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\author{ {M. Chrzaszcz, K. M\"{u}eller}, A. Weiden }
\institute{UZH}
\title[Low Mass Drell-Yan at 7,8 and 13 $\rm TeV$]{Low Mass Drell-Yan at 7,8 and 13 $\rm TeV$ }
\begin{document}
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{
\setbeamertemplate{sidebar right}{\llap{\includegraphics[width=\paperwidth,height=\paperheight]{bubble2}}}
\begin{frame}[c]%{\phantom{title page}}
\begin{center}
\begin{center}
\begin{columns}
\begin{column}{0.75\textwidth}
\flushright \bfseries \Huge {Low Mass Drell-Yan Status Report }
\end{column}
\begin{column}{0.02\textwidth}
{~}
\end{column}
\begin{column}{0.23\textwidth}
% \hspace*{-1.cm}
\vspace*{-3mm}
\includegraphics[width=0.6\textwidth]{lhcb-logo}
\end{column}
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\end{center}
\quad
\vspace{3em}
\begin{columns}
\begin{column}{0.44\textwidth}
\flushright \vspace{-1.8em} { \Large Marcin Chrzaszcz\\\vspace{-0.1em} Katharina M\"{u}eller\\\vspace{-0.1em} Andreas Weiden}
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\includegraphics[height=1.3cm]{uzh-transp}
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\vspace{1em}
% \footnotesize\textcolor{gray}{With N. Serra, B. Storaci\\Thanks to the theory support from M. Shaposhnikov, D. Gorbunov}\normalsize\\
\vspace{0.5em}
\textcolor{normal text.fg!50!Comment}{Analysis and Software Week, CERN\\February 1, 2017}
\end{center}
\end{frame}
}
\begin{frame}\frametitle{Introduction to Drell-Yan}
\begin{columns}
\column{2.5in}
\begin{itemize}
\item Drell-Yan are process of two quark anihilations in which neutral current couples to two leptons.
\item The cross section of this process depends on two components:
\begin{itemize}
\item Hard scattering process $\color{OrangeRed}{\Rrightarrow}$ NNLO pQCD.
\item Parton Distribution Function (PDF).
\end{itemize}
\item Measurement of the cross section have a high sensitivity to the PDF
\item Due to unique coverage $2<y<5$ LHCb probes the $Q^2-x$ region not covered by other experiments.
\end{itemize}
\column{2.5in}
\includegraphics[width=0.95\textwidth]{images/feynmanDiagram_DrellYan_wRad.png}\\
\includegraphics[width=0.85\textwidth]{images/Q2_x.png}
\end{columns}
\end{frame}
\begin{frame}\frametitle{Selection}
\begin{itemize}
\item Analysis based on 2011, 2012 data set. Now adding 2016.
\item Trigger:
\begin{itemize}
\item \texttt{L0\_L0DiMuonDecision},
\item \texttt{Hlt1DiMuonHighMassDecision},
\item \texttt{Hlt2DiMuonDY(3,4)Decision}
\end{itemize}
\item Stripping:
\begin{itemize}
\item \texttt{StrippingDY2MuMuLine(3,4)}
\end{itemize}
\item Selection:
\begin{itemize}
\item $2<\eta^{\mu}<4.5$,
\item $p^{\mu} > 10~\GeV$,
\item $p_T^{\mu} > 3~\GeV$,
\item $\chi^{2,\mu\mu}_{vtx}<5$,
\item $10< m(\mu\mu) < 120~\GeV$.
\end{itemize}
\end{itemize}
\end{frame}
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
\begin{frame}\frametitle{Isolation}
\begin{itemize}
\item Drell-Yan unfortunately do not peak in mass $\twoheadrightarrow$ need another variable to control the purity.
