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\subsection{Single Lepton Top MC Modelling Validation from CR2} |
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\label{sec:cr2} |
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|
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IS THIS GOING TO BE DONE WITH A BVETO OR NOT. IF SO, IS IT GOING TO |
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BE CSVL OR CSVM? NEED TO DISCUSS THIS. |
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The \mt\ tail for single-lepton top events (\ttsl\ and single top) is dominated by jet resolution effects. The \W\ cannot be far off-shell because $\mW < \mtop$. |
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The modeling of the \mt\ tail from jet resolution effects is studied using \zjets\ data and MC samples. |
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\Z\ events are selection by requiring 2 good leptons (satisfying ID and isolation requirements) and requiring the \mll\ to be in the range $81-101$ GeV. |
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The negative lepton is treated as a neutrino and so is added to the MET: \met\ $\rightarrow$ \pt(\Lepm) + \met, |
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and the \mt\ is recalculated with the positive lepton \mt(\Lepp, \met). |
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The modeling of the \mt\ tail from jet resolution effects can be studied |
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using \zjets\ data and MC samples. However, as we will show below, |
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this test is statistically limited and can only be performed for the |
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\met\ requirements corresponding to SRA and SRB. |
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|
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\Z\ events are selected by requiring exactly 2 good leptons (satisfying ID |
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and isolation requirements) and requiring the \mll\ to be in the range |
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$81-101$ GeV. |
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Events with additional isolated tracks are vetoed, as in Section~\ref{sec:tkveto}. |
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To reduce \ttbar\ backgrounds, events with a CSVM tag %H |
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are removed. |
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The positive lepton is treated as a neutrino and so is added to the MET: \met\ $\rightarrow$ \pt(\Lepp) + \met, |
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and the \mt\ is recalculated with the negative lepton: \mt(\Lepm, \met). |
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The resulting ``pseudo-\mt'' is dominated by jet resolution effects, since no off-shell |
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\Z\ production enters the sample due to the \mll\ requirement. |
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This section describes how well the MC predicts the tail of ``pseudo-\mt''. |
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|
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The underlying distributions are shown in Fig.~\ref{fig:cr2met} |
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and~\ref{fig:cr2mtrest}. The comparison of data and MC event counts |
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is shown in Table~\ref{tab:cr2yields}. From this table we extract |
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the data to MC scale factors $SFR^{e}_{top}$ and $SFR^{\mu}_{top}$. |
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The underlying distributions are shown in Fig.~\ref{fig:cr2met}. |
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%and~\ref{fig:cr2mtrest}. |
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We then perform the exact same type of Data/MC comparison and analysis as |
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described for CR1 in Section~\ref{sec:cr1}. For CR1 we collected |
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the data/MC tail information in |
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Table~\ref{tab:cr1yields}; the equivalent for CR2 is |
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Table~\ref{tab:cr2yields} (for CR2 the statistics are not sufficient to split electrons and muons). |
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The last line of Table~\ref{tab:cr2yields} gives the data/MC scale factors |
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for the \ttbar\ lepton $+$ jets $M_T$ tail ($SFR_{top}$). This is |
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calculated in the same way as $SFR_{wjets}$ of Table~\ref{tab:cr1yields}. |
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Just as in CR1, there is an excess of data in the tails, as reflected |
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in the values of $SFR_{top}$. There are insufficient events to derive scale factors for |
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$\met\ > 150$~GeV. As a result, the scale factors derived from CR2 are |
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not used for the central prediction of the single-lepton top |
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background. They serve as a valuable cross check of the predictions |
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described in Section~\ref{sec:ttp}. The single lepton top predictions |
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obtained for SRA and SRB using the $SFR_{top}$ values described here |
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are consistent with the default predictions. |
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|
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|
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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|c} |
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{\footnotesize |
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\begin{tabular}{l||c|c||c|c} |
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\hline |
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Sample & CR2PRESEL0 &CR2PRESEL1 & CR2A & CR2B & CR2C & CR2D \\ |
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Sample & CR2PRESEL0 &CR2PRESEL1 & CR2A & CR2B \\ |
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\hline |
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\hline |
