% ================================================================ % LaTeX file with prefered layout for H1 paper drafts % use: dvips -D600 file-name %================================================================ %%%%%%%%%%%%% LATEX HEADER %%%%%%%%%%%%% DO NOT DELET NOT CHANGE ANYTHING IN THE HEADER %%%%%%%%%%%%% UNLESS CLEARLY RECOMMENDED \documentclass[12pt]{article} \usepackage[T1]{fontenc} \usepackage{amsmath} \usepackage{amssymb} \usepackage{times} \usepackage{txfonts} %\usepackage[mathlines,displaymath]{lineno} \DeclareMathAlphabet{\mathbold}{OML}{txr}{b}{it} %\usepackage[font={small,it}]{caption} \usepackage[font={small}]{caption} \usepackage{multirow} \usepackage{units} \usepackage{epsfig} \usepackage{hhline} \usepackage{dsfont} \usepackage{color} \usepackage{cancel} \usepackage{ulem} \usepackage{cite} % Use this package to display references as [21-25], which in contrast removes the hyperlink \usepackage{longtable} \usepackage{xspace} \usepackage{bm} % 'bold' math symbols (better use \usepackage{newtxtext,newtxmath}, if available on latex distribution) \usepackage{acronym} %\usepackage{bbold} %%%%%%%%%%%%% Comment the next two lines to remove the line numbering \usepackage[]{lineno} \linenumbers %%%%%%%%%%%%%% %%%%%%%%%%%% Useful packages \usepackage{graphicx} \usepackage{rotating} \usepackage{hyperref} % has to be last package loaded \hypersetup{colorlinks=true, urlcolor=blue} \usepackage{cite} % DB: enable also clickable references (must be loaded after hyperref) \hypersetup{ colorlinks, citecolor=blue, linkcolor=red, urlcolor=blue } %%%%%%%%%%%% \renewcommand{\topfraction}{1.0} \renewcommand{\bottomfraction}{1.0} \renewcommand{\textfraction}{0.0} \renewcommand{\arraystretch}{1.25} % make lines a bit larger for tables \newlength{\dinwidth} \newlength{\dinmargin} \setlength{\dinwidth}{21.0cm} \textheight23.5cm \textwidth16.0cm \setlength{\dinmargin}{\dinwidth} \setlength{\unitlength}{1mm} \addtolength{\dinmargin}{-\textwidth} \setlength{\dinmargin}{0.5\dinmargin} \oddsidemargin -1.0in \addtolength{\oddsidemargin}{\dinmargin} \setlength{\evensidemargin}{\oddsidemargin} \setlength{\marginparwidth}{0.9\dinmargin} \marginparsep 8pt \marginparpush 5pt \topmargin -42pt \headheight 12pt \headsep 30pt \footskip 24pt \parskip 3mm plus 2mm minus 2mm % do not indent first line of paragraph! %\setlength{\parindent}{0pt} \usepackage{parskip} %%%%%%%%%%%%%%%% END OF LATEX HEADER %===============================title page============================= \begin{document} %% uncertainties: Absolute and relative uncertainties \newcommand{\delrel}{\ensuremath{\delta}} \newcommand{\delabs}{\ensuremath{\Delta}} \newcommand{\dabs}[2][1]{\ensuremath{\delabs^{{\rm{#1}}}_{{#2}}}} \newcommand{\drel}[2][1]{\ensuremath{\delrel^{{\rm{#1}}}_{{#2}}}} \newcommand{\Nsys}{{N_{\rm sys}}} \newcommand{\stat}{{\rm stat}} \newcommand{\sys}{{\rm sys}} \newcommand{\TODO}{{\color{red}TODO}\xspace} \newcommand{\muf}{\ensuremath{\mu_{f}}\xspace} \newcommand{\mur}{\ensuremath{\mu_{r}}\xspace} \newcommand{\as}{\ensuremath{\alpha_s}\xspace} \newcommand{\asmz}{\ensuremath{\alpha_s(M_Z)}\xspace} \newcommand{\asmur}{\ensuremath{\alpha_s(\mur)}\xspace} \newcommand{\aem}{\ensuremath{\alpha_{\mathrm{em}}}\xspace} \newcommand{\Lumi}{\ensuremath{\mathcal{L}}} \newcommand{\pb}{\rm pb} \newcommand{\invpb}{\ensuremath{\rm{pb}^{-1}}} \newcommand{\PDF}{\ensuremath{{\rm PDF}}\xspace} \renewcommand{\deg}{\ensuremath{^\circ}\xspace} \newcommand{\unitmatrix}{1\!\!1} \newcommand{\fC}{\ensuremath{f^{\rm C}}\xspace} \newcommand{\fU}{\ensuremath{f^{\rm U}}\xspace} % bold faces: no ensuremath for them \newcommand{\bas}{\boldsymbol{{\alpha_s}}} \newcommand{\basmz}{\boldsymbol{\alpha_s(M_Z)}} \newcommand{\bmur}{\boldsymbol{\mu_{r}}} %% unfolding \newcommand{\chisq}{\ensuremath{\chi^{2}}} \newcommand{\chisqA}{\ensuremath{\chi_{\rm A}^{2}}} \newcommand{\chisqL}{\ensuremath{\chi_{\rm L}^{2}}} \newcommand{\ndf}{\ensuremath{n_{\rm dof}}} \newcommand{\A}{\ensuremath{\bm{A}}} \newcommand{\M}{\ensuremath{\bm{M}}} \newcommand{\V}{\ensuremath{\bm{V}}} \newcommand{\B}{\ensuremath{\bm{B}}} \newcommand{\J}{\ensuremath{\bm{J}}} \newcommand{\N}{\ensuremath{\bm{N}}} \newcommand{\LL}{\ensuremath{\bm{L}}} %% calibration