%================================================================ % 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{epsfig} \usepackage{amsmath} \usepackage{hhline} \usepackage{amssymb} \usepackage{times} \usepackage{cite} \usepackage{rotating} \usepackage{dcolumn} % package for producing 'publication quality tables' \usepackage{booktabs} \usepackage{multicol} \usepackage{tabularx} %%%%%%%%%%%% Comment the next two lines to remove the line numbering %\usepackage[]{lineno} %\linenumbers %%%%%%%%%%%% \renewcommand{\topfraction}{1.0} \renewcommand{\bottomfraction}{1.0} \renewcommand{\textfraction}{0.0} \newlength{\dinwidth} \newlength{\dinmargin} \setlength{\dinwidth}{21.0cm} \textheight24.5cm \textwidth16.0cm 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0.55ex\hbox{$\scriptstyle >$}\,} \def\lsim{\,\lower.25ex\hbox{$\scriptstyle\sim$}\kern-1.30ex% \raise 0.55ex\hbox{$\scriptstyle <$}\,} \newcommand{\gap}{\stackrel{>}{\sim}} \newcommand{\lap}{\stackrel{<}{\sim}} \newcommand{\fem}{$F_2^{em}$} \newcommand{\tsnmp}{$\tilde{\sigma}_{NC}(e^{\mp})$} \newcommand{\tsnm}{$\tilde{\sigma}_{NC}(e^-)$} \newcommand{\tsnp}{$\tilde{\sigma}_{NC}(e^+)$} \newcommand{\st}{$\star$} \newcommand{\sst}{$\star \star$} \newcommand{\ssst}{$\star \star \star$} \newcommand{\sssst}{$\star \star \star \star$} \newcommand{\tw}{\theta_W} \newcommand{\sw}{\sin{\theta_W}} \newcommand{\cw}{\cos{\theta_W}} \newcommand{\sww}{\sin^2{\theta_W}} \newcommand{\cww}{\cos^2{\theta_W}} \newcommand{\trm}{m_{\perp}} \newcommand{\trp}{p_{\perp}} \newcommand{\trmm}{m_{\perp}^2} \newcommand{\trpp}{p_{\perp}^2} \newcommand{\alp}{\alpha_s} \newcommand{\alps}{\alpha_s} \newcommand{\sqrts}{$\sqrt{s}$} \newcommand{\LO}{$O(\alpha_s^0)$} \newcommand{\Oa}{$O(\alpha_s)$} \newcommand{\Oaa}{$O(\alpha_s^2)$} \newcommand{\PT}{p_{\perp}} \newcommand{\pt}{p_{T}} \newcommand{\JPSI}{J/\psi} \newcommand{\sh}{\hat{s}} %\newcommand{\th}{\hat{t}} \newcommand{\uh}{\hat{u}} \newcommand{\MP}{m_{J/\psi}} %\newcommand{\PO}{\mbox{l}\!\mbox{P}} \newcommand{\PO}{I\!\!P} \newcommand{\xbj}{x} \newcommand{\xpom}{x_{\PO}} \newcommand{\ttbs}{\char'134} \newcommand{\xpomlo}{3\times10^{-4}} \newcommand{\xpomup}{0.05} \newcommand{\dgr}{^\circ} \newcommand{\pbarnt}{\,\mbox{{\rm pb$^{-1}$}}} \newcommand{\gev}{\,\mbox{GeV}} \newcommand{\WBoson}{\mbox{$W$}} \newcommand{\fbarn}{\,\mbox{{\rm fb}}} \newcommand{\fbarnt}{\,\mbox{{\rm fb$^{-1}$}}} \newcommand{\dsdx}[1]{$d\sigma\!/\!d #1\,$} \newcommand{\eV}{\mbox{e\hspace{-0.08em}V}} \newcommand{\shat}{\ensuremath{\hat{s}}} \newcommand{\rb}[1]{\raisebox{1.5ex}[-1.5ex]{#1}} % % Some useful tex commands % \newcommand{\qsq}{\ensuremath{Q^2} } \newcommand{\gevsq}{\ensuremath{{\rm GeV}^2} } \newcommand{\et}{\ensuremath{E_t^*} } \newcommand{\rap}{\ensuremath{\eta^*} } \newcommand{\gp}{\ensuremath{\gamma^*}p } \newcommand{\dsiget}{\ensuremath{{\rm d}\sigma_{ep}/{\rm d}E_t^*} } \newcommand{\dsigrap}{\ensuremath{{\rm d}\sigma_{ep}/{\rm d}\eta^*} } %%% Dstar stuff \newcommand{\dstar}{\ensuremath{D^*}} \newcommand{\dstarp}{\ensuremath{D^{*+}}} \newcommand{\dstarm}{\ensuremath{D^{*-}}} \newcommand{\dstarpm}{\ensuremath{D^{*\pm}}} \newcommand{\zDs}{\ensuremath{z(\dstar )}} \newcommand{\Wgp}{\ensuremath{W_{\gamma p}}} \newcommand{\ptds}{\ensuremath{p_t(\dstar )}} \newcommand{\etads}{\ensuremath{\eta(\dstar )}} \newcommand{\ptj}{\ensuremath{p_t(\mbox{jet})}} \newcommand{\ptjn}[1]{\ensuremath{p_t(\mbox{jet$_{#1}$})}} \newcommand{\etaj}{\ensuremath{\eta(\mbox{jet})}} \newcommand{\DM}{\ensuremath{\Delta m}} \newcommand{\detadsj}{\ensuremath{\eta(\dstar )\, \mbox{-}\, \etaj}} \newcommand{\ftwocc}{\ensuremath{F_2^{c\bar{c}}}} \newcommand{\rnorm}{\ensuremath{R^{\rm norm}}} \newcommand{\lesim}{\mbox{$\;\raisebox{-1mm}{$\stackrel{\scriptstyle<} {\scriptstyle\sim}$}\;$}} \newcommand{\gesim}{\mbox{$\;\raisebox{-1mm}{$\stackrel{\scriptstyle>} {\scriptstyle\sim}$}\;$}} \newcommand{\matrixA}{\ensuremath{\textbf{A}}} \newcolumntype{d}{D{.}{.}{-1}} \newcolumntype{-}{D{d}{d}{1}} \newcolumntype{e}{D{e}{10^}{3}} % Journal macro \def\Journal#1#2#3#4{{#1} {\bf #2} (#3) #4} \def\NCA{Nuovo Cimento} \def\NIM{Nucl. Instrum. Methods} \def\NIMA{{Nucl. Instrum. Methods} {\bf A}} \def\NPB{{Nucl. Phys.} {\bf B}} \def\PLB{{Phys. Lett.} {\bf B}} \def\PRL{Phys. Rev. Lett.~} \def\PRD{{Phys. Rev.} {\bf D}} \def\ZPC{{Z. Phys.} {\bf C}} \def\EJC{{Eur. Phys. J.} {\bf C}} \def\EPJC{{Eur. Phys. J.} {\bf C}} \def\CPC{Comp. Phys. Commun.~} % private Stuff % \newcolumntype{L}{>{\large}l} \begin{titlepage} \noindent \begin{flushleft} {\tt DESY 11-066 \hfill ISSN 0418-9833} \\ \end{flushleft} \noindent \vspace{2cm} \begin{center} \begin{Large} Erratum to \\ {\bf Measurement of \boldmath ${ D^{*\pm}}$ Meson Production and Determination of \ftwocc\ at low ${Q^2}$ in Deep-Inelastic Scattering at HERA } \\ Eur. Phys.J.C71 (2011) 1769 \vspace{2cm} H1 Collaboration \end{Large} \end{center} \vspace{2cm} \vspace{1.5cm} \begin{center} Submitted to \EJC \end{center} \end{titlepage} % THE PAPER DRAFTS HAVE NO AUTHORLIST % % FOR PAPER ISSUED FOR THE FINAL READING % COPY THE AUTHOR AND INSTITUTE LISTS % INTO YOUR AREA % % from /h1/iww/ipublications/h1auts.tex % AND UNCOMMENT THE NEXT THREE LINES % %\begin{flushleft} % \input{h1auts} %\end{flushleft} % % Please note that the author list may need re-formatting. \newpage %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% In the extraction of the charm contribution \ftwocc\ to the proton structure function $F_2$ in our recent publication~\cite{dstarpaper}, we have not properly taken into account the running of the electromagnetic coupling $\alpha_{\rm em}$. The measured cross sections were corrected to the Born level for QED radiation, but not for the running of $\alpha_{\rm em}$. This was not taken properly into account in the extraction of \ftwocc. In addition, the cross section predictions of the CASCADE program were calculated with fixed $\alpha_{\rm em}$. The cross section in the visible range calculated with running $\alpha_{\rm em}$ is $5.63~{\rm nb}$ (instead of $5.09~{\rm nb}$ given in~\cite{dstarpaper}). The conclusions on the description of the data by CASCADE