ & $ 5.11$ & $ 319$ \\ $ 328 $ &$ 120. $ &$ 0.160 \times 10^{-2}$ & $ 0.741 $ &$ 1.401 $ & --- & $ 1.80 $ &$ 2.70 $ &$ 1.22 $ &$ 3.47$ & $-0.07$ & $ 0.03$ & $ 0.07$ & $ 3.47$ & $ 319$ \\ $ 329 $ &$ 120. $ &$ 0.200 \times 10^{-2}$ & $ 0.665 $ &$ 1.336 $ & --- & $ 2.22 $ &$ 0.77 $ &$ 1.19 $ &$ 2.64$ & $ 1.19$ & $ 0.09$ & $ 0.49$ & $ 2.93$ & $ 301$ \\ $ 330 $ &$ 120. $ &$ 0.200 \times 10^{-2}$ & $ 0.593 $ &$ 1.313 $ &$ 1.412 $ &$ 1.51 $ &$ 2.00 $ &$ 1.27 $ &$ 2.81$ & $ 0.34$ & $-0.02$ & $-0.15$ & $ 2.84$ & $ 319$ \\ $ 331 $ &$ 120. $ &$ 0.320 \times 10^{-2}$ & $ 0.416 $ &$ 1.186 $ &$ 1.213 $ &$ 1.92 $ &$ 0.73 $ &$ 0.80 $ &$ 2.20$ & $ 0.76$ & $ 0.03$ & $-0.03$ & $ 2.33$ & $ 301$ \\ $ 332 $ &$ 120. $ &$ 0.320 \times 10^{-2}$ & $ 0.371 $ &$ 1.212 $ &$ 1.239 $ &$ 1.30 $ &$ 1.80 $ &$ 1.03 $ &$ 2.45$ & $ 0.24$ & $ 0.01$ & $-0.08$ & $ 2.46$ & $ 319$ \\ $ 333 $ &$ 120. $ &$ 0.500 \times 10^{-2}$ & $ 0.237 $ &$ 1.046 $ &$ 1.053 $ &$ 1.17 $ &$ 0.59 $ &$ 0.77 $ &$ 1.52$ & $ 0.22$ & $ 0.05$ & $ 0.00$ & $ 1.54$ & $ 319$ \\ $ 334 $ &$ 120. $ &$ 0.800 \times 10^{-2}$ & $ 0.148 $ &$ 0.910 $ &$ 0.912 $ &$ 1.07 $ &$ 0.59 $ &$ 0.67 $ &$ 1.39$ & $ 0.25$ & $ 0.06$ & $ 0.11$ & $ 1.42$ & $ 319$ \\ $ 335 $ &$ 120. $ &$ 0.130 \times 10^{-1}$ & $ 0.091 $ &$ 0.780 $ &$ 0.780 $ &$ 1.12 $ &$ 0.65 $ &$ 0.71 $ &$ 1.48$ & $ 0.36$ & $ 0.01$ & $ 0.15$ & $ 1.53$ & $ 319$ \\ $ 336 $ &$ 120. $ &$ 0.200 \times 10^{-1}$ & $ 0.059 $ &$ 0.671 $ &$ 0.671 $ &$ 1.10 $ &$ 0.66 $ &$ 0.75 $ &$ 1.49$ & $ 0.24$ & $ 0.01$ & $ 0.51$ & $ 1.59$ & $ 319$ \\ $ 337 $ &$ 120. $ &$ 0.320 \times 10^{-1}$ & $ 0.037 $ &$ 0.577 $ &$ 0.577 $ &$ 1.25 $ &$ 0.74 $ &$ 0.75 $ &$ 1.63$ & $ 0.23$ & $ 0.04$ & $ 0.34$ & $ 1.68$ & $ 319$ \\ $ 338 $ &$ 120. $ &$ 0.500 \times 10^{-1}$ & $ 0.024 $ &$ 0.489 $ &$ 0.488 $ &$ 1.25 $ &$ 0.69 $ &$ 0.87 $ &$ 1.67$ & $ 0.12$ & $ 0.05$ & $ 0.04$ & $ 1.68$ & $ 319$ \\ $ 339 $ &$ 120. $ &$ 0.800 \times 10^{-1}$ & $ 0.015 $ &$ 0.443 $ &$ 0.442 $ &$ 1.35 $ &$ 0.63 $ &$ 1.18 $ &$ 1.90$ & $ 0.34$ & $ 0.05$ & $ 0.25$ & $ 1.95$ & $ 319$ \\ $ 340 $ &$ 120. $ &$ 0.180 $ & $ 0.007 $ &$ 0.333 $ &$ 0.333 $ &$ 2.37 $ &$ 2.69 $ &$ 1.51 $ &$ 3.89$ & $ 0.90$ & $-0.14$ & $-0.26$ & $ 4.01$ & $ 301$ \\ $ 341 $ &$ 150. $ &$ 0.200 \times 10^{-2}$ & $ 0.741 $ &$ 1.389 $ & --- & $ 2.00 $ &$ 2.70 $ &$ 1.28 $ &$ 3.60$ & $-0.18$ & $ 0.03$ & $ 0.02$ & $ 3.60$ & $ 319$ \\ $ 342 $ &$ 150. $ &$ 0.320 \times 10^{-2}$ & $ 0.520 $ &$ 1.204 $ &$ 1.250 $ &$ 1.82 $ &$ 0.89 $ &$ 0.99 $ &$ 2.25$ & $ 0.87$ & $ 0.10$ & $ 0.32$ & $ 2.44$ & $ 301$ \\ $ 343 $ &$ 150. $ &$ 0.320 \times 10^{-2}$ & $ 0.463 $ &$ 1.201 $ &$ 1.247 $ &$ 1.21 $ &$ 2.10 $ &$ 1.04 $ &$ 2.64$ & $ 0.32$ & $ 0.01$ & $-0.20$ & $ 2.66$ & $ 319$ \\ $ 344 $ &$ 150. $ &$ 0.500 \times 10^{-2}$ & $ 0.296 $ &$ 1.058 $ &$ 1.071 $ &$ 1.08 $ &$ 0.87 $ &$ 0.69 $ &$ 1.54$ & $ 0.26$ & $-0.01$ & $ 0.05$ & $ 1.57$ & $ 319$ \\ $ 345 $ &$ 150. $ &$ 0.800 \times 10^{-2}$ & $ 0.185 $ &$ 0.915 $ &$ 0.919 $ &$ 1.33 $ &$ 0.89 $ &$ 0.71 $ &$ 1.76$ & $ 0.25$ & $ 0.03$ & $ 0.33$ & $ 1.81$ & $ 319$ \\ $ 346 $ &$ 150. $ &$ 0.130 \times 10^{-1}$ & $ 0.114 $ &$ 0.807 $ &$ 0.807 $ &$ 1.98 $ &$ 0.51 $ &$ 1.03 $ &$ 2.29$ & $ 0.45$ & $-0.03$ & $ 0.30$ & $ 2.35$ & $ 319$ \\ $ 347 $ &$ 150. $ &$ 0.200 \times 10^{-1}$ & $ 0.074 $ &$ 0.693 $ &$ 0.693 $ &$ 1.67 $ &$ 0.68 $ &$ 0.88 $ &$ 2.01$ & $ 0.30$ & $ 0.03$ & $ 0.54$ & $ 2.11$ & $ 319$ \\ $ 348 $ &$ 150. $ &$ 0.320 \times 10^{-1}$ & $ 0.046 $ &$ 0.588 $ &$ 0.588 $ &$ 1.87 $ &$ 0.80 $ &$ 0.96 $ &$ 2.25$ & $ 0.10$ & $-0.05$ & $ 0.53$ & $ 2.31$ & $ 319$ \\ $ 349 $ &$ 150. $ &$ 0.500 \times 10^{-1}$ & $ 0.030 $ &$ 0.512 $ &$ 0.512 $ &$ 1.78 $ &$ 1.08 $ &$ 0.88 $ &$ 2.26$ & $ 0.14$ & $ 0.04$ & $ 0.10$ & $ 2.27$ & $ 319$ \\ $ 350 $ &$ 150. $ &$ 0.800 \times 10^{-1}$ & $ 0.019 $ &$ 0.446 $ &$ 0.446 $ &$ 1.72 $ &$ 0.88 $ &$ 1.09 $ &$ 2.22$ & $ 0.19$ & $ 0.06$ & $ 0.35$ & $ 2.26$ & $ 319$ \\ $ 351 $ &$ 150. $ &$ 0.180 $ & $ 0.008 $ &$ 0.325 $ &$ 0.325 $ &$ 2.56 $ &$ 2.19 $ &$ 1.61 $ &$ 3.73$ & $ 0.93$ & $-0.12$ & $-0.30$ & $ 3.86$ & $ 319$ \\ $ 352 $ &$ 200. $ &$ 0.260 \times 10^{-2}$ & $ 0.760 $ &$ 1.286 $ & --- & $ 2.20 $ &$ 2.60 $ &$ 1.08 $ &$ 3.57$ & $ 0.18$ & $ 0.03$ & $ 0.09$ & $ 3.58$ & $ 319$ \\ $ 353 $ &$ 200. $ &$ 0.320 \times 10^{-2}$ & $ 0.693 $ &$ 1.171 $ & --- & $ 3.80 $ &$ 2.00 $ &$ 1.30 $ &$ 4.48$ & $ 1.40$ & $ 0.17$ & $ 0.56$ & $ 4.73$ & $ 301$ \\ $ 354 $ &$ 200. $ &$ 0.320 \times 10^{-2}$ & $ 0.618 $ &$ 1.221 $ & --- & $ 1.92 $ &$ 2.20 $ &$ 1.21 $ &$ 3.16$ & $ 0.30$ & $-0.02$ & $ 0.08$ & $ 3.18$ & $ 319$ \\ $ 355 $ &$ 200. $ &$ 0.500 \times 10^{-2}$ & $ 0.443 $ &$ 1.074 $ &$ 1.100 $ &$ 1.89 $ &$ 0.88 $ &$ 0.85 $ &$ 2.25$ & $ 0.68$ & $ 0.03$ & $-0.04$ & $ 2.35$ & $ 301$ \\ $ 356 $ &$ 200. $ &$ 0.500 \times 10^{-2}$ & $ 0.395 $ &$ 1.103 $ &$ 1.129 $ &$ 1.14 $ &$ 0.69 $ &$ 0.93 $ &$ 1.62$ & $ 0.34$ & $ 0.02$ & $ 0.00$ & $ 1.66$ & $ 319$ \\ $ 357 $ &$ 200. $ &$ 0.800 \times 10^{-2}$ & $ 0.247 $ &$ 0.934 $ &$ 0.940 $ &$ 0.92 $ &$ 0.58 $ &$ 0.73 $ &$ 1.31$ & $ 0.17$ & $ 0.04$ & $ 0.06$ & $ 1.33$ & $ 319$ \\ $ 358 $ &$ 200. $ &$ 0.130 \times 10^{-1}$ & $ 0.152 $ &$ 0.806 $ &$ 0.807 $ &$ 0.94 $ &$ 0.46 $ &$ 0.69 $ &$ 1.25$ & $ 0.27$ & $ 0.03$ & $ 0.22$ & $ 1.30$ & $ 319$ \\ $ 359 $ &$ 200. $ &$ 0.200 \times 10^{-1}$ & $ 0.099 $ &$ 0.698 $ &$ 0.698 $ &$ 1.13 $ &$ 0.64 $ &$ 0.71 $ &$ 1.48$ & $ 0.11$ & $ 0.02$ & $ 0.25$ & $ 1.51$ & $ 319$ \\ $ 360 $ &$ 200. $ &$ 0.320 \times 10^{-1}$ & $ 0.062 $ &$ 0.586 $ &$ 0.586 $ &$ 1.20 $ &$ 0.82 $ &$ 0.71 $ &$ 1.62$ & $ 0.15$ & $ 0.04$ & $ 0.40$ & $ 1.67$ & $ 319$ \\ $ 361 $ &$ 200. $ &$ 0.500 \times 10^{-1}$ & $ 0.040 $ &$ 0.521 $ &$ 0.521 $ &$ 1.25 $ &$ 0.73 $ &$ 0.73 $ &$ 1.62$ & $ 0.04$ & $ 0.02$ & $ 0.12$ & $ 1.63$ & $ 319$ \\ $ 362 $ &$ 200. $ &$ 0.800 \times 10^{-1}$ & $ 0.025 $ &$ 0.431 $ &$ 0.431 $ &$ 1.16 $ &$ 0.47 $ &$ 0.99 $ &$ 1.59$ & $-0.07$ & $ 0.08$ & $ 0.34$ & $ 1.63$ & $ 319$ \\ $ 363 $ &$ 200. $ &$ 0.130 $ & $ 0.015 $ &$ 0.355 $ &$ 0.355 $ &$ 2.56 $ &$ 3.20 $ &$ 1.78 $ &$ 4.47$ & $ 0.38$ & $ 0.00$ & $ 0.23$ & $ 4.49$ & $ 319$ \\ $ 364 $ &$ 200. $ &$ 0.180 $ & $ 0.011 $ &$ 0.331 $ &$ 0.331 $ &$ 1.75 $ &$ 1.20 $ &$ 1.82 $ &$ 2.80$ & $ 1.06$ & $-0.06$ & $-0.24$ & $ 3.00$ & $ 319$ \\ $ 365 $ &$ 200. $ &$ 0.250 $ & $ 0.008 $ &$ 0.273 $ &$ 0.273 $ &$ 3.60 $ &$ 4.20 $ &$ 2.67 $ &$ 6.14$ & $ 1.36$ & $-0.03$ & $ 0.30$ & $ 6.30$ & $ 319$ \\ $ 366 $ &$ 200. $ &$ 0.400 $ & $ 0.005 $ &$ 0.139 $ &$ 0.139 $ &$ 4.61 $ &$ 4.30 $ &$ 5.09 $ &$ 8.10$ & $ 2.35$ & $-0.08$ & $-0.93$ & $ 8.49$ & $ 319$ \\ \hline \hline \end{tabular} \end{center} \end{tiny} \tablecaption{\label{tab615a5}Continuation of \Tab~\ref{tab615a1}.} \end{table} \begin{table} \begin{tiny} \begin{center} % \input{tabhead} \begin{tabular}{l|cccccccccccccc} \hline \hline Bin & $Q^2$ & $x$ & $y$ & $\sigma^{+~\rm ave}_{r}$ & $F_2^{\rm ave}$ & $\delta_{\rm ave,stat}$ & $\delta_{\rm ave,uncor}$ & $\delta_{\rm ave,cor}$ & $\delta_{\rm ave,exp~tot}$ & $\delta_{\rm ave,rel}$ & $\delta_{\rm ave,gp}$ & $\delta_{\rm ave,had}$ & $\delta_{\rm ave,tot}$ & $\sqrt{s}$\\ $\#$ & GeV$^2$ & & & & & \% & \% & \% & \% & \% & \% & \% &\% & GeV \\ \hline % \input{tables/p_6_615} $ 367 $ &$ 250. $ &$ 0.330 \times 10^{-2}$ & $ 0.749 $ &$ 1.247 $ & --- & $ 2.50 $ &$ 2.70 $ &$ 1.23 $ &$ 3.88$ & $ 0.08$ & $ 0.03$ & $-0.12$ & $ 3.89$ & $ 319$ \\ $ 368 $ &$ 250. $ &$ 0.500 \times 10^{-2}$ & $ 0.554 $ &$ 1.079 $ &$ 1.123 $ &$ 2.29 $ &$ 1.61 $ &$ 0.97 $ &$ 2.97$ & $ 1.02$ & $ 0.06$ & $ 0.18$ & $ 3.14$ & $ 301$ \\ $ 369 $ &$ 250. $ &$ 0.500 \times 10^{-2}$ & $ 0.494 $ &$ 1.102 $ &$ 1.148 $ &$ 1.61 $ &$ 2.10 $ &$ 0.90 $ &$ 2.80$ & $ 0.07$ & $ 0.02$ & $-0.12$ & $ 2.80$ & $ 319$ \\ $ 370 $ &$ 250. $ &$ 0.800 \times 10^{-2}$ & $ 0.309 $ &$ 0.953 $ &$ 0.964 $ &$ 1.04 $ &$ 0.69 $ &$ 0.72 $ &$ 1.44$ & $ 0.32$ & $ 0.03$ & $ 0.03$ & $ 1.48$ & $ 319$ \\ $ 371 $ &$ 250. $ &$ 0.130 \times 10^{-1}$ & $ 0.190 $ &$ 0.825 $ &$ 0.828 $ &$ 1.07 $ &$ 0.64 $ &$ 0.71 $ &$ 1.44$ & $ 0.11$ & $ 0.04$ & $ 0.21$ & $ 1.46$ & $ 319$ \\ $ 372 $ &$ 250. $ &$ 0.200 \times 10^{-1}$ & $ 0.124 $ &$ 0.701 $ &$ 0.701 $ &$ 1.18 $ &$ 0.79 $ &$ 0.70 $ &$ 1.59$ & $ 0.20$ & $ 0.03$ & $ 0.10$ & $ 1.60$ & $ 319$ \\ $ 373 $ &$ 250. $ &$ 0.320 \times 10^{-1}$ & $ 0.077 $ &$ 0.592 $ &$ 0.591 $ &$ 1.25 $ &$ 0.85 $ &$ 0.74 $ &$ 1.68$ & $ 0.35$ & $ 0.03$ & $ 0.31$ & $ 1.74$ & $ 319$ \\ $ 374 $ &$ 250. $ &$ 0.500 \times 10^{-1}$ & $ 0.049 $ &$ 0.521 $ &$ 0.521 $ &$ 1.22 $ &$ 0.80 $ &$ 0.74 $ &$ 1.64$ & $ 0.10$ & $ 0.03$ & $ 0.26$ & $ 1.66$ & $ 319$ \\ $ 375 $ &$ 250. $ &$ 0.800 \times 10^{-1}$ & $ 0.031 $ &$ 0.432 $ &$ 0.432 $ &$ 1.18 $ &$ 0.64 $ &$ 0.97 $ &$ 1.66$ & $ 0.14$ & $ 0.05$ & $ 0.17$ & $ 1.67$ & $ 319$ \\ $ 376 $ &$ 250. $ &$ 0.130 $ & $ 0.019 $ &$ 0.342 $ &$ 0.341 $ &$ 1.77 $ &$ 2.68 $ &$ 0.93 $ &$ 3.34$ & $ 0.54$ & $ 0.01$ & $ 0.35$ & $ 3.40$ & $ 319$ \\ $ 377 $ &$ 250. $ &$ 0.180 $ & $ 0.014 $ &$ 0.325 $ &$ 0.325 $ &$ 1.70 $ &$ 0.78 $ &$ 1.29 $ &$ 2.27$ & $ 0.79$ & $ 0.01$ & $ 0.46$ & $ 2.45$ & $ 319$ \\ $ 378 $ &$ 250. $ &$ 0.250 $ & $ 0.010 $ &$ 0.263 $ &$ 0.263 $ &$ 2.13 $ &$ 3.68 $ &$ 2.21 $ &$ 4.79$ & $ 2.16$ & $-0.03$ & $ 0.00$ & $ 5.26$ & $ 319$ \\ $ 379 $ &$ 250. $ &$ 0.400 $ & $ 0.006 $ &$ 0.140 $ &$ 0.139 $ &$ 3.13 $ &$ 3.97 $ &$ 4.32 $ &$ 6.65$ & $ 3.26$ & $-0.08$ & $-0.70$ & $ 7.44$ & $ 319$ \\ $ 380 $ &$ 300. $ &$ 0.390 \times 10^{-2}$ & $ 0.760 $ &$ 1.185 $ & --- & $ 2.71 $ &$ 2.70 $ &$ 1.05 $ &$ 3.96$ & $ 0.06$ & $ 0.03$ & $-0.12$ & $ 3.97$ & $ 319$ \\ $ 381 $ &$ 300. $ &$ 0.500 \times 10^{-2}$ & $ 0.665 $ &$ 1.127 $ & --- & $ 2.94 $ &$ 2.64 $ &$ 0.93 $ &$ 4.06$ & $ 0.46$ & $ 0.14$ & $ 0.32$ & $ 4.10$ & $ 301$ \\ $ 382 $ &$ 300. $ &$ 0.500 \times 10^{-2}$ & $ 0.593 $ &$ 1.124 $ &$ 1.197 $ &$ 2.51 $ &$ 2.60 $ &$ 1.08 $ &$ 3.77$ & $-0.04$ & $ 0.00$ & $ 0.16$ & $ 3.77$ & $ 319$ \\ $ 383 $ &$ 300. $ &$ 0.800 \times 10^{-2}$ & $ 0.416 $ &$ 0.982 $ &$ 1.000 $ &$ 2.29 $ &$ 1.12 $ &$ 0.88 $ &$ 2.70$ & $ 0.58$ & $ 0.07$ & $ 0.07$ & $ 2.76$ & $ 301$ \\ $ 384 $ &$ 300. $ &$ 0.800 \times 10^{-2}$ & $ 0.371 $ &$ 0.971 $ &$ 0.989 $ &$ 1.46 $ &$ 0.94 $ &$ 0.93 $ &$ 1.96$ & $ 0.24$ & $ 0.03$ & $-0.02$ & $ 1.98$ & $ 319$ \\ $ 385 $ &$ 300. $ &$ 0.130 \times 10^{-1}$ & $ 0.228 $ &$ 0.818 $ &$ 0.822 $ &$ 1.15 $ &$ 0.71 $ &$ 0.71 $ &$ 1.53$ & $ 0.26$ & $ 0.02$ & $ 0.04$ & $ 1.55$ & $ 319$ \\ $ 386 $ &$ 300. $ &$ 0.200 \times 10^{-1}$ & $ 0.148 $ &$ 0.699 $ &$ 0.700 $ &$ 1.28 $ &$ 0.90 $ &$ 0.72 $ &$ 1.72$ & $ 0.36$ & $ 0.03$ & $ 0.10$ & $ 1.76$ & $ 319$ \\ $ 387 $ &$ 300. $ &$ 0.320 \times 10^{-1}$ & $ 0.093 $ &$ 0.613 $ &$ 0.613 $ &$ 1.32 $ &$ 0.90 $ &$ 0.75 $ &$ 1.76$ & $ 0.15$ & $ 0.03$ & $ 0.32$ & $ 1.80$ & $ 319$ \\ $ 388 $ &$ 300. $ &$ 0.500 \times 10^{-1}$ & $ 0.059 $ &$ 0.503 $ &$ 0.503 $ &$ 1.35 $ &$ 0.81 $ &$ 0.74 $ &$ 1.74$ & $ 0.30$ & $ 0.02$ & $ 0.12$ & $ 1.77$ & $ 319$ \\ $ 389 $ &$ 300. $ &$ 0.800 \times 10^{-1}$ & $ 0.037 $ &$ 0.434 $ &$ 0.433 $ &$ 1.29 $ &$ 0.64 $ &$ 0.77 $ &$ 1.63$ & $ 0.15$ & $ 0.04$ & $ 0.14$ & $ 1.65$ & $ 319$ \\ $ 390 $ &$ 300. $ &$ 0.130 $ & $ 0.023 $ &$ 0.353 $ &$ 0.352 $ &$ 1.85 $ &$ 3.03 $ &$ 1.01 $ &$ 3.69$ & $ 0.81$ & $ 0.01$ & $ 0.22$ & $ 3.79$ & $ 319$ \\ $ 391 $ &$ 300. $ &$ 0.180 $ & $ 0.016 $ &$ 0.318 $ &$ 0.318 $ &$ 1.82 $ &$ 0.93 $ &$ 0.88 $ &$ 2.23$ & $ 0.32$ & $ 0.06$ & $ 0.36$ & $ 2.28$ & $ 319$ \\ $ 392 $ &$ 300. $ &$ 0.250 $ & $ 0.012 $ &$ 0.263 $ &$ 0.262 $ &$ 2.13 $ &$ 4.45 $ &$ 2.35 $ &$ 5.47$ & $ 2.12$ & $-0.03$ & $ 0.04$ & $ 5.86$ & $ 319$ \\ $ 393 $ &$ 300. $ &$ 0.400 $ & $ 0.007 $ &$ 0.155 $ &$ 0.155 $ &$ 3.25 $ &$ 5.38 $ &$ 3.69 $ &$ 7.28$ & $ 3.46$ & $-0.07$ & $-0.60$ & $ 8.09$ & $ 319$ \\ $ 394 $ &$ 400. $ &$ 0.530 \times 10^{-2}$ & $ 0.746 $ &$ 1.158 $ & --- & $ 2.90 $ &$ 2.90 $ &$ 1.04 $ &$ 4.23$ & $ 0.16$ & $ 0.03$ & $-0.05$ & $ 4.24$ & $ 319$ \\ $ 395 $ &$ 400. $ &$ 0.800 \times 10^{-2}$ & $ 0.554 $ &$ 0.961 $ &$ 0.996 $ &$ 2.63 $ &$ 1.77 $ &$ 0.78 $ &$ 3.27$ & $ 0.40$ & $ 0.13$ & $ 0.02$ & $ 3.29$ & $ 301$ \\ $ 396 $ &$ 400. $ &$ 0.800 \times 10^{-2}$ & $ 0.494 $ &$ 1.023 $ &$ 1.060 $ &$ 1.70 $ &$ 0.91 $ &$ 1.09 $ &$ 2.22$ & $ 0.41$ & $ 0.02$ & $-0.03$ & $ 2.25$ & $ 319$ \\ $ 397 $ &$ 400. $ &$ 0.130 \times 10^{-1}$ & $ 0.341 $ &$ 0.859 $ &$ 0.867 $ &$ 2.95 $ &$ 0.57 $ &$ 0.74 $ &$ 3.10$ & $ 0.48$ & $ 0.04$ & $ 0.15$ & $ 3.14$ & $ 301$ \\ $ 398 $ &$ 400. $ &$ 0.130 \times 10^{-1}$ & $ 0.304 $ &$ 0.846 $ &$ 0.854 $ &$ 1.50 $ &$ 1.09 $ &$ 0.76 $ &$ 2.00$ & $ 0.25$ & $ 0.03$ & $ 0.02$ & $ 2.02$ & $ 319$ \\ $ 399 $ &$ 400. $ &$ 0.200 \times 10^{-1}$ & $ 0.198 $ &$ 0.711 $ &$ 0.713 $ &$ 1.46 $ &$ 0.93 $ &$ 0.72 $ &$ 1.88$ & $ 0.12$ & $ 0.05$ & $ 0.12$ & $ 1.88$ & $ 319$ \\ $ 400 $ &$ 400. $ &$ 0.320 \times 10^{-1}$ & $ 0.124 $ &$ 0.607 $ &$ 0.607 $ &$ 1.47 $ &$ 0.94 $ &$ 0.72 $ &$ 1.89$ & $ 0.34$ & $ 0.02$ & $ 0.15$ & $ 1.93$ & $ 319$ \\ $ 401 $ &$ 400. $ &$ 0.500 \times 10^{-1}$ & $ 0.079 $ &$ 0.509 $ &$ 0.509 $ &$ 1.47 $ &$ 0.83 $ &$ 0.73 $ &$ 1.84$ & $ 0.24$ & $ 0.03$ & $ 0.32$ & $ 1.88$ & $ 319$ \\ $ 402 $ &$ 400. $ &$ 0.800 \times 10^{-1}$ & $ 0.049 $ &$ 0.444 $ &$ 0.444 $ &$ 1.48 $ &$ 0.78 $ &$ 0.77 $ &$ 1.85$ & $-0.01$ & $ 0.04$ & $ 0.17$ & $ 1.85$ & $ 319$ \\ $ 403 $ &$ 400. $ &$ 0.130 $ & $ 0.030 $ &$ 0.363 $ &$ 0.362 $ &$ 1.60 $ &$ 0.86 $ &$ 0.77 $ &$ 1.97$ & $ 0.31$ & $ 0.05$ & $ 0.24$ & $ 2.01$ & $ 319$ \\ $ 404 $ &$ 400. $ &$ 0.250 $ & $ 0.016 $ &$ 0.257 $ &$ 0.256 $ &$ 1.86 $ &$ 1.38 $ &$ 1.19 $ &$ 2.60$ & $ 1.22$ & $-0.03$ & $ 0.07$ & $ 2.87$ & $ 319$ \\ $ 405 $ &$ 400. $ &$ 0.400 $ & $ 0.010 $ &$ 0.160 $ &$ 0.160 $ &$ 3.65 $ &$ 3.70 $ &$ 3.66 $ &$ 6.36$ & $ 2.67$ & $-0.07$ & $-0.48$ & $ 6.91$ & $ 319$ \\ $ 406 $ &$ 500. $ &$ 0.660 \times 10^{-2}$ & $ 0.749 $ &$ 1.016 $ & --- & $ 3.31 $ &$ 2.90 $ &$ 0.92 $ &$ 4.49$ & $ 0.19$ & $ 0.03$ & $-0.09$ & $ 4.50$ & $ 319$ \\ $ 407 $ &$ 500. $ &$ 0.800 \times 10^{-2}$ & $ 0.693 $ &$ 1.011 $ & --- & $ 4.23 $ &$ 5.00 $ &$ 1.05 $ &$ 6.63$ & $ 0.02$ & $ 0.00$ & $ 0.28$ & $ 6.64$ & $ 301$ \\ $ 408 $ &$ 500. $ &$ 0.800 \times 10^{-2}$ & $ 0.618 $ &$ 1.029 $ & --- & $ 3.51 $ &$ 3.00 $ &$ 1.06 $ &$ 4.73$ & $ 0.00$ & $ 0.01$ & $ 0.10$ & $ 4.74$ & $ 319$ \\ $ 409 $ &$ 500. $ &$ 0.130 \times 10^{-1}$ & $ 0.426 $ &$ 0.883 $ &$ 0.898 $ &$ 3.34 $ &$ 5.00 $ &$ 0.98 $ &$ 6.09$ & $ 0.15$ & $ 0.03$ & $-0.04$ & $ 6.10$ & $ 301$ \\ $ 410 $ &$ 500. $ &$ 0.130 \times 10^{-1}$ & $ 0.380 $ &$ 0.884 $ &$ 0.900 $ &$ 2.42 $ &$ 2.70 $ &$ 1.01 $ &$ 3.76$ & $ 0.53$ & $ 0.02$ & $-0.22$ & $ 3.81$ & $ 319$ \\ $ 411 $ &$ 500. $ &$ 0.200 \times 10^{-1}$ & $ 0.247 $ &$ 0.737 $ &$ 0.741 $ &$ 2.00 $ &$ 2.07 $ &$ 0.80 $ &$ 2.99$ & $ 0.12$ & $ 0.03$ & $ 0.06$ & $ 2.99$ & $ 319$ \\ $ 412 $ &$ 500. $ &$ 0.320 \times 10^{-1}$ & $ 0.154 $ &$ 0.623 $ &$ 0.623 $ &$ 2.01 $ &$ 2.05 $ &$ 0.76 $ &$ 2.97$ & $ 0.17$ & $ 0.03$ & $ 0.03$ & $ 2.98$ & $ 319$ \\ $ 413 $ &$ 500. $ &$ 0.500 \times 10^{-1}$ & $ 0.099 $ &$ 0.517 $ &$ 0.516 $ &$ 2.11 $ &$ 2.25 $ &$ 1.01 $ &$ 3.25$ & $ 0.54$ & $ 0.03$ & $-0.05$ & $ 3.29$ & $ 319$ \\ $ 414 $ &$ 500. $ &$ 0.800 \times 10^{-1}$ & $ 0.062 $ &$ 0.438 $ &$ 0.437 $ &$ 2.22 $ &$ 2.18 $ &$ 0.85 $ &$ 3.23$ & $ 0.13$ & $ 0.03$ & $ 0.28$ & $ 3.24$ & $ 319$ \\ $ 415 $ &$ 500. $ &$ 0.130 $ & $ 0.038 $ &$ 0.347 $ &$ 0.346 $ &$ 2.64 $ &$ 2.24 $ &$ 1.16 $ &$ 3.65$ & $ 0.00$ & $ 0.04$ & $ 0.47$ & $ 3.68$ & $ 319$ \\ $ 416 $ &$ 500. $ &$ 0.180 $ & $ 0.027 $ &$ 0.291 $ &$ 0.290 $ &$ 2.96 $ &$ 2.95 $ &$ 1.16 $ &$ 4.34$ & $ 0.74$ & $ 0.01$ & $ 0.33$ & $ 4.41$ & $ 319$ \\ $ 417 $ &$ 500. $ &$ 0.250 $ & $ 0.020 $ &$ 0.254 $ &$ 0.253 $ &$ 3.59 $ &$ 3.47 $ &$ 2.32 $ &$ 5.51$ & $ 2.83$ & $-0.03$ & $-0.25$ & $ 6.20$ & $ 319$ \\ $ 418 $ &$ 500. $ &$ 0.400 $ & $ 0.012 $ &$ 0.166 $ &$ 0.165 $ &$ 5.10 $ &$ 5.86 $ &$ 4.50 $ &$ 8.98$ & $ 4.31$ & $-0.10$ & $-0.21$ & $ 9.96$ & $ 319$ \\ $ 419 $ &$ 650. $ &$ 0.850 \times 10^{-2}$ & $ 0.848 $ &$ 0.922 $ & --- & $ 4.63 $ &$ 1.82 $ &$ 1.33 $ &$ 5.15$ & $ 1.41$ & $ 0.09$ & $ 0.48$ & $ 5.36$ & $ 301$ \\ $ 420 $ &$ 650. $ &$ 0.850 \times 10^{-2}$ & $ 0.756 $ &$ 0.986 $ & --- & $ 3.81 $ &$ 3.70 $ &$ 0.91 $ &$ 5.38$ & $-0.09$ & $ 0.03$ & $-0.05$ & $ 5.39$ & $ 319$ \\ $ 421 $ &$ 650. $ &$ 0.130 \times 10^{-1}$ & $ 0.554 $ &$ 0.846 $ &$ 0.874 $ &$ 2.65 $ &$ 1.13 $ &$ 0.76 $ &$ 2.98$ & $ 0.34$ & $ 0.04$ & $-0.09$ & $ 3.00$ & $ 301$ \\ $ 422 $ &$ 650. $ &$ 0.130 \times 10^{-1}$ & $ 0.494 $ &$ 0.851 $ &$ 0.880 $ &$ 1.94 $ &$ 0.88 $ &$ 0.92 $ &$ 2.32$ & $ 0.22$ & $ 0.03$ & $ 0.04$ & $ 2.33$ & $ 319$ \\ $ 423 $ &$ 650. $ &$ 0.200 \times 10^{-1}$ & $ 0.360 $ &$ 0.702 $ &$ 0.709 $ &$ 4.15 $ &$ 3.70 $ &$ 0.96 $ &$ 5.64$ & $ 0.20$ & $ 0.03$ & $ 0.05$ & $ 5.64$ & $ 301$ \\ $ 424 $ &$ 650. $ &$ 0.200 \times 10^{-1}$ & $ 0.321 $ &$ 0.745 $ &$ 0.753 $ &$ 1.92 $ &$ 0.83 $ &$ 0.70 $ &$ 2.20$ & $ 0.25$ & $ 0.04$ & $ 0.05$ & $ 2.22$ & $ 319$ \\ $ 425 $ &$ 650. $ &$ 0.320 \times 10^{-1}$ & $ 0.201 $ &$ 0.615 $ &$ 0.617 $ &$ 1.82 $ &$ 0.95 $ &$ 0.72 $ &$ 2.18$ & $ 0.30$ & $ 0.04$ & $ 0.09$ & $ 2.20$ & $ 319$ \\ $ 426 $ &$ 650. $ &$ 0.500 \times 10^{-1}$ & $ 0.128 $ &$ 0.512 $ &$ 0.512 $ &$ 1.85 $ &$ 0.92 $ &$ 0.72 $ &$ 2.18$ & $ 0.26$ & $ 0.02$ & $ 0.28$ & $ 2.22$ & $ 319$ \\ $ 427 $ &$ 650. $ &$ 0.800 \times 10^{-1}$ & $ 0.080 $ &$ 0.446 $ &$ 0.446 $ &$ 1.86 $ &$ 0.92 $ &$ 0.70 $ &$ 2.19$ & $ 0.26$ & $ 0.04$ & $ 0.15$ & $ 2.21$ & $ 319$ \\ $ 428 $ &$ 650. $ &$ 0.130 $ & $ 0.049 $ &$ 0.364 $ &$ 0.363 $ &$ 2.05 $ &$ 0.96 $ &$ 0.77 $ &$ 2.39$ & $ 0.41$ & $ 0.05$ & $ 0.28$ & $ 2.44$ & $ 319$ \\ $ 429 $ &$ 650. $ &$ 0.180 $ & $ 0.036 $ &$ 0.303 $ &$ 0.302 $ &$ 3.34 $ &$ 3.45 $ &$ 1.30 $ &$ 4.98$ & $ 1.10$ & $ 0.01$ & $ 0.30$ & $ 5.10$ & $ 319$ \\ $ 430 $ &$ 650. $ &$ 0.250 $ & $ 0.026 $ &$ 0.252 $ &$ 0.251 $ &$ 2.45 $ &$ 1.42 $ &$ 0.95 $ &$ 2.99$ & $ 0.86$ & $ 0.02$ & $ 0.08$ & $ 3.11$ & $ 319$ \\ $ 431 $ &$ 650. $ &$ 0.400 $ & $ 0.016 $ &$ 0.144 $ &$ 0.144 $ &$ 5.40 $ &$ 3.20 $ &$ 3.08 $ &$ 6.99$ & $ 3.36$ & $-0.20$ & $-0.95$ & $ 7.82$ & $ 319$ \\ $ 432 $ &$ 650. $ &$ 0.650 $ & $ 0.010 $ &$ 0.022 $ &$ 0.022 $ &$ 13.82 $ &$ 7.79 $ &$ 5.57 $ &$ 16.8$ & $ 3.81$ & $-0.11$ & $-1.37$ & $17.30$ & $ 319$ \\ $ 433 $ &$ 800. $ &$ 0.105 \times 10^{-1}$ & $ 0.753 $ &$ 0.947 $ & --- & $ 4.50 $ &$ 4.20 $ &$ 0.94 $ &$ 6.23$ & $ 0.48$ & $ 0.02$ & $-0.01$ & $ 6.25$ & $ 319$ \\ $ 434 $ &$ 800. $ &$ 0.130 \times 10^{-1}$ & $ 0.682 $ &$ 0.890 $ & --- & $ 3.45 $ &$ 1.49 $ &$ 0.86 $ &$ 3.85$ & $ 1.10$ & $-0.01$ & $ 0.12$ & $ 4.01$ & $ 301$ \\ $ 435 $ &$ 800. $ &$ 0.130 \times 10^{-1}$ & $ 0.608 $ &$ 0.850 $ & --- & $ 2.43 $ &$ 1.05 $ &$ 1.05 $ &$ 2.85$ & $ 0.48$ & $ 0.02$ & $ 0.06$ & $ 2.89$ & $ 319$ \\ $ 436 $ &$ 800. $ &$ 0.200 \times 10^{-1}$ & $ 0.443 $ &$ 0.737 $ &$ 0.751 $ &$ 4.12 $ &$ 2.30 $ &$ 0.84 $ &$ 4.79$ & $ 0.35$ & $ 0.04$ & $-0.15$ & $ 4.81$ & $ 301$ \\ $ 437 $ &$ 800. $ &$ 0.200 \times 10^{-1}$ & $ 0.395 $ &$ 0.752 $ &$ 0.766 $ &$ 2.55 $ &$ 1.32 $ &$ 0.92 $ &$ 3.02$ & $ 0.02$ & $ 0.04$ & $ 0.09$ & $ 3.02$ & $ 319$ \\ $ 438 $ &$ 800. $ &$ 0.320 \times 10^{-1}$ & $ 0.247 $ &$ 0.642 $ &$ 0.645 $ &$ 2.06 $ &$ 1.01 $ &$ 0.69 $ &$ 2.39$ & $ 0.45$ & $ 0.03$ & $ 0.09$ & $ 2.44$ & $ 319$ \\ $ 439 $ &$ 800. $ &$ 0.500 \times 10^{-1}$ & $ 0.158 $ &$ 0.516 $ &$ 0.516 $ &$ 2.05 $ &$ 0.99 $ &$ 0.73 $ &$ 2.39$ & $ 0.31$ & $ 0.03$ & $ 0.26$ & $ 2.43$ & $ 319$ \\ $ 440 $ &$ 800. $ &$ 0.800 \times 10^{-1}$ & $ 0.099 $ &$ 0.448 $ &$ 0.447 $ &$ 2.17 $ &$ 1.04 $ &$ 0.78 $ &$ 2.53$ & $ 0.25$ & $ 0.03$ & $ 0.32$ & $ 2.56$ & $ 319$ \\ $ 441 $ &$ 800. $ &$ 0.130 $ & $ 0.061 $ &$ 0.362 $ &$ 0.361 $ &$ 2.40 $ &$ 0.99 $ &$ 0.77 $ &$ 2.71$ & $ 0.27$ & $ 0.03$ & $ 0.17$ & $ 2.73$ & $ 319$ \\ $ 442 $ &$ 800. $ &$ 0.180 $ & $ 0.044 $ &$ 0.325 $ &$ 0.324 $ &$ 3.76 $ &$ 3.09 $ &$ 0.97 $ &$ 4.97$ & $ 0.51$ & $ 0.02$ & $ 0.27$ & $ 5.00$ & $ 319$ \\ $ 443 $ &$ 800. $ &$ 0.250 $ & $ 0.032 $ &$ 0.256 $ &$ 0.255 $ &$ 2.89 $ &$ 1.12 $ &$ 1.01 $ &$ 3.26$ & $ 0.99$ & $ 0.05$ & $ 0.27$ & $ 3.42$ & $ 319$ \\ $ 444 $ &$ 800. $ &$ 0.400 $ & $ 0.020 $ &$ 0.130 $ &$ 0.129 $ &$ 5.98 $ &$ 3.41 $ &$ 2.48 $ &$ 7.31$ & $ 2.54$ & $-0.13$ & $-0.50$ & $ 7.76$ & $ 319$ \\ $ 445 $ &$ 800. $ &$ 0.650 $ & $ 0.012 $ &$ 0.020 $ &$ 0.020 $ &$ 12.11 $ &$ 7.21 $ &$ 5.31 $ &$ 15.1$ & $ 4.05$ & $-0.12$ & $-0.72$ & $15.61$ & $ 319$ \\ \hline \hline \end{tabular} \end{center} \end{tiny} \tablecaption{\label{tab615a6}Continuation of \Tab~\ref{tab615a1}.