and cluster separation \newcommand{\femjet}{\ensuremath{f_{\mathrm{em,jet}}}\xspace} \newcommand{\femjetgen}{\ensuremath{f_{\mathrm{em,jet}}^{\mathrm{gen}}}\xspace} \newcommand{\femjetrec}{\ensuremath{f_{\mathrm{em,jet}}^{\mathrm{rec}}}\xspace} \newcommand{\Pem}{\ensuremath{P_{\mathrm{em}}}\xspace} \newcommand{\Eem}{\ensuremath{E_{\mathrm{em}}}\xspace} \newcommand{\Ehad}{\ensuremath{E_{\mathrm{had}}}\xspace} %\newcommand{\Ptbal}{\ensuremath{P_{\mathrm{T}}\text{--}\mathrm{balance}}\xspace} \newcommand{\Ptbal}{\ensuremath{P_{\mathrm{T}}}--balance\ } \newcommand{\PTbal}{\ensuremath{P_{\mathrm{T,bal}}}\xspace} \newcommand{\Ptgen}{\ensuremath{P_{\mathrm{T}}^\mathrm{gen}}\xspace} \newcommand{\Ptda}{\ensuremath{P_{\mathrm{T}}^{\mathrm{da}}}\xspace} \newcommand{\thetajet}{\ensuremath{\theta_{\mathrm{jet}}}\xspace} \newcommand{\etajet}{\ensuremath{\eta_{\mathrm{jet}}}\xspace} \newcommand{\Ejet}{\ensuremath{E_{\mathrm{jet}}}\xspace} \newcommand{\Ejetda}{\ensuremath{E^{\mathrm{da}}_{\mathrm{jet}}}\xspace} \newcommand{\relres}{\ensuremath{\sigma(\Ejet)/\Ejet}\xspace} % hadronic variables \newcommand{\Empz}{\ensuremath{E-p_z}\xspace} \newcommand{\gammah}{\ensuremath{\gamma_{\mathrm{h}}}\xspace} \newcommand{\Pth}{\ensuremath{P_{\mathrm{T}}^{\mathrm{h}}}\xspace} \newcommand{\Pzh}{\ensuremath{p_z^{\mathrm{h}}}\xspace} \newcommand{\h}{\ensuremath{\mathrm{h}}} % electron variables \newcommand{\e}{\ensuremath{\mathrm{e}}} \newcommand{\Ee}{\ensuremath{E_\mathrm{e}^\prime}\xspace} \newcommand{\Pte}{\ensuremath{P_{\mathrm{T}}^{\mathrm{e}}}\xspace} \newcommand{\thetae}{\ensuremath{\theta_\mathrm{e^\prime}}\xspace} \newcommand{\phie}{\ensuremath{\phi_\mathrm{e}}\xspace} \newcommand{\Eda}{\ensuremath{E^{\mathrm{da}}}\xspace} % beams \newcommand{\Ebeam}{\ensuremath{E_{\mathrm{e}}}\xspace} \newcommand{\Pbeam}{\ensuremath{E_{\mathrm{p}}}\xspace} %% observables \newcommand{\xbj}{\ensuremath{x}\xspace} \newcommand{\Qsq}{\ensuremath{Q^2}\xspace} %% p_T: \newcommand{\ptjet}{\ensuremath{P_{\rm T}^{\rm jet}}\xspace} \newcommand{\ptjetmin}{\ensuremath{P_{\rm T,min}^{\rm jet}}\xspace} \newcommand{\meanpt}{\ensuremath{\langle P_{\rm T} \rangle}} \newcommand{\meanptdi}{\ensuremath{\langle P_{\mathrm{T}} \rangle_{2}}\xspace} \newcommand{\meanpttri}{\ensuremath{\langle P_{\mathrm{T}} \rangle_{3}}\xspace} \newcommand{\pt}{\ensuremath{P_{\rm T}}\xspace} \newcommand{\Pt}{\ensuremath{P_{\mathrm{T}}}\xspace} \newcommand{\Ptone}{\ensuremath{P_{\mathrm{T,1}}}\xspace} \newcommand{\Pttwo}{\ensuremath{P_{\mathrm{T,2}}}\xspace} \newcommand{\kt}{\ensuremath{{k_{\mathrm{T}}}}\xspace} \newcommand{\antikt}{\ensuremath{{\mathrm{anti-}k_{\mathrm{T}}}}\xspace} \newcommand{\bkt}{\ensuremath{\bm{k}_{\boldsymbol{\mathrm{T}}} }\xspace} \newcommand{\bantikt}{\ensuremath{\boldsymbol{\mathrm{anti-}}\bm{k}_{\boldsymbol{\mathrm{T}}}}\xspace} \newcommand{\etal}{{\it et al.}} \newcommand{\Hone}{[H1 Collaboration]} \newcommand{\Et}{\ensuremath{E_\mathrm{T}}\xspace} \newcommand{\etalab}{\ensuremath{\eta^{\mathrm{jet}}_{\mathrm{lab}}}\xspace} \newcommand{\ptlab}{\ensuremath{P^{\mathrm{jet}}_{\mathrm{T,lab}}}\xspace} \newcommand{\Mjj}{\ensuremath{M_{\mathrm{12}}}\xspace} \newcommand{\Mjjj}{\ensuremath{M_{\rm 123}}} \newcommand{\xij}{\ensuremath{\xi}\xspace} \newcommand{\xidi}{\ensuremath{\xi_2}\xspace} \newcommand{\xitri}{\ensuremath{\xi_3}\xspace} \newcommand{\ud}{\ensuremath{\mathrm{d}}\xspace} \newcommand{\LO}{\ensuremath{\mathcal{O}(\alpha_s^0)}\xspave} \newcommand{\Oa}{\ensuremath{\mathcal{O}(\alpha_s)}\xspace} \newcommand{\Oaa}{\ensuremath{\mathcal{O}(\alpha_s^2)}\xspace} \newcommand{\Oaaa}{\ensuremath{\mathcal{O}(\alpha_s^3)}\xspace} \newcommand{\eq}{equation} \newcommand{\fig}{figure} \newcommand{\tab}{table} \newcommand{\GeV}{\ensuremath{\mathrm{GeV}}\xspace} \newcommand{\GeVsq}{\ensuremath{\mathrm{GeV}^2}\xspace} \newcommand{\fifteen}{\ensuremath{15\,000}} \newcommand{\dd}{\mathrm{d}} \newcommand{\Ord}{\ensuremath{\mathcal{O}}} %%% systematic uncertainties \newcommand{\dHFS}[2][] {\dabs[RCES]{#2}\xspace} \newcommand{\dJES}[2][] {\dabs[JES]{#2}\xspace} \newcommand{\dLAr}[2][] {\dabs[LAr