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\subsection{Dilepton studies in CR4} |
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\label{sec:cr4} |
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[DO WE NEED TO BETTER SPECIFY THE SELECTION FOR THIS REGION???] |
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\subsubsection{Modeling of Additional Hard Jets in Top Dilepton Events} |
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\label{sec:jetmultiplicity} |
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\item exactly 2 selected electrons or muons with \pt $>$ 20 GeV |
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\item \met\ $>$ 100 GeV |
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\item $\geq1$ b-tagged jet |
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\item Z-veto |
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\item Z-veto ($|m_{\ell\ell} - 91| > 15$ GeV) |
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\end{itemize} |
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Figure~\ref{fig:dileptonnjets} shows a comparison of the jet |
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multiplicity distribution in data and MC for this two-lepton control |
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In this case only 1 additional jet from radiation may suffice for |
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a \ttll\ event to enter the signal sample. As a result, both the |
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samples with $\ttbar+1$ jet and $\ttbar+\ge2$ jets are relevant for |
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estimating the top dilepton bkg in the signal region. |
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estimating the top dilepton background in the signal region. |
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%In this section we discuss a correction to $ N_{2 lep}^{MC} $ in Equation XXX |
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%due to differences in the modelling of the jet multiplicity in data versus MC. |
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\hline |
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\hline |
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N jets $= 3$ (sensitive to $\ttbar+1$ extra jet from radiation) & |
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$K_3 = 0.97 \pm 0.03$\\ |
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$K_3 = 1.01 \pm 0.03$\\ |
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N jets $\ge4$ (sensitive to $\ttbar+\ge2$ extra jets from radiation) |
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& $K_4 = 0.91 \pm 0.04$\\ |
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& $K_4 = 0.93 \pm 0.04$\\ |
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\hline |
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\end{tabular} |
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\caption{Data/MC scale factors used to account for differences in the |
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\subsubsection{Validation of the ``Physics'' Modelling of the \ttdl\ |
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MC in CR4} |
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\subsubsection{sec:CR4-valid} |
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\label{sec:CR4-valid} |
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[THE TEXT IN THIS SUBSECTION IS ESSENTIALLY COMPLETE] |
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background by looking at the $M_T$ distribution of well identified |
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dilepton events. |
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We construct a transverse mass variable from the leading lepton and |
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the \met\. We distinguish between events with leading electrons and |
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the \met. We distinguish between events with leading electrons and |
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leading muons. |
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The $t\bar{t}$ MC is corrected using the $K_3$ and $K_4$ factors |
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in Table~\ref{tab:cr4mtsf} and are close to unity. |
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The underlying \met\ and $M_T$ distributions are shown in |
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Figures~\ref{fig:cr4met} and~\ref{fig:cr4rest}. The data-MC agreement |
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Figures~\ref{fig:cr4met} and~\ref{fig:cr4mtrest}. The data-MC agreement |
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is quite good. Quantitatively, this is also shown in Table~\ref{tab:cr4yields}. |
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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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{\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 & CR4A & CR4B & CR4C & CR4D \\ |
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Sample & CR4PRESEL & CR4A & CR4B & CR4C & |
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CR4D & CR4E & CR4F\\ |
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\hline |
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\hline |
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Muon Data/MC-SF & $0.91 \pm 0.04$ & $0.94 \pm 0.07$ & $1.06 \pm 0.13$ & $1.03 \pm 0.22$ \\ |
