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Revision 1.9 by vimartin, Sat Oct 20 19:57:24 2012 UTC

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2   \subsection{Single Lepton Top MC Modelling Validation from CR2}
3   \label{sec:cr2}
4  
5 IS THIS GOING TO BE DONE WITH A BVETO OR NOT.  IF SO, IS IT GOING TO
6 BE CSVL OR CSVM?  NEED TO DISCUSS THIS.
5  
6   The \mt\ tail for single-lepton top events (\ttsl\ and single top) is dominated by jet resolution effects. The \W\ cannot be far off-shell because $\mW < \mtop$.
7 < The modeling of the \mt\ tail from jet resolution effects is studied using \zjets\ data and MC samples.
8 < \Z\ events are selection by requiring 2 good leptons (satisfying ID and isolation requirements) and requiring the \mll\ to be in the range $81-101$ GeV.
9 < The negative lepton is treated as a neutrino and so is added to the MET: \met\ $\rightarrow$ \pt(\Lepm) + \met,
10 < and the \mt\ is recalculated with the positive lepton \mt(\Lepp, \met).
7 > The modeling of the \mt\ tail from jet resolution effects is studied
8 > using \zjets\ data and MC samples.
9 >
10 > \Z\ events are selected by requiring exactly 2 good leptons (satisfying ID
11 > and isolation requirements) and requiring the \mll\ to be in the range
12 > $81-101$ GeV.
13 > Events with additional isolated tracks are vetoed, as in Section~\ref{sec:tkveto}.
14 > To reduce \ttbar\ backgrounds, events with a CSVM tag %H
15 > are removed.
16 > The positive lepton is treated as a neutrino and so is added to the MET: \met\ $\rightarrow$ \pt(\Lepp) + \met,
17 > and the \mt\ is recalculated with the positive lepton \mt(\Lepm, \met).
18   The resulting ``pseudo-\mt'' is dominated by jet resolution effects, since no off-shell
19   \Z\ production enters the sample due to the \mll\ requirement.
20   This section describes how well the MC predicts the tail of ``pseudo-\mt''.
21  
22 < The underlying distributions are shown in Fig.~\ref{fig:cr2met}
23 < and~\ref{fig:cr2mtrest}.  The comparison of data and MC event counts
24 < is shown in Table~\ref{tab:cr2yields}.  From this table we extract
25 < the data to MC scale factors $SFR^{e}_{top}$ and  $SFR^{\mu}_{top}$.
22 > The underlying distributions are shown in Fig.~\ref{fig:cr2met}.
23 > %and~\ref{fig:cr2mtrest}.  
24 > We then perform the exact same type of Data/MC comparison and analysis as
25 > described for CR1 in Section~\ref{sec:cr1}.  For CR1 we collected
26 > the data/MC tail information in
27 > Table~\ref{tab:cr1yields} ; the equivalent for CR2 is
28 > Table~\ref{tab:cr2yields}. For CR2 the statistics are not sufficient.
29 > (for CR2 the statistics are not sufficient to split electrons and muons).
30 > The last line of Table~\ref{tab:cr2yields} gives the data/MC scale factor
31 > for the \ttbar\ lepton $+$ jets $M_T$ tail ($SFR_{top}$).  This is
32 > calculated in the same way as $SFR_{wjets}$ of Table~\ref{tab:cr1yields}.
33 > Just as in CR1, there is an excess of data in the tails, as reflected
34 > in the values of $SFR_{top}$. There are insufficient events to derive scale factors for
35 > $\met\ > 150$~GeV. As a result, the scale factors derived from CR2 are
36 > not used for the central prediction of the single-lepton top
37 > background. They serve as a valuable cross check of the predictions
38 > described in Section~\ref{sec:ttp}. The single lepton top predictions
39 > obtained for SRA and SRB using the $SFR_{top}$ values described here
40 > are consistent with the default predictions.