Noise]{#2}\xspace} \newcommand{\dEe}[2][] {\dabs[E_{e}]{#2}\xspace} \newcommand{\dThe}[2][] {\dabs[\theta_{e}]{#2}\xspace} \newcommand{\dID}[2][] {\dabs[ID(e)]{#2}\xspace} \newcommand{\dMod}[2][] {\dabs[Model]{#2}\xspace} \newcommand{\dModRW}[2][] {\dabs[ModelRW]{#2}\xspace} \newcommand{\dLumi}[2][]{\dabs[Lumi]{#2}\xspace} \newcommand{\dTrig}[2][]{\dabs[Trig]{#2}\xspace} \newcommand{\dTCl}[2][] {\dabs[TrkCl]{#2}\xspace} \newcommand{\dNorm}[2][]{\dabs[Norm]{#2}\xspace} \newcommand{\dMCSt}[2][] {\dabs[MCstat]{#2}\xspace} %% CS tables \newcommand{\csdsub}{\ensuremath{}} \newcommand{\csdsubn}{\ensuremath{}} \newcommand{\CS}{\ensuremath{\sigma}} \newcommand{\CSN}{\ensuremath{\sigma/\sigma_{\rm NC}}} \newcommand{\trenn}{\cdot} %% bold symbols \newcommand{\bQsq}{\bm{Q^2}} \newcommand{\bxidi}{\bm{\xi_2}} \newcommand{\bxitri}{\bm{\xi_3}} \newcommand{\bmeanptdi}{\bm{\langle P_{\mathrm{T}} \rangle_{2}}} \newcommand{\bmeanpttri}{\bm{\langle P_{\mathrm{T}} \rangle_{3}}} \newcommand{\bptjet}{\bm{P_{\rm T}^{\rm jet}}} \newcommand{\bpt}{\bm{P_{\mathrm{T}}}} \newcommand{\DStat}[1]{\drel[\stat]{#1}\xspace} \newcommand{\DSys}[1] {\drel[\sys]{#1}\xspace} \newcommand{\DHFS}[1] {\drel[RCES]{#1}\xspace} \newcommand{\DJES}[1] {\drel[JES]{#1}\xspace} \newcommand{\DLAr}[1] {\drel[LAr Noise]{#1}\xspace} \newcommand{\DEe}[1] {\drel[E_{e^\prime}]{#1}\xspace} \newcommand{\DThe}[1] {\drel[\theta_{e^\prime}]{#1}\xspace} \newcommand{\DID}[1] {\drel[ID(e)]{#1}\xspace} \newcommand{\DLumi}[1]{\drel[Lumi]{#1}\xspace} \newcommand{\DTrig}[1]{\drel[Trig]{#1}\xspace} \newcommand{\DTCL}[1] {\drel[TrkCl]{#1}\xspace} \newcommand{\DMod}[1] {\drel[Model]{#1}\xspace} \newcommand{\DModRW}[1] {\drel[ModelRW]{#1}\xspace} \newcommand{\DNorm}[1]{\drel[Norm]{#1}\xspace} \newcommand{\DMCSt}[1][] {\drel[MCstat]{#1}\xspace} \newcommand{\cHad} {\ensuremath{c^{\rm had}} } \newcommand{\cEW} {\ensuremath{c^{\rm ew}}} \newcommand{\cRad} {\ensuremath{c^{\rm rad}} } \newcommand{\cHadi} {\ensuremath{c_i^{\rm had}}} \newcommand{\cRadi} {\ensuremath{c_i^{\rm rad}}} \newcommand{\cEWi} {\ensuremath{c_i^{\rm ew}}} \newcommand{\DHad} {\drel[had]{}\xspace} \newcommand{\DRad} {\drel[rad]{}\xspace} %%% Cross sections \newcommand{\sI} {\ensuremath{\sigma_{\rm jet}}\xspace} \newcommand{\sD} {\ensuremath{\sigma_{\rm dijet}}\xspace} \newcommand{\sT} {\ensuremath{\sigma_{\rm trijet}}\xspace} \newcommand{\sNC} {\ensuremath{\sigma_{\rm NC}}\xspace} %\newcommand{\sIN} {\ensuremath{\tfrac{\sI}{\sNC}}\xspace} %\newcommand{\sDN} {\ensuremath{\tfrac{\sD}{\sNC}}\xspace} %\newcommand{\sTN} {\ensuremath{\tfrac{\sT}{\sNC}}\xspace} \newcommand{\sIN} {\ensuremath{\displaystyle\frac{\sI}{\sNC}}\xspace} \newcommand{\sDN} {\ensuremath{\displaystyle\frac{\sD}{\sNC}}\xspace} \newcommand{\sTN} {\ensuremath{\displaystyle\frac{\sT}{\sNC}}\xspace} %\newcommand{\sIN} {\ensuremath{\nicefrac{\sI}{\sNC}}\xspace} % displaced %\newcommand{\sDN} {\ensuremath{\nicefrac{\sD}{\sNC}}\xspace} %\newcommand{\sTN} {\ensuremath{\nicefrac{\sT}{\sNC}}\xspace} % Journal macro \def\Journal#1#2#3#4{{#1}~{\bf #2} (#3) #4} %\def\NCA{\em Nuovo Cimento} %\def\NIM{\em Nucl. Instrum. Methods} %\def\NIMA{{\em Nucl. Instrum. Methods} {\bf A}} %\def\NPB{{\em Nucl. Phys.} {\bf B}} %\def\PLB{{\em Phys. Lett.} {\bf B}} %\def\PRL{\em Phys. Rev. Lett.} %\def\PRD{{\em Phys. Rev.} {\bf D}} %\def\ZPC{{\em Z. Phys.} {\bf C}} %\def\EJC{{\em Eur. Phys. J.} {\bf C}} %\def\CPC{\em Comp. Phys. Commun.} % \def\NPB{Nucl. Phys.~} \def\PRL{Phys. Rev. Lett.~} \def\EPJC{Eur. Phys. J.~} \def\PLB{Phys. Lett.~} \def\NIM{Nucl. Instrum. Meth.~} \def\PRD{Phys. Rev.~} \def\JHEP{JHEP~} \def\PROC{Conf. Proc.~} \def\CPC{Comp. Phys. Commun.~} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% title page %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \begin{titlepage} \noindent \begin{flushleft} {\tt Erratum to: DESY 16-200 \hfill ISSN 0418-9833} \\ {\tt May 2021} \\ \end{flushleft} %\noindent %Date: \ \ \ 13.10.2016 \\ %Version: 2.0 (draft for final reading) \\ %Editors: D. Britzger (daniel.britzger@desy.de) \\ %Referees: J. Gayler, V. Chekelian \\ %Final reading scheduled for 24.10.2016 \\ %\noindent \vspace{2cm} \begin{center} \begin{Large} Erratum to \\ {\bf Measurement of Jet Production Cross Sections in Deep-inelastic ep Scattering at HERA}\\ Eur.Phys.J. C77 (2017) 215 \vspace{2cm} H1 Collaboration \end{Large} \end{center} \vspace{2.5cm} \begin{abstract} \noindent The measurement of the jet cross sections by the H1 collaboration had been compared to various predictions including the next-to-next-to-leading order (NNLO) QCD calculations which are corrected in this erratum for an implementation error in one of the components of the NNLO calculations. The jet data and the other predictions remain unchanged. Eight figures, one table and conclusions are adapted accordingly, exhibiting even better agreement between the corrected NNLO predictions and the jet data. \end{abstract} \vspace{2.5cm} \begin{center} Submitted to EPJ C \end{center} \end{titlepage} \begin{flushleft} % \input{h1autsnew} %-- H1AUTS Author list by names %-- Status: Mon Jul 11 16:22:36 CEST 2016 Number of authors = 139 V.~Andreev$^{19}$, %LPI -PD 8/88 Andreev A.~Baghdasaryan$^{31}$, %YERE-PD 09/03 Baghdasaryana K.~Begzsuren$^{28}$, %ULBA-PD 04/06 Begzsuren A.~Belousov$^{19}$, %LPI -HON 12/12 Belousov A.~Bolz$^{12}$, %HDB1-DIP 09/14 Bolz V.~Boudry$^{22}$, %ECPL-PD 1/93 Boudry G.~Brandt$^{41}$, %GOET-PD 03/07 Brandt V.~Brisson$^{21}$, %ORSA-HON 01/12 Brisson D.~Britzger$^{10}$, %DESY-PD 06/13 Britzger A.~Buniatyan$^{2}$, %BIRM-HON 06/14 Buniatyan A.~Bylinkin$^{43}$, %MIPT-PD 12/14 Bylinkin L.~Bystritskaya$^{18}$, %ITEP-PD 05/99 Bystritskaya A.J.~Campbell$^{10}$, %DESY-PD 10/84 Campbella K.B.~Cantun~Avila$^{17}$, %MEX1-PD 05/13 Cantunavila K.~Cerny$^{25}$, %PRG2-PD 11/08 Cernyk V.~Chekelian$^{20}$, %MPIM-PD 01/90 Chekelian J.G.~Contreras$^{17}$, %MEX1-PROF 03/98 Contreras J.~Cvach$^{24}$, %PRAG-HON 11/14 Cvach J.B.~Dainton$^{14}$, %LIVE-PROF 01/94 Dainton K.~Daum$^{30}$, %WUPP-HON 08/15 Daum C.~Diaconu$^{16}$, %MARS-PD 09/96 Diaconu M.~Dobre$^{4}$, %BUCH-PD 12/12 Dobre V.~Dodonov$^{10}$, %DESY-PD 04/98 Dodonov G.~Eckerlin$^{10}$, %DESY-PD 8/88 Eckerlin S.~Egli$^{29}$, %PSI -PD 01/10 Egli E.~Elsen$^{10}$, %DESY-PROF 01/06 Elsen L.~Favart$^{3}$, %BRUX-PROF 10/99 Favart A.~Fedotov$^{18}$, %ITEP-PD 8/88 Fedotov J.~Feltesse$^{9}$, %SACL-HON 11/06 Feltesse J.~Ferencei$^{44}$, %NPIC-PD 08/88 Ferencei M.~Fleischer$^{10}$, %DESY-PD 07/95 Fleischer A.~Fomenko$^{19}$, %LPI -PD 02/89 Fomenko E.~Gabathuler$^{14,\dagger{}}$, %LIVE-HON 01/12 Gabathulere J.~Gayler$^{10}$, %DESY-HON 02/05 Gayler S.~Ghazaryan$^{10}$, %DFLC-PD 09/09 Ghazaryan L.~Goerlich$^{6}$, %CRAC-PD 8/88 Goerlich N.~Gogitidze$^{19}$, %LPI -PD 05/91 Gogitidze M.~Gouzevitch$^{35}$, %IPNL-PD 10/11 Gouzevitch C.~Grab$^{33}$, %ZUTH-PROF 08/07 Grab A.~Grebenyuk$^{3}$, %BRUX-PD 04/12 Grebenyuk T.~Greenshaw$^{14}$, %LIVE-PD 8/88 Greenshaw G.~Grindhammer$^{20}$, %MPIM-HON 09/11 Grindhammer D.~Haidt$^{10}$, %DESY-HON 03/04 Haidt R.C.W.~Henderson$^{13}$, %LANC-PROF 10/04 Henderson J.~Hladk\`y$^{24}$, %PRAG-HON 12/02 Hladky D.~Hoffmann$^{16}$, %MARS-PD 07/00 Hoffmann R.~Horisberger$^{29}$, %PSI -PD 01/10 Horisberger T.~Hreus$^{3}$, %BRUX-PD 10/08 Hreus F.~Huber$^{12}$, %HDB1-PD 01/13 Huberf M.~Jacquet$^{21}$, %ORSA-PD 09/96 Jacquet X.~Janssen$^{3}$, %ANTW-PD 02/03 Janssenx H.~Jung$^{10,3}$, %DESY-PROF 12/99 Jungh M.~Kapichine$^{8}$, %JINR-PD 3/97 Kapichine J.~Katzy$^{10}$, %DESY-PD 01/94 Katzy C.~Kiesling$^{20}$, %MPIM-HON 09/11 Kiesling M.~Klein$^{14}$, %LIVE-PROF 12/06 Klein C.~Kleinwort$^{10}$, %DESY-PD 8/88 Kleinwort R.~Kogler$^{11}$, %HAM2-PD 12/10 Kogler P.~Kostka$^{14}$, %ZEUT-PD 10/87 Kostka J.~Kretzschmar$^{14}$, %LIVE-PD 03/08 Kretzschmar D.~Kr\"ucker$^{10}$, %DESY-PD 01/96 Kruecker K.~Kr\"uger$^{10}$, %DESY-PD 01/04 Kruegerk M.P.J.~Landon$^{15}$, %QMWC-PD 10/83 Landon W.~Lange$^{32}$, %ZEUT-PD 8/88 Lange P.~Laycock$^{14}$, %LIVE-PD 11/03 Laycock A.~Lebedev$^{19}$, %LPI -HON 12/12 Lebedev S.~Levonian$^{10}$, %DESY-PD 08/88 Levonian K.~Lipka$^{10}$, %DESY-PD 06/01 Lipka B.~List$^{10}$, %DESY-PD 11/99 Listb J.~List$^{10}$, %DFLC-PD 10/00 Listj B.~Lobodzinski$^{20}$, %MPIM-LEFT 01/15 Lobodzinski E.~Malinovski$^{19}$, %LPI -PD 01/89 Malinovskie H.-U.