are unchanged. The extrapolation factors, defined as the ratio of the full cross section $\sigma_{\rm{full}}^{\rm{theo}}$ to the cross section $\sigma_{\rm{vis}}^{\rm{theo}}$ in the visible phase space of the \dstar\ meson, and their uncertainties are changed slightly. The amended values are shown in figure~\ref{factors} which replaces figure~15 of~\cite{dstarpaper}. The amended values of \ftwocc\ %determined from data extracted from measured ${ D^{*\pm}}$ cross sections with the HVQDIS program and with the CASCADE program are lower by about $6$ upto $11\%$ as compared to~\cite{dstarpaper}. The corrected values of \ftwocc\ and its uncertainties are given in table~\ref{Tab_f2cc} which replaces table~11 of~\cite{dstarpaper}. The amended \ftwocc\ values are compared to a measurement based on lifetime information determined with the H1 silicon vertex detector~\cite{h1vertex09} and with theoretical predictions in figures~\ref{f2cc_hvqdis},~\ref{f2cc_pdfs} and~\ref{f2cc_scaling}, which replace figures 16, 17 and 18 of~\cite{dstarpaper}, respectively. \begin{thebibliography}{10} \bibitem{dstarpaper} F.~D.~Aaron {\it et al.} [H1 Collaboration], %``Measurement of D^{*\pm} Meson Production and Determination of F_2^{ccbar} %at low Q2 in Deep-Inelastic Scattering at HERA,'' \EPJC {\bf 71} (2011) 1769 [arXiv:1106.1028]. %%CITATION = EPHJA,C71,1769;%% \bibitem{h1vertex09} F.D.~Aaron {\it et~al.} [H1 Collaboration], %``Measurement of the Charm and Beauty Structure Functions using the H1 Vertex Detector at HERA,'' \EPJC {\bf 65} (2010) 89 [arXiv:0907.2643]. %%CITATION = EPHJA,C65,89;%% \end{thebibliography} \renewcommand{\arraystretch}{1.22} \begin{table}[htbp] \begin{center} {\scriptsize \begin{tabular}{|d|c|d l|d|l||d l|} \hline \multicolumn{1}{| c |}{$$} & \multicolumn{1}{ c |}{$$} & \multicolumn{2}{ c |}{HVQDIS} & \multicolumn{1}{ c |}{$$} & \multicolumn{1}{ c ||}{$$} & \multicolumn{2}{ c |}{CASCADE} \\ \multicolumn{1}{| c |}{\rb{$Q^2\ [{\rm GeV}^2]$}} & \multicolumn{1}{ c |}{\rb{$x$}} & \multicolumn{1}{ c }{\ftwocc} & \multicolumn{1}{ c |}{$\delta_{ext}\ [\%]$} & \multicolumn{1}{ c |}{\rb{$\delta_{stat}\ [\%]$}} & \multicolumn{1}{ c ||}{\rb{$\delta_{syst}\ [\%]$}} & \multicolumn{1}{ c }{\ftwocc} & \multicolumn{1}{ c |}{$\delta_{ext}\ [\%]$} \\ \hline % \input{F2cc.amended.all.txt} % Q2 [GeV] Bjorken x F2cc HVQDIS HVQDIS unc. stat.err data sys. err F2cc Cascade Cascade unc. 6.5 & $1.3\cdot 10^{-4}$ & 0.2036 & $ \pm _{8.7} ^{8.5} $ & \pm 6.7 & $ \pm ^{8.1} _{7.6} $ & 0.1750 & $ \pm _{13.9} ^{13.1} $ \\ 6.5 & $3.2\cdot 10^{-4}$ & 0.1497 & $ \pm _{3.2} ^{4.3} $ & \pm 5.5 & $ \pm ^{8.1} _{7.6} $ & 0.1364 & $ \pm _{8.3 } ^{7.5 } $ \\ 6.5 & $5.0\cdot 10^{-4}$ & 0.1446 & $ \pm _{4.5} ^{4.2} $ & \pm 5.4 & $ \pm ^{7.2} _{7.2} $ & 0.1305 & $ \pm _{7.3 } ^{7.2 } $ \\ 6.5 & $8.0\cdot 10^{-4}$ & 0.0979 & $ \pm _{3.4} ^{5.7} $ & \pm 8.1 & $ \pm ^{7.4} _{7.0} $ & 0.0925 & $ \pm _{5.2 } ^{4.8 } $ \\ 6.5 & $2.0\cdot 10^{-3}$ & 0.0698 & $ \pm _{7.2} ^{10.8}$ & \pm 8.6 & $ \pm ^{9.8} _{10.5} $ & 0.0812 & $ \pm _{3.1 } ^{2.4 } $ \\[0.2cm] 12.0 & $3.2\cdot 10^{-4}$ & 0.2711 & $ \pm _{5.6} ^{8.7} $ & \pm 7.7 & $ \pm ^{7.9} _{7.6} $ & 0.2368 & $ \pm _{10.5} ^{10.0} $ \\ 12.0 & $5.0\cdot 10^{-4}$ & 0.2009 & $ \pm _{2.9} ^{3.1} $ & \pm 6.6 & $ \pm ^{7.2} _{7.0} $ & 0.1799 & $ \pm _{4.6 } ^{4.7 } $ \\ 12.0 & $8.0\cdot 10^{-4}$ & 0.1605 & $ \pm _{2.3} ^{4.6} $ & \pm 7.8 & $ \pm ^{7.3} _{7.4} $ & 0.1462 & $ \pm _{4.0 } ^{3.7 } $ \\ 12.0 & $2.0\cdot 10^{-3}$ & 0.1149 & $ \pm _{3.5} ^{6.1} $ & \pm 8.9 & $ \pm ^{7.6} _{7.8} $ & 0.1093 & $ \pm _{2.1 } ^{2.2 } $ \\ 12.0 & $3.2\cdot 10^{-3}$ & 0.0732 & $ \pm _{7.4} ^{11.6}$ & \pm 12.0& $ \pm ^{9.3} _{10.2} $ & 0.0890 & $ \pm _{5.5 } ^{2.4 } $ \\[0.2cm] 20.0 & $5.0\cdot 10^{-4}$ & 0.3019 & $ \pm _{5.0} ^{4.6} $ & \pm 8.8 & $ \pm ^{9.0} _{8.7} $ & 0.2664 & $ \pm _{7.0 } ^{6.9 } $ \\ 20.0 & $8.0\cdot 10^{-4}$ & 0.2730 & $ \pm _{2.1} ^{3.8} $ & \pm 6.1 & $ \pm ^{7.1} _{7.4} $ & 0.2538 & $ \pm _{3.7 } ^{3.4 } $ \\ 20.0 & $1.3\cdot 10^{-3}$ & 0.2007 & $ \pm _{2.9} ^{4.0} $ & \pm 8.0 & $ \pm ^{8.4} _{8.1} $ & 0.1908 & $ \pm _{1.8 } ^{1.5 } $ \\ 20.0 & $3.2\cdot 10^{-3}$ & 0.1283 & $ \pm _{3.5} ^{5.3} $ & \pm 9.3 & $ \pm ^{7.0} _{7.5} $ & 0.1261 & $ \pm _{1.7 } ^{1.7 } $ \\ 20.0 & $5.0\cdot 10^{-3}$ & 0.0970 & $ \pm _{6.0} ^{13.6}$ & \pm 12.5& $ \pm ^{11.7}_{11.1} $ & 0.1214 & $ \pm _{3.2 } ^{2.9 } $ \\[0.2cm] 35.0 & $8.0\cdot 10^{-4}$ & 0.3690 & $ \pm _{3.0} ^{3.6} $ & \pm 8.3 & $ \pm ^{8.2} _{8.0} $ & 0.3247 & $ \pm _{5.0 } ^{5.0 } $ \\ 35.0 & $1.3\cdot 10^{-3}$ & 0.2993 & $ \pm _{2.4} ^{2.8} $ & \pm 6.7 & $ \pm ^{7.0} _{7.3} $ & 0.2735 & $ \pm _{2.8 } ^{2.5 } $ \\ 35.0 & $3.2\cdot 10^{-3}$ & 0.1894 & $ \pm _{2.4} ^{3.7} $ & \pm 8.5 & $ \pm ^{7.7} _{7.6} $ & 0.1767 & $ \pm _{2.3 } ^{2.1 } $ \\ 35.0 & $5.0\cdot 10^{-3}$ & 0.1516 & $ \pm _{2.7} ^{4.2} $ & \pm 9.9 & $ \pm ^{8.4} _{8.6} $ & 0.1445 & $ \pm _{1.3 } ^{1.2 } $ \\ 35.0 & $8.0\cdot 10^{-3}$ & 0.0799 & $ \pm _{6.5} ^{11.2}$ & \pm 14.9& $ \pm ^{11.8}_{10.5} $ & 0.1046 & $ \pm _{3.6 } ^{4.1 } $ \\[0.2cm] 60.0 & $1.3\cdot 10^{-3}$ & 0.3659 & $ \pm _{1.5} ^{2.8} $ & \pm 11.3& $ \pm ^{8.2} _{8.2} $ & 0.3227 & $ \pm _{2.4 } ^{2.4 } $ \\ 60.0 & $3.2\cdot 10^{-3}$ & 0.2843 & $ \pm _{1.3} ^{3.4} $ & \pm 9.5 & $ \pm ^{8.1} _{7.7} $ & 0.2613 & $ \pm _{1.8 } ^{1.9 } $ \\ 60.0 & $5.0\cdot 10^{-3}$ & 0.1748 & $ \pm _{2.6} ^{3.5} $ & \pm 13.2& $ \pm ^{8.2} _{7.7} $ & 0.1551 & $ \pm _{1.6 } ^{1.7 } $ \\ 60.0 & $8.0\cdot 10^{-3}$ & 0.1326 & $ \pm _{1.4} ^{5.5} $ & \pm 17.9& $ \pm ^{7.9} _{8.0} $ & 0.1259 & $ \pm _{2.3 } ^{2.4 } $ \\ 60.0 & $2.0\cdot 10^{-2}$ & 0.0484 & $ \pm _{6.8} ^{10.9}$ & \pm 56.4& $ \pm ^{10.3}_{13.2} $ & 0.0687 & $ \pm _{6.7 } ^{6.5 } $ \\ \hline \end{tabular} } \end{center} \caption{\ftwocc\ in bins of $Q^2$ and $x$ extracted from measured \dstar\ cross sections with two different programs, HVQDIS and CASCADE. The extrapolation uncertainty $\delta_{ext}$ is determined by varying model parameters within a program. The statistical ($\delta_{stat}$) and systematic ($\delta_{syst}$) uncertainties arise from the determination of the \dstar\ cross section and are the same for both programs.