41  
42  
43   \begin{table}[!h]
44   \begin{center}
45 < \begin{tabular}{l||c|c||c|c|c|c}
45 > {\footnotesize
46 > \begin{tabular}{l||c|c||c|c}
47 > \hline
48 > Sample              & CR2PRESEL0 &CR2PRESEL1 & CR2A & CR2B \\
49 > \hline
50 > \hline
51 > MC                & $32 \pm 2$ & $28 \pm 2$ & $10 \pm 1$ & $10 \pm 1$ \\
52 > Data              & $50$ & $45$ & $17$ & $17$ \\
53 > \hline
54 > Data/MC           & $1.56 \pm 0.24$ & $1.63 \pm 0.27$ & $1.68 \pm 0.45$ & $1.74 \pm 0.48$ \\
55   \hline
27 Sample              & CR2PRESEL0 &CR2PRESEL1 & CR2A & CR2B & CR2C & CR2D \\
56   \hline
57   \hline
58 < DY MC             & $35 \pm 2$ & $30 \pm 2$ & $18 \pm 2$ & $32 \pm 3$ & $12 \pm 2$ & $5 \pm 1$ \\
59 < Data - non-DY MC          & $65 \pm 9$ & $50 \pm 8$ & $36 \pm 6$ & $49 \pm 7$ & $25 \pm 5$ & $14 \pm 4$ \\
58 > DY MC             & $25 \pm 2$ & $20 \pm 2$ & $5 \pm 1$ & $5 \pm 1$ \\
59 > DY Data           & $42 \pm 7$ & $38 \pm 7$ & $12 \pm 4$ & $12 \pm 4$ \\
60   \hline
61 < Data/MC SF        & $1.88 \pm 0.29$ & $1.68 \pm 0.30$ & $1.94 \pm 0.40$ & $1.54 \pm 0.29$ & $2.12 \pm 0.58$ & $2.96 \pm 1.22$ \\
61 > DY Data/MC        & $1.73 \pm 0.32$ & $1.85 \pm 0.37$ & $2.37 \pm 0.96$ & $2.58 \pm 1.16$ \\
62   \hline
63 < \end{tabular}
64 < \caption{ Yields in \mt\ tail comparing the MC prediction (after
65 <  applying SFs) to data. CR2PRESEL refers to a sample with $\met>50$
66 <  GeV and $\mt>150$ GeV.
67 <  The uncertainties are statistical only.  NEED TO ADD THE SYMBOLS
68 <  DEFINED IN THE TEXT FOR THESE SCALE FACTORS.  IS THIS GOING TO BE
69 <  DONE SEPARATELY FOR MUONS AND ELECTRONS???
63 > \hline
64 > \hline
65 > $SFR_{top}$       & $1.64 \pm 0.40$ & $1.74 \pm 0.46$ & $2.02 \pm 0.68$ & $2.16 \pm 0.75$ \\
66 > \hline
67 > \end{tabular}}
68 > \caption{ Yields in \mt\ tail comparing the \zjets\ MC prediction (after
69 >  applying SFs) to data without subtracting the non-\zjets\ components (top table) and with subtracting the non-\zjets\ components (bottom table).
70 >  CR2PRESEL refers to a sample with $\met>50$ GeV and $\mt>150$ GeV.