~Martyn$^{1}$, %AAC1-HON 01/12 Martyn S.J.~Maxfield$^{14}$, %LIVE-PD 8/88 Maxfield A.~Mehta$^{14}$, %LIVE-PROF 06/00 Mehta A.B.~Meyer$^{10}$, %DESY-PD 10/97 Meyeran H.~Meyer$^{30}$, %WUPP-HON 12/00 Meyerhi J.~Meyer$^{10}$, %DESY-HON 10/14 Meyerj S.~Mikocki$^{6}$, %CRAC-PROF 10/10 Mikocki A.~Morozov$^{8}$, %JINR-PD 06/99 Morozova K.~M\"uller$^{34}$, %ZUER-PD 11/94 Muellerk Th.~Naumann$^{32}$, %ZEUT-PROF 01/05 Naumannt P.R.~Newman$^{2}$, %BIRM-PROF 10/09 Newman C.~Niebuhr$^{10}$, %DESY-PD 3/93 Niebuhr G.~Nowak$^{6}$, %CRAC-PROF 02/12 Nowakg J.E.~Olsson$^{10}$, %DESY-HON 09/10 Olsson D.~Ozerov$^{29}$, %PSI -PD 09/15 Ozerov C.~Pascaud$^{21}$, %ORSA-HON 09/05 Pascaud G.D.~Patel$^{14}$, %LIVE-PD 8/88 Patel E.~Perez$^{37}$, %SACL-PD 10/07 Perez A.~Petrukhin$^{35}$, %IPNL-PD 09/09 Petrukhin I.~Picuric$^{23}$, %PODG-PROF 12/07 Picuric H.~Pirumov$^{10}$, %DESY-PD 04/13 Pirumov D.~Pitzl$^{10}$, %DESY-PD 8/88 Pitzl R.~Pla\v{c}akyt\.{e}$^{10}$, %DESY-PD 10/06 Placakyte R.~Polifka$^{25,39}$, %PRG2-PD 05/11 Polifka V.~Radescu$^{45}$, %OXFU-PD 10/06 Radescu N.~Raicevic$^{23}$, %PODG-PD 06/02 Raicevic T.~Ravdandorj$^{28}$, %ULBA-PROF 09/00 Ravdandorj P.~Reimer$^{24}$, %PRAG-PD 07/90 Reimer E.~Rizvi$^{15}$, %QMWC-PROF 03/04 Rizvi P.~Robmann$^{34}$, %ZUER-PD 8/88 Robmann R.~Roosen$^{3}$, %BRUX-HON 03/12 Roosen A.~Rostovtsev$^{42}$, %IITP-PROF 02/11 Rostovtsev M.~Rotaru$^{4}$, %BUCH-PD 06/11 Rotaru D.~\v S\'alek$^{25}$, %PRG2-PD 10/10 Salek D.P.C.~Sankey$^{5}$, %RAL -PD 01/90 Sankey M.~Sauter$^{12}$, %HDB1-PD 10/09 Sauter E.~Sauvan$^{16,40}$, %MARS-PD 11/1 Sauvan S.~Schmitt$^{10}$, %DESY-PD 09/99 Schmittst L.~Schoeffel$^{9}$, %SACL-PROF 10/10 Schoeffel A.~Sch\"oning$^{12}$, %HDB1-PROF 01/09 Schoening F.~Sefkow$^{10}$, %DFLC-PD 09/99 Sefkow S.~Shushkevich$^{36}$, %SINP-PD 08/11 Shushkevich Y.~Soloviev$^{10,19}$, %LPI -PD 08/89 Soloviev P.~Sopicki$^{6}$, %CRAC-PD 03/14 Sopicki D.~South$^{10}$, %DESY-PD 05/03 South V.~Spaskov$^{8}$, %JINR-PD 12/97 Spaskov A.~Specka$^{22}$, %ECPL-PROF 09/05 Specka M.~Steder$^{10}$, %DESY-PD 09/08 Steder B.~Stella$^{26}$, %ROME-HON 11/10 Stella U.~Straumann$^{34}$, %ZUER-PROF 09/95 Straumann T.~Sykora$^{3,25}$, %ANTW-PD 01/06 Sykora P.D.~Thompson$^{2}$, %BIRM-PD 08/99 Thompsonp D.~Traynor$^{15}$, %QMWC-PD 10/01 Traynor P.~Tru\"ol$^{34,\dagger{}}$, %ZUER-HON 10/06 Truoel I.~Tsakov$^{27}$, %SOFI-PROF 03/12 Tsakov B.~Tseepeldorj$^{28,38}$, %ULBA-PROF 06/06 Tseepeldorj A.~Valk\'arov\'a$^{25}$, %PRG2-PD 8/88 Valkarova C.~Vall\'ee$^{16}$, %MARS-PD 06/86 Vallee P.~Van~Mechelen$^{3}$, %ANTW-PROF 01/06 Vanmechelen Y.~Vazdik$^{19}$, %LPI -PD 8/88 Vazdik D.~Wegener$^{7}$, %DORT-HON 01/15 Wegener E.~W\"unsch$^{10}$, %DESY-PD 8/88 Wuensch J.~\v{Z}\'a\v{c}ek$^{25}$, %PRG2-PROF 10/05 Zacek Z.~Zhang$^{21}$, %ORSA-PD 10/92 Zhang R.~\v{Z}leb\v{c}\'{i}k$^{25}$, %PRG2-ST 03/12 Zlebcik H.~Zohrabyan$^{31}$, %YERE-PD 11/02 Zohrabyan and F.~Zomer$^{21}$ %ORSA-PROF 09/06 Zomer %\newpage %-- H1 Institutes \bigskip{\it $ ^{\dagger{}}$ Deceased \medskip $ ^{1}$ I. Physikalisches Institut der RWTH, Aachen, Germany \\ $ ^{2}$ School of Physics and Astronomy, University of Birmingham, Birmingham, UK$^{ b}$ \\ $ ^{3}$ Inter-University Institute for High Energies ULB-VUB, Brussels and Universiteit Antwerpen, Antwerp, Belgium$^{ c}$ \\ $ ^{4}$ Horia Hulubei National Institute for R\&D in Physics and Nuclear Engineering (IFIN-HH) , Bucharest, Romania$^{ i}$ \\ $ ^{5}$ STFC, Rutherford Appleton Laboratory, Didcot, Oxfordshire, UK$^{ b}$ \\ $ ^{6}$ Institute of Nuclear Physics Polish Academy of Sciences, Krakow, Poland$^{ d}$ \\ $ ^{7}$ Institut f\"ur Physik, TU Dortmund, Dortmund, Germany$^{ a}$ \\ $ ^{8}$ Joint Institute for Nuclear Research, Dubna, Russia \\ $ ^{9}$ Irfu/SPP, CE Saclay, GIF-SUR-YVETTE, France \\ $ ^{10}$ DESY, Hamburg, Germany \\ $ ^{11}$ Institut f\"ur Experimentalphysik, Universit\"at Hamburg, Hamburg, Germany$^{ a}$ \\ $ ^{12}$ Physikalisches Institut, Universit\"at Heidelberg, Heidelberg, Germany$^{ a}$ \\ $ ^{13}$ Department of Physics, University of Lancaster, Lancaster, UK$^{ b}$ \\ $ ^{14}$ Department of Physics, University of Liverpool, Liverpool, UK$^{ b}$ \\ $ ^{15}$ School