} \end{table} \begin{table} \begin{tiny} \begin{center} % \input{tabhead} \begin{tabular}{l|cccccccccccccc} \hline \hline Bin & $Q^2$ & $x$ & $y$ & $\sigma^{+~\rm ave}_{r}$ & $F_2^{\rm ave}$ & $\delta_{\rm ave,stat}$ & $\delta_{\rm ave,uncor}$ & $\delta_{\rm ave,cor}$ & $\delta_{\rm ave,exp~tot}$ & $\delta_{\rm ave,rel}$ & $\delta_{\rm ave,gp}$ & $\delta_{\rm ave,had}$ & $\delta_{\rm ave,tot}$ & $\sqrt{s}$\\ $\#$ & GeV$^2$ & & & & & \% & \% & \% & \% & \% & \% & \% &\% & GeV \\ \hline % \input{tables/p_7_615} $ 446 $ &$ 1000. $ &$ 0.130 \times 10^{-1}$ & $ 0.760 $ &$ 0.871 $ & --- & $ 5.04 $ &$ 3.70 $ &$ 1.31 $ &$ 6.39$ & $ 0.41$ & $-0.02$ & $-0.06$ & $ 6.40$ & $ 319$ \\ $ 447 $ &$ 1000. $ &$ 0.200 \times 10^{-1}$ & $ 0.554 $ &$ 0.738 $ &$ 0.762 $ &$ 5.46 $ &$ 3.70 $ &$ 1.00 $ &$ 6.67$ & $ 0.11$ & $ 0.01$ & $-0.07$ & $ 6.67$ & $ 301$ \\ $ 448 $ &$ 1000. $ &$ 0.200 \times 10^{-1}$ & $ 0.494 $ &$ 0.732 $ &$ 0.756 $ &$ 3.93 $ &$ 3.00 $ &$ 0.97 $ &$ 5.04$ & $ 0.28$ & $ 0.02$ & $-0.29$ & $ 5.06$ & $ 319$ \\ $ 449 $ &$ 1000. $ &$ 0.320 \times 10^{-1}$ & $ 0.309 $ &$ 0.637 $ &$ 0.644 $ &$ 3.29 $ &$ 2.46 $ &$ 1.00 $ &$ 4.23$ & $ 0.43$ & $ 0.03$ & $-0.09$ & $ 4.25$ & $ 319$ \\ $ 450 $ &$ 1000. $ &$ 0.500 \times 10^{-1}$ & $ 0.198 $ &$ 0.556 $ &$ 0.557 $ &$ 3.21 $ &$ 2.35 $ &$ 0.78 $ &$ 4.05$ & $ 0.27$ & $ 0.03$ & $-0.03$ & $ 4.06$ & $ 319$ \\ $ 451 $ &$ 1000. $ &$ 0.800 \times 10^{-1}$ & $ 0.124 $ &$ 0.444 $ &$ 0.444 $ &$ 3.35 $ &$ 2.28 $ &$ 0.81 $ &$ 4.13$ & $ 0.16$ & $ 0.03$ & $ 0.26$ & $ 4.15$ & $ 319$ \\ $ 452 $ &$ 1000. $ &$ 0.130 $ & $ 0.076 $ &$ 0.394 $ &$ 0.393 $ &$ 3.99 $ &$ 2.65 $ &$ 0.95 $ &$ 4.88$ & $ 0.45$ & $ 0.03$ & $ 0.04$ & $ 4.90$ & $ 319$ \\ $ 453 $ &$ 1000. $ &$ 0.180 $ & $ 0.055 $ &$ 0.327 $ &$ 0.326 $ &$ 4.35 $ &$ 2.68 $ &$ 0.79 $ &$ 5.17$ & $ 0.45$ & $ 0.02$ & $ 0.24$ & $ 5.19$ & $ 319$ \\ $ 454 $ &$ 1000. $ &$ 0.250 $ & $ 0.040 $ &$ 0.256 $ &$ 0.255 $ &$ 4.90 $ &$ 3.36 $ &$ 1.33 $ &$ 6.09$ & $ 1.03$ & $ 0.00$ & $ 0.33$ & $ 6.18$ & $ 319$ \\ $ 455 $ &$ 1000. $ &$ 0.400 $ & $ 0.025 $ &$ 0.125 $ &$ 0.124 $ &$ 7.64 $ &$ 5.71 $ &$ 2.88 $ &$ 9.96$ & $ 3.01$ & $-0.05$ & $-0.17$ & $10.41$ & $ 319$ \\ $ 456 $ &$ 1000. $ &$ 0.650 $ & $ 0.015 $ &$ 0.019 $ &$ 0.019 $ &$ 13.98 $ &$ 7.73 $ &$ 5.35 $ &$ 16.8$ & $ 6.73$ & $-0.12$ & $-0.07$ & $18.14$ & $ 319$ \\ $ 457 $ &$ 1200. $ &$ 0.140 \times 10^{-1}$ & $ 0.950 $ &$ 0.875 $ & --- & $ 5.50 $ &$ 1.05 $ &$ 1.30 $ &$ 5.75$ & $ 1.40$ & $ 0.11$ & $ 0.43$ & $ 5.93$ & $ 301$ \\ $ 458 $ &$ 1200. $ &$ 0.140 \times 10^{-1}$ & $ 0.847 $ &$ 0.838 $ & --- & $ 3.53 $ &$ 0.90 $ &$ 2.47 $ &$ 4.40$ & $ 0.19$ & $ 0.06$ & $ 0.06$ & $ 4.40$ & $ 319$ \\ $ 459 $ &$ 1200. $ &$ 0.200 \times 10^{-1}$ & $ 0.665 $ &$ 0.705 $ & --- & $ 4.18 $ &$ 1.13 $ &$ 0.71 $ &$ 4.39$ & $ 0.37$ & $ 0.09$ & $-0.03$ & $ 4.41$ & $ 301$ \\ $ 460 $ &$ 1200. $ &$ 0.200 \times 10^{-1}$ & $ 0.593 $ &$ 0.786 $ &$ 0.826 $ &$ 2.87 $ &$ 1.04 $ &$ 0.98 $ &$ 3.20$ & $ 0.29$ & $ 0.03$ & $ 0.00$ & $ 3.22$ & $ 319$ \\ $ 461 $ &$ 1200. $ &$ 0.320 \times 10^{-1}$ & $ 0.416 $ &$ 0.591 $ &$ 0.601 $ &$ 3.95 $ &$ 1.51 $ &$ 0.70 $ &$ 4.29$ & $-0.03$ & $ 0.08$ & $ 0.09$ & $ 4.29$ & $ 301$ \\ $ 462 $ &$ 1200. $ &$ 0.320 \times 10^{-1}$ & $ 0.371 $ &$ 0.649 $ &$ 0.660 $ &$ 2.80 $ &$ 1.11 $ &$ 0.88 $ &$ 3.14$ & $ 0.32$ & $ 0.03$ & $-0.01$ & $ 3.15$ & $ 319$ \\ $ 463 $ &$ 1200. $ &$ 0.500 \times 10^{-1}$ & $ 0.237 $ &$ 0.516 $ &$ 0.519 $ &$ 2.17 $ &$ 0.69 $ &$ 0.70 $ &$ 2.38$ & $ 0.31$ & $ 0.02$ & $ 0.22$ & $ 2.41$ & $ 319$ \\ $ 464 $ &$ 1200. $ &$ 0.800 \times 10^{-1}$ & $ 0.148 $ &$ 0.453 $ &$ 0.453 $ &$ 2.22 $ &$ 0.68 $ &$ 0.70 $ &$ 2.43$ & $ 0.29$ & $ 0.03$ & $ 0.21$ & $ 2.46$ & $ 319$ \\ $ 465 $ &$ 1200. $ &$ 0.130 $ & $ 0.091 $ &$ 0.368 $ &$ 0.366 $ &$ 2.45 $ &$ 0.62 $ &$ 0.82 $ &$ 2.66$ & $ 0.43$ & $ 0.04$ & $ 0.21$ & $ 2.70$ & $ 319$ \\ $ 466 $ &$ 1200. $ &$ 0.180 $ & $ 0.066 $ &$ 0.328 $ &$ 0.326 $ &$ 4.93 $ &$ 2.53 $ &$ 0.92 $ &$ 5.62$ & $ 0.31$ & $ 0.03$ & $ 0.42$ & $ 5.64$ & $ 319$ \\ $ 467 $ &$ 1200. $ &$ 0.250 $ & $ 0.047 $ &$ 0.248 $ &$ 0.247 $ &$ 2.75 $ &$ 0.78 $ &$ 0.81 $ &$ 2.97$ & $ 0.58$ & $ 0.04$ & $ 0.14$ & $ 3.03$ & $ 319$ \\ $ 468 $ &$ 1200. $ &$ 0.400 $ & $ 0.030 $ &$ 0.137 $ &$ 0.136 $ &$ 4.30 $ &$ 2.24 $ &$ 1.71 $ &$ 5.14$ & $ 1.87$ & $-0.04$ & $-0.19$ & $ 5.48$ & $ 319$ \\ $ 469 $ &$ 1200. $ &$ 0.650 $ & $ 0.018 $ &$ 0.021 $ &$ 0.021 $ &$ 13.76 $ &$ 7.84 $ &$ 4.47 $ &$ 16.5$ & $ 5.89$ & $-0.20$ & $-0.51$ & $17.49$ & $ 319$ \\ $ 470 $ &$ 1500. $ &$ 0.200 \times 10^{-1}$ & $ 0.831 $ &$ 0.731 $ & --- & $ 6.00 $ &$ 3.87 $ &$ 0.89 $ &$ 7.20$ & $ 0.28$ & $ 0.02$ & $ 0.19$ & $ 7.21$ & $ 301$ \\ $ 471 $ &$ 1500. $ &$ 0.200 \times 10^{-1}$ & $ 0.741 $ &$ 0.689 $ & --- & $ 3.89 $ &$ 1.31 $ &$ 1.51 $ &$ 4.37$ & $ 0.52$ & $ 0.01$ & $ 0.04$ & $ 4.40$ & $ 319$ \\ $ 472 $ &$ 1500. $ &$ 0.320 \times 10^{-1}$ & $ 0.520 $ &$ 0.557 $ &$ 0.575 $ &$ 6.44 $ &$ 2.29 $ &$ 0.78 $ &$ 6.88$ & $ 0.11$ & $ 0.06$ & $-0.05$ & $ 6.88$ & $ 301$ \\ $ 473 $ &$ 1500. $ &$ 0.320 \times 10^{-1}$ & $ 0.463 $ &$ 0.620 $ &$ 0.639 $ &$ 3.54 $ &$ 1.27 $ &$ 0.81 $ &$ 3.85$ & $ 0.17$ & $ 0.03$ & $ 0.00$ & $ 3.85$ & $ 319$ \\ $ 474 $ &$ 1500. $ &$ 0.500 \times 10^{-1}$ & $ 0.296 $ &$ 0.553 $ &$ 0.560 $ &$ 2.58 $ &$ 0.87 $ &$ 0.73 $ &$ 2.82$ & $ 0.22$ & $ 0.02$ & $ 0.07$ & $ 2.83$ & $ 319$ \\ $ 475 $ &$ 1500. $ &$ 0.800 \times 10^{-1}$ & $ 0.185 $ &$ 0.446 $ &$ 0.448 $ &$ 2.63 $ &$ 0.96 $ &$ 0.73 $ &$ 2.89$ & $ 0.37$ & $ 0.02$ & $ 0.21$ & $ 2.93$ & $ 319$ \\ $ 476 $ &$ 1500. $ &$ 0.130 $ & $ 0.114 $ &$ 0.341 $ &$ 0.340 $ &$ 3.41 $ &$ 1.11 $ &$ 0.79 $ &$ 3.68$ & $ 0.17$ & $ 0.04$ & $ 0.17$ & $ 3.68$ & $ 319$ \\ $ 477 $ &$ 1500. $ &$ 0.180 $ & $ 0.082 $ &$ 0.318 $ &$ 0.316 $ &$ 3.32 $ &$ 0.92 $ &$ 0.79 $ &$ 3.53$ & $ 0.50$ & $ 0.03$ & $ 0.11$ & $ 3.57$ & $ 319$ \\ $ 478 $ &$ 1500. $ &$ 0.250 $ & $ 0.059 $ &$ 0.255 $ &$ 0.253 $ &$ 3.82 $ &$ 1.53 $ &$ 0.86 $ &$ 4.20$ & $ 0.81$ & $ 0.03$ & $ 0.16$ & $ 4.28$ & $ 319$ \\ $ 479 $ &$ 1500. $ &$ 0.400 $ & $ 0.037 $ &$ 0.124 $ &$ 0.123 $ &$ 5.66 $ &$ 2.31 $ &$ 1.47 $ &$ 6.29$ & $ 1.91$ & $-0.04$ & $ 0.23$ & $ 6.58$ & $ 319$ \\ $ 480 $ &$ 1500. $ &$ 0.650 $ & $ 0.023 $ &$ 0.013 $ &$ 0.013 $ &$ 18.46 $ &$ 6.82 $ &$ 3.77 $ &$ 20.0$ & $ 5.50$ & $-0.01$ & $-1.43$ & $20.82$ & $ 319$ \\ $ 481 $ &$ 2000. $ &$ 0.320 \times 10^{-1}$ & $ 0.693 $ &$ 0.595 $ & --- & $ 6.11 $ &$ 2.45 $ &$ 0.75 $ &$ 6.63$ & $ 0.12$ & $-0.02$ & $-0.04$ & $ 6.63$ & $ 301$ \\ $ 482 $ &$ 2000. $ &$ 0.320 \times 10^{-1}$ & $ 0.618 $ &$ 0.624 $ & --- & $ 4.13 $ &$ 1.47 $ &$ 1.49 $ &$ 4.63$ & $ 0.18$ & $ 0.03$ & $ 0.02$ & $ 4.64$ & $ 319$ \\ $ 483 $ &$ 2000. $ &$ 0.500 \times 10^{-1}$ & $ 0.443 $ &$ 0.496 $ &$ 0.510 $ &$ 5.68 $ &$ 1.70 $ &$ 0.71 $ &$ 5.97$ & $ 0.32$ & $ 0.02$ & $ 0.04$ & $ 5.98$ & $ 301$ \\ $ 484 $ &$ 2000. $ &$ 0.500 \times 10^{-1}$ & $ 0.395 $ &$ 0.503 $ &$ 0.516 $ &$ 4.16 $ &$ 1.34 $ &$ 0.80 $ &$ 4.45$ & $ 0.29$ & $ 0.03$ & $ 0.06$ & $ 4.46$ & $ 319$ \\ $ 485 $ &$ 2000. $ &$ 0.800 \times 10^{-1}$ & $ 0.247 $ &$ 0.433 $ &$ 0.437 $ &$ 3.16 $ &$ 0.90 $ &$ 0.72 $ &$ 3.37$ & $ 0.15$ & $ 0.03$ & $ 0.22$ & $ 3.38$ & $ 319$ \\ $ 486 $ &$ 2000. $ &$ 0.130 $ & $ 0.152 $ &$ 0.370 $ &$ 0.370 $ &$ 3.61 $ &$ 1.18 $ &$ 0.73 $ &$ 3.87$ & $ 0.42$ & $ 0.02$ & $ 0.17$ & $ 3.90$ & $ 319$ \\ $ 487 $ &$ 2000. $ &$ 0.180 $ & $ 0.110 $ &$ 0.316 $ &$ 0.314 $ &$ 3.90 $ &$ 1.10 $ &$ 0.75 $ &$ 4.13$ & $ 0.31$ & $ 0.03$ & $ 0.08$ & $ 4.14$ & $ 319$ \\ $ 488 $ &$ 2000. $ &$ 0.250 $ & $ 0.079 $ &$ 0.239 $ &$ 0.236 $ &$ 4.47 $ &$ 1.47 $ &$ 0.81 $ &$ 4.78$ & $ 0.56$ & $ 0.04$ & $ 0.08$ & $ 4.81$ & $ 319$ \\ $ 489 $ &$ 2000. $ &$ 0.400 $ & $ 0.049 $ &$ 0.128 $ &$ 0.126 $ &$ 6.19 $ &$ 2.60 $ &$ 1.61 $ &$ 6.91$ & $ 2.31$ & $-0.03$ & $-0.01$ & $ 7.28$ & $ 319$ \\ $ 490 $ &$ 2000. $ &$ 0.650 $ & $ 0.030 $ &$ 0.021 $ &$ 0.021 $ &$ 19.26 $ &$ 9.70 $ &$ 4.66 $ &$ 22.1$ & $ 12.3$ & $-0.10$ & $ 0.19$ & $25.29$ & $ 319$ \\ $ 491 $ &$ 3000. $ &$ 0.500 \times 10^{-1}$ & $ 0.665 $ &$ 0.522 $ & --- & $ 5.63 $ &$ 2.20 $ &$ 0.79 $ &$ 6.10$ & $ 0.05$ & $ 0.03$ & $-0.19$ & $ 6.10$ & $ 301$ \\ $ 492 $ &$ 3000. $ &$ 0.500 \times 10^{-1}$ & $ 0.593 $ &$ 0.540 $ &$ 0.582 $ &$ 4.20 $ &$ 1.84 $ &$ 0.85 $ &$ 4.66$ & $ 0.28$ & $ 0.03$ & $-0.07$ & $ 4.67$ & $ 319$ \\ $ 493 $ &$ 3000. $ &$ 0.800 \times 10^{-1}$ & $ 0.416 $ &$ 0.445 $ &$ 0.461 $ &$ 5.78 $ &$ 1.98 $ &$ 0.71 $ &$ 6.15$ & $ 0.03$ & $ 0.01$ & $ 0.00$ & $ 6.15$ & $ 301$ \\ $ 494 $ &$ 3000. $ &$ 0.800 \times 10^{-1}$ & $ 0.371 $ &$ 0.417 $ &$ 0.432 $ &$ 4.38 $ &$ 1.53 $ &$ 0.84 $ &$ 4.72$ & $ 0.48$ & $ 0.02$ & $-0.04$ & $ 4.74$ & $ 319$ \\ $ 495 $ &$ 3000. $ &$ 0.130 $ & $ 0.228 $ &$ 0.343 $ &$ 0.347 $ &$ 4.16 $ &$ 1.57 $ &$ 0.80 $ &$ 4.52$ & $ 0.26$ & $ 0.03$ & $ 0.22$ & $ 4.53$ & $ 319$ \\ $ 496 $ &$ 3000. $ &$ 0.180 $ & $ 0.165 $ &$ 0.303 $ &$ 0.303 $ &$ 4.23 $ &$ 1.66 $ &$ 0.82 $ &$ 4.62$ & $ 0.53$ & $ 0.02$ & $ 0.09$ & $ 4.65$ & $ 319$ \\ $ 497 $ &$ 3000. $ &$ 0.250 $ & $ 0.119 $ &$ 0.218 $ &$ 0.215 $ &$ 5.14 $ &$ 1.64 $ &$ 0.92 $ &$ 5.47$ & $ 0.84$ & $ 0.02$ & $ 0.11$ & $ 5.54$ & $ 319$ \\ $ 498 $ &$ 3000. $ &$ 0.400 $ & $ 0.074 $ &$ 0.121 $ &$ 0.118 $ &$ 6.41 $ &$ 2.58 $ &$ 1.33 $ &$ 7.04$ & $ 1.39$ & $ 0.02$ & $ 0.22$ & $ 7.18$ & $ 319$ \\ $ 499 $ &$ 3000. $ &$ 0.650 $ & $ 0.046 $ &$ 0.016 $ &$ 0.016 $ &$ 12.48 $ &$ 4.23 $ &$ 2.37 $ &$ 13.4$ & $ 3.24$ & $ 0.01$ & $-0.36$ & $13.78$ & $ 319$ \\ $ 500 $ &$ 5000. $ &$ 0.800 \times 10^{-1}$ & $ 0.693 $ &$ 0.362 $ & --- & $ 6.86 $ &$ 2.22 $ &$ 0.77 $ &$ 7.25$ & $ 0.30$ & $ 0.17$ & $-0.10$ & $ 7.26$ & $ 301$ \\ $ 501 $ &$ 5000. $ &$ 0.800 \times 10^{-1}$ & $ 0.618 $ &$ 0.419 $ & --- & $ 4.46 $ &$ 1.62 $ &$ 0.97 $ &$ 4.84$ & $ 0.41$ & $ 0.03$ & $-0.01$ & $ 4.86$ & $ 319$ \\ $ 502 $ &$ 5000. $ &$ 0.130 $ & $ 0.426 $ &$ 0.332 $ &$ 0.353 $ &$ 7.83 $ &$ 2.14 $ &$ 0.87 $ &$ 8.16$ & $ 0.63$ & $ 0.03$ & $ 0.22$ & $ 8.19$ & $ 301$ \\ $ 503 $ &$ 5000. $ &$ 0.130 $ & $ 0.380 $ &$ 0.350 $ &$ 0.372 $ &$ 5.48 $ &$ 1.72 $ &$ 0.81 $ &$ 5.80$ & $ 0.24$ & $ 0.03$ & $ 0.03$ & $ 5.81$ & $ 319$ \\ $ 504 $ &$ 5000. $ &$ 0.180 $ & $ 0.274 $ &$ 0.264 $ &$ 0.271 $ &$ 4.91 $ &$ 1.47 $ &$ 0.71 $ &$ 5.18$ & $ 0.31$ & $ 0.03$ & $ 0.14$ & $ 5.19$ & $ 319$ \\ $ 505 $ &$ 5000. $ &$ 0.250 $ & $ 0.198 $ &$ 0.235 $ &$ 0.235 $ &$ 5.51 $ &$ 2.09 $ &$ 0.82 $ &$ 5.95$ & $ 1.62$ & $ 0.02$ & $ 0.23$ & $ 6.17$ & $ 319$ \\ $ 506 $ &$ 5000. $ &$ 0.400 $ & $ 0.124 $ &$ 0.120 $ &$ 0.117 $ &$ 7.14 $ &$ 2.08 $ &$ 0.86 $ &$ 7.48$ & $ 0.67$ & $ 0.04$ & $ 0.05$ & $ 7.51$ & $ 319$ \\ $ 507 $ &$ 5000. $ &$ 0.650 $ & $ 0.076 $ &$ 0.010 $ &$ 0.010 $ &$ 27.08 $ &$ 12.77 $ &$ 3.65 $ &$ 30.2$ & $ 4.19$ & $-0.05$ & $ 1.06$ & $30.47$ & $ 319$ \\ $ 508 $ &$ 8000. $ &$ 0.130 $ & $ 0.682 $ &$ 0.256 $ & --- & $ 10.94 $ &$ 3.07 $ &$ 0.70 $ &$ 11.4$ & $ 0.35$ & $ 0.04$ & $-0.01$ & $11.39$ & $ 301$ \\ $ 509 $ &$ 8000. $ &$ 0.130 $ & $ 0.608 $ &$ 0.321 $ & --- & $ 7.20 $ &$ 2.09 $ &$ 1.07 $ &$ 7.57$ & $ 0.32$ & $ 0.03$ & $ 0.04$ & $ 7.58$ & $ 319$ \\ $ 510 $ &$ 8000. $ &$ 0.180 $ & $ 0.493 $ &$ 0.277 $ &$ 0.311 $ &$ 10.95 $ &$ 3.44 $ &$ 0.92 $ &$ 11.5$ & $ 0.41$ & $ 0.03$ & $ 0.24$ & $11.52$ & $ 301$ \\ $ 511 $ &$ 8000. $ &$ 0.180 $ & $ 0.439 $ &$ 0.299 $ &$ 0.336 $ &$ 7.44 $ &$ 2.33 $ &$ 0.86 $ &$ 7.84$ & $ 1.17$ & $ 0.03$ & $-0.03$ & $ 7.93$ & $ 319$ \\ $ 512 $ &$ 8000. $ &$ 0.250 $ & $ 0.355 $ &$ 0.231 $ &$ 0.243 $ &$ 11.80 $ &$ 3.15 $ &$ 1.39 $ &$ 12.3$ & $ 1.08$ & $-0.01$ & $ 0.11$ & $12.34$ & $ 301$ \\ $ 513 $ &$ 8000. $ &$ 0.250 $ & $ 0.316 $ &$ 0.208 $ &$ 0.219 $ &$ 8.93 $ &$ 2.82 $ &$ 1.22 $ &$ 9.44$ & $ 0.64$ & $ 0.03$ & $ 0.04$ & $ 9.46$ & $ 319$ \\ $ 514 $ &$ 8000. $ &$ 0.400 $ & $ 0.198 $ &$ 0.101 $ &$ 0.100 $ &$ 9.99 $ &$ 3.55 $ &$ 0.94 $ &$ 10.6$ & $ 0.84$ & $ 0.03$ & $-0.10$ & $10.67$ & $ 319$ \\ $ 515 $ &$ 8000. $ &$ 0.650 $ & $ 0.122 $ &$ 0.017 $ &$ 0.016 $ &$ 17.17 $ &$ 6.60 $ &$ 2.00 $ &$ 18.5$ & $ 7.35$ & $-0.01$ & $ 0.11$ & $19.91$ & $ 319$ \\ $ 516 $ &$ 12000. $ &$ 0.180 $ & $ 0.739 $ &$ 0.208 $ & --- & $ 17.37 $ &$ 2.43 $ &$ 0.88 $ &$ 17.6$ & $ 0.87$ & $ 0.03$ & $ 0.25$ & $17.59$ & $ 301$ \\ $ 517 $ &$ 12000. $ &$ 0.180 $ & $ 0.659 $ &$ 0.291 $ & --- & $ 10.20 $ &$ 2.87 $ &$ 1.72 $ &$ 10.7$ & $ 0.77$ & $ 0.02$ & $ 0.15$ & $10.76$ & $ 319$ \\ $ 518 $ &$ 12000. $ &$ 0.250 $ & $ 0.532 $ &$ 0.150 $ &$ 0.179 $ &$ 20.21 $ &$ 3.46 $ &$ 0.73 $ &$ 20.5$ & $ 0.31$ & $ 0.02$ & $ 0.03$ & $20.51$ & $ 301$ \\ $ 519 $ &$ 12000. $ &$ 0.250 $ & $ 0.474 $ &$ 0.154 $ &$ 0.183 $ &$ 15.27 $ &$ 4.11 $ &$ 1.01 $ &$ 15.8$ & $ 1.10$ & $ 0.01$ & $-0.13$ & $15.88$ & $ 319$ \\ $ 520 $ &$ 12000. $ &$ 0.400 $ & $ 0.296 $ &$ 0.073 $ &$ 0.076 $ &$ 15.58 $ &$ 4.59 $ &$ 1.05 $ &$ 16.3$ & $ 2.73$ & $ 0.02$ & $-0.05$ & $16.50$ & $ 319$ \\ $ 521 $ &$ 12000. $ &$ 0.650 $ & $ 0.182 $ &$ 0.017 $ &$ 0.016 $ &$ 33.62 $ &$ 18.57 $ &$ 3.59 $ &$ 38.6$ & $ 2.17$ & $-0.01$ & $ 0.69$ & $38.65$ & $ 319$ \\ \hline \hline \end{tabular} \end{center} \end{tiny} \tablecaption{\label{tab615a7}Continuation of \Tab~\ref{tab615a1}.