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\subsection{Single Lepton Top MC Modelling Validation from CR2}
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\label{sec:cr2}
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IS THIS GOING TO BE DONE WITH A BVETO OR NOT. IF SO, IS IT GOING TO
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BE CSVL OR CSVM? NEED TO DISCUSS THIS.
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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 $\mW < \mtop$.
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The modeling of the \mt\ tail from jet resolution effects is studied using \zjets\ data and MC samples.
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\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.
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The negative lepton is treated as a neutrino and so is added to the MET: \met\ $\rightarrow$ \pt(\Lepm) + \met,
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and the \mt\ is recalculated with the positive lepton \mt(\Lepp, \met).
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The resulting ``pseudo-\mt'' is dominated by jet resolution effects, since no off-shell
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\Z\ production enters the sample due to the \mll\ requirement.
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This section describes how well the MC predicts the tail of ``pseudo-\mt''.
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The underlying distributions are shown in Fig.~\ref{fig:cr2met}
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and~\ref{fig:cr2mtrest}. The comparison of data and MC event counts
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is shown in Table~\ref{tab:cr2yields}. From this table we extract
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the data to MC scale factors $SFR^{e}_{top}$ and $SFR^{\mu}_{top}$.
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\begin{table}[!h]
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\begin{center}
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{\footnotesize
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\begin{tabular}{l||c|c||c|c|c|c|c}
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\hline
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Sample & CR2PRESEL0 &CR2PRESEL1 & CR2A & CR2B & CR2C &
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CR2D & CR2E \\
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\hline
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\hline
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MC & $36 \pm 2$ & $30 \pm 2$ & $18 \pm 1$ & $30 \pm 2$ & $13 \pm 1$ & $5 \pm 0$ & $2 \pm 0$ \\
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Data & $56$ & $43$ & $32$ & $40$ & $21$ & $12$ & $2$ \\
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\hline
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Data/MC & $1.56 \pm 0.23$ & $1.44 \pm 0.24$ & $1.77 \pm 0.34$ & $1.32 \pm 0.22$ & $1.65 \pm 0.37$ & $2.65 \pm 0.79$ & $0.99 \pm 0.71$ \\
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\hline
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\hline
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\hline
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DY MC & $27 \pm 2$ & $23 \pm 2$ & $14 \pm 2$ & $25 \pm 3$ & $11 \pm 2$ & $3 \pm 1$ & $1 \pm 1$ \\
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DY Data & $47 \pm 8$ & $36 \pm 7$ & $28 \pm 6$ & $35 \pm 6$ & $19 \pm 5$ & $11 \pm 3$ & $1 \pm 1$ \\
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\hline
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DY Data/MC & $1.75 \pm 0.31$ & $1.58 \pm 0.32$ & $2.00 \pm 0.47$ & $1.38 \pm 0.31$ & $1.78 \pm 0.56$ & $3.29 \pm 1.73$ & $0.98 \pm 1.20$ \\
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\hline
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\hline
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\hline
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$SFR_{top}$ & $1.66 \pm 0.23$ & $1.51 \pm 0.24$ & $1.89 \pm
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0.34$ & $1.35 \pm 0.22$ & $1.71 \pm 0.37$ & $2.97 \pm 0.79$ & $0.98
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\pm 0.71$ \\
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\hline
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\end{tabular}}
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\caption{ Yields in \mt\ tail comparing the \zjets\ MC prediction (after
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applying SFs) to data after subtracting the non-\zjets\ components.
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CR2PRESEL refers to a sample with $\met>50$ GeV and $\mt>150$ GeV.
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The uncertainties are statistical only. NEED TO ADD THE SYMBOLS
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DEFINED IN THE TEXT FOR THESE SCALE FACTORS. IS THIS GOING TO BE
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DONE SEPARATELY FOR MUONS AND ELECTRONS???
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MAYBE WANT TO REMOVE LAST ENTRIES WHERE STATS ARE VERY LOW
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\label{tab:cr2yields}}
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\end{center}
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\end{table}
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\begin{figure}[hbt]
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\begin{center}
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% \includegraphics[width=0.5\linewidth]{plots/CR2plots/met_scaled_nj4_emucomb.pdf}%
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\includegraphics[width=0.5\linewidth]{plots/CR2plots/met_lepcor_scaled_nj4_emucomb.pdf}%
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\includegraphics[width=0.5\linewidth]{plots/CR2plots/mt_lepcor_scaled_nj4_emucomb.pdf}
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\includegraphics[width=0.5\linewidth]{plots/CR2plots/mt_lepcor_scaled_met50_nj4_emucomb.pdf}%
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\includegraphics[width=0.5\linewidth]{plots/CR2plots/mt_lepcor_scaled_met100_nj4_emucomb.pdf}
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\caption{
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Comparison of the pseudo\-\met\ (top, left), pseudo\-\mt\ (top,
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right and bottom) distributions in data vs. MC for events
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satisfying the requirements of CR2, combining both the muon and
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electron channels. The pseudo\-\mt\ distributions are shown
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before any additional requirements (top, right) and after
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requiring pseudo\-\met>50 GeV (bottom, left) and pseudo\-\met>100 GeV (bottom, right) .
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\label{fig:cr2met}
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}
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\end{center}
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\end{figure}
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\begin{figure}[hbt]
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\begin{center}
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\includegraphics[width=0.5\linewidth]{plots/CR2plots/mt_lepcor_scaled_met150_nj4_emucomb.pdf}%
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\includegraphics[width=0.5\linewidth]{plots/CR2plots/mt_lepcor_scaled_met200_nj4_emucomb.pdf}
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\includegraphics[width=0.5\linewidth]{plots/CR2plots/mt_lepcor_scaled_met250_nj4_emucomb.pdf}%
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\includegraphics[width=0.5\linewidth]{plots/CR2plots/mt_lepcor_scaled_met300_nj4_emucomb.pdf}
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\caption{
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Comparison of the \mt\ distribution in data vs. MC for events
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satisfying the requirements of CR2, combining both the muon and
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electron channels. The pseudo-\met\ requirements used are
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150 GeV (top, left), 200 GeV (top, right), 250 GeV (bottom,
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left) and 300 GeV (bottom, right).
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\label{fig:cr2mtrest}
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}
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\end{center}
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\end{figure}
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\clearpage |