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$\mu$ Data/MC-SF & $1.01 \pm 0.03$ & $0.96 \pm 0.04$ & $0.99 \pm 0.07$ & $1.05 \pm 0.13$ & $0.91 \pm 0.20$ & $1.10 \pm 0.34$ & $1.50 \pm 0.67$ \\ |
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\hline |
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\hline |
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Electron Data/MC-SF & $0.95 \pm 0.04$ & $1.00 \pm 0.08$ & $0.85 \pm 0.12$ & $0.83 \pm 0.19$ \\ |
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e Data/MC-SF & $0.99 \pm 0.03$ & $0.99 \pm 0.05$ & $0.91 \pm 0.08$ & $0.84 \pm 0.13$ & $0.70 \pm 0.18$ & $0.73 \pm 0.29$ & $0.63 \pm 0.38$ \\ |
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\hline |
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\end{tabular} |
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\end{tabular}} |
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\caption{ Data/MC scale factors for total yields, applied to compare |
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the shapes of the distributions. |
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The uncertainties are statistical only. |
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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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{\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 & CR4A & CR4B & CR4C & CR4D \\ |
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Sample & CR4PRESEL & CR4A & CR4B & CR4C & |
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CR4D & CR4E & CR4F\\ |
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\hline |
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\hline |
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Muon MC & $199 \pm 7$ & $102 \pm 6$ & $29 \pm 3$ & $8 \pm 1$ \\ |
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Muon Data & $187$ & $108$ & $34$ & $9$ \\ |
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$\mu$ MC & $256 \pm 5$ & $152 \pm 4$ & $91 \pm 3$ & $26 \pm 2$ & $6 \pm 1$ & $4 \pm 1$ & $2 \pm 1$ \\ |
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$\mu$ Data & $251$ & $156$ & $98$ & $27$ & $8$ & $6$ & $4$ \\ |
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\hline |
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Muon Data/MC SF & $0.94 \pm 0.08$ & $1.06 \pm 0.12$ & $1.17 \pm 0.23$ & $1.09 \pm 0.40$ \\ |
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$\mu$ Data/MC SF & $0.98 \pm 0.07$ & $1.02 \pm 0.09$ & $1.08 \pm 0.12$ & $1.04 \pm 0.21$ & $1.29 \pm 0.48$ & $1.35 \pm 0.59$ & $2.10 \pm 1.28$ \\ |
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\hline |
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\hline |
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Electron MC & $203 \pm 8$ & $97 \pm 5$ & $26 \pm 2$ & $8 \pm 1$ \\ |
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Electron Data & $201$ & $102$ & $25$ & $5$ \\ |
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e MC & $227 \pm 5$ & $139 \pm 4$ & $73 \pm 3$ & $21 \pm 1$ & $5 \pm 1$ & $2 \pm 0$ & $1 \pm 0$ \\ |
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e Data & $219$ & $136$ & $72$ & $19$ & $2$ & $1$ & $1$ \\ |
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\hline |
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Electron Data/MC SF & $0.99 \pm 0.08$ & $1.06 \pm 0.12$ & $0.97 \pm 0.21$ & $0.60 \pm 0.29$ \\ |
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e Data/MC SF & $0.96 \pm 0.07$ & $0.98 \pm 0.09$ & $0.99 \pm 0.12$ & $0.92 \pm 0.22$ & $0.41 \pm 0.29$ & $0.53 \pm 0.54$ & $0.76 \pm 0.78$ \\ |
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\hline |
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\end{tabular} |
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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:cr4yields}} |
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\begin{figure}[hbt] |
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\begin{center} |
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\includegraphics[width=0.5\linewidth]{plots/CR4plots/mt_met50_leadmuo_nj4.pdf}% |
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\includegraphics[width=0.5\linewidth]{plots/CR4plots/mt_met50_leadele_nj4.pdf} |
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\includegraphics[width=0.5\linewidth]{plots/CR4plots/mt_met150_leadmuo_nj4.pdf}% |
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\includegraphics[width=0.5\linewidth]{plots/CR4plots/mt_met150_leadele_nj4.pdf} |
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\includegraphics[width=0.5\linewidth]{plots/CR4plots/mt_met200_leadmuo_nj4.pdf}% |
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\includegraphics[width=0.5\linewidth]{plots/CR4plots/mt_met200_leadele_nj4.pdf} |
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\includegraphics[width=0.5\linewidth]{plots/CR4plots/mt_met250_leadmuo_nj4.pdf}% |
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\includegraphics[width=0.5\linewidth]{plots/CR4plots/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 CR4. The \met\ requirements used are |
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150 GeV (top), 200 GeV (middle) and 250 GeV (bottom). |
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50 GeV (top), 200 GeV (middle) and 250 GeV (bottom). |
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\label{fig:cr4mtrest} |
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} |
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\end{center} |
