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\subsection{W+Jets MC Modelling Validation from CR1}
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\label{sec:cr1}
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The estimate of the uncertainty on this background is based on CR1,
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defined by applying the full signal selection, including the isolated track veto, but requiring 0 b-tags
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(CSV medium working point as described in Sec.~\ref{sec:selection}).
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The sample is dominanted by \wjets\ and is thus used to validate the MC modelling of this background.
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In Table~\ref{tab:cr1mtsf} we show the amount that we need to scale the Wjets MC
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by in order to have agreement between data and Monte Carlo in the $M_T$ peak
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region, defined as $60 < M_T < 100$ GeV. These scale factors are not terribly
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important, but it is reassuring that they are not too different from 1. (ARE THESE
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SCALED FOR TRIGGER EFFICIENCY???)
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\begin{table}[!h]
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\begin{center}
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\begin{tabular}{l||c||c|c|c|c|c}
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\hline
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Sample & CR1PRESEL & CR1A & CR1B & CR1C & CR1D & CR1E\\
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\hline
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\hline
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Muon \mt-SF & $0.75 \pm 0.01$ & $0.77 \pm 0.02$ & $0.78 \pm 0.03$ & $0.79 \pm 0.05$ & $0.88 \pm 0.08$ & $0.91 \pm 0.12$ \\
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\hline
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\hline
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Electron \mt-SF & $0.84 \pm 0.02$ & $0.83 \pm 0.03$ & $0.80 \pm 0.04$ & $0.78 \pm 0.06$ & $0.76 \pm 0.09$ & $0.73 \pm 0.12$ \\
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\hline
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\end{tabular}
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\caption{ \mt\ peak Data/MC scale factors applied to the single lepton
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samples and \ttdl. The raw MC is used for backgrounds from rare
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processes. CR1PRESEL refers to a sample with $\met>50$ GeV.
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The uncertainties are statistical only.
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\label{tab:cr1mtsf}}
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\end{center}
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\end{table}
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In Table~\ref{tab:cr1yields} we compare the data and MC yields in the four $M_T$ signal regions
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and in a looser control region. We also derive the data/MC scale factors
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$SFR^{e}_{wjet}$ and $SFR^{\mu}_{wjet}$. The underlying \met\ and $M_T$ distributions
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are shown in Fig.~\ref{fig:cr1met} and~\ref{fig:cr1mtrest}
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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}
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\hline
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Sample & CR1PRESEL & CR1A & CR1B & CR1C & CR1D & CR1E\\
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\hline
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\hline
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Muon MC & $481 \pm 20$ & $176 \pm 5$ & $121 \pm 4$ & $42 \pm 2$ & $18 \pm 2$ & $9 \pm 1$ \\
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Muon Data & $629$ & $238$ & $139$ & $45$ & $12$ & $8$ \\
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\hline
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Muon Data/MC SF: ($SFR^{\mu}_{wjet}$) & $1.31 \pm 0.08$ & $1.35 \pm 0.10$ & $1.15 \pm 0.11$ & $1.06 \pm 0.17$ & $0.68 \pm 0.21$ & $0.92 \pm 0.35$ \\
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\hline
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\hline
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Electron MC & $322 \pm 7$ & $119 \pm 4$ & $81 \pm 3$ & $30 \pm 2$ & $13 \pm 1$ & $5 \pm 1$ \\
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Electron Data & $487$ & $181$ & $103$ & $38$ & $16$ & $6$ \\
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\hline
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Electron Data/MC SF: ($SFR^e_{wjet}$) & $1.51 \pm 0.08$ & $1.53 \pm 0.13$ & $1.28 \pm 0.14$ & $1.25 \pm 0.22$ & $1.25 \pm 0.34$ & $1.26 \pm 0.56$ \\
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\hline
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\end{tabular}}
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\caption{ Yields in \mt\ tail comparing the MC prediction (after
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applying SFs) to data. CR1PRESEL refers to a sample with $\met>50$
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GeV and $\mt>150$ GeV.
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The uncertainties are statistical only.
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\label{tab:cr1yields}}
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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/CR1plots/met_met50_leadmuo_nj4.pdf}%
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\includegraphics[width=0.5\linewidth]{plots/CR1plots/met_met50_leadele_nj4.pdf}
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\includegraphics[width=0.5\linewidth]{plots/CR1plots/mt_met100_leadmuo_nj4.pdf}%
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\includegraphics[width=0.5\linewidth]{plots/CR1plots/mt_met100_leadele_nj4.pdf}
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\caption{
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Comparison of the \met\ (top) and \mt\ for $\met>100$ (bottom) distributions in data vs. MC for events
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with a leading muon (left) and leading electron (right)
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satisfying the requirements of CR1.
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\label{fig:cr1met}
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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/CR1plots/mt_met150_leadmuo_nj4.pdf}%
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\includegraphics[width=0.5\linewidth]{plots/CR1plots/mt_met150_leadele_nj4.pdf}
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\includegraphics[width=0.5\linewidth]{plots/CR1plots/mt_met200_leadmuo_nj4.pdf}%
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\includegraphics[width=0.5\linewidth]{plots/CR1plots/mt_met200_leadele_nj4.pdf}
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\includegraphics[width=0.5\linewidth]{plots/CR1plots/mt_met250_leadmuo_nj4.pdf}%
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\includegraphics[width=0.5\linewidth]{plots/CR1plots/mt_met250_leadele_nj4.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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with a leading muon (left) and leading electron (right)
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satisfying the requirements of CR1. The \met\ requirements used are
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150 GeV (top), 200 GeV (middle) and 250 GeV (bottom).
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\label{fig:cr1mtrest}
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}
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\end{center}
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\end{figure}
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\clearpage |