} \end{table} \begin{table} \begin{tiny} \begin{center} % \input{tabhead} \begin{tabular}{l|cccccccccccccc} \hline \hline Bin & $Q^2$ & $x$ & $y$ & $\sigma^{+~\rm ave}_{r}$ & $F_2^{\rm ave}$ & $\delta_{\rm ave,stat}$ & $\delta_{\rm ave,uncor}$ & $\delta_{\rm ave,cor}$ & $\delta_{\rm ave,exp~tot}$ & $\delta_{\rm ave,rel}$ & $\delta_{\rm ave,gp}$ & $\delta_{\rm ave,had}$ & $\delta_{\rm ave,tot}$ & $\sqrt{s}$\\ $\#$ & GeV$^2$ & & & & & \% & \% & \% & \% & \% & \% & \% &\% & GeV \\ \hline % \input{tables/p_8_615} $ 522 $ &$ 20000. $ &$ 0.250 $ & $ 0.887 $ &$ 0.135 $ & --- & $ 30.72 $ &$ 3.58 $ &$ 0.96 $ &$ 30.9$ & $ 0.85$ & $ 0.02$ & $ 0.36$ & $30.96$ & $ 301$ \\ $ 523 $ &$ 20000. $ &$ 0.250 $ & $ 0.791 $ &$ 0.096 $ & --- & $ 22.47 $ &$ 2.01 $ &$ 2.50 $ &$ 22.7$ & $ 0.63$ & $ 0.05$ & $ 0.14$ & $22.71$ & $ 319$ \\ $ 524 $ &$ 20000. $ &$ 0.400 $ & $ 0.554 $ &$ 0.116 $ &$ 0.146 $ &$ 31.65 $ &$ 7.66 $ &$ 1.29 $ &$ 32.6$ & $ 1.60$ & $-0.01$ & $-0.51$ & $32.63$ & $ 301$ \\ $ 525 $ &$ 20000. $ &$ 0.400 $ & $ 0.494 $ &$ 0.047 $ &$ 0.059 $ &$ 35.20 $ &$ 7.96 $ &$ 2.49 $ &$ 36.2$ & $ 0.21$ & $ 0.01$ & $-0.03$ & $36.17$ & $ 319$ \\ $ 526 $ &$ 20000. $ &$ 0.650 $ & $ 0.304 $ &$ 0.014 $ &$ 0.014 $ &$ 50.08 $ &$ 28.03 $ &$ 4.07 $ &$ 57.5$ & $ 7.64$ & $-0.01$ & $-0.23$ & $58.04$ & $ 319$ \\ $ 527 $ &$ 30000. $ &$ 0.400 $ & $ 0.831 $ &$ 0.110 $ & --- & $ 66.01 $ &$ 5.29 $ &$ 1.46 $ &$ 66.2$ & $ 0.54$ & $ 0.00$ & $ 0.25$ & $66.24$ & $ 301$ \\ $ 528 $ &$ 30000. $ &$ 0.400 $ & $ 0.741 $ &$ 0.086 $ & --- & $ 35.54 $ &$ 4.75 $ &$ 13.06 $ &$ 38.2$ & $ 5.53$ & $-0.07$ & $ 0.09$ & $38.56$ & $ 319$ \\ \hline \hline \end{tabular} \end{center} \end{tiny} \tablecaption{\label{tab615a8}Continuation of \Tab~\ref{tab615a1}.} \end{table} \begin{table} \begin{tiny} \begin{center} % \input{tabheadminus} \begin{tabular}{l|cccccccccccccc} \hline \hline Bin & $Q^2$ & $x$ & $y$ & $\sigma^{-~\rm ave}_{r}$ & $F_2^{\rm ave}$ & $\delta_{\rm ave,stat}$ & $\delta_{\rm ave,uncor}$ & $\delta_{\rm ave,cor}$ & $\delta_{\rm ave,exp~tot}$ & $\delta_{\rm ave,rel}$ & $\delta_{\rm ave,gp}$ & $\delta_{\rm ave,had}$ & $\delta_{\rm ave,tot}$ & $\sqrt{s}$\\ $\#$ & GeV$^2$ & & & & & \% & \% & \% & \% & \% & \% & \% &\% & GeV \\ \hline % \input{tables/p_1_515} $ 1 $ &$ 90. $ &$ 0.130 \times 10^{-2}$ & $ 0.684 $ &$ 1.372 $ & --- & $ 4.00 $ &$ 5.50 $ &$ 1.72 $ &$ 7.01$ & $-0.26$ & $ 0.01$ & $-0.10$ & $ 7.02$ & $ 319$ \\ $ 2 $ &$ 90. $ &$ 0.200 \times 10^{-2}$ & $ 0.445 $ &$ 1.257 $ &$ 1.292 $ &$ 3.43 $ &$ 3.30 $ &$ 1.87 $ &$ 5.11$ & $ 0.57$ & $-0.04$ & $-0.26$ & $ 5.15$ & $ 319$ \\ $ 3 $ &$ 120. $ &$ 0.160 \times 10^{-2}$ & $ 0.741 $ &$ 1.343 $ & --- & $ 4.20 $ &$ 4.80 $ &$ 1.69 $ &$ 6.60$ & $-0.07$ & $ 0.01$ & $-0.16$ & $ 6.60$ & $ 319$ \\ $ 4 $ &$ 120. $ &$ 0.200 \times 10^{-2}$ & $ 0.593 $ &$ 1.317 $ &$ 1.390 $ &$ 3.31 $ &$ 3.20 $ &$ 1.95 $ &$ 5.00$ & $ 0.23$ & $-0.05$ & $ 0.26$ & $ 5.01$ & $ 319$ \\ $ 5 $ &$ 120. $ &$ 0.320 \times 10^{-2}$ & $ 0.371 $ &$ 1.192 $ &$ 1.211 $ &$ 3.01 $ &$ 3.20 $ &$ 1.59 $ &$ 4.67$ & $ 0.39$ & $-0.01$ & $-0.15$ & $ 4.69$ & $ 319$ \\ $ 6 $ &$ 150. $ &$ 0.200 \times 10^{-2}$ & $ 0.741 $ &$ 1.331 $ & --- & $ 4.41 $ &$ 4.80 $ &$ 1.54 $ &$ 6.70$ & $ 0.24$ & $ 0.00$ & $-0.20$ & $ 6.71$ & $ 319$ \\ $ 7 $ &$ 150. $ &$ 0.320 \times 10^{-2}$ & $ 0.463 $ &$ 1.204 $ &$ 1.238 $ &$ 2.72 $ &$ 3.00 $ &$ 1.78 $ &$ 4.42$ & $ 0.43$ & $-0.02$ & $-0.49$ & $ 4.47$ & $ 319$ \\ $ 8 $ &$ 150. $ &$ 0.500 \times 10^{-2}$ & $ 0.296 $ &$ 1.137 $ &$ 1.147 $ &$ 2.82 $ &$ 3.00 $ &$ 1.64 $ &$ 4.43$ & $-0.05$ & $ 0.00$ & $-0.15$ & $ 4.43$ & $ 319$ \\ $ 9 $ &$ 150. $ &$ 0.800 \times 10^{-2}$ & $ 0.185 $ &$ 0.949 $ &$ 0.951 $ &$ 4.14 $ &$ 5.40 $ &$ 3.51 $ &$ 7.65$ & $-1.25$ & $ 0.00$ & $ 0.30$ & $ 7.76$ & $ 319$ \\ $ 10 $ &$ 200. $ &$ 0.260 \times 10^{-2}$ & $ 0.760 $ &$ 1.186 $ & --- & $ 4.80 $ &$ 4.80 $ &$ 1.68 $ &$ 6.99$ & $ 0.17$ & $ 0.01$ & $-0.19$ & $ 7.00$ & $ 319$ \\ $ 11 $ &$ 200. $ &$ 0.320 \times 10^{-2}$ & $ 0.618 $ &$ 1.273 $ & --- & $ 4.10 $ &$ 3.50 $ &$ 2.06 $ &$ 5.77$ & $ 0.05$ & $-0.03$ & $-0.01$ & $ 5.77$ & $ 319$ \\ $ 12 $ &$ 200. $ &$ 0.500 \times 10^{-2}$ & $ 0.395 $ &$ 1.129 $ &$ 1.147 $ &$ 2.09 $ &$ 1.27 $ &$ 1.47 $ &$ 2.86$ & $ 0.05$ & $ 0.00$ & $-0.24$ & $ 2.87$ & $ 319$ \\ $ 13 $ &$ 200. $ &$ 0.800 \times 10^{-2}$ & $ 0.247 $ &$ 0.940 $ &$ 0.943 $ &$ 2.10 $ &$ 1.15 $ &$ 1.35 $ &$ 2.76$ & $ 0.14$ & $ 0.00$ & $-0.11$ & $ 2.76$ & $ 319$ \\ $ 14 $ &$ 200. $ &$ 0.130 \times 10^{-1}$ & $ 0.152 $ &$ 0.826 $ &$ 0.826 $ &$ 2.17 $ &$ 1.20 $ &$ 1.39 $ &$ 2.84$ & $-0.04$ & $ 0.00$ & $ 0.05$ & $ 2.84$ & $ 319$ \\ $ 15 $ &$ 200. $ &$ 0.200 \times 10^{-1}$ & $ 0.099 $ &$ 0.707 $ &$ 0.706 $ &$ 2.66 $ &$ 1.54 $ &$ 1.35 $ &$ 3.35$ & $-0.10$ & $ 0.00$ & $ 0.04$ & $ 3.36$ & $ 319$ \\ $ 16 $ &$ 200. $ &$ 0.320 \times 10^{-1}$ & $ 0.062 $ &$ 0.581 $ &$ 0.580 $ &$ 2.92 $ &$ 1.65 $ &$ 1.37 $ &$ 3.62$ & $-0.09$ & $ 0.00$ & $ 0.10$ & $ 3.63$ & $ 319$ \\ $ 17 $ &$ 200. $ &$ 0.500 \times 10^{-1}$ & $ 0.040 $ &$ 0.500 $ &$ 0.499 $ &$ 2.90 $ &$ 1.26 $ &$ 1.49 $ &$ 3.49$ & $ 0.13$ & $ 0.00$ & $ 0.03$ & $ 3.50$ & $ 319$ \\ $ 18 $ &$ 200. $ &$ 0.800 \times 10^{-1}$ & $ 0.025 $ &$ 0.419 $ &$ 0.418 $ &$ 2.66 $ &$ 1.18 $ &$ 1.68 $ &$ 3.36$ & $ 0.22$ & $ 0.00$ & $ 0.05$ & $ 3.37$ & $ 319$ \\ $ 19 $ &$ 200. $ &$ 0.180 $ & $ 0.011 $ &$ 0.319 $ &$ 0.319 $ &$ 3.86 $ &$ 2.00 $ &$ 1.51 $ &$ 4.60$ & $ 0.28$ & $ 0.00$ & $ 0.00$ & $ 4.61$ & $ 319$ \\ $ 20 $ &$ 250. $ &$ 0.330 \times 10^{-2}$ & $ 0.749 $ &$ 1.125 $ & --- & $ 5.70 $ &$ 4.90 $ &$ 1.78 $ &$ 7.73$ & $ 0.40$ & $ 0.00$ & $-0.19$ & $ 7.74$ & $ 319$ \\ $ 21 $ &$ 250. $ &$ 0.500 \times 10^{-2}$ & $ 0.494 $ &$ 1.117 $ &$ 1.148 $ &$ 2.79 $ &$ 1.79 $ &$ 1.53 $ &$ 3.65$ & $ 0.25$ & $-0.01$ & $-0.27$ & $ 3.67$ & $ 319$ \\ $ 22 $ &$ 250. $ &$ 0.800 \times 10^{-2}$ & $ 0.309 $ &$ 0.994 $ &$ 1.001 $ &$ 2.39 $ &$ 1.50 $ &$ 1.43 $ &$ 3.17$ & $ 0.04$ & $ 0.00$ & $-0.13$ & $ 3.17$ & $ 319$ \\ $ 23 $ &$ 250. $ &$ 0.130 \times 10^{-1}$ & $ 0.190 $ &$ 0.844 $ &$ 0.844 $ &$ 2.48 $ &$ 1.38 $ &$ 1.47 $ &$ 3.19$ & $ 0.16$ & $ 0.00$ & $-0.08$ & $ 3.20$ & $ 319$ \\ $ 24 $ &$ 250. $ &$ 0.200 \times 10^{-1}$ & $ 0.124 $ &$ 0.697 $ &$ 0.696 $ &$ 2.72 $ &$ 1.58 $ &$ 1.35 $ &$ 3.42$ & $ 0.17$ & $ 0.00$ & $ 0.05$ & $ 3.42$ & $ 319$ \\ $ 25 $ &$ 250. $ &$ 0.320 \times 10^{-1}$ & $ 0.077 $ &$ 0.598 $ &$ 0.596 $ &$ 2.87 $ &$ 1.57 $ &$ 1.45 $ &$ 3.58$ & $ 0.44$ & $ 0.00$ & $ 0.15$ & $ 3.61$ & $ 319$ \\ $ 26 $ &$ 250. $ &$ 0.500 \times 10^{-1}$ & $ 0.049 $ &$ 0.511 $ &$ 0.509 $ &$ 2.87 $ &$ 1.42 $ &$ 1.40 $ &$ 3.50$ & $ 0.15$ & $ 0.01$ & $ 0.14$ & $ 3.50$ & $ 319$ \\ $ 27 $ &$ 250. $ &$ 0.800 \times 10^{-1}$ & $ 0.031 $ &$ 0.428 $ &$ 0.427 $ &$ 2.74 $ &$ 1.62 $ &$ 1.53 $ &$ 3.54$ & $ 0.18$ & $ 0.01$ & $ 0.03$ & $ 3.54$ & $ 319$ \\ $ 28 $ &$ 250. $ &$ 0.130 $ & $ 0.019 $ &$ 0.317 $ &$ 0.316 $ &$ 5.25 $ &$ 5.20 $ &$ 1.64 $ &$ 7.57$ & $ 0.67$ & $-0.01$ & $ 0.42$ & $ 7.61$ & $ 319$ \\ $ 29 $ &$ 250. $ &$ 0.180 $ & $ 0.014 $ &$ 0.299 $ &$ 0.299 $ &$ 4.05 $ &$ 4.45 $ &$ 1.45 $ &$ 6.19$ & $ 0.23$ & $ 0.00$ & $ 0.00$ & $ 6.20$ & $ 319$ \\ $ 30 $ &$ 250. $ &$ 0.250 $ & $ 0.010 $ &$ 0.231 $ &$ 0.231 $ &$ 7.40 $ &$ 8.60 $ &$ 1.95 $ &$ 11.5$ & $ 1.18$ & $-0.03$ & $ 0.44$ & $11.58$ & $ 319$ \\ $ 31 $ &$ 250. $ &$ 0.400 $ & $ 0.006 $ &$ 0.140 $ &$ 0.140 $ &$ 9.22 $ &$ 6.80 $ &$ 1.62 $ &$ 11.6$ & $ 0.50$ & $-0.02$ & $-0.05$ & $11.58$ & $ 319$ \\ $ 32 $ &$ 300. $ &$ 0.390 \times 10^{-2}$ & $ 0.760 $ &$ 1.071 $ & --- & $ 6.09 $ &$ 4.90 $ &$ 1.64 $ &$ 7.99$ & $-0.15$ & $ 0.01$ & $-0.02$ & $ 7.99$ & $ 319$ \\ $ 33 $ &$ 300. $ &$ 0.500 \times 10^{-2}$ & $ 0.593 $ &$ 1.153 $ &$ 1.203 $ &$ 5.60 $ &$ 3.90 $ &$ 1.76 $ &$ 7.05$ & $ 0.41$ & $-0.02$ & $ 0.00$ & $ 7.06$ & $ 319$ \\ $ 34 $ &$ 300. $ &$ 0.800 \times 10^{-2}$ & $ 0.371 $ &$ 1.001 $ &$ 1.011 $ &$ 2.92 $ &$ 1.72 $ &$ 1.31 $ &$ 3.63$ & $ 0.00$ & $ 0.00$ & $-0.21$ & $ 3.64$ & $ 319$ \\ $ 35 $ &$ 300. $ &$ 0.130 \times 10^{-1}$ & $ 0.228 $ &$ 0.856 $ &$ 0.857 $ &$ 2.75 $ &$ 1.43 $ &$ 1.44 $ &$ 3.41$ & $ 0.01$ & $ 0.00$ & $-0.12$ & $ 3.42$ & $ 319$ \\ $ 36 $ &$ 300. $ &$ 0.200 \times 10^{-1}$ & $ 0.148 $ &$ 0.725 $ &$ 0.723 $ &$ 3.05 $ &$ 1.60 $ &$ 1.41 $ &$ 3.72$ & $ 0.24$ & $ 0.00$ & $-0.01$ & $ 3.73$ & $ 319$ \\ $ 37 $ &$ 300. $ &$ 0.320 \times 10^{-1}$ & $ 0.093 $ &$ 0.592 $ &$ 0.590 $ &$ 3.16 $ &$ 1.71 $ &$ 1.33 $ &$ 3.83$ & $ 0.19$ & $ 0.00$ & $ 0.03$ & $ 3.83$ & $ 319$ \\ $ 38 $ &$ 300. $ &$ 0.500 \times 10^{-1}$ & $ 0.059 $ &$ 0.521 $ &$ 0.519 $ &$ 3.20 $ &$ 1.63 $ &$ 1.38 $ &$ 3.85$ & $ 0.14$ & $ 0.00$ & $ 0.00$ & $ 3.85$ & $ 319$ \\ $ 39 $ &$ 300. $ &$ 0.800 \times 10^{-1}$ & $ 0.037 $ &$ 0.426 $ &$ 0.425 $ &$ 3.09 $ &$ 1.26 $ &$ 1.39 $ &$ 3.62$ & $ 0.42$ & $ 0.00$ & $ 0.05$ & $ 3.64$ & $ 319$ \\ $ 40 $ &$ 300. $ &$ 0.130 $ & $ 0.023 $ &$ 0.336 $ &$ 0.335 $ &$ 5.37 $ &$ 6.70 $ &$ 1.58 $ &$ 8.73$ & $ 0.44$ & $ 0.00$ & $ 0.26$ & $ 8.74$ & $ 319$ \\ $ 41 $ &$ 300. $ &$ 0.180 $ & $ 0.016 $ &$ 0.310 $ &$ 0.309 $ &$ 4.16 $ &$ 2.25 $ &$ 1.51 $ &$ 4.97$ & $ 0.22$ & $ 0.00$ & $-0.02$ & $ 4.97$ & $ 319$ \\ $ 42 $ &$ 300. $ &$ 0.250 $ & $ 0.012 $ &$ 0.287 $ &$ 0.286 $ &$ 6.78 $ &$ 9.40 $ &$ 2.35 $ &$ 11.8$ & $ 1.60$ & $-0.03$ & $ 0.51$ & $11.94$ & $ 319$ \\ $ 43 $ &$ 300. $ &$ 0.400 $ & $ 0.007 $ &$ 0.146 $ &$ 0.145 $ &$ 10.21 $ &$ 8.90 $ &$ 2.07 $ &$ 13.7$ & $ 1.34$ & $-0.02$ & $ 0.07$ & $13.77$ & $ 319$ \\ $ 44 $ &$ 400. $ &$ 0.530 \times 10^{-2}$ & $ 0.746 $ &$ 1.106 $ & --- & $ 6.39 $ &$ 5.10 $ &$ 1.65 $ &$ 8.34$ & $-0.19$ & $ 0.01$ & $-0.01$ & $ 8.34$ & $ 319$ \\ $ 45 $ &$ 400. $ &$ 0.800 \times 10^{-2}$ & $ 0.494 $ &$ 1.043 $ &$ 1.064 $ &$ 3.27 $ &$ 1.59 $ &$ 1.52 $ &$ 3.94$ & $ 0.28$ & $ 0.00$ & $-0.23$ & $ 3.96$ & $ 319$ \\ $ 46 $ &$ 400. $ &$ 0.130 \times 10^{-1}$ & $ 0.304 $ &$ 0.868 $ &$ 0.870 $ &$ 3.55 $ &$ 2.33 $ &$ 1.44 $ &$ 4.49$ & $ 0.19$ & $ 0.00$ & $-0.22$ & $ 4.50$ & $ 319$ \\ $ 47 $ &$ 400. $ &$ 0.200 \times 10^{-1}$ & $ 0.198 $ &$ 0.719 $ &$ 0.716 $ &$ 3.67 $ &$ 1.95 $ &$ 1.32 $ &$ 4.36$ & $ 0.04$ & $ 