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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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to the number of events with $50 < M_T < 80$~GeV. |
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As discussed in Section~\ref{sec:ljbg-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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{\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 & SRA & SRB & SRC & SRD & SRE & SRF & SRG\\ |
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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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$R^{\mu}_{top}$ & $0.015 \pm 0.001$ & $0.035 \pm 0.002$ & $0.021 \pm 0.002$ & $0.021 \pm 0.004$ & $0.025 \pm 0.007$ & $0.015 \pm 0.009$ & $0.021 \pm 0.015$ \\ |
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$R^{\mu}_{wjet}$ & $0.040 \pm 0.001$ & $0.071 \pm 0.003$ & $0.062 \pm 0.004$ & $0.064 \pm 0.006$ & $0.065 \pm 0.009$ & $0.067 \pm 0.012$ & $0.065 \pm 0.016$ \\ |
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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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$R^e_{top}$ & $0.015 \pm 0.001$ & $0.031 \pm 0.002$ & $0.026 \pm 0.003$ & $0.025 \pm 0.005$ & $0.009 \pm 0.005$ & $0.021 \pm 0.012$ & $0.034 \pm 0.024$ \\ |
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$R^e_{wjet}$ & $0.040 \pm 0.002$ & $0.075 \pm 0.004$ & $0.067 \pm 0.005$ & $0.063 \pm 0.007$ & $0.061 \pm 0.010$ & $0.067 \pm 0.015$ & $0.070 \pm 0.021$ \\ |
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\hline |
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\end{tabular} |
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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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$SFR_{wjets}$ (Table~\ref{tab:cr1yields}) and |
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$SFR_{top}$ (Table~\ref{tab:cr2yields}) |
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\clearpage |