71   \label{tab:cr2yields}}
72   \end{center}
73   \end{table}
74  
75 + %\hline
76 + %$N_{1l-top}$ SF          & - & - & $172 \pm 58$ & $119 \pm 42$ \\
77 + %\hline
78 + %$N_{1l-top}$ Opt/Pess    & - & - & $256 \pm 131$ & $120 \pm  50$ \\
79 +
80 +
81   \begin{figure}[hbt]
82    \begin{center}
83 <        \includegraphics[width=0.5\linewidth]{plots/CR2plots/met_scaled_nj4_emucomb.pdf}%
84 <        \includegraphics[width=0.5\linewidth]{plots/CR2plots/met_lepcor_scaled_nj4_emucomb.pdf}
85 <        \includegraphics[width=0.5\linewidth]{plots/CR2plots/mt_lepcor_scaled_nj4_emucomb.pdf}%
86 <        \includegraphics[width=0.5\linewidth]{plots/CR2plots/mt_lepcor_scaled_met50_nj4_emucomb.pdf}
83 > %       \includegraphics[width=0.5\linewidth]{plots/CR2plots/met_scaled_nj4_emucomb.pdf}%
84 >        \includegraphics[width=0.5\linewidth]{plots/CR2plots/met_lepcor_scaled_nj4_emucomb.pdf}%
85 >        \includegraphics[width=0.5\linewidth]{plots/CR2plots/mt_lepcor_scaled_nj4_emucomb.pdf}
86 >        \includegraphics[width=0.5\linewidth]{plots/CR2plots/mt_lepcor_scaled_met50_nj4_emucomb.pdf}%
87 >        \includegraphics[width=0.5\linewidth]{plots/CR2plots/mt_lepcor_scaled_met100_nj4_emucomb.pdf}
88 >
89      \caption{
90 <      Comparison of the \met\ (top, left), pseudo-\met\ (top, right)
91 <      and pseudo-\mt\ (bottom) distributions in data vs. MC for events
90 >      Comparison of the pseudo-\met\ (top, left), pseudo-\mt\ (top,
91 >      right and bottom) distributions in data vs. MC for events
92        satisfying the requirements of CR2, combining both the muon and
93        electron channels. The pseudo-\mt\ distributions are shown
94 <      before any additional requirements (bottom, left) and after
95 <      requiring pseudo-\met>50 GeV (bottom, right).
94 >      before any additional requirements (top, right) and after
95 >      requiring pseudo-\met $>$50 GeV (bottom, left) and pseudo-\met
96 >      $>$ 100 GeV (bottom, right) .
97   \label{fig:cr2met}
98   }  
99        \end{center}
100   \end{figure}
101  
102 < \begin{figure}[hbt]
103 <  \begin{center}
104 <        \includegraphics[width=0.5\linewidth]{plots/CR2plots/mt_lepcor_scaled_met100_nj4_emucomb.pdf}%
105 <        \includegraphics[width=0.5\linewidth]{plots/CR2plots/mt_lepcor_scaled_met150_nj4_emucomb.pdf}
106 <        \includegraphics[width=0.5\linewidth]{plots/CR2plots/mt_lepcor_scaled_met200_nj4_emucomb.pdf}%
107 <        \includegraphics[width=0.5\linewidth]{plots/CR2plots/mt_lepcor_scaled_met250_nj4_emucomb.pdf}
108 <    \caption{
109 <      Comparison of the \mt\ distribution in data vs. MC for events
110 <      satisfying the requirements of CR2, combining both the muon and
111 <      electron channels. The pseudo-\met\ requirements used are
112 <      100 GeV (top, left), 150 GeV (top, right), 200 GeV (bottom,
113 <      left) and 250 GeV (bottom, right).
114 < \label{fig:cr2mtrest}
115 < }  
116 <      \end{center}
117 < \end{figure}
118 < \clearpage
102 > %\begin{figure}[hbt]
103 > %  \begin{center}
104 > %       \includegraphics[width=0.5\linewidth]{plots/CR2plots/mt_lepcor_scaled_met150_nj4_emucomb.pdf}%
105 > %       \includegraphics[width=0.5\linewidth]{plots/CR2plots/mt_lepcor_scaled_met200_nj4_emucomb.pdf}
106 > %       \includegraphics[width=0.5\linewidth]{plots/CR2plots/mt_lepcor_scaled_met250_nj4_emucomb.pdf}%
107 > %       \includegraphics[width=0.5\linewidth]{plots/CR2plots/mt_lepcor_scaled_met300_nj4_emucomb.pdf}
108 > %    \caption{
109 > %      Comparison of the \mt\ distribution in data vs. MC for events
110 > %      satisfying the requirements of CR2, combining both the muon and
111 > %      electron channels. The pseudo-\met\ requirements used are
112 > %      150 GeV (top, left), 200 GeV (top, right), 250 GeV (bottom,
113 > %      left) and 300 GeV (bottom, right).
114 > %\label{fig:cr2mtrest}
115 > %}  
116 > %      \end{center}
117 > %\end{figure}
118 > \clearpage

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