} \label{Tab_f2cc} \end{table} \clearpage %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% %Figures \begin{figure}[htbp] \begin{center} \includegraphics[width=12cm, angle=0]{d11-066.erratumf1.eps} \end{center} \caption{Extrapolation factors from the visible phase space to the total phase space for the \dstar\ meson as determined from HVQDIS and CASCADE. The error bars show the extrapolation uncertainty which is determined by varying the theory parameters listed in tables~1 and 2 of~\cite{dstarpaper}.} \label{factors} \end{figure} %%%% %%%% \begin{figure}[htbp] \begin{center} \includegraphics[width=12cm, angle=0]{d11-066.erratumf2.eps} \end{center} \caption{\ftwocc\ as derived from \dstar\ data with HVQDIS (points). The inner error bars show the statistical uncertainty, the outer error bar the statistical and experimental systematic uncertainty added in quadrature. The extrapolation uncertainty within the HVQDIS model is shown as blue band in the bottom of the plots. The outer (orange) band shows the model uncertainty obtained from the difference in \ftwocc\ determined with HVQDIS and CASCADE. The data are compared to the measurement of \ftwocc\ with the H1 vertex detector~\cite{h1vertex09} (open squares), to NLO DGLAP predictions from HVQDIS with two different proton PDFs, and to the \ftwocc\ prediction of HERAPDF1.0.} \label{f2cc_hvqdis} \end{figure} %%%% %%%% \begin{figure}[htbp] \begin{center} \includegraphics[width=12cm, angle=0]{d11-066.erratumf3.eps} \end{center} \caption{\ftwocc\ as derived from \dstar\ data with HVQDIS (points). The inner error bars show the statistical uncertainty, the outer error bar the statistical and experimental systematic uncertainty added in quadrature. The extrapolation uncertainty within the HVQDIS model is shown as blue band in the bottom of the plots. The outer (orange) band shows the model uncertainty obtained from the difference in \ftwocc\ determined with HVQDIS and CASCADE. The data are compared to the measurement of \ftwocc\ with the H1 vertex detector~\cite{h1vertex09} (open squares) and to predictions from the global PDF fits CT10 (dashed line), MSTW08 at NNLO (dark dashed-dotted line), NNPDF2.1 (shaded band) and ABKM (light dashed-dotted line).} \label{f2cc_pdfs} \end{figure} %%%% %%%% \begin{figure}[htbp] \begin{center} \includegraphics[width=12cm,angle=0]{d11-066.erratumf4.eps} \end{center} \caption{\ftwocc\ as a function of $Q^2$ for different $x$, as derived from \dstar\ data with HVQDIS (points). The inner error bars show the statistical uncertainty, the outer error bar the total uncertainty, including statistical, experimental systematic, extrapolation and model uncertainty added in quadrature. The data are compared to the measurement of \ftwocc\ with the H1 vertex detector~\cite{h1vertex09} (open squares), to NLO DGLAP predictions from HVQDIS with two different proton PDFs, and to the \ftwocc\ prediction of HERAPDF1.0.} \label{f2cc_scaling} \end{figure} %%%% %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \end{document}