of Physics and Astronomy, Queen Mary, University of London, London, UK$^{ b}$ \\ $ ^{16}$ Aix Marseille Universit\'{e}, CNRS/IN2P3, CPPM UMR 7346, 13288 Marseille, France \\ $ ^{17}$ Departamento de Fisica Aplicada, CINVESTAV, M\'erida, Yucat\'an, M\'exico$^{ g}$ \\ $ ^{18}$ Institute for Theoretical and Experimental Physics, Moscow, Russia$^{ h}$ \\ $ ^{19}$ Lebedev Physical Institute, Moscow, Russia \\ $ ^{20}$ Max-Planck-Institut f\"ur Physik, M\"unchen, Germany \\ $ ^{21}$ LAL, Universit\'e Paris-Sud, CNRS/IN2P3, Orsay, France \\ $ ^{22}$ LLR, Ecole Polytechnique, CNRS/IN2P3, Palaiseau, France \\ $ ^{23}$ Faculty of Science, University of Montenegro, Podgorica, Montenegro$^{ j}$ \\ $ ^{24}$ Institute of Physics, Academy of Sciences of the Czech Republic, Praha, Czech Republic$^{ e}$ \\ $ ^{25}$ Faculty of Mathematics and Physics, Charles University, Praha, Czech Republic$^{ e}$ \\ $ ^{26}$ Dipartimento di Fisica Universit\`a di Roma Tre and INFN Roma~3, Roma, Italy \\ $ ^{27}$ Institute for Nuclear Research and Nuclear Energy, Sofia, Bulgaria \\ $ ^{28}$ Institute of Physics and Technology of the Mongolian Academy of Sciences, Ulaanbaatar, Mongolia \\ $ ^{29}$ Paul Scherrer Institut, Villigen, Switzerland \\ $ ^{30}$ Fachbereich C, Universit\"at Wuppertal, Wuppertal, Germany \\ $ ^{31}$ Yerevan Physics Institute, Yerevan, Armenia \\ $ ^{32}$ DESY, Zeuthen, Germany \\ $ ^{33}$ Institut f\"ur Teilchenphysik, ETH, Z\"urich, Switzerland$^{ f}$ \\ $ ^{34}$ Physik-Institut der Universit\"at Z\"urich, Z\"urich, Switzerland$^{ f}$ \\ \bigskip $ ^{35}$ Now at IPNL, Universit\'e Claude Bernard Lyon 1, CNRS/IN2P3, Villeurbanne, France \\ $ ^{36}$ Now at Lomonosov Moscow State University, Skobeltsyn Institute of Nuclear Physics, Moscow, Russia \\ $ ^{37}$ Now at CERN, Geneva, Switzerland \\ $ ^{38}$ Also at Ulaanbaatar University, Ulaanbaatar, Mongolia \\ $ ^{39}$ Also at Department of Physics, University of Toronto, Toronto, Ontario, Canada M5S 1A7 \\ $ ^{40}$ Also at LAPP, Universit\'e de Savoie, CNRS/IN2P3, Annecy-le-Vieux, France \\ $ ^{41}$ Now at II. Physikalisches Institut, Universit\"at G\"ottingen, G\"ottingen, Germany \\ $ ^{42}$ Now at Institute for Information Transmission Problems RAS, Moscow, Russia$^{ k}$ \\ $ ^{43}$ Now at Moscow Institute of Physics and Technology, Dolgoprudny, Moscow Region, Russian Federation$^{ l}$ \\ $ ^{44}$ Now at Nuclear Physics Institute of the CAS, \v{R}e\v{z}, Czech Republic \\ $ ^{45}$ Now at Department of Physics, Oxford University, Oxford, UK \\ \bigskip $ ^a$ Supported by the Bundesministerium f\"ur Bildung und Forschung, FRG, under contract numbers 05H09GUF, 05H09VHC, 05H09VHF, 05H16PEA \\ $ ^b$ Supported by the UK Science and Technology Facilities Council, and formerly by the UK Particle Physics and Astronomy Research Council \\ $ ^c$ Supported by FNRS-FWO-Vlaanderen, IISN-IIKW and IWT and by Interuniversity Attraction Poles Programme, Belgian Science Policy \\ $ ^d$ Partially Supported by Polish Ministry of Science and Higher Education, grant DPN/N168/DESY/2009 \\ $ ^e$ Supported by the Ministry of Education of the Czech Republic under the project INGO-LG14033 \\ $ ^f$ Supported by the Swiss National Science Foundation \\ $ ^g$ Supported by CONACYT, M\'exico, grant 48778-F \\ $ ^h$ Russian Foundation for Basic Research (RFBR), grant no 1329.2008.2 and Rosatom \\ $ ^i$ Supported by the Romanian National Authority for Scientific Research under the contract PN 09370101 \\ $ ^j$ Partially Supported by Ministry of Science of Montenegro, no. 05-1/3-3352 \\ $ ^k$ Russian Foundation for Sciences, project no 14-50-00150 \\ $ ^l$ Ministery of Education and Science of Russian Federation contract no 02.A03.21.0003 \\ } \end{flushleft} % % Please not that the author list may need re-formatting. \clearpage %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% %% Describe the erratum %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% The measurement of absolute and normalised inclusive jet and dijet cross sections by the H1 collaboration~\cite{H1_jets} were compared to next-to-next-to-leading order QCD predictions by the NNLOJET