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\subsection{Test of control region with isolated track in CR5}
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\label{sec:CR5}
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[NEED TO VERIFY THAT THE DESCRIPTION OF SCALE FACTORS IS CORRECT AND
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ADD A LITTLE BIT OF DETAIL, AS NOTED IN THE TEXT]
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This CR consists of events that pass all cuts but fail the isolated
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track veto cut. These events (especially in the tail of $M_T$) are
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predominantly $t\bar{t}$ dileptons. Thus the test in this control
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regions is similar to that performed in CR4 and described
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in Section~\ref{sec:CR4-valid}. There is some non-trivial
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complementarity because CR5 also includes events with
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taus and events with electrons or muons below the threshold of
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the CR4 selection. Also, this test is somewhat sensitive to
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the simulation of the track isolation requirement, since the
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number of dilepton events in CR5 depends on the (in)efficiency
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of that cut.
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In CR5 there is also a significant component
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of $t\bar{t} \to \ell +$ jets, where one of the jets fluctuates
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to an isolated track. This component dominates at low $M_T$
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and is not necessarily well reproduced quantitatively by the
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simulation. This makes the normalization of the top MC a little bit tricky.
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We define a ``pre-veto'' sample as the sample of events that pass
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all cuts without any isolated track requirements. This sample is
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dominated by $t\bar{t} \to \ell +$ jets. We normalize the dilepton
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component of the top MC to that sample (NEED TO EXPLAIN EXACTLY HOW).
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Next we define a ``post-veto'' sample as the events that have an
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isolated track. The $t\bar{t} \to \ell +$ jets component is
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normalized in this sample (ALSO, NEED TO EXPLAIN HOW, EXACTLY).
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These normalization factors are summarized in Table~\ref{tab:cr5mtsf}.
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The underlying \met\ and $M_T$ distributions are shown in
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Figures~\ref{fig:cr5met} and~\ref{fig:cr5rest}. The data-MC agreement
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is quite good. Quantitatively, this is also shown in Table~\ref{tab:cr5yields}.
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\begin{table}[!h]
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\begin{center}
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\begin{tabular}{l||c|c|c|c}
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\hline
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Sample & CR5A & CR5B & CR5C & CR5D \\
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\hline
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\hline
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Muon pre-veto \mt-SF & $0.98 \pm 0.02$ & $0.95 \pm 0.04$ & $0.99 \pm 0.08$ & $0.89 \pm 0.15$ \\
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Muon post-veto \mt-SF & $1.28 \pm 0.07$ & $1.20 \pm 0.13$ & $1.22 \pm 0.24$ & $1.25 \pm 0.43$ \\
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\hline
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\hline
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Electron pre-veto \mt-SF & $0.83 \pm 0.02$ & $0.75 \pm 0.04$ & $0.64 \pm 0.07$ & $0.63 \pm 0.12$ \\
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Electron post-veto \mt-SF & $1.10 \pm 0.08$ & $1.02 \pm 0.11$ & $0.89 \pm 0.19$ & $1.27 \pm 0.41$ \\
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\hline
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\end{tabular}
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\caption{ \mt\ peak Data/MC scale factors. The pre-veto SFs are applied to the
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\ttdl\ sample, while the post-veto SFs are applied to the single
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lepton samples. The raw MC is used for backgrounds from rare processes.
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The uncertainties are statistical only.
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\label{tab:cr5mtsf}}
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\end{center}
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\end{table}
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\begin{table}[!h]
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\begin{center}
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\begin{tabular}{l||c|c|c|c}
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\hline
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Sample & CR5A & CR5B & CR5C & CR5D \\
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\hline
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\hline
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Muon MC & $293 \pm 9$ & $161 \pm 7$ & $51 \pm 4$ & $16 \pm 2$ \\
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Muon Data & $315$ & $165$ & $62$ & $13$ \\
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\hline
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Muon Data/MC SF & $1.07 \pm 0.07$ & $1.03 \pm 0.09$ & $1.21 \pm 0.18$ & $0.82 \pm 0.25$ \\
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\hline
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\hline
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Electron MC & $253 \pm 8$ & $126 \pm 5$ & $37 \pm 3$ & $12 \pm 2$ \\
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Electron Data & $286$ & $135$ & $39$ & $15$ \\
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\hline
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Electron Data/MC SF & $1.13 \pm 0.08$ & $1.07 \pm 0.10$ & $1.07 \pm 0.19$ & $1.21 \pm 0.35$ \\
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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. The uncertainties are statistical only.
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\label{tab:cr5yields}}
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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/CR5plots/met_met50_leadmuo_nj4.pdf}%
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\includegraphics[width=0.5\linewidth]{plots/CR5plots/met_met50_leadele_nj4.pdf}
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\includegraphics[width=0.5\linewidth]{plots/CR5plots/mt_met100_leadmuo_nj4.pdf}%
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\includegraphics[width=0.5\linewidth]{plots/CR5plots/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 CR5.
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\label{fig:cr5met}
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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/CR5plots/mt_met150_leadmuo_nj4.pdf}%
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\includegraphics[width=0.5\linewidth]{plots/CR5plots/mt_met150_leadele_nj4.pdf}
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\includegraphics[width=0.5\linewidth]{plots/CR5plots/mt_met200_leadmuo_nj4.pdf}%
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\includegraphics[width=0.5\linewidth]{plots/CR5plots/mt_met200_leadele_nj4.pdf}
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\includegraphics[width=0.5\linewidth]{plots/CR5plots/mt_met250_leadmuo_nj4.pdf}%
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\includegraphics[width=0.5\linewidth]{plots/CR5plots/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 CR5. 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:cr5mtrest}
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}
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\end{center}
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\end{figure}
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\clearpage
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