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\section{Tail-to-Peak ratio for lepton $+$ jets top and W events}
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\label{sec:ttp}
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[FILL IN SOME XX]
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An important component
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of the background calculation is the ratio of the number of events with $M_T$ in the signal region
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to the number of events with XX $< M_T <$ XX GeV.
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As discussed in Section~\ref{sec:ljbq-general}, these ratios are different for $W +$ jets and
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top events.
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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}
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\hline
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Sample & SRA & SRB & SRC & SRD & SRE\\
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\hline
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\hline
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Muon TTP SL Top ($R^{\mu}_{top}$) & 0.012 & 0.030 & 0.019 & 0.021 & 0.024 \\
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Muon TTP W+Jets ($R^{\mu}_{wjet}$) & 0.032 & 0.058 & 0.054 & 0.060 & 0.058 \\
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\hline
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\hline
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Electron TTP SL Top ($R^e_{top}$) & 0.012 & 0.027 & 0.021 & 0.023 & 0.010 \\
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Electron TTP W+Jets ($R^e_{wjet}$) & 0.032 & 0.070 & 0.071 & 0.073 & 0.070 \\
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\hline
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\hline
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\end{tabular}
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\caption{ Ratio of MC events in the \mt-tail over events in the \mt-peak for
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\ttsl\ (also used for 1-lepton single top) and \wjets. These are
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derived before applying the b-tagging requirement.
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ADD STAT. UNCERTAINTIES. VERENA....MAKE SURE TO ADD THE SYMBOLS
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\label{tab:ttp}}
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\end{center}
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\end{table}
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The MC value of these ratios are shown in Table~\ref{tab:ttp}.
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In addition the studies of CR1 and CR2 (Sections~\ref{sec:cr1} and~\ref{sec:cr2})
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lead to data/MC scale factors
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$SFR^{e}_{wjets}$ and $SFR^{\mu}_{wjets}$ (Table~\ref{tab:cr1yields}) and
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$SFR^{e}_{top}$ and $SFR^{\mu}_{top}$ (Table~\ref{tab:cr2yields})
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\clearpage |