\item Instead we define an isolation variable:
\begin{align*}
\mu_{ {\rm{iso}}} = \log(p_T^{ cone}(\mu, 0.5) - p_T^{ cone}(\mu, 0.1))
\end{align*}
\item For two muons we take the maximum of the two isolations:
\begin{align*}
\mu\mu_{ {\rm{iso}}} = \max( \mu_{ {\rm{iso}}}^+, \mu_{ {\rm{iso}}}^-)
\end{align*}
\end{itemize}
\begin{center}
\begin{columns}
\column{0.5\textwidth}
\includegraphics[angle=-90,width=0.9\textwidth]{images/Z0_iso.pdf}
\column{0.5\textwidth}
\includegraphics[width=0.8\textwidth]{images/isolation.png}
\end{columns}
\end{center}
\end{frame}
\begin{frame}
\frametitle{Isolation as a function of mass}
Normalized log(isolation) in selected mass bins:
\begin{figure}
\includegraphics[angle=-90,width=.52\linewidth]{{images/full_isolation_mass_selected_MC_2012_Down}}
\includegraphics[angle=-90,width=.52\linewidth]{{images/full_isolation_mass_selected_Data_2012_Down}}
\end{figure}
Backgrounds smear the isolation in data, especially away from resonances ({\color{orange}orange}). In MC very small mass-dependency, which we need to study.
Even at $Z$ peak ({\color{SkyBlue} blue} and {\color{PineGreen}green}), isolation bulk wider in data than in MC.
\end{frame}
\begin{frame}
\frametitle{Explanation of variables}
\vspace{-1em}
\begin{figure}
\includegraphics[width=.8\linewidth]{images/bulk_variables.png}
\end{figure}
\[1 / \text{bulk fraction} = \frac{\int {\color{blue}isolated}}{\int {\color{red}bulk}}\]
\end{frame}
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
\begin{frame}{Mass dependency of bulk}
MC, 2012
\centering
\begin{figure}
\includegraphics[angle=-90,width=.52\linewidth]{images/MC_isolation_mass_bulk_fraction}
\includegraphics[angle=-90,width=.52\linewidth]{images/MC_isolation_mass_bulk_mean}
\end{figure}
Large mass-dependence of bulk fraction, but smaller mass-dependence of bulk mean.
Difference between {\color{orange}MagUp} and {\color{pink}MagDown} to be investigated.
\end{frame}
\begin{frame}
\frametitle{Effect of rapidity}
\framesubtitle{$Z$-peak}
Strong dependency of bulk fraction of rapidity.
\begin{figure}
\includegraphics[angle=-90,width=.7\linewidth]{images/Z_isolation_rapidity_bulk_fraction}
\end{figure}
1 / bulk fraction under-estimated in MC.
\end{frame}
\begin{frame}
\frametitle{Effect of rapidity}
\framesubtitle{$Z$-peak}
\begin{figure}
\includegraphics[angle=-90,width=.52\linewidth]{images/Z_isolation_rapidity_bulk_mean}
\includegraphics[angle=-90,width=.52\linewidth]{images/Z_isolation_rapidity_bulk_std}
\end{figure}
MC and data bulk mean and width agree at $Z$-peak. Data shows some dependency of bulk width for high $y$, MC not.
\end{frame}
\begin{frame}
\frametitle{Effect of rapidity}
\framesubtitle{Full mass-range}
\vspace{-0.4em}
\begin{figure}
\includegraphics[angle=-90,width=.7\linewidth]{images/full_rapidity_mass_selected_MC_2012_Down}
\end{figure}
Rapidity distribution is not the same for different mass-bins (different regions in $x$). Working on finding out if mass dependence is given by this (to be finished by next week).
\end{frame}
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
\begin{frame}\frametitle{Backgrounds}
\begin{itemize}
\item There are two sources of backgrounds:
\begin{itemize}
\item Heavy flavour decays.
\item Mis-ID.
\end{itemize}
\item For fitting the $\mu\mu_{iso}$ we need to know both the signal and background distribution.
\item Background templates can be determined from data
\begin{itemize}
\item Heavy flavour decays:\\
$\looparrowright$ Requiring the $\chi^{2,\mu\mu}_{vtx}>16$\\
$\looparrowright$ For cross-check $\rm IP>5~\rm mm$
\item Miss-ID:\\
$\looparrowright$ Require that both muons have the same sign.\\
$\looparrowright$ For cross-check take the minimum bias stripping line.
