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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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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. This is done by normalizing
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the total \ttbar\ MC to the $M_T$ peak region, $50 < M_T < 80$ GeV
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in this sample.
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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, again by normalizing to the $M_T$ peak
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region.
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These normalization factors are summarized in Table~\ref{tab:cr5mtsf}.
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The post-veto $\ttdl$ is taken from MC, but with scale factor obtained
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by the normalization of the ``pre-veto'' sample.
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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:cr5mtrest}. 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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This is the second key test of the \ttdl\ modeling
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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|c}
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\hline
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Sample & CR5PRESEL & CR5A & CR5B & CR5C & CR5D & CR5E &
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CR5F & CR5G \\
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\hline
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\hline
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$\mu$ pre-veto \mt-SF & $1.05 \pm 0.01$ & $1.02 \pm 0.02$ & $0.95 \pm 0.03$ & $0.90 \pm 0.05$ & $0.98 \pm 0.08$ & $0.97 \pm 0.13$ & $0.85 \pm 0.18$ & $0.92 \pm 0.31$ \\
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$\mu$ post-veto \mt-SF & $1.25 \pm 0.04$ & $1.17 \pm 0.07$ & $1.05 \pm 0.12$ & $0.85 \pm 0.19$ & $0.84 \pm 0.30$ & $1.07 \pm 0.54$ & $1.38 \pm 1.14$ & $0.68 \pm 2.05$ \\
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\hline
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\hline
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e pre-veto \mt-SF & $1.01 \pm 0.01$ & $0.95 \pm 0.02$ & $0.95 \pm 0.03$ & $0.94 \pm 0.06$ & $0.85 \pm 0.09$ & $0.84 \pm 0.13$ & $1.05 \pm 0.23$ & $1.04 \pm 0.33$ \\
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e post-veto \mt-SF & $1.21 \pm 0.04$ & $1.12 \pm 0.07$ & $1.25 \pm 0.14$ & $1.17 \pm 0.27$ & $2.01 \pm 0.64$ & $1.71 \pm 0.99$ & $2.79 \pm 2.04$ & $0.81 \pm 1.58$ \\
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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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{\footnotesize
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\begin{tabular}{l||c||c|c|c|c|c|c|c}
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\hline
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Sample & CR5PRESEL & CR5A & CR5B & CR5C & CR5D & CR5E &
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CR5F & CR5G \\
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\hline
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\hline
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$\mu$ MC & $490 \pm 9$ & $299 \pm 7$ & $155 \pm 6$ & $49 \pm 3$ & $19 \pm 2$ & $7 \pm 1$ & $3 \pm 1$ & $2 \pm 1$ \\
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$\mu$ Data & $514$ & $311$ & $167$ & $57$ & $12$ & $4$ & $2$ & $1$ \\
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\hline
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$\mu$ Data/MC SF & $1.05 \pm 0.05$ & $1.04 \pm 0.06$ & $1.08 \pm 0.09$ & $1.17 \pm 0.17$ & $0.64 \pm 0.20$ & $0.54 \pm 0.29$ & $0.66 \pm 0.49$ & $0.58 \pm 0.62$ \\
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\hline
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\hline
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e MC & $405 \pm 8$ & $239 \pm 7$ & $130 \pm 5$ & $43 \pm 3$ & $16 \pm 2$ & $8 \pm 1$ & $6 \pm 2$ & $3 \pm 1$ \\
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e Data & $427$ & $248$ & $120$ & $38$ & $14$ & $4$ & $3$ & $2$ \\
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\hline
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e Data/MC SF & $1.06 \pm 0.06$ & $1.04 \pm 0.07$ & $0.93 \pm 0.09$ & $0.89 \pm 0.16$ & $0.86 \pm 0.25$ & $0.52 \pm 0.28$ & $0.54 \pm 0.35$ & $0.76 \pm 0.60$ \\
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\hline
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\hline
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$\mu$+e MC & $894 \pm 12$ & $538 \pm 10$ & $284 \pm 8$ & $92 \pm 4$ & $35 \pm 3$ & $15 \pm 2$ & $9 \pm 2$ & $4 \pm 1$ \\
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$\mu$+e Data & $941$ & $559$ & $287$ & $95$ & $26$ & $8$ & $5$ & $3$ \\
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\hline
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$\mu$+e Data/MC SF & $1.05 \pm 0.04$ & $1.04 \pm 0.05$ & $1.01 \pm 0.07$ & $1.04 \pm 0.12$ & $0.74 \pm 0.16$ & $0.53 \pm 0.20$ & $0.58 \pm 0.29$ & $0.69 \pm 0.43$ \\
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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_met50_leadmuo_nj4.pdf}%
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\includegraphics[width=0.5\linewidth]{plots/CR5plots/mt_met50_leadele_nj4.pdf}
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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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50 GeV (top), 150 GeV (middle) and 200 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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\begin{figure}[hbt]
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\begin{center}
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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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\includegraphics[width=0.5\linewidth]{plots/CR5plots/mt_met300_leadmuo_nj4.pdf}%
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\includegraphics[width=0.5\linewidth]{plots/CR5plots/mt_met300_leadele_nj4.pdf}
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\includegraphics[width=0.5\linewidth]{plots/CR5plots/mt_met350_leadmuo_nj4.pdf}%
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\includegraphics[width=0.5\linewidth]{plots/CR5plots/mt_met350_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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250 GeV (top), 300 GeV (middle) and 350 GeV (bottom).
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\label{fig:cr5mtrest2}
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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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|