0.00$ & $ 0.16$ & $ 4.36$ & $ 319$ \\ $ 48 $ &$ 400. $ &$ 0.320 \times 10^{-1}$ & $ 0.124 $ &$ 0.591 $ &$ 0.589 $ &$ 3.64 $ &$ 1.93 $ &$ 1.30 $ &$ 4.32$ & $ 0.35$ & $ 0.00$ & $-0.12$ & $ 4.34$ & $ 319$ \\ $ 49 $ &$ 400. $ &$ 0.500 \times 10^{-1}$ & $ 0.079 $ &$ 0.511 $ &$ 0.508 $ &$ 3.54 $ &$ 1.52 $ &$ 1.39 $ &$ 4.09$ & $ 0.12$ & $ 0.00$ & $ 0.15$ & $ 4.10$ & $ 319$ \\ $ 50 $ &$ 400. $ &$ 0.800 \times 10^{-1}$ & $ 0.049 $ &$ 0.435 $ &$ 0.433 $ &$ 3.74 $ &$ 1.71 $ &$ 1.36 $ &$ 4.33$ & $ 0.26$ & $ 0.00$ & $ 0.05$ & $ 4.34$ & $ 319$ \\ $ 51 $ &$ 400. $ &$ 0.130 $ & $ 0.030 $ &$ 0.376 $ &$ 0.375 $ &$ 3.88 $ &$ 1.80 $ &$ 1.36 $ &$ 4.49$ & $ 0.43$ & $ 0.00$ & $ 0.10$ & $ 4.51$ & $ 319$ \\ $ 52 $ &$ 400. $ &$ 0.250 $ & $ 0.016 $ &$ 0.268 $ &$ 0.267 $ &$ 4.66 $ &$ 3.28 $ &$ 1.41 $ &$ 5.87$ & $ 0.79$ & $-0.01$ & $ 0.11$ & $ 5.92$ & $ 319$ \\ $ 53 $ &$ 400. $ &$ 0.400 $ & $ 0.010 $ &$ 0.147 $ &$ 0.147 $ &$ 10.64 $ &$ 7.30 $ &$ 1.96 $ &$ 13.1$ & $ 1.19$ & $-0.03$ & $ 0.19$ & $13.11$ & $ 319$ \\ $ 54 $ &$ 500. $ &$ 0.660 \times 10^{-2}$ & $ 0.749 $ &$ 1.097 $ & --- & $ 6.91 $ &$ 5.20 $ &$ 1.42 $ &$ 8.76$ & $-0.15$ & $ 0.01$ & $-0.13$ & $ 8.76$ & $ 319$ \\ $ 55 $ &$ 500. $ &$ 0.800 \times 10^{-2}$ & $ 0.618 $ &$ 1.042 $ & --- & $ 7.81 $ &$ 4.60 $ &$ 1.71 $ &$ 9.22$ & $ 0.04$ & $-0.02$ & $-0.30$ & $ 9.23$ & $ 319$ \\ $ 56 $ &$ 500. $ &$ 0.130 \times 10^{-1}$ & $ 0.380 $ &$ 1.000 $ &$ 1.003 $ &$ 5.11 $ &$ 3.90 $ &$ 1.73 $ &$ 6.65$ & $ 0.38$ & $ 0.00$ & $-0.39$ & $ 6.68$ & $ 319$ \\ $ 57 $ &$ 500. $ &$ 0.200 \times 10^{-1}$ & $ 0.247 $ &$ 0.763 $ &$ 0.760 $ &$ 5.11 $ &$ 4.20 $ &$ 1.66 $ &$ 6.82$ & $ 0.42$ & $ 0.00$ & $-0.33$ & $ 6.84$ & $ 319$ \\ $ 58 $ &$ 500. $ &$ 0.320 \times 10^{-1}$ & $ 0.154 $ &$ 0.604 $ &$ 0.600 $ &$ 5.30 $ &$ 3.80 $ &$ 1.69 $ &$ 6.74$ & $ 0.44$ & $ 0.01$ & $-0.04$ & $ 6.75$ & $ 319$ \\ $ 59 $ &$ 500. $ &$ 0.500 \times 10^{-1}$ & $ 0.099 $ &$ 0.518 $ &$ 0.515 $ &$ 5.59 $ &$ 3.80 $ &$ 1.46 $ &$ 6.92$ & $ 0.06$ & $ 0.01$ & $ 0.17$ & $ 6.92$ & $ 319$ \\ $ 60 $ &$ 500. $ &$ 0.800 \times 10^{-1}$ & $ 0.062 $ &$ 0.396 $ &$ 0.394 $ &$ 6.37 $ &$ 5.80 $ &$ 1.78 $ &$ 8.79$ & $ 0.75$ & $ 0.00$ & $ 0.27$ & $ 8.83$ & $ 319$ \\ $ 61 $ &$ 500. $ &$ 0.130 $ & $ 0.038 $ &$ 0.363 $ &$ 0.361 $ &$ 7.20 $ &$ 4.10 $ &$ 1.82 $ &$ 8.48$ & $-0.23$ & $ 0.02$ & $ 0.51$ & $ 8.50$ & $ 319$ \\ $ 62 $ &$ 500. $ &$ 0.180 $ & $ 0.027 $ &$ 0.289 $ &$ 0.287 $ &$ 8.12 $ &$ 6.60 $ &$ 2.16 $ &$ 10.7$ & $ 1.44$ & $-0.02$ & $ 0.39$ & $10.79$ & $ 319$ \\ $ 63 $ &$ 500. $ &$ 0.250 $ & $ 0.020 $ &$ 0.259 $ &$ 0.258 $ &$ 10.40 $ &$ 8.40 $ &$ 2.18 $ &$ 13.5$ & $ 1.32$ & $-0.02$ & $ 0.46$ & $13.61$ & $ 319$ \\ $ 64 $ &$ 500. $ &$ 0.400 $ & $ 0.012 $ &$ 0.144 $ &$ 0.143 $ &$ 15.14 $ &$ 12.00 $ &$ 3.56 $ &$ 19.6$ & $ 3.24$ & $-0.05$ & $ 0.19$ & $19.91$ & $ 319$ \\ $ 65 $ &$ 500. $ &$ 0.650 $ & $ 0.008 $ &$ 0.027 $ &$ 0.027 $ &$ 19.26 $ &$ 10.50 $ &$ 2.10 $ &$ 22.0$ & $-0.36$ & $-0.01$ & $ 0.96$ & $22.06$ & $ 319$ \\ \hline \hline \end{tabular} \end{center} \end{tiny} \tablecaption{\label{tab515a1} %\small HERA combined reduced cross section $\sigma^{- {\rm~ave}}_{r}$ for NC $e^-p$ scattering. $F_2^{\rm ave}$ represents the structure function $F_2$ calculated from $\sigma^{\rm ave}_{r}$ by using the HERAPDF1.0 parametrisation of $\tilde{F}_L, x\tilde{F}_3, F_2^{\gamma Z}$ for $y<0.6$. $\delta_{\rm ave,stat}$, $\delta_{\rm ave,uncor}$, $\delta_{\rm ave,cor}$ and $\delta_{\rm ave,exp~tot}$ represent the statistical, uncorrelated systematic, correlated systematic and total experimental uncertainty, respectively. $\delta_{\rm ave,rel}$, $\delta_{\rm ave,gp}$ and $\delta_{\rm ave,had}$ are the three correlated sources of uncertainties arising from the combination procedure, see \Sec~\ref{subsubsec:proc_errors}. $\delta_{\rm ave,tot}$ is the total uncertainty calculated by adding $\delta_{\rm ave,exp~tot}$ and the procedural errors in quadrature. The uncertainties are quoted in percent relative to $\sigma^{- \rm~ave}_{r}$. The overall normalisation uncertainty of $0.5\%$ is not included. } \end{table} \begin{table} \begin{tiny} \begin{center} % \input{tabheadminus} \begin{tabular}{l|cccccccccccccc} \hline \hline Bin & $Q^2$ & $x$ & $y$ & $\sigma^{-~\rm ave}_{r}$ & $F_2^{\rm ave}$ & $\delta_{\rm ave,stat}$ & $\delta_{\rm ave,uncor}$ & $\delta_{\rm ave,cor}$ & $\delta_{\rm ave,exp~tot}$ & $\delta_{\rm ave,rel}$ & $\delta_{\rm ave,gp}$ & $\delta_{\rm ave,had}$ & $\delta_{\rm ave,tot}$ & $\sqrt{s}$\\ $\#$ & GeV$^2$ & & & & & \% & \% & \% & \% & \% & \% & \% &\% & GeV \\ \hline % \input{tables/p_2_515} $ 66 $ &$ 650. $ &$ 0.850 \times 10^{-2}$ & $ 0.756 $ &$ 0.972 $ & --- & $ 4.91 $ &$ 2.20 $ &$ 1.70 $ &$ 5.64$ & $ 0.03$ & $ 0.00$ & $ 0.01$ & $ 5.64$ & $ 319$ \\ $ 67 $ &$ 650. $ &$ 0.130 \times 10^{-1}$ & $ 0.494 $ &$ 0.950 $ &$ 0.959 $ &$ 3.64 $ &$ 1.48 $ &$ 1.56 $ &$ 4.23$ & $ 0.07$ & $ 0.00$ & $-0.17$ & $ 4.23$ & $ 319$ \\ $ 68 $ &$ 650. $ &$ 0.200 \times 10^{-1}$ & $ 0.321 $ &$ 0.794 $ &$ 0.790 $ &$ 4.59 $ &$ 1.98 $ &$ 1.35 $ &$ 5.18$ & $ 0.27$ & $ 0.00$ & $-0.23$ & $ 5.19$ & $ 319$ \\ $ 69 $ &$ 650. $ &$ 0.320 \times 10^{-1}$ & $ 0.201 $ &$ 0.645 $ &$ 0.638 $ &$ 5.01 $ &$ 2.32 $ &$ 1.32 $ &$ 5.68$ & $ 0.29$ & $ 0.00$ & $-0.13$ & $ 5.69$ & $ 319$ \\ $ 70 $ &$ 650. $ &$ 0.500 \times 10^{-1}$ & $ 0.128 $ &$ 0.525 $ &$ 0.520 $ &$ 5.14 $ &$ 2.66 $ &$ 1.41 $ &$ 5.96$ & $ 0.38$ & $ 0.00$ & $-0.04$ & $ 5.97$ & $ 319$ \\ $ 71 $ &$ 650. $ &$ 0.800 \times 10^{-1}$ & $ 0.080 $ &$ 0.419 $ &$ 0.415 $ &$ 5.48 $ &$ 2.58 $ &$ 1.39 $ &$ 6.21$ & $ 0.50$ & $ 0.00$ & $ 0.19$ & $ 6.23$ & $ 319$ \\ $ 72 $ &$ 650. $ &$ 0.130 $ & $ 0.049 $ &$ 0.344 $ &$ 0.341 $ &$ 5.96 $ &$ 2.59 $ &$ 1.41 $ &$ 6.65$ & $ 0.33$ & $ 0.00$ & $-0.14$ & $ 6.66$ & $ 319$ \\ $ 73 $ &$ 650. $ &$ 0.180 $ & $ 0.036 $ &$ 0.336 $ &$ 0.333 $ &$ 9.02 $ &$ 6.80 $ &$ 1.86 $ &$ 11.4$ & $ 0.71$ & $-0.01$ & $ 0.64$ & $11.49$ & $ 319$ \\ $ 74 $ &$ 650. $ &$ 0.250 $ & $ 0.026 $ &$ 0.259 $ &$ 0.257 $ &$ 6.68 $ &$ 4.02 $ &$ 1.49 $ &$ 7.94$ & $ 0.68$ & $-0.01$ & $ 0.12$ & $ 7.97$ & $ 319$ \\ $ 75 $ &$ 650. $ &$ 0.400 $ & $ 0.016 $ &$ 0.088 $ &$ 0.087 $ &$ 23.18 $ &$ 9.30 $ &$ 1.90 $ &$ 25.1$ & $ 0.63$ & $ 0.00$ & $-0.64$ & $25.07$ & $ 319$ \\ $ 76 $ &$ 800. $ &$ 0.105 \times 10^{-1}$ & $ 0.753 $ &$ 0.942 $ & --- & $ 9.18 $ &$ 5.90 $ &$ 1.46 $ &$ 11.0$ & $-0.19$ & $ 0.00$ & $-0.05$ & $11.01$ & $ 319$ \\ $ 77 $ &$ 800. $ &$ 0.130 \times 10^{-1}$ & $ 0.608 $ &$ 0.885 $ & --- & $ 4.80 $ &$ 1.63 $ &$ 1.53 $ &$ 5.30$ & $ 0.20$ & $ 0.00$ & $ 0.06$ & $ 5.30$ & $ 319$ \\ $ 78 $ &$ 800. $ &$ 0.200 \times 10^{-1}$ & $ 0.395 $ &$ 0.808 $ &$ 0.803 $ &$ 4.98 $ &$ 2.07 $ &$ 1.39 $ &$ 5.57$ & $ 0.31$ & $-0.01$ & $-0.13$ & $ 5.58$ & $ 319$ \\ $ 79 $ &$ 800. $ &$ 0.320 \times 10^{-1}$ & $ 0.247 $ &$ 0.662 $ &$ 0.653 $ &$ 5.13 $ &$ 1.94 $ &$ 1.49 $ &$ 5.68$ & $ 0.55$ & $ 0.00$ & $-0.17$ & $ 5.71$ & $ 319$ \\ $ 80 $ &$ 800. $ &$ 0.500 \times 10^{-1}$ & $ 0.158 $ &$ 0.590 $ &$ 0.581 $ &$ 5.05 $ &$ 1.86 $ &$ 1.32 $ &$ 5.54$ & $ 0.05$ & $ 0.00$ & $ 0.14$ & $ 5.54$ & $ 319$ \\ $ 81 $ &$ 800. $ &$ 0.800 \times 10^{-1}$ & $ 0.099 $ &$ 0.501 $ &$ 0.494 $ &$ 5.58 $ &$ 2.26 $ &$ 1.43 $ &$ 6.19$ & $ 0.09$ & $ 0.00$ & $ 0.12$ & $ 6.19$ & $ 319$ \\ $ 82 $ &$ 800. $ &$ 0.130 $ & $ 0.061 $ &$ 0.368 $ &$ 0.363 $ &$ 6.89 $ &$ 2.48 $ &$ 1.92 $ &$ 7.57$ & $ 0.77$ & $ 0.01$ & $ 0.09$ & $ 7.61$ & $ 319$ \\ $ 83 $ &$ 800. $ &$ 0.180 $ & $ 0.044 $ &$ 0.303 $ &$ 0.300 $ &$ 11.58 $ &$ 6.20 $ &$ 1.76 $ &$ 13.3$ & $ 0.43$ & $ 0.01$ & $ 0.44$ & $13.27$ & $ 319$ \\ $ 84 $ &$ 800. $ &$ 0.250 $ & $ 0.032 $ &$ 0.241 $ &$ 0.239 $ &$ 8.86 $ &$ 3.38 $ &$ 1.66 $ &$ 9.63$ & $ 0.62$ & $-0.01$ & $ 0.00$ & $ 9.65$ & $ 319$ \\ $ 85 $ &$ 800. $ &$ 0.400 $ & $ 0.020 $ &$ 0.120 $ &$ 0.119 $ &$ 20.64 $ &$ 11.60 $ &$ 2.31 $ &$ 23.8$ & $ 1.50$ & $-0.02$ & $ 0.60$ & $23.84$ & $ 319$ \\ $ 86 $ &$ 800. $ &$ 0.650 $ & $ 0.012 $ &$ 0.015 $ &$ 0.015 $ &$ 21.50 $ &$ 12.50 $ &$ 3.31 $ &$ 25.1$ & $ 2.87$ & $-0.04$ & $ 0.04$ & $25.25$ & $ 319$ \\ $ 87 $ &$ 1000. $ &$ 0.130 \times 10^{-1}$ & $ 0.760 $ &$ 0.777 $ & --- & $ 11.47 $ &$ 6.50 $ &$ 2.18 $ &$ 13.4$ & $ 0.07$ & $-0.06$ & $ 0.80$ & $13.39$ & $ 319$ \\ $ 88 $ &$ 1000. $ &$ 0.200 \times 10^{-1}$ & $ 0.494 $ &$ 0.776 $ &$ 0.770 $ &$ 7.96 $ &$ 4.30 $ &$ 1.60 $ &$ 9.18$ & $ 0.52$ & $-0.01$ & $-0.59$ & $ 9.22$ & $ 319$ \\ $ 89 $ &$ 1000. $ &$ 0.320 \times 10^{-1}$ & $ 0.309 $ &$ 0.567 $ &$ 0.556 $ &$ 9.04 $ &$ 4.20 $ &$ 1.45 $ &$ 10.1$ & $ 0.19$ & $ 0.00$ & $-0.36$ & $10.08$ & $ 319$ \\ $ 90 $ &$ 1000. $ &$ 0.500 \times 10^{-1}$ & $ 0.198 $ &$ 0.575 $ &$ 0.563 $ &$ 8.41 $ &$ 4.30 $ &$ 1.42 $ &$ 9.56$ & $-0.03$ & $ 0.01$ & $-0.12$ & $ 9.56$ & $ 319$ \\ $ 91 $ &$ 1000. $ &$ 0.800 \times 10^{-1}$ & $ 0.124 $ &$ 0.453 $ &$ 0.444 $ &$ 9.27 $ &$ 4.90 $ &$ 1.70 $ &$ 10.6$ & $ 0.75$ & $-0.01$ & $ 0.31$ & $10.65$ & $ 319$ \\ $ 92 $ &$ 1000. $ &$ 0.130 $ & $ 0.076 $ &$ 0.494 $ &$ 0.486 $ &$ 10.27 $ &$ 5.00 $ &$ 1.65 $ &$ 11.5$ & $-0.44$ & $ 0.01$ & $ 0.00$ & $11.55$ & $ 319$ \\ $ 93 $ &$ 1000. $ &$ 0.180 $ & $ 0.055 $ &$ 0.250 $ &$ 0.246 $ &$ 13.48 $ &$ 5.40 $ &$ 1.43 $ &$ 14.6$ & $ 0.43$ & $ 0.00$ & $ 0.05$ & $14.59$ & $ 319$ \\ $ 94 $ &$ 1000. $ &$ 0.250 $ & $ 0.040 $ &$ 0.315 $ &$ 0.311 $ &$ 12.92 $ &$ 8.20 $ &$ 2.31 $ &$ 15.5$ & $ 0.64$ & $ 0.01$ & $ 0.94$ & $15.51$ & $ 319$ \\ $ 95 $ &$ 1000. $ &$ 0.400 $ & $ 0.025 $ &$ 0.124 $ &$ 0.123 $ &$ 22.73 $ &$ 13.30 $ &$ 2.13 $ &$ 26.4$ & $ 1.19$ & $-0.04$ & $ 0.29$ & $26.45$ & $ 319$ \\ $ 96 $ &$ 1200. $ &$ 0.140 \times 10^{-1}$ & $ 0.847 $ &$ 0.902 $ & --- & $ 6.56 $ &$ 1.95 $ &$ 3.31 $ &$ 7.61$ & $ 0.03$ & $ 0.00$ & $-0.20$ & $ 7.61$ & $ 319$ \\ $ 97 $ &$ 1200. $ &$ 0.200 \times 10^{-1}$ & $ 0.593 $ &$ 0.741 $ &$ 0.735 $ &$ 5.63 $ &$ 1.47 $ &$ 1.36 $ &$ 5.98$ & $ 0.29$ & $-0.01$ & $-0.16$ & $ 5.98$ & $ 319$ \\ $ 98 $ &$ 1200. $ &$ 0.320 \times 10^{-1}$ & $ 0.371 $ &$ 0.625 $ &$ 0.609 $ &$ 5.60 $ &$ 1.52 $ &$ 1.38 $ &$ 5.97$ & $ 0.36$ & $ 0.00$ & $-0.16$ & $ 5.98$ & $ 319$ \\ $ 99 $ &$ 1200. $ &$ 0.500 \times 10^{-1}$ & $ 0.237 $ &$ 0.552 $ &$ 0.536 $ &$ 5.20 $ &$ 1.34 $ &$ 1.48 $ &$ 5.57$ & $ 0.23$ & $ 0.00$ & $-0.03$ & $ 5.57$ & $ 319$ \\ $ 100 $ &$ 1200. $ &$ 0.800 \times 10^{-1}$ & $ 0.148 $ &$ 0.424 $ &$ 0.413 $ &$ 5.54 $ &$ 1.28 $ &$ 1.40 $ &$ 5.86$ & $ 0.19$ & $ 0.00$ & $-0.03$ & $ 5.86$ & $ 319$ \\ $ 101 $ &$ 1200. $ &$ 0.130 $ & $ 0.091 $ &$ 0.363 $ &$ 0.355 $ &$ 6.00 $ &$ 1.62 $ &$ 1.42 $ &$ 6.38$ & $ 0.20$ & $ 0.00$ & $-0.02$ & $ 6.38$ & $ 319$ \\ $ 102 $ &$ 1200. $ &$ 0.180 $ & $ 0.066 $ &$ 0.341 $ &$ 0.334 $ &$ 13.60 $ &$ 4.70 $ &$ 1.67 $ &$ 14.5$ & $ 0.41$ & $ 0.00$ & $ 0.40$ & $14.49$ & $ 319$ \\ $ 103 $ &$ 1200. $ &$ 0.250 $ & $ 0.047 $ &$ 0.266 $ &$ 0.261 $ &$ 6.82 $ &$ 1.50 $ &$ 1.41 $ &$ 7.13$ & $ 0.29$ & $ 0.00$ & $ 0.03$ & $ 7.13$ & $ 319$ \\ $ 104 $ &$ 1200. $ &$ 0.400 $ & $ 0.030 $ &$ 0.104 $ &$ 0.103 $ &$ 12.36 $ &$ 7.66 $ &$ 1.89 $ &$ 14.7$ & $ 0.79$ & $-0.01$ & $ 0.32$ & $14.69$ & $ 319$ \\ $ 105 $ &$ 1500. $ &$ 0.200 \times 10^{-1}$ & $ 0.741 $ &$ 0.838 $ & --- & $ 7.20 $ &$ 2.18 $ &$ 1.89 $ &$ 7.76$ & $ 0.00$ & $-0.01$ & $ 0.04$ & $ 7.76$ & $ 319$ \\ $ 106 $ &$ 1500. $ &$ 0.320 \times 10^{-1}$ & $ 0.463 $ &$ 0.732 $ &$ 0.707 $ &$ 6.45 $ &$ 1.65 $ &$ 1.53 $ &$ 6.83$ & $ 0.08$ & $ 0.00$ & $-0.20$ & $ 6.84$ & $ 319$ \\ $ 107 $ &$ 1500. $ &$ 0.500 \times 10^{-1}$ & $ 0.296 $ &$ 0.578 $ &$ 0.555 $ &$ 6.29 $ &$ 1.26 $ &$ 1.35 $ &$ 6.56$ & $ 0.27$ & $ 0.00$ & $-0.07$ & $ 6.57$ & $ 319$ \\ $ 108 $ &$ 1500. $ &$ 0.800 \times 10^{-1}$ & $ 0.185 $ &$ 0.469 $ &$ 0.452 $ &$ 6.53 $ &$ 1.45 $ &$ 1.43 $ &$ 6.84$ & $ 0.23$ & $ 0.00$ & $-0.09$ & $ 6.85$ & $ 319$ \\ $ 109 $ &$ 1500. $ &$ 0.130 $ & $ 0.114 $ &$ 0.399 $ &$ 0.386 $ &$ 7.83 $ &$ 1.77 $ &$ 1.47 $ &$ 8.16$ & $ 0.37$ & $ 0.00$ & $-0.06$ & $ 8.17$ & $ 319$ \\ $ 110 $ &$ 1500. $ &$ 0.180 $ & $ 0.082 $ &$ 0.310 $ &$ 0.302 $ &$ 8.69 $ &$ 1.57 $ &$ 1.39 $ &$ 8.94$ & $ 0.12$ & $ 0.00$ & $-0.04$ & $ 8.94$ & $ 319$ \\ $ 111 $ &$ 1500. $ &$ 0.250 $ & $ 0.059 $ &$ 0.248 $ &$ 0.242 $ &$ 10.17 $ &$ 2.27 $ &$ 1.38 $ &$ 10.5$ & $ 0.66$ & $ 0.00$ & $ 0.17$ & $10.54$ & $ 319$ \\ $ 112 $ &$ 1500. $ &$ 0.400 $ & $ 0.037 $ &$ 0.145 $ &$ 0.142 $ &$ 15.85 $ &$ 12.25 $ &$ 2.05 $ &$ 20.1$ & $ 1.30$ & $-0.02$ & $ 0.48$ & $20.19$ & $ 319$ \\ $ 113 $ &$ 1500. $ &$ 0.650 $ & $ 0.023 $ &$ 0.014 $ &$ 0.014 $ &$ 35.02 $ &$ 14.50 $ &$ 2.93 $ &$ 38.0$ & $ 2.31$ & $-0.05$ & $ 0.46$ & $38.09$ & $ 319$ \\ $ 114 $ &$ 2000. $ &$ 0.320 \times 10^{-1}$ & $ 0.618 $ &$ 0.751 $ & --- & $ 7.31 $ &$ 1.99 $ &$ 1.83 $ &$ 7.80$ & $ 0.26$ & $-0.01$ & $-0.21$ & $ 7.80$ & $ 319$ \\ $ 115 $ &$ 2000. $ &$ 0.500 \times 10^{-1}$ & $ 0.395 $ &$ 0.558 $ &$ 0.524 $ &$ 7.79 $ &$ 1.65 $ &$ 1.45 $ &$ 8.10$ & $ 0.46$ & $ 0.00$ & $-0.14$ & $ 8.11$ & $ 319$ \\ $ 116 $ &$ 2000. $ &$ 0.800 \times 10^{-1}$ & $ 0.247 $ &$ 0.479 $ &$ 0.452 $ &$ 7.63 $ &$ 1.73 $ &$ 1.67 $ &$ 8.00$ & $ 0.75$ & $ 0.00$ & $ 0.03$ & $ 8.04$ & $ 319$ \\ $ 117 $ &$ 2000. $ &$ 0.130 $ & $ 0.152 $ &$ 0.326 $ &$ 0.310 $ &$ 9.91 $ &$ 2.49 $ &$ 1.33 $ &$ 10.3$ & $ 0.86$ & $ 0.00$ & $ 0.11$ & $10.34$ & $ 319$ \\ $ 118 $ &$ 2000. $ &$ 0.180 $ & $ 0.110 $ &$ 0.270 $ &$ 0.258 $ &$ 10.87 $ &$ 1.98 $ &$ 1.50 $ &$ 11.2$ & $ 0.33$ & $ 0.00$ & $-0.12$ & $11.15$ & $ 319$ \\ $ 119 $ &$ 2000. $ &$ 0.250 $ & $ 0.079 $ &$ 0.258 $ &$ 0.248 $ &$ 11.64 $ &$ 2.39 $ &$ 1.51 $ &$ 12.0$ & $ 0.75$ & $ 0.00$ & $-0.02$ & $12.00$ & $ 319$ \\ $ 120 $ &$ 2000. $ &$ 0.400 $ & $ 0.049 $ &$ 0.104 $ &$ 0.101 $ &$ 17.11 $ &$ 5.25 $ &$ 2.07 $ &$ 18.0$ & $ 0.81$ & $ 0.00$ & $ 0.18$ & $18.04$ & $ 319$ \\ $ 121 $ &$ 3000. $ &$ 0.500 \times 10^{-1}$ & $ 0.593 $ &$ 0.626 $ &$ 0.558 $ &$ 7.79 $ &$ 2.90 $ &$ 1.94 $ &$ 8.54$ & $ 0.62$ & $-0.03$ & $-0.44$ & $ 8.57$ & $ 319$ \\ $ 122 $ &$ 3000. $ &$ 0.800 \times 10^{-1}$ & $ 0.371 $ &$ 0.498 $ &$ 0.446 $ &$ 8.02 $ &$ 2.06 $ &$ 1.39 $ &$ 8.39$ & $ 0.31$ & $ 0.00$ & $-0.09$ & $ 8.40$ & $ 319$ \\ $ 123 $ &$ 3000. $ &$ 0.130 $ & $ 0.228 $ &$ 0.425 $ &$ 0.387 $ &$ 9.18 $ &$ 3.08 $ &$ 1.32 $ &$ 9.77$ & $-0.01$ & $ 0.00$ & $ 0.19$ & $ 9.77$ & $ 319$ \\ $ 124 $ &$ 3000. $ &$ 0.180 $ & $ 0.165 $ &$ 0.320 $ &$ 0.294 $ &$ 10.64 $ &$ 2.62 $ &$ 1.36 $ &$ 11.1$ & $ 0.41$ & $ 0.00$ & $-0.09$ & $11.05$ & $ 319$ \\ $ 125 $ &$ 3000. $ &$ 0.250 $ & $ 0.119 $ &$ 0.267 $ &$ 0.249 $ &$ 12.06 $ &$ 3.13 $ &$ 1.61 $ &$ 12.6$ & $ 0.19$ & $-0.01$ & $ 0.06$ & $12.56$ & $ 319$ \\ $ 126 $ &$ 3000. $ &$ 0.400 $ & $ 0.074 $ &$ 0.145 $ &$ 0.137 $ &$ 16.10 $ &$ 5.47 $ &$ 1.82 $ &$ 17.1$ & $ 0.74$ & $-0.02$ & $ 0.39$ & $17.12$ & $ 319$ \\ $ 127 $ &$ 3000. $ &$ 0.650 $ & $ 0.046 $ &$ 0.020 $ &$ 0.019 $ &$ 43.21 $ &$ 5.95 $ &$ 2.27 $ &$ 43.7$ & $ 0.17$ & $ 0.00$ & $ 0.06$ & $43.67$ & $ 319$ \\ $ 128 $ &$ 5000. $ &$ 0.800 \times 10^{-1}$ & $ 0.618 $ &$ 0.637 $ & --- & $ 7.12 $ &$ 1.92 $ &$ 1.45 $ &$ 7.51$ & $ 0.39$ & $-0.01$ & $-0.28$ & $ 7.53$ & $ 319$ \\ $ 129 $ &$ 5000. $ &$ 0.130 $ & $ 0.380 $ &$ 0.479 $ &$ 0.394 $ &$ 9.55 $ &$ 2.46 $ &$ 1.34 $ &$ 9.95$ & $ 0.34$ & $ 0.00$ & $-0.20$ & $ 9.96$ & $ 319$ \\ $ 130 $ &$ 5000. $ &$ 0.180 $ & $ 0.274 $ &$ 0.425 $ &$ 0.359 $ &$ 9.68 $ &$ 2.48 $ &$ 1.38 $ &$ 10.1$ & $ 0.08$ & $ 0.00$ & $-0.01$ & $10.09$ & $ 319$ \\ $ 131 $ &$ 5000. $ &$ 0.250 $ & $ 0.198 $ &$ 0.302 $ &$ 0.262 $ &$ 12.35 $ &$ 3.53 $ &$ 1.56 $ &$ 12.9$ & $ 1.16$ & $ 0.00$ & $ 0.20$ & $12.99$ & $ 319$ \\ $ 132 $ &$ 5000. $ &$ 0.400 $ & $ 0.124 $ &$ 0.126 $ &$ 0.112 $ &$ 18.56 $ &$ 5.69 $ &$ 2.01 $ &$ 19.5$ & $ 1.58$ & $ 0.00$ & $-0.31$ & $19.58$ & $ 319$ \\ $ 133 $ &$ 5000. $ &$ 0.650 $ & $ 0.076 $ &$ 0.010 $ &$ 0.009 $ &$ 40.99 $ &$ 17.70 $ &$ 3.14 $ &$ 44.8$ & $ 1.73$ & $-0.03$ & $ 0.63$ & $44.79$ & $ 319$ \\ $ 134 $ &$ 8000. $ &$ 0.130 $ & $ 0.608 $ &$ 0.586 $ & --- & $ 10.57 $ &$ 2.54 $ &$ 2.58 $ &$ 11.2$ & $ 0.71$ & $ 0.00$ & $-0.25$ & $11.20$ & $ 319$ \\ $ 135 $ &$ 8000. $ &$ 0.180 $ & $ 0.439 $ &$ 0.386 $ &$ 0.285 $ &$ 13.69 $ &$ 2.83 $ &$ 1.50 $ &$ 14.1$ & $ 0.04$ & $ 0.00$ & $-0.18$ & $14.06$ & $ 319$ \\ $ 136 $ &$ 8000. $ &$ 0.250 $ & $ 0.316 $ &$ 0.301 $ &$ 0.233 $ &$ 15.36 $ &$ 3.59 $ &$ 1.55 $ &$ 15.8$ & $ 0.38$ & $-0.01$ & $ 0.05$ & $15.86$ & $ 319$ \\ $ 137 $ &$ 8000. $ &$ 0.400 $ & $ 0.198 $ &$ 0.161 $ &$ 0.131 $ &$ 21.81 $ &$ 7.34 $ &$ 2.02 $ &$ 23.1$ & $ 0.99$ & $ 0.00$ & $-0.30$ & $23.13$ & $ 319$ \\ $ 138 $ &$ 8000. $ &$ 0.650 $ & $ 0.122 $ &$ 0.020 $ &$ 0.017 $ &$ 64.03 $ &$ 3.95 $ &$ 1.56 $ &$ 64.2$ & $-0.06$ & $-0.01$ & $-0.02$ & $64.17$ & $ 319$ \\ \hline \hline \end{tabular} \end{center} \end{tiny} \tablecaption{\label{tab515a2}Continuation of \Tab~\ref{tab515a1}} \end{table} \begin{table} \begin{tiny} \begin{center} % \input{tabheadminus} \begin{tabular}{l|cccccccccccccc} \hline \hline Bin & $Q^2$ & $x$ & $y$ & $\sigma^{-~\rm ave}_{r}$ & $F_2^{\rm ave}$ & $\delta_{\rm ave,stat}$ & $\delta_{\rm ave,uncor}$ & $\delta_{\rm ave,cor}$ & $\delta_{\rm ave,exp~tot}$ & $\delta_{\rm ave,rel}$ & $\delta_{\rm ave,gp}$ & $\delta_{\rm ave,had}$ & $\delta_{\rm ave,tot}$ & $\sqrt{s}$\\ $\#$ & GeV$^2$ & & & & & \% & \% & \% & \% & \% & \% & \% &\% & GeV \\ \hline % \input{tables/p_3_515} $ 139 $ &$ 12000. $ &$ 0.180 $ & $ 0.659 $ &$ 0.453 $ & --- & $ 16.43 $ &$ 2.69 $ &$ 3.02 $ &$ 16.9$ & $ 0.50$ & $ 0.00$ & $ 0.10$ & $16.92$ & $ 319$ \\ $ 140 $ &$ 12000. $ &$ 0.250 $ & $ 0.474 $ &$ 0.282 $ &$ 0.189 $ &$ 21.74 $ &$ 4.83 $ &$ 1.55 $ &$ 22.3$ & $ 0.05$ & $ 0.00$ & $-0.50$ & $22.33$ & $ 319$ \\ $ 141 $ &$ 12000. $ &$ 0.400 $ & $ 0.296 $ &$ 0.093 $ &$ 0.068 $ &$ 35.72 $ &$ 10.68 $ &$ 2.55 $ &$ 37.4$ & $ 0.84$ & $-0.02$ & $-0.11$ & $37.38$ & $ 319$ \\ $ 142 $ &$ 20000. $ &$ 0.250 $ & $ 0.791 $ &$ 0.406 $ & --- & $ 26.54 $ &$ 3.29 $ &$ 2.47 $ &$ 26.9$ & $ 0.38$ & $-0.01$ & $-0.07$ & $26.86$ & $ 319$ \\ $ 143 $ &$ 20000. $ &$ 0.400 $ & $ 0.494 $ &$ 0.194 $ &$ 0.118 $ &$ 33.37 $ &$ 7.52 $ &$ 1.55 $ &$ 34.2$ & $ 0.51$ & $ 0.00$ & $-0.25$ & $34.25$ & $ 319$ \\ $ 144 $ &$ 20000. $ &$ 0.650 $ & $ 0.304 $ &$ 0.013 $ &$ 0.009 $ &$ 73.47 $ &$ 34.51 $ &$ 7.37 $ &$ 81.5$ & $ 3.18$ & $-0.04$ & $-0.40$ & $81.56$ & $ 319$ \\ $ 145 $ &$ 30000. $ &$ 0.400 $ & $ 0.741 $ &$ 0.247 $ & --- & $ 47.25 $ &$ 6.75 $ &$ 5.97 $ &$ 48.1$ & $-0.63$ & $ 0.00$ & $ 0.52$ & $48.11$ & $ 319$ \\ \hline \hline \end{tabular} \end{center} \end{tiny} \tablecaption{\label{tab515a3}Continuation of \Tab~\ref{tab515a1}} \end{table} \begin{table} \begin{tiny} \begin{center} % \input{tabheadcc} \begin{tabular}{l|cccccccccccccc} \hline \hline Bin & $Q^2$ & $x$ & $y$ & ${\rm d}^2 \sigma^{e^+p~{\rm ave}}_{CC}/{\rm d}x{\rm d}Q^2$ & $\sigma^{+~{\rm ave}}_{r,{\rm CC}} $ & $\delta_{\rm ave,stat}$ & $\delta_{\rm ave,uncor}$ & $\delta_{\rm ave,cor}$ & $\delta_{\rm ave,exp~tot}$ & $\delta_{\rm ave,rel}$ & $\delta_{\rm ave,gp}$ & $\delta_{\rm ave,had}$ & $\delta_{\rm ave,tot}$ & $\sqrt{s}$\\ $\#$ & GeV$^2$ & & & pb/GeV$^2$ & \% & \% & \% & \% & \% & \% & \% &\% & GeV \\ \hline % \input{tables/p_1_3615} $ 1 $ &$ 300. $ &$ 0.800 \times 10^{-2}$ & $ 0.371 $ &$ 0.136 $ & $ 1.417 $ &$ 19.12 $ &$ 2.80 $ &$ 3.97 $ &$ 19.7$ & $-1.25$ & $ 0.01$ & $ 0.09$ & $19.77$ & $ 319$ \\ $ 2 $ &$ 300. $ &$ 0.130 \times 10^{-1}$ & $ 0.228 $ &$ 0.695 $ & $ 1.173 $ &$ 8.83 $ &$ 2.54 $ &$ 3.59 $ &$ 9.86$ & $ 0.40$ & $-0.05$ & $-0.32$ & $ 9.87$ & $ 319$ \\ $ 3 $ &$ 300. $ &$ 0.320 \times 10^{-1}$ & $ 0.093 $ &$ 0.210 $ & $ 0.875 $ &$ 8.09 $ &$ 1.86 $ &$ 2.00 $ &$ 8.54$ & $ 1.20$ & $ 0.00$ & $ 0.15$ & $ 8.62$ & $ 319$ \\ $ 4 $ &$ 300. $ &$ 0.800 \times 10^{-1}$ & $ 0.037 $ &$ 0.466 \times 10^{-1}$ & $ 0.484 $ &$ 10.74 $ &$ 3.11 $ &$ 1.68 $ &$ 11.3$ & $ 0.64$ & $-0.01$ & $ 0.36$ & $11.33$ & $ 319$ \\ $ 5 $ &$ 500. $ &$ 0.130 \times 10^{-1}$ & $ 0.380 $ &$ 0.505 $ & $ 0.904 $ &$ 8.09 $ &$ 2.67 $ &$ 2.65 $ &$ 8.92$ & $ 0.75$ & $-0.02$ & $-0.16$ & $ 8.95$ & $ 319$ \\ $ 6 $ &$ 500. $ &$ 0.320 \times 10^{-1}$ & $ 0.154 $ &$ 0.168 $ & $ 0.740 $ &$ 6.93 $ &$ 1.84 $ &$ 1.24 $ &$ 7.28$ & $ 0.59$ & $ 0.00$ & $ 0.14$ & $ 7.30$ & $ 319$ \\ $ 7 $ &$ 500. $ &$ 0.800 \times 10^{-1}$ & $ 0.062 $ &$ 0.509 \times 10^{-1}$ & $ 0.561 $ &$ 7.36 $ &$ 1.74 $ &$ 1.15 $ &$ 7.65$ & $-0.41$ & $ 0.03$ & $-0.04$ & $ 7.66$ & $ 319$ \\ $ 8 $ &$ 500. $ &$ 0.130 $ & $ 0.038 $ &$ 0.242 \times 10^{-1}$ & $ 0.433 $ &$ 11.87 $ &$ 2.63 $ &$ 2.13 $ &$ 12.3$ & $ 0.16$ & $ 0.02$ & $ 0.22$ & $12.35$ & $ 319$ \\ $ 9 $ &$ 1000. $ &$ 0.130 \times 10^{-1}$ & $ 0.760 $ &$ 0.323 $ & $ 0.664 $ &$ 10.67 $ &$ 2.99 $ &$ 2.93 $ &$ 11.5$ & $-0.80$ & $-0.03$ & $ 0.24$ & $11.49$ & $ 319$ \\ $ 10 $ &$ 1000. $ &$ 0.320 \times 10^{-1}$ & $ 0.309 $ &$ 0.139 $ & $ 0.701 $ &$ 5.11 $ &$ 1.38 $ &$ 1.16 $ &$ 5.42$ & $ 0.02$ & $-0.01$ & $ 0.04$ & $ 5.42$ & $ 319$ \\ $ 11 $ &$ 1000. $ &$ 0.800 \times 10^{-1}$ & $ 0.124 $ &$ 0.434 \times 10^{-1}$ & $ 0.549 $ &$ 5.73 $ &$ 1.43 $ &$ 0.77 $ &$ 5.95$ & $ 0.12$ & $ 0.02$ & $ 0.20$ & $ 5.96$ & $ 319$ \\ $ 12 $ &$ 1000. $ &$ 0.130 $ & $ 0.076 $ &$ 0.213 \times 10^{-1}$ & $ 0.437 $ &$ 8.25 $ &$ 2.19 $ &$ 0.96 $ &$ 8.59$ & $ 0.29$ & $ 0.01$ & $ 0.08$ & $ 8.59$ & $ 319$ \\ $ 13 $ &$ 1000. $ &$ 0.250 $ & $ 0.040 $ &$ 0.702 \times 10^{-2}$ & $ 0.278 $ &$ 13.28 $ &$ 4.01 $ &$ 1.80 $ &$ 14.0$ & $ 1.01$ & $-0.01$ & $-0.38$ & $14.03$ & $ 319$ \\ $ 14 $ &$ 1500. $ &$ 0.320 \times 10^{-1}$ & $ 0.463 $ &$ 0.961 \times 10^{-1}$ & $ 0.553 $ &$ 7.91 $ &$ 1.19 $ &$ 1.27 $ &$ 8.10$ & $ 0.11$ & $ 0.02$ & $ 0.16$ & $ 8.10$ & $ 319$ \\ $ 15 $ &$ 1500. $ &$ 0.800 \times 10^{-1}$ & $ 0.185 $ &$ 0.312 \times 10^{-1}$ & $ 0.449 $ &$ 7.82 $ &$ 0.57 $ &$ 0.82 $ &$ 7.89$ & $-0.18$ & $ 0.00$ & $ 0.07$ & $ 7.89$ & $ 319$ \\ $ 16 $ &$ 1500. $ &$ 0.130 $ & $ 0.114 $ &$ 0.156 \times 10^{-1}$ & $ 0.365 $ &$ 10.45 $ &$ 0.74 $ &$ 1.13 $ &$ 10.5$ & $-0.28$ & $ 