\end{itemize}
\end{itemize}
\end{frame}
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
\begin{frame}\frametitle{Cross section calculations}
\begin{itemize}
\item To calculate the cross section the luminosity will be used:
\end{itemize}
\begin{align*}
\sigma= \dfrac{ {\color{OliveGreen}{\varrho}} f^{{\rm MIG}}}{{\color{OliveGreen}{\mathcal{L}}} {\color{OliveGreen}{ \varepsilon^{{\rm SEL}}}}} \sum \dfrac{1}{\varepsilon^{{\rm TRIG}} \varepsilon^{{\rm MUID}} {\color{OliveGreen}{\varepsilon^{{\rm GEC}}}} \varepsilon^{{\rm TRACK}}},
\end{align*}
where\\
\begin{itemize}
\item $ {\color{OliveGreen}{\varrho}}$ signal fraction from the fit.
\item $f^{{\rm MIG}}$ correction to bin-bin migration.
\item $ {\color{OliveGreen}{\mathcal{L}}}$ integrated luminosity.
\item $ {\color{OliveGreen}{\varepsilon^{{\rm SEL}}}}$ efficiency on the vertex requirement.
\item $\varepsilon^{{\rm MUID}}$ muon identification efficiency.
\item $ {\color{OliveGreen}{\varepsilon^{{\rm GEC}}}}$ global event cut efficiency.
\item $\varepsilon^{{\rm TRACK}}$ tracking efficiency.
\end{itemize}
\end{frame}
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
\begin{frame}\frametitle{$ {\color{OliveGreen}{\varepsilon^{{\rm SEL}}}}$}
\ARROW Evaluated using MC sample:\\{~}\\
\begin{center}
\begin{tabular}{|c|c|}
\hline
$2011$ MagDown & $0.21320 \pm 0.00014$ \\
$2011$ MagUp & $0.21306 \pm 0.00014$ \\
$2012$ MagDown & $0.20402 \pm 0.00013$ \\
$2012$ MagUp & $0.20372 \pm 0.00013$ \\
\hline
\end{tabular}
\end{center}
\ARROW Good agreement between polarities!\\
\ARROW $2012$ efficiency is lower than the $2011$.\\
\ARROW Will merge the polarities:
\begin{center}
\begin{tabular}{|c|c|}
\hline
$2011$ & $0.21313 \pm 0.00010$ \\
$2012$ & $0.20387 \pm 0.00009$ \\
\hline
\end{tabular}
\end{center}
\end{frame}
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
\begin{frame}\frametitle{$ {\color{OliveGreen}{\varepsilon^{{\rm GEC}}}}$}
\ARROW Evaluated on data directly, by fitting the $\Gamma( {\rm SPDHits})$ to data:\\{~}\\
\begin{columns}
\column{0.1in}
{~}\\
\column{0.45\textwidth}
\ARROW $2011$ data:
\includegraphics[width=0.95\textwidth]{{images/spdhits_11_y_2_4.5_10500_60000}.png}
\column{0.45\textwidth}
\ARROW $2012$ data:
\includegraphics[width=0.95\textwidth]{{images/spdhits_12_y_2_4.5_10500_60000}.png}
\end{columns}
\end{frame}
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
\begin{frame}\frametitle{$ {\color{OliveGreen}{\varepsilon^{{\rm GEC}}}}$}
\ARROW Testing the $y - M_{\mu\mu}$ dependence:\\{~}\\
\begin{columns}
\column{0.1in}
{~}\\
\column{0.45\textwidth}
\ARROW $2011$ data\\ $y \in(2,2.25)$\\ $M_{\mu\mu} \in (10.5,12)~\GeV$ :
\includegraphics[width=0.95\textwidth]{{images/spdhits_11_y_2_2.25_10500_12000}.png}
\column{0.45\textwidth}
\ARROW $2012$ data\\ $y \in(2,2.25)$\\ $M_{\mu\mu} \in (10.5,12)~\GeV$ :
\includegraphics[width=0.95\textwidth]{{images/spdhits_12_y_2_2.25_10500_12000}.png}
\end{columns}
\ARROW We didn't observe a variation of the efficiency as a function of $M_{\mu\mu}$ and $y$.