program~\cite{NNLOJET}. An implementation error of specific integrated initial-final antenna functions that has impact on the numerical predictions for jet production cross sections in DIS was found in this numeric calculation~\cite{NNLO,NNLO17}. The data, the next-to-leading (NLO) and approximate next-to-next-to-leading order (aNNLO) predictions remain unchanged, as well as figures for three-jet cross sections and the results on the strong coupling constant $\asmz$, which are based on NLO predictions. In this erratum, we provide corrected figures for the comparison of inclusive jet and dijet cross section data, both for absolute and normalised jet cross sections. The changes to the NNLO predictions are overall small, such that differences are only visible in figures of cross section ratios. The calculated values for $\chi^2/\ndf$ are corrected in table~\ref{tab:chisq}. The discussion is corrected accordingly. \setcounter{section}{7} \section{Cross section measurements} The differential cross sections are presented for absolute and normalised inclusive jet, dijet and trijet production at hadron level in Ref.~\cite{H1_jets}. The agreement of the various predictions with the data is judged by calculating values of $\chi^2/\ndf$~\cite{H1Multijets}. Here \ndf\ is the number of data points in the calculation. The values of $\chisq/\ndf$ for the absolute and the normalised jet cross sections are listed in table~\ref{tab:chisq}. All calculations provide a reasonable value of $\chisq/\ndf$, taking into account the fact that uncertainties on the theory predictions, such as scale variations or the PDF uncertainties, are not included. \setcounter{table}{2} \begin{table}[hbp!] \footnotesize \begin{center} \begin{tabular}{lccccccc} \hline \hline & ~~\ndf~~ &\multicolumn{6}{c}{Value of $\chi^2/\ndf$} \\ & & NLO & aNNLO & NNLO & NLO & aNNLO & NNLO \\ \hline &&\multicolumn{3}{c} {Absolute jet cross sections} & \multicolumn{3}{c} {Normalised jet cross sections} \\ Inclusive jet at low-\Qsq & 48 &1.7&2.1&0.7&1.9&1.6&1.0\\ % ERRATA 2020 Inclusive jet at low- and high-\Qsq & 78 &1.7&2.0&1.1&1.9&2.2&1.5\\ % ERRATA 2020 Dijet at low-\Qsq & 48 &1.4&1.9&0.4&1.6&1.7&0.6\\ % ERRATA 2020 Trijet at low-\Qsq & 32 &0.6& & &0.6& & \\ \hline \hline \end{tabular} \caption{Summary of values of $\chi^2/n_{\rm dof}$ for absolute and normalised jet cross sections for the NLO, aNNLO and NNLO predictions, whenever those are available. } \label{tab:chisq} \end{center} \end{table} \setcounter{section}{8} \setcounter{subsection}{1} \subsection{Inclusive jet cross section} The measured double-differential inclusive jet cross sections as function of \ptjet\ and \Qsq\ for low and high values of \Qsq\ are compared to different theoretical predictions in figure~\ref{figInclJet}. Ratios of the data and of the predictions in aNNLO and full NNLO to the NLO predictions are provided in figure~\ref{figInclJetRatio}. \begin{boldmath} \subsubsection{Inclusive jet cross sections at low-$\Qsq$ ($\Qsq<80\,\GeVsq$)} \end{boldmath} The conclusions drawn on the agreement between the NNLO predictions and the data remain largely unchanged with respect to Ref.~\cite{H1_jets}. The NNLO predictions give a good description of the \ptjet-distributions following the excellent value of $\chisq/\ndf$ (table~\ref{tab:chisq}). The NNLO corrections to the cross section predictions, which are defined as ratios of NNLO to NLO predictions and are displayed in figure~\ref{figInclJetRatio}, are particularly large at low values of \ptjet\ or at low values of \Qsq, equivalent to low values of the renormalisation and factorisation scales \mur\ and \muf. The NNLO predictions themselves have significantly smaller scale uncertainties than the NLO predictions. At low values of \ptjet\ and small \Qsq, where the data are most precise, the uncertainties from scale variations of all predictions, however, are significantly larger than the experimental uncertainties. At higher values of \ptjet\ the relative theoretical uncertainties are becoming smaller, but the data uncertainties, both statistical and systematic, increase and overshoot the uncertainties from scale variations. % [...] %The central values of the NLO and the aNNLO predictions are lower than the data in most bins, while the NNLO predictions %have a tendency to lie above the data. {\color{green} We think, this is still true!