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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}
\tikzstyle{every picture}+=[remember picture]
 
{
\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}
	        
	\end{columns}
\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}
 
\end{column}
\begin{column}{0.53\textwidth}
\includegraphics[height=1.3cm]{uzh-transp}
\end{column}
\end{columns}
 
\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}
 
 
 
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\end{document}