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root/cvsroot/UserCode/Vuko/Notes/WZCSA07/Response.tex
Revision: 1.5
Committed: Sat Jul 19 17:15:07 2008 UTC (16 years, 9 months ago) by vuko
Content type: application/x-tex
Branch: MAIN
CVS Tags: Summer08-FinalApproved, HEAD
Changes since 1.4: +23 -3 lines
Log Message:
adding dphi plots as backup plot and commenting out figure which is not in CVS

File Contents

# User Rev Content
1 vuko 1.1 \documentclass[12pt,a4paper]{report}
2     \usepackage{graphicx}
3     \usepackage{textcomp}
4     \usepackage{amsmath,amssymb}
5     \usepackage{color,multirow,rotating}
6    
7     \begin{document}
8    
9     \begin{itemize}
10     \item \textbf{Do you understand the factor 2 increase in background Z+jets in 2e1mu channel compare to 3mu channel?}\\
11     We are trying to fully understand the behaviour (trying to obtain an
12     event display but as we have to dig the chowder soup [26 Millions of
13     events] this can take time), but by asking that the 3 letpons are
14     isolated to each others solve the issue. The fake muon is indeed
15     within DeltaR of 0.1 around one of the two electrons making the Z at
16     generator level.
17    
18     \item \textbf{Why the PDF systematics are only considered for significance (should be the opposite)?}\\
19     The PDF systematics should indeed also be considered for the cross section measurement and we added
20 vuko 1.2 them to the list of uncertainties affecting the cross section. It affects it through the signal acceptance
21     which may vary for different PDF assumptions. PDF uncertainties are not relevant for the signal significance
22     we will quote one day on real data, but they are however relevant for the expected significance we quote
23     in this analysis. The estimated significance depends on the number of expected
24     signal events, which depend on the WZ cross section. The PDF uncertainties on the cross section have
25     been determined at the PTDR time by varying the PDF within the range allowed by the errors of the PDF
26 vuko 1.1 fit (to HERA data).
27    
28     \item \textbf{What are the PDF systematics for ZZ background? [mainly for 3mu channel]}\\
29     We are using the systematics derived in note AN-2006/055 which are 6.4\%.
30    
31     \item \textbf{Does the cross section used for signal include the gamma*?}\\
32 vuko 1.2 The response is complex: the signal simulated by Pythia does not include
33     the $\gamma^*$ but the k-factor which has been used to go from LO to
34     NLO has been computed via MCFM including $\gamma^*$ (NLO with $\gamma^*$ / LO with $\gamma^*$).
35 vuko 1.1
36     \item \textbf{Does reconstruction efficiency (Z) depend on pt(Z) ?}\\
37     Indeed a bit, so we have applied a k-factor dependant on pt(Z).
38    
39     \item \textbf{Are you sure to not have a double counting between $Zb\bar{b}$ background and $Z+jets$?}\\
40     Yes, please see the hypernews message:\\
41     $https://hypernews.cern.ch/HyperNews/CMS/get/alpgen/83/1.html$
42    
43     \item \textbf{Can you confirm that gamma* is included in Zbb and ZZ Monte Carlo and that cross section are correctly calculated?}\\
44     For $ZZ$, the production as been done with a m(gamma*) $>$ 12 GeV and for
45 beaucero 1.3 $Zb\bar{b}$ m(gamma*)$>$40 GeV. Please see the webpage:
46 vuko 1.1 $http://cmsdoc.cern.ch/\sim anikiten/cms\-higgs/sm\_cross\-sections.txt$ for
47     $ZZ$ and the CMSNote AN 2008/020 for $Zb\bar{b}$ background.
48    
49     \item \textbf{Can you confirm that gamma* is included in $Z+jets$ samples?}\\
50 beaucero 1.3 Yes the production has been done within: 40 GeV$<$M(z/gamma*)$<$200GeV
51 vuko 1.1 please see the note:IN 2007/031.
52    
53 beaucero 1.3 \item \textbf{Can you improve signal over background by adding a cut on MET?}\\
54 vuko 1.1 We have studied the possibility but we obtain a better significance by
55     applying a cut on transverse mass of W candidate ($>$50 GeV). In the
56     analysis we are now considering such cuts. The studies of the
57 vuko 1.5 different angle proposed have been also performed, see figures~\ref{fig:dphiWlMET_noWTM},
58     \ref{fig:metcos}, \ref{fig:metsin} and \ref{fig:sig_metcos}, but the transverse
59 vuko 1.4 mass remain the best variable.
60    
61 vuko 1.5
62     \begin{figure}[p]
63     \begin{center}
64     \scalebox{0.55}{\includegraphics{backupfigs/dphiWlMET_noWTM.eps}}
65     \caption{
66     Azimuthal angle between the MET and the lepton associated to the W-decay.
67     All selection cuts are applied, except the cut on $M_T^W$.
68     }
69     \label{fig:dphiWlMET_noWTM}
70     \scalebox{0.55}{\includegraphics{backupfigs/dphiWlMET.eps}}
71     \caption{
72     Azimuthal angle between the MET and the lepton associated to the W-decay.
73     All selection cuts are applied, including the cut on $M_T^W$.
74     }
75     \label{fig:dphiWlMET}
76     \end{center}
77     \end{figure}
78    
79    
80 vuko 1.4 \begin{figure}[!bp]
81     \begin{center}
82     \scalebox{0.6}{\includegraphics{backupfigs/metcos.eps}}
83     \caption{
84     Longitudinal component of the MET vector with respect to the direction of the
85     lepton associated to the W-decay.