0.02$ & $ 0.09$ & $10.54$ & $ 319$ \\ $ 17 $ &$ 1500. $ &$ 0.250 $ & $ 0.059 $ &$ 0.555 \times 10^{-2}$ & $ 0.250 $ &$ 12.65 $ &$ 1.40 $ &$ 1.24 $ &$ 12.8$ & $-0.16$ & $-0.02$ & $ 0.57$ & $12.81$ & $ 319$ \\ $ 18 $ &$ 2000. $ &$ 0.320 \times 10^{-1}$ & $ 0.618 $ &$ 0.806 \times 10^{-1}$ & $ 0.524 $ &$ 7.67 $ &$ 3.18 $ &$ 1.84 $ &$ 8.50$ & $ 0.53$ & $ 0.03$ & $ 0.24$ & $ 8.52$ & $ 319$ \\ $ 19 $ &$ 2000. $ &$ 0.800 \times 10^{-1}$ & $ 0.247 $ &$ 0.251 \times 10^{-1}$ & $ 0.408 $ &$ 7.60 $ &$ 2.88 $ &$ 0.94 $ &$ 8.18$ & $ 0.28$ & $ 0.03$ & $ 0.30$ & $ 8.19$ & $ 319$ \\ $ 20 $ &$ 2000. $ &$ 0.130 $ & $ 0.152 $ &$ 0.146 \times 10^{-1}$ & $ 0.386 $ &$ 9.52 $ &$ 3.79 $ &$ 1.01 $ &$ 10.3$ & $ 1.11$ & $ 0.03$ & $ 0.61$ & $10.37$ & $ 319$ \\ $ 21 $ &$ 2000. $ &$ 0.250 $ & $ 0.079 $ &$ 0.418 \times 10^{-2}$ & $ 0.212 $ &$ 13.93 $ &$ 5.18 $ &$ 1.13 $ &$ 14.9$ & $ 1.58$ & $ 0.01$ & $ 0.38$ & $14.99$ & $ 319$ \\ $ 22 $ &$ 3000. $ &$ 0.800 \times 10^{-1}$ & $ 0.371 $ &$ 0.192 \times 10^{-1}$ & $ 0.390 $ &$ 5.20 $ &$ 1.61 $ &$ 1.13 $ &$ 5.56$ & $ 0.29$ & $ 0.03$ & $-0.26$ & $ 5.58$ & $ 319$ \\ $ 23 $ &$ 3000. $ &$ 0.130 $ & $ 0.228 $ &$ 0.939 \times 10^{-2}$ & $ 0.310 $ &$ 6.65 $ &$ 1.54 $ &$ 1.08 $ &$ 6.91$ & $ 0.38$ & $ 0.01$ & $ 0.08$ & $ 6.92$ & $ 319$ \\ $ 24 $ &$ 3000. $ &$ 0.250 $ & $ 0.119 $ &$ 0.284 \times 10^{-2}$ & $ 0.181 $ &$ 8.98 $ &$ 2.25 $ &$ 1.18 $ &$ 9.33$ & $ 0.42$ & $ 0.00$ & $ 0.02$ & $ 9.34$ & $ 319$ \\ $ 25 $ &$ 3000. $ &$ 0.400 $ & $ 0.074 $ &$ 0.731 \times 10^{-3}$ & $ 0.074 $ &$ 20.21 $ &$ 5.06 $ &$ 2.06 $ &$ 20.9$ & $ 1.08$ & $-0.06$ & $ 0.35$ & $20.96$ & $ 319$ \\ $ 26 $ &$ 5000. $ &$ 0.800 \times 10^{-1}$ & $ 0.618 $ &$ 0.826 \times 10^{-2}$ & $ 0.246 $ &$ 8.94 $ &$ 2.30 $ &$ 1.73 $ &$ 9.40$ & $ 0.66$ & $ 0.04$ & $-0.08$ & $ 9.42$ & $ 319$ \\ $ 27 $ &$ 5000. $ &$ 0.130 $ & $ 0.380 $ &$ 0.482 \times 10^{-2}$ & $ 0.234 $ &$ 7.32 $ &$ 1.83 $ &$ 1.18 $ &$ 7.64$ & $ 0.61$ & $ 0.02$ & $ 0.00$ & $ 7.66$ & $ 319$ \\ $ 28 $ &$ 5000. $ &$ 0.250 $ & $ 0.198 $ &$ 0.175 \times 10^{-2}$ & $ 0.163 $ &$ 8.63 $ &$ 1.98 $ &$ 1.48 $ &$ 8.98$ & $ 0.93$ & $ 0.00$ & $ 0.51$ & $ 9.04$ & $ 319$ \\ $ 29 $ &$ 5000. $ &$ 0.400 $ & $ 0.124 $ &$ 0.462 \times 10^{-3}$ & $ 0.069 $ &$ 16.59 $ &$ 3.98 $ &$ 2.24 $ &$ 17.2$ & $ 2.48$ & $-0.03$ & $ 0.47$ & $17.40$ & $ 319$ \\ $ 30 $ &$ 8000. $ &$ 0.130 $ & $ 0.608 $ &$ 0.175 \times 10^{-2}$ & $ 0.135 $ &$ 11.30 $ &$ 3.60 $ &$ 3.06 $ &$ 12.2$ & $ 0.90$ & $ 0.05$ & $-0.13$ & $12.29$ & $ 319$ \\ $ 31 $ &$ 8000. $ &$ 0.250 $ & $ 0.316 $ &$ 0.808 \times 10^{-3}$ & $ 0.120 $ &$ 10.68 $ &$ 3.25 $ &$ 2.12 $ &$ 11.4$ & $ 1.51$ & $ 0.01$ & $-0.01$ & $11.46$ & $ 319$ \\ $ 32 $ &$ 8000. $ &$ 0.400 $ & $ 0.198 $ &$ 0.222 \times 10^{-3}$ & $ 0.053 $ &$ 19.92 $ &$ 6.77 $ &$ 3.35 $ &$ 21.3$ & $ 1.86$ & $-0.05$ & $ 0.42$ & $21.39$ & $ 319$ \\ $ 33 $ &$ 15000. $ &$ 0.250 $ & $ 0.593 $ &$ 0.120 \times 10^{-3}$ & $ 0.039 $ &$ 21.82 $ &$ 5.09 $ &$ 3.75 $ &$ 22.7$ & $ 1.75$ & $ 0.06$ & $-0.17$ & $22.79$ & $ 319$ \\ $ 34 $ &$ 15000. $ &$ 0.400 $ & $ 0.371 $ &$ 0.113 \times 10^{-3}$ & $ 0.059 $ &$ 17.93 $ &$ 7.02 $ &$ 3.41 $ &$ 19.6$ & $ 2.16$ & $-0.03$ & $ 0.42$ & $19.68$ & $ 319$ \\ \hline \hline \end{tabular} \end{center} \end{tiny} \tablecaption{\label{tab3615a1} HERA combined double differential ${\rm d}^2 \sigma^{e^+p~{\rm ave}}_{CC}/{\rm d}x{\rm d}Q^2$ and reduced $\sigma^{+~{\rm ave}}_{r,{\rm CC}}$ cross section for CC $e^+p$ scattering. $\delta_{\rm ave,stat}$, $\delta_{\rm ave,uncor}$, $\delta_{\rm ave,cor}$ and $\delta_{\rm ave,exp~tot}$ represent the statistical, uncorrelated systematic, correlated systematic and total experimental uncertainty, respectively. $\delta_{\rm ave,rel}$, $\delta_{\rm ave,gp}$ and $\delta_{\rm ave,had}$ are the three correlated sources of uncertainties arising from the combination procedure, see \Sec~\ref{subsubsec:proc_errors}. $\delta_{\rm ave,tot}$ is the total uncertainty calculated by adding $\delta_{\rm ave,exp~tot}$ and the procedural errors in quadrature. The uncertainties are quoted in percent relative to ${\rm d}^2 \sigma^{e^+p~{\rm ave}}_{CC}/{\rm d}x{\rm d}Q^2$. The overall normalisation uncertainty of $0.5\%$ is not included. } \end{table} \begin{table} \begin{tiny} \begin{center} % \input{tabheadccminus} \begin{tabular}{l|cccccccccccccc} \hline \hline Bin & $Q^2$ & $x$ & $y$ & ${\rm d}^2 \sigma^{e^-p~{\rm ave}}_{CC}/{\rm d}x{\rm d}Q^2$ & $\sigma^{-~{\rm ave}}_{r,{\rm CC}} $ & $\delta_{\rm ave,stat}$ & $\delta_{\rm ave,uncor}$ & $\delta_{\rm ave,cor}$ & $\delta_{\rm ave,exp~tot}$ & $\delta_{\rm ave,rel}$ & $\delta_{\rm ave,gp}$ & $\delta_{\rm ave,had}$ & $\delta_{\rm ave,tot}$ & $\sqrt{s}$\\ $\#$ & GeV$^2$ & & & pb/GeV$^2$ & \% & \% & \% & \% & \% & \% & \% &\% & GeV \\ \hline % \input{tables/p_1_3515} $ 1 $ &$ 300. $ &$ 0.130 \times 10^{-1}$ & $ 0.228 $ &$ 0.393 $ & $ 0.663 $ &$ 60.18 $ &$ 7.49 $ &$ 11.91 $ &$ 61.8$ & $ 7.73$ & $-0.24$ & $ 0.43$ & $62.29$ & $ 319$ \\ $ 2 $ &$ 300. $ &$ 0.320 \times 10^{-1}$ & $ 0.093 $ &$ 0.286 $ & $ 1.188 $ &$ 22.51 $ &$ 6.15 $ &$ 6.22 $ &$ 24.1$ & $ 6.87$ & $-0.06$ & $ 0.45$ & $25.11$ & $ 319$ \\ $ 3 $ &$ 300. $ &$ 0.800 \times 10^{-1}$ & $ 0.037 $ &$ 0.632 \times 10^{-1}$ & $ 0.657 $ &$ 42.56 $ &$ 8.72 $ &$ 6.47 $ &$ 43.9$ & $ 3.32$ & $-0.20$ & $ 0.86$ & $44.05$ & $ 319$ \\ $ 4 $ &$ 500. $ &$ 0.130 \times 10^{-1}$ & $ 0.380 $ &$ 0.477 $ & $ 0.854 $ &$ 27.75 $ &$ 7.42 $ &$ 6.96 $ &$ 29.6$ & $ 1.64$ & $-0.03$ & $ 0.18$ & $29.60$ & $ 319$ \\ $ 5 $ &$ 500. $ &$ 0.320 \times 10^{-1}$ & $ 0.154 $ &$ 0.249 $ & $ 1.097 $ &$ 17.39 $ &$ 4.45 $ &$ 3.94 $ &$ 18.4$ & $ 2.27$ & $-0.12$ & $ 0.51$ & $18.52$ & $ 319$ \\ $ 6 $ &$ 500. $ &$ 0.800 \times 10^{-1}$ & $ 0.062 $ &$ 0.764 \times 10^{-1}$ & $ 0.841 $ &$ 19.54 $ &$ 4.50 $ &$ 2.36 $ &$ 20.2$ & $-0.28$ & $ 0.00$ & $ 0.58$ & $20.20$ & $ 319$ \\ $ 7 $ &$ 500. $ &$ 0.130 $ & $ 0.038 $ &$ 0.545 \times 10^{-1}$ & $ 0.976 $ &$ 29.14 $ &$ 6.50 $ &$ 1.99 $ &$ 29.9$ & $-0.40$ & $-0.01$ & $ 0.89$ & $29.94$ & $ 319$ \\ $ 8 $ &$ 1000. $ &$ 0.130 \times 10^{-1}$ & $ 0.760 $ &$ 0.708 $ & $ 1.456 $ &$ 25.99 $ &$ 16.51 $ &$ 5.59 $ &$ 31.3$ & $-1.81$ & $ 0.00$ & $ 0.07$ & $31.35$ & $ 319$ \\ $ 9 $ &$ 1000. $ &$ 0.320 \times 10^{-1}$ & $ 0.309 $ &$ 0.169 $ & $ 0.855 $ &$ 14.43 $ &$ 4.05 $ &$ 2.32 $ &$ 15.2$ & $ 0.28$ & $-0.01$ & $ 0.35$ & $15.17$ & $ 319$ \\ $ 10 $ &$ 1000. $ &$ 0.800 \times 10^{-1}$ & $ 0.124 $ &$ 0.628 \times 10^{-1}$ & $ 0.794 $ &$ 13.16 $ &$ 4.18 $ &$ 2.13 $ &$ 14.0$ & $-0.15$ & $ 0.00$ & $ 0.31$ & $13.97$ & $ 319$ \\ $ 11 $ &$ 1000. $ &$ 0.130 $ & $ 0.076 $ &$ 0.344 \times 10^{-1}$ & $ 0.708 $ &$ 17.24 $ &$ 3.71 $ &$ 2.66 $ &$ 17.8$ & $-0.30$ & $ 0.02$ & $ 0.47$ & $17.84$ & $ 319$ \\ $ 12 $ &$ 1000. $ &$ 0.250 $ & $ 0.040 $ &$ 0.140 \times 10^{-1}$ & $ 0.554 $ &$ 37.44 $ &$ 10.50 $ &$ 1.47 $ &$ 38.9$ & $ 0.16$ & $-0.01$ & $-0.06$ & $38.91$ & $ 319$ \\ $ 13 $ &$ 1500. $ &$ 0.320 \times 10^{-1}$ & $ 0.463 $ &$ 0.155 $ & $ 0.895 $ &$ 18.04 $ &$ 8.80 $ &$ 2.66 $ &$ 20.2$ & $ 0.21$ & $-0.01$ & $ 0.00$ & $20.24$ & $ 319$ \\ $ 14 $ &$ 1500. $ &$ 0.800 \times 10^{-1}$ & $ 0.185 $ &$ 0.549 \times 10^{-1}$ & $ 0.791 $ &$ 14.02 $ &$ 3.60 $ &$ 1.86 $ &$ 14.6$ & $-0.01$ & $-0.01$ & $-0.03$ & $14.60$ & $ 319$ \\ $ 15 $ &$ 1500. $ &$ 0.130 $ & $ 0.114 $ &$ 0.321 \times 10^{-1}$ & $ 0.752 $ &$ 18.04 $ &$ 3.10 $ &$ 2.24 $ &$ 18.4$ & $-0.15$ & $-0.01$ & $-0.13$ & $18.44$ & $ 319$ \\ $ 16 $ &$ 1500. $ &$ 0.250 $ & $ 0.059 $ &$ 0.102 \times 10^{-1}$ & $ 0.458 $ &$ 24.02 $ &$ 2.05 $ &$ 2.56 $ &$ 24.2$ & $-0.37$ & $ 0.00$ & $-0.11$ & $24.24$ & $ 319$ \\ $ 17 $ &$ 2000. $ &$ 0.320 \times 10^{-1}$ & $ 0.618 $ &$ 0.131 $ & $ 0.854 $ &$ 15.55 $ &$ 4.30 $ &$ 2.30 $ &$ 16.3$ & $ 0.35$ & $ 0.00$ & $ 0.47$ & $16.30$ & $ 319$ \\ $ 18 $ &$ 2000. $ &$ 0.800 \times 10^{-1}$ & $ 0.247 $ &$ 0.567 \times 10^{-1}$ & $ 0.923 $ &$ 13.04 $ &$ 3.80 $ &$ 1.51 $ &$ 13.7$ & $-0.11$ & $ 0.00$ & $ 0.31$ & $13.67$ & $ 319$ \\ $ 19 $ &$ 2000. $ &$ 0.130 $ & $ 0.152 $ &$ 0.197 \times 10^{-1}$ & $ 0.521 $ &$ 21.20 $ &$ 4.40 $ &$ 1.48 $ &$ 21.7$ & $-0.24$ & $ 0.00$ & $ 0.47$ & $21.71$ & $ 319$ \\ $ 20 $ &$ 2000. $ &$ 0.250 $ & $ 0.079 $ &$ 0.861 \times 10^{-2}$ & $ 0.438 $ &$ 25.51 $ &$ 6.50 $ &$ 1.41 $ &$ 26.4$ & $-0.11$ & $ 0.00$ & $ 0.30$ & $26.36$ & $ 319$ \\ $ 21 $ &$ 3000. $ &$ 0.800 \times 10^{-1}$ & $ 0.371 $ &$ 0.333 \times 10^{-1}$ & $ 0.677 $ &$ 9.91 $ &$ 2.60 $ &$ 1.75 $ &$ 10.4$ & $-0.10$ & $ 0.00$ & $ 0.28$ & $10.40$ & $ 319$ \\ $ 22 $ &$ 3000. $ &$ 0.130 $ & $ 0.228 $ &$ 0.211 \times 10^{-1}$ & $ 0.698 $ &$ 10.88 $ &$ 3.49 $ &$ 1.45 $ &$ 11.5$ & $ 0.84$ & $ 0.01$ & $-0.01$ & $11.55$ & $ 319$ \\ $ 23 $ &$ 3000. $ &$ 0.250 $ & $ 0.119 $ &$ 0.746 \times 10^{-2}$ & $ 0.474 $ &$ 13.44 $ &$ 3.33 $ &$ 1.36 $ &$ 13.9$ & $-0.08$ & $ 0.00$ & $ 0.21$ & $13.91$ & $ 319$ \\ $ 24 $ &$ 3000. $ &$ 0.400 $ & $ 0.074 $ &$ 0.246 \times 10^{-2}$ & $ 0.250 $ &$ 26.82 $ &$ 10.03 $ &$ 2.99 $ &$ 28.8$ & $ 1.59$ & $-0.05$ & $-1.08$ & $28.86$ & $ 319$ \\ $ 25 $ &$ 5000. $ &$ 0.800 \times 10^{-1}$ & $ 0.618 $ &$ 0.195 \times 10^{-1}$ & $ 0.581 $ &$ 12.66 $ &$ 4.23 $ &$ 3.05 $ &$ 13.7$ & $ 0.88$ & $ 0.02$ & $ 0.07$ & $13.72$ & $ 319$ \\ $ 26 $ &$ 5000. $ &$ 0.130 $ & $ 0.380 $ &$ 0.129 \times 10^{-1}$ & $ 0.626 $ &$ 11.18 $ &$ 3.42 $ &$ 1.33 $ &$ 11.8$ & $ 0.37$ & $ 0.00$ & $-0.12$ & $11.77$ & $ 319$ \\ $ 27 $ &$ 5000. $ &$ 0.250 $ & $ 0.198 $ &$ 0.429 \times 10^{-2}$ & $ 0.400 $ &$ 13.35 $ &$ 2.74 $ &$ 1.41 $ &$ 13.7$ & $ 0.59$ & $ 0.00$ & $ 0.10$ & $13.71$ & $ 319$ \\ $ 28 $ &$ 5000. $ &$ 0.400 $ & $ 0.124 $ &$ 0.189 \times 10^{-2}$ & $ 0.283 $ &$ 18.80 $ &$ 5.71 $ &$ 2.53 $ &$ 19.8$ & $ 2.41$ & $-0.02$ & $-0.96$ & $19.97$ & $ 319$ \\ $ 29 $ &$ 8000. $ &$ 0.130 $ & $ 0.608 $ &$ 0.802 \times 10^{-2}$ & $ 0.619 $ &$ 12.72 $ &$ 4.37 $ &$ 2.16 $ &$ 13.6$ & $ 0.44$ & $ 0.01$ & $-0.43$ & $13.64$ & $ 319$ \\ $ 30 $ &$ 8000. $ &$ 0.250 $ & $ 0.316 $ &$ 0.380 \times 10^{-2}$ & $ 0.565 $ &$ 11.44 $ &$ 3.23 $ &$ 1.59 $ &$ 12.0$ & $ 0.54$ & $ 0.00$ & $-0.34$ & $12.01$ & $ 319$ \\ $ 31 $ &$ 8000. $ &$ 0.400 $ & $ 0.198 $ &$ 0.105 \times 10^{-2}$ & $ 0.250 $ &$ 19.41 $ &$ 4.61 $ &$ 2.91 $ &$ 20.2$ & $ 0.99$ & $ 0.00$ & $-0.92$ & $20.20$ & $ 319$ \\ $ 32 $ &$ 15000. $ &$ 0.250 $ & $ 0.593 $ &$ 0.133 \times 10^{-2}$ & $ 0.434 $ &$ 16.39 $ &$ 6.52 $ &$ 3.49 $ &$ 18.0$ & $ 0.27$ & $ 0.01$ & $-0.83$ & $18.00$ & $ 319$ \\ $ 33 $ &$ 15000. $ &$ 0.400 $ & $ 0.371 $ &$ 0.372 \times 10^{-3}$ & $ 0.195 $ &$ 23.55 $ &$ 5.91 $ &$ 3.33 $ &$ 24.5$ & $ 1.54$ & $ 0.01$ & $-1.36$ & $24.59$ & $ 319$ \\ $ 34 $ &$ 30000. $ &$ 0.400 $ & $ 0.741 $ &$ 0.106 \times 10^{-3}$ & $ 0.160 $ &$ 54.99 $ &$ 3.60 $ &$ 9.58 $ &$ 55.9$ & $ 1.38$ & $ 0.03$ & $-0.20$ & $55.95$ & $ 319$ \\ \hline \hline \end{tabular} \end{center} \end{tiny} \tablecaption{\label{tab3515a1} HERA