} % [...] %The NNLO predictions give a good description of the \ptjet-distributions %explaining the excellent value of $\chisq/\ndf$ % (table~\ref{tab:chisq}).{\color{blue} Yes. that's still true!} % [...] %The NNLO corrections to the cross section predictions, which are defined as %ratios of NNLO to NLO predictions and are displayed in figure~\ref{figInclJetRatio}, %are particularly large at low values of \ptjet\ or at low values of \Qsq, equivalent to low values of %the renormalisation and factorisation scales \mur\ and \muf. {\color{blue} Yes. that's still true!} % The NNLO predictions themselves have significantly smaller scale uncertainties than the NLO predictions{\color{red}\sout{, % in particular at high values of the renormalisation % scale}}. % % {\color{red} Not quite: also at low-\ptjet\ the scale % % uncertainties are now reduced significantly.} % % At low{\color{red}\sout{er}} values of \ptjet\ {\color{blue}and small \Qsq}, % where the data are most precise, the uncertainties from scale % variations of all predictions, however, are significantly larger than the % experimental uncertainties. % % {\color{red} not quite: at medium Q2, already the NNLO scale % % uncertainties are competitive with data uncertainties.} %At higher values of \ptjet\ the relative theoretical uncertainties are becoming smaller, %but the data uncertainties, both statistical and systematic, increase and overshoot the uncertainties from scale variations. %-------------------------------------------------------------------- \begin{boldmath} \subsubsection{Measurement of inclusive jets at high-$\Qsq$ ($\Qsq>150\,\GeVsq$)} \end{boldmath} The phase space of additional inclusive jet cross sections at high values of \Qsq\ is extended to the region $\ptjet<7\,\GeV$ by adding an extra bin at low \ptjet~\cite{H1_jets}. These additional cross section points as a function of \Qsq\ for inclusive jet production in the range $5<\ptjet<7\,\GeV$ are shown in figures~\ref{figInclJet} and ~\ref{figInclJetRatio}. The low-\ptjet\ inclusive jet cross sections at high-\Qsq are underestimated by the NLO and aNNLO predictions, while the NNLO predictions give a good description of these data points. In the high-\Qsq domain the NNLO predictions have significantly smaller scale uncertainties than the NLO calculations, and the NNLO scale uncertainties typically are smaller than the experimental uncertainties. Figure~\ref{figInclJetRatio} and the values of $\chisq/\ndf$ in table~\ref{tab:chisq} indicate that the aNNLO predictions have difficulties describing the previously published high-\Qsq\ inclusive jet data \cite{H1Multijets} accurately. The NNLO predictions provide a good description of both, the low- and high-\Qsq\ inclusive jet data. %[...] %The new low-\ptjet\ inclusive jet cross sections at high-\Qsq are underestimated by the %NLO and aNNLO predictions, while the NNLO predictions give a good %description of these new data points. {\color{blue} Yes. that's still true!} % %[...] %In the high-\Qsq domain %the NNLO predictions have significantly smaller scale uncertainties %than the NLO calculations, and the NNLO scale uncertainties typically %are smaller than the experimental uncertainties. {\color{blue} % Yes. that's even more true now!} % Figure ~\ref{figInclJetRatio} and % the values of $\chisq/\ndf$ in table~\ref{tab:chisq} indicate that the aNNLO {\color{red}\sout{and NNLO}} predictions % have difficulties describing the previously published % high-\Qsq\ inclusive jet data \cite{H1Multijets} accurately. % {\color{blue}The NNLO predictions provide a good % description of both, the low- and high-\Qsq\ inclusive jet data}. % % {\color{red} % % No. that's not true. NNLO provides a good description!} % \subsection{Normalised inclusive jet cross section} \label{sec:NormIjets} %% NC DIS In order to obtain the normalised jet cross sections, cross sections for inclusive NC DIS are measured for $0.2