86     }
87     \label{fig:metcos}
88     \end{center}
89     \end{figure}
90    
91 vuko 1.5
92 vuko 1.4 \begin{figure}[p]
93     \begin{center}
94     \scalebox{0.6}{\includegraphics{backupfigs/metsin.eps}}
95     \caption{
96     Transverse component of the MET vector with respect to the direction of the
97     lepton associated to the W-decay.
98     }
99 vuko 1.5 \label{fig:metsin}
100 vuko 1.4
101     \scalebox{0.6}{\includegraphics{backupfigs/sig_metsin.eps}}
102     \caption{
103     Signal significance as a function of a cut on the transverse component of the MET
104     vector with respect to the direction of the lepton associated to the W-decay.
105     }
106     \label{fig:sig_metsin}
107     \end{center}
108     \end{figure}
109    
110    
111 vuko 1.1
112 beaucero 1.3 \item \textbf{Produce Event yield table and mass plot with MET$>$20}\\
113 vuko 1.2 We have updated the note but with a transverse mass cut at 50 GeV.
114 vuko 1.1
115     \item \textbf{Redo all plots with 300pb$^{-1}$, produce event yields table with errors}\\
116     Done in the note
117    
118     \item \textbf{Please check the quality of the fit of figure 11?}\\
119     Done please see below [M(W)$>$50 GeV has been applied]
120     \begin{figure}[!bp]
121     \begin{center}
122     \scalebox{0.4}{\includegraphics{FitTight3eErrors.eps}}
123     \caption{The invariant mass distribution of the $Z$ boson candidate that is fitted to a signal
124     parameterized as a Gaussian function convoluted with a Breit-Wigner function and
125     a background, parameterized as a straight line.}
126     \label{fig:ZFit}
127     \end{center}
128     \end{figure}
129    
130    
131    
132     \item \textbf{Please developp the way systematics will be evaluated}\\
133 beaucero 1.3 We have added: (Bibliography is done in the note)\\
134 vuko 1.2 \begin{itemize}
135     \item {\it Trigger}: [...] From the current analysis of
136 beaucero 1.3 $Z\rightarrow l^+l^-$ in CMS~\cite{Zmumu}~\cite{Zee}, the number of Z
137 vuko 1.1 events is estimated of the order of 50k per 100pb$^{-1}$ of data
138     analysed. To determine the trigger efficiency ``tag-and-probe''
139 beaucero 1.3 method~\cite{TP} will be used.
140 vuko 1.2 \item {\it Reconstruction}: The
141 vuko 1.1 mismeasurement of the charge is of the order of 2\% in CMSSW\_1\_6\_7
142     release for electron. The estimation of the fraction with data will be
143     done by looking at the Z peak without opposite charge
144     requirement. Then number of events within the Z mass windows asking
145     for two leptons of same sign will give us a estimate of the fraction
146 vuko 1.2 of mismeasure sign leptons.
147 beaucero 1.3 \item {\it Lepton identification}:The leptons
148 vuko 1.1 scale will be established using the Z mass peak.
149 vuko 1.2 \item {\it PDF uncertainties}: see response about PDF's above
150     \end{itemize}
151 vuko 1.1
152     \item \textbf{Write a section on the pseudo-experiment and start the plot at 100pb$^-1$}\\
153     To estimate the amount of data necessary to claim an evidence or observation
154     of the WZ signal, we perform 200,000 pseudoexperiements for data for a given
155     value of data that is varied from 40 to 500 pb$^{-1}$. For each pseudoexperiment
156 vuko 1.2 we use Poisson statistics to estimate the expected number of events for
157 vuko 1.1 signal and for each background sources separately, for each signature channel.
158     The mean of the expected number of events is varied using Gaussian statistic
159     using systematic uncertainties given in Table~\ref{tab:FullSys}. The significance of the
160     signal in each pseudo-experiment is calculated using the likelihood ratio
161     \begin{equation}
162     \label{eq:sl}
163     S_L=\sqrt{2\ln Q},\ Q=\biggl( 1+\frac{N_S}{N_B}\biggr)^{N_S+N_B}e^{-N_S},
164     \end{equation}
165     where $N_S$ and $N_B$ are the expected number of signal and background
166     events observed in the four signatures of the analysis, respectively. By summing
167     signal and background together, we assume no correlation between the signature
168     channels, which result in a conservative estimation of the sensitivity reach.
169 vuko 1.2 The obtained $S_L$ distribution is fitted with Gaussian function to obtain the mean
170 vuko 1.1 and resolution width, which would correspond to the most probable value of $S_L$
171     and its uncertainty for a given value of integrated luminosity. The 68\% and 95\%
172     CL bands are $\pm 1\sigma$ and $\pm 1.96\sigma$ bands around the mean value
173     of the $S_L$ respectively. To estimate the effect of the systematic uncertainty in
174     this estimation, we double all the systematic uncertainties and re-calculate the
175     68\% and 95\% CL bands. The results for the sensitivity of the analysis without
176     requirements on the $W$ boson transverse mass are given in Fig.~\ref{fig:sl_full}.
177     5$\sigma$ significance of the WZ signal can be established with data size between
178     50 and 300 pb$^{-1}$ of integrated luminosity at 95\% CL.
179    
180     \end{itemize}
181    
182     \end{document}