\end{frame}
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
\begin{frame}\frametitle{$ {\color{OliveGreen}{\varepsilon^{{\rm GEC}}}}$}
\ARROW Proposed systematic:{~}\\
\begin{columns}
\column{0.1in}
{~}\\
\column{0.45\textwidth}
\ARROW $2011$ data:
\includegraphics[width=0.95\textwidth]{{images/eff11}.png}
\column{0.45\textwidth}
\ARROW $2012$ data:
\includegraphics[width=0.95\textwidth]{{images/eff12}.png}
\end{columns}
{~}\\
\ARROW Suggest the RMS as small systematic.
\end{frame}
\begin{frame}
\frametitle{Conclusions}
\begin{itemize}
\item MC isolation template describes data at $Z$-peak reasonably well
\item But some differences (mainly in $y$) exist, so have to take templates from data (MC can still serve as cross-check)
\item Templates show a mass-dependence in MC (especially bulk fraction)
\item Different mass-regions have different rapidity distributions
\item Needs to be determined if mass-dependence is driven by rapidity-dependence
\item 2016 MC requested
\end{itemize}
\end{frame}
\begin{frame}{Mass dependency of bulk}
MC vs data, 2012
\centering
\begin{figure}
\includegraphics[angle=-90,width=.52\linewidth]{images/full_isolation_mass_bulk_mean}
\includegraphics[angle=-90,width=.52\linewidth]{images/full_isolation_mass_bulk_std}
\end{figure}
Near the $Z$-peak and the $\Upsilon$-peak good agreement.
Small mass-dependency even in MC ($value\%$).
\end{frame}
\begin{frame}
\frametitle{Effect of multiplicity}
Isolation should, in general, be dependent on multiplicity. First, check if multiplicity is mass dependent.
\begin{figure}
\includegraphics[angle=-90,width=.52\linewidth]{images/full_nTracks_mass_selected_MC_2012_Down}
\includegraphics[angle=-90,width=.52\linewidth]{images/full_nSPD_mass_selected_MC_2012_Down}
\end{figure}
No mass dependency of multiplicity ($nTracks$ and $nSPD$) in MC
\end{frame}
\begin{frame}
\frametitle{Effect of multiplicity}
At $Z$-peak ($ 60 < M_{\mu\mu} < 120 GeV/c^2$)
Isolation not independent of $nTracks$:
\begin{figure}
\includegraphics[angle=-90,width=.52\linewidth]{images/Z_isolation_nTracks_bulk_mean}
\includegraphics[angle=-90,width=.52\linewidth]{images/Z_isolation_nTracks_bulk_std}
\end{figure}
In data, width and mean of bulk dependent on $nTracks$, in MC only mean.
\end{frame}
\begin{frame}
\frametitle{Effect of multiplicity}
At $Z$-peak ($ 60 < M_{\mu\mu} < 120 GeV/c^2$).
Bulk width not independent of $nSPD$:
\begin{figure}
\includegraphics[angle=-90,width=.52\linewidth]{Z_isolation_nSPD_bulk_mean}
\includegraphics[angle=-90,width=.52\linewidth]{Z_isolation_nSPD_bulk_std}
\end{figure}
Mean of bulk agrees in data and MC.
\end{frame}
\begin{frame}
\frametitle{Multiplicity reweighting}
{\color{orange}Data}, {\color{PineGreen}MC befor reweighting}, {\color{SkyBlue}MC after reweighting}
\begin{figure}
\includegraphics[angle=-90,width=.9\linewidth]{multiplicity_reweighting_md_MC}
\end{figure}
\end{frame}
\backupbegin
\begin{frame}\frametitle{Backup}
\topline
\end{frame}
\backupend
\end{document}
Marcin Chrzaszcz