combined double differential ${\rm d}^2 \sigma^{e^-p~{\rm ave}}_{CC}/{\rm d}x{\rm d}Q^2$ and reduced $\sigma^{-~{\rm ave}}_{r,{\rm CC}}$ cross section for CC $e^-p$ scattering. $\delta_{\rm ave,stat}$, $\delta_{\rm ave,uncor}$, $\delta_{\rm ave,cor}$ and $\delta_{\rm ave,exp~tot}$ represent the statistical, uncorrelated systematic, correlated systematic and total experimental uncertainty, respectively. $\delta_{\rm ave,rel}$, $\delta_{\rm ave,gp}$ and $\delta_{\rm ave,had}$ are the three correlated sources of uncertainties arising from the combination procedure, see \Sec~\ref{subsubsec:proc_errors}. $\delta_{\rm ave,tot}$ is the total uncertainty calculated by adding $\delta_{\rm ave,exp~tot}$ and the procedural errors in quadrature. The uncertainties are quoted in percent relative to ${\rm d}^2 \sigma^{e^-p~{\rm ave}}_{CC}/{\rm d}x{\rm d}Q^2$. The overall normalisation uncertainty of $0.5\%$ is not included. } \end{table} % \input{figures} \clearpage \begin{figure} \centerline{\epsfig{file=d09-158f1.eps ,width=\linewidth}} \caption{Distribution of pulls $\rm p$ for the following samples: a) NC $e^+p$ for $Q^2< 3.5$~GeV$^2$; b) NC $e^+p$ for $3.5 \le Q^2 < 100$~GeV$^2$; c) NC $e^+p$ for $Q^2\ge 100$~GeV$^2$; d) NC $e^-p$; e) CC $e^+p$ and f) CC $e^-p$. There are no entries outside the histogram ranges. \label{fig:pulls} RMS gives the root mean square of each distribution calculated as $\overline{{\rm p}^2}$. The curves show the results of binned log-likelihood Gaussian fits to the distributions. } \end{figure} \begin{figure} \centerline{\epsfig{file=d09-158f2.eps ,width=\linewidth}} \caption{Distribution of pulls $\rm p_s$ for correlated systematic uncertainties including global normalisations. There are no entries outside the histogram range. RMS gives the root mean square of the distribution calculated as $\overline{{\rm p_S}^2}$. The curve shows the result of a binned log-likelihood Gaussian fit to the distribution. \label{fig:syspulls}} \end{figure} %\begin{figure} %\centerline{\epsfig{file=uncertainty.eps,width=\linewidth}} %\caption{Total experimental uncertainties $\delta_{\rm ave,exp~tot}$ %given in per mill of the combined NC $e^+p$ data set. %The colour coding, given in the legend, groups the measurements %based on the size of the uncertainty.\label{fig:uncertainty}} %\end{figure} \clearpage \begin{figure}[tbp] \vspace{-0.5cm} %\vspace*{5pt} \centerline{ \epsfig{figure=d09-158f3.eps ,width=\linewidth}} \caption {HERA combined NC $e^+p$ reduced cross section as a function of $Q^2$ for six $x$-bins compared to the separate H1 and ZEUS data input to the averaging procedure. The individual measurements are displaced horizontally for better visibility. } \label{fig:quality} \end{figure} % \begin{figure}[tbp] %\vspace{-1.0cm} %\vspace*{5pt} \centerline{ \epsfig{figure=d09-158f4.eps ,width=\linewidth} } \caption {HERA combined CC $e^+p$ reduced cross section compared to the separate H1 and ZEUS data input to the averaging procedure. The individual measurements are displaced horizontally for better visibility. } \label{fig:quality2} \end{figure} %\begin{figure}[tbp] %%\vspace{-1.0cm} %%\vspace*{5pt} %\centerline{ %\epsfig{figure=ccem-exp.eps,width=\linewidth}} %\caption {HERA combined CC $e^-$ data compared to the separate %H1 and ZEUS data input to the averaging procedure. % } %\label{fig:quality3} %\end{figure} \begin{figure}[tbp] \vspace{-0.5cm} %\vspace*{5pt} \centerline{ \epsfig{figure=d09-158f5.eps ,width=\linewidth} } \caption {HERA combined NC $e^+p$ reduced cross section at very low $Q^2$. } \label{fig:vsQ2l} \end{figure} \begin{figure}[tbp] \vspace{-0.5cm} %\vspace*{5pt} \centerline{ \epsfig{figure=d09-158f6.eps ,width=\linewidth} } \caption {HERA combined NC $e^+p$ reduced cross section at low $Q^2$. The HERAPDF1.0 fit is superimposed. The bands represent the total uncertainty of the fit. Dashed lines are shown for $Q^2$-bins not included in the QCD analysis. } \label{fig:vsQ2m} \end{figure} \begin{figure}[tbp] %\vspace{-1.0cm} %\vspace*{5pt} \centerline{ \epsfig{figure=d09-158f7.eps ,width=\linewidth}} \caption {HERA combined NC $e^+p$ reduced cross section for high $Q^2$. The predictions of the HERAPDF1.0 fit are superimposed. The bands represent the total uncertainty of the fit. } \label{fig:dataNCp} \end{figure} \begin{figure}[tbp] %\vspace{-1.0cm} %\vspace*{5pt} \centerline{ \epsfig{figure=d09-158f8.eps ,width=\linewidth}} \caption {HERA combined NC $e^-p$ reduced cross section. The HERAPDF1.0 fit is superimposed. The bands represent the total uncertainty of the fit. } \label{fig:dataNCm} \end{figure} \begin{figure}[tbp] \vspace{-0.5cm} %\vspace*{5pt} \centerline{ \epsfig{figure=d09-158f9.eps ,width=\linewidth}} \caption {HERA combined NC $e^+p$ reduced cross section and fixed-target data as a function of $Q^2$. The HERAPDF1.0 fit is superimposed. The bands represent the total uncertainty of the fit. Dashed lines are shown for $Q^2$ values not included in the QCD analysis. } \label{fig:scal} \end{figure} \begin{figure}[tbp] \vspace{-0.5cm} %\vspace*{5pt} \centerline{ \epsfig{figure=d09-158f10.eps ,width=\linewidth}} \caption {HERA combined NC $e^{\pm}p$ reduced cross sections at high $Q^2$. The HERAPDF1.0 fit is superimposed. The bands represent the total uncertainty of the fit. } \label{fig:ncepem} \end{figure} \begin{figure}[tbp] %\vspace{-1.0cm} %\vspace*{5pt} \centerline{ \epsfig{figure=d09-158f11.eps ,width=\linewidth} } \caption {HERA combined CC $e^+p$ reduced cross section. The HERAPDF1.0 fit is superimposed. The bands represent the total uncertainty of the fit. } \label{fig:dataCCp} \end{figure} \begin{figure}[tbp] %\vspace{-1.0cm} %\vspace*{5pt} \centerline{ \epsfig{figure=d09-158f12.eps ,width=\linewidth}} \caption {HERA combined CC $e^-p$ reduced cross section. The HERAPDF1.0 fit is superimposed. The bands represent the total uncertainty of the fit. } \label{fig:dataCCm} \end{figure} \begin{figure}[tbp] \vspace{-0.3cm} %\vspace*{5pt} \centerline{ \epsfig{figure=d09-158f13.eps ,width=0.9\textwidth}} \caption { The parton distribution functions from HERAPDF1.0, $xu_v,xd_v,xS=2x(\bar{U}+\bar{D}),xg$, at $Q^2=1.9~$GeV$^2$. The break-up of the Sea PDF, $xS$, into the flavours, $xu_{sea}=2x\bar{u}$, $xd_{sea}=2x\bar{d}$, $xs_{sea}=2x\bar{s}$, is illustrated. Fractional uncertainty bands are shown below each PDF. The experimental, model and parametrisation uncertainties are shown separately. } \label{fig:pdfs2} \end{figure} \begin{figure}[tbp] \vspace{-0.3cm} %\vspace*{5pt} \centerline{ \epsfig{figure=d09-158f14.eps ,width=0.9\textwidth}} \caption { The parton distribution functions from HERAPDF1.0, $xu_v,xd_v,xS=2x(\bar{U}+\bar{D}),xg$, at $Q^2=10~$GeV$^2$. The break-up of the Sea PDF, $xS$, into the flavours, $xu_{sea}=2x\bar{u}$, $xd_{sea}=2x\bar{d}$, $xs_{sea}=2x\bar{s}$, $xc_{sea}=2x\bar{c}$ is illustrated. Fractional uncertainty bands are shown below each PDF. The experimental, model and parametrisation uncertainties are shown separately. \label{fig:pdfs10}} \end{figure} %\begin{figure}[tbp] %\vspace{-0.3cm} %%\vspace*{5pt} %\centerline{ %\epsfig{figure=herapdf1.0_uvdvSg_100.eps ,width=0.9\textwidth}} %\caption {HERAPDFs, $xu_v,xd_v,xS,xg$, at $Q^2=100~$GeV$^2$. %Fractional uncertainty bands are shown %beneath each PDF. The experimental, model and parametrisation %uncertainties are shown %separately as the red, yellow and green bands respectively.} %\label{fig:pdfs100} %\end{figure} \begin{figure}[tbp] \vspace{-0.3cm} %\vspace*{5pt} \centerline{ \epsfig{figure=d09-158f15.eps ,width=0.9\textwidth}} \caption { The parton distribution functions from HERAPDF1.0, $xu_v,xd_v,xS=2x(\bar{U}+\bar{D}),xg$, at $Q^2=10,000~$GeV$^2$. The break-up of the Sea PDF, $xS$, into the flavours, $xu_{sea}=2x\bar{u}$, $xd_{sea}=2x\bar{d}$, $xs_{sea}=2x\bar{s}$, $xc_{sea}=2x\bar{c}$, $xb_{sea}=2x\bar{b}$ is illustrated. Fractional uncertainty bands are shown below each PDF. The experimental, model and parametrisation uncertainties are shown separately.} \label{fig:pdfs10000} \end{figure} \clearpage \begin{figure}[tbp] \vspace{-0.3cm} %\vspace*{5pt} \centerline{ \epsfig{figure=d09-158f16.eps ,width=0.9\textwidth}} \vspace{0.5cm} \caption { The parton distribution functions from HERAPDF1.0, $xU, xD, x\bar{U}, x\bar{D}$ at $Q^2=10~$GeV$^2$. Fractional uncertainty bands are shown below each PDF. The experimental, model and parametrisation uncertainties are shown separately.} \label{fig:pdfsUD} \end{figure} \begin{figure}[tbp] \vspace{-0.3cm} %\vspace*{5pt} \centerline{ \epsfig{figure=d09-158f17.eps ,width=0.9\textwidth}} \vspace{0.5cm} \caption { The parton distribution functions from HERAPDF1.0, $x\bar{u}, x\bar{d}, x\bar{c}, x\bar{s}$ at $Q^2=10~$GeV$^2$. Fractional uncertainty bands are shown below each PDF. The experimental, model and parametrisation uncertainties are shown separately.} \label{fig:pdfsudcs} \end{figure} \begin{figure}[tbp] \vspace{-0.5cm} %\vspace*{5pt} \centerline{ \epsfig{figure=d09-158f18a.eps ,width=0.7\textwidth}} \vspace*{-0.6cm} \centerline{ \epsfig{figure=d09-158f18b.eps ,width=0.7\textwidth}} \caption { The parton distribution functions from HERAPDF1.0, $xu_v,xd_v,xS=2x(\bar{U}+\bar{D}),xg$, at $Q^2 = 1.9$~GeV$^2$ (top) and $Q^2 = 10$~GeV$^2$ (bottom). The gluon and sea distributions are scaled down by a factor $20$. The experimental, model and parametrisation uncertainties are shown separately. } \label{fig:summary} \end{figure} \begin{figure}[tbp] \vspace{-0.5cm} %\vspace*{5pt} \centerline{ \epsfig{figure=d09-158f19a.eps ,width=0.7\textwidth}} \vspace*{-0.6cm} \centerline{ \epsfig{figure=d09-158f19b.eps ,width=0.7\textwidth}} \caption { The parton distribution functions from HERAPDF1.0, $xu_v,xd_v,xS=2x(\bar{U}+\bar{D}),xg$, at $Q^2 = 1.9$~GeV$^2$ (top) and $Q^2 = 10$~GeV$^2$ (bottom). The experimental, model and parametrisation uncertainties are shown separately. A logarithmic scale is used to emphasize regions where PDFs are small. } \label{fig:summarylog} \end{figure} \begin{figure}[tbp] \vspace{-0.2cm} %\vspace*{5pt} \centerline{ \epsfig{figure=d09-158f20.eps ,width=0.9\textwidth}} \caption { The parton distribution functions obtained using ACOT heavy-flavour scheme compared to HERAPDF1.0 for $xu_v,xd_v,xS=2x(\bar{U}+\bar{D}),xg$, at $Q^2=10$~GeV$^2$. The bands show total uncertainties of the HERAPDF1.0 fit. } \label{fig:acot} \end{figure} \begin{figure}[tbp] \vspace{-0.2cm} %\vspace*{5pt} \centerline{ \epsfig{figure=d09-158f21.eps ,width=0.9\textwidth}} \caption { The gluon density $xg$ from HERAPDF1.0 compared for different values of $\alpha_S$. The band shows total uncertainties of the HERAPDF1.0 fit. } \label{fig:alf} \end{figure} \end{document}