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DY MC & $35 \pm 2$ & $30 \pm 2$ & $18 \pm 2$ & $32 \pm 3$ & $12 \pm 2$ & $5 \pm 1$ \\ |
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Data - non-DY MC & $65 \pm 9$ & $50 \pm 8$ & $36 \pm 6$ & $49 \pm 7$ & $25 \pm 5$ & $14 \pm 4$ \\ |
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MC & $32 \pm 2$ & $28 \pm 2$ & $10 \pm 1$ & $10 \pm 1$ \\ |
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Data & $50$ & $45$ & $17$ & $17$ \\ |
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\hline |
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Data/MC SF & $1.88 \pm 0.29$ & $1.68 \pm 0.30$ & $1.94 \pm 0.40$ & $1.54 \pm 0.29$ & $2.12 \pm 0.58$ & $2.96 \pm 1.22$ \\ |
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Data/MC & $1.56 \pm 0.24$ & $1.63 \pm 0.27$ & $1.68 \pm 0.45$ & $1.74 \pm 0.48$ \\ |
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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. CR2PRESEL refers to a sample with $\met>50$ |
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GeV and $\mt>150$ GeV. |
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The uncertainties are statistical only. NEED TO ADD THE SYMBOLS |
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DEFINED IN THE TEXT FOR THESE SCALE FACTORS. IS THIS GOING TO BE |
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DONE SEPARATELY FOR MUONS AND ELECTRONS??? |
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\hline |
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\hline |
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DY MC & $25 \pm 2$ & $20 \pm 2$ & $5 \pm 1$ & $5 \pm 1$ \\ |
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DY Data & $42 \pm 7$ & $38 \pm 7$ & $12 \pm 4$ & $12 \pm 4$ \\ |
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\hline |
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DY Data/MC & $1.73 \pm 0.32$ & $1.85 \pm 0.37$ & $2.37 \pm 0.96$ & $2.58 \pm 1.16$ \\ |
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\hline |
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\hline |
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\hline |
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$SFR_{top}$ & $1.64 \pm 0.40$ & $1.74 \pm 0.46$ & $2.02 \pm 0.68$ & $2.16 \pm 0.75$ \\ |
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\hline |
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\end{tabular}} |
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\caption{ Yields in \mt\ tail comparing the \zjets\ MC prediction (after |
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applying SFs) to data without subtracting the non-\zjets\ components (top table) and with subtracting the non-\zjets\ components (bottom table). |
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CR2PRESEL refers to a sample with $\met>50$ GeV and $\mt>150$ GeV. |
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\label{tab:cr2yields}} |
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\end{center} |
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\end{table} |
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|
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%\hline |
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%$N_{1l-top}$ SF & - & - & $172 \pm 58$ & $119 \pm 42$ \\ |
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%\hline |
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%$N_{1l-top}$ Opt/Pess & - & - & $256 \pm 131$ & $120 \pm 50$ \\ |
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|
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|
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\begin{figure}[hbt] |
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\begin{center} |
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\includegraphics[width=0.5\linewidth]{plots/CR2plots/met_scaled_nj4_emucomb.pdf}% |
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\includegraphics[width=0.5\linewidth]{plots/CR2plots/met_lepcor_scaled_nj4_emucomb.pdf} |
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\includegraphics[width=0.5\linewidth]{plots/CR2plots/mt_lepcor_scaled_nj4_emucomb.pdf}% |
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\includegraphics[width=0.5\linewidth]{plots/CR2plots/mt_lepcor_scaled_met50_nj4_emucomb.pdf} |
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% \includegraphics[width=0.5\linewidth]{plots/CR2plots/met_scaled_nj4_emucomb.pdf}% |
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\includegraphics[width=0.5\linewidth]{plots/CR2plots/met_lepcor_scaled_nj4_emucomb.pdf}% |
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\includegraphics[width=0.5\linewidth]{plots/CR2plots/mt_lepcor_scaled_nj4_emucomb.pdf} |
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\includegraphics[width=0.5\linewidth]{plots/CR2plots/mt_lepcor_scaled_met50_nj4_emucomb.pdf}% |
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\includegraphics[width=0.5\linewidth]{plots/CR2plots/mt_lepcor_scaled_met100_nj4_emucomb.pdf} |
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|
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\caption{ |
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Comparison of the \met\ (top, left), pseudo-\met\ (top, right) |
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and pseudo-\mt\ (bottom) distributions in data vs. MC for events |
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Comparison of the pseudo-\met\ (top, left), pseudo-\mt\ (top, |
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right and bottom) distributions in data vs. MC for events |
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satisfying the requirements of CR2, combining both the muon and |
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electron channels. The pseudo-\mt\ distributions are shown |
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before any additional requirements (bottom, left) and after |
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requiring pseudo-\met>50 GeV (bottom, right). |
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before any additional requirements (top, right) and after |
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requiring pseudo-\met $>$50 GeV (bottom, left) and pseudo-\met |
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$>$ 100 GeV (bottom, right). |
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\label{fig:cr2met} |
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} |
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\end{center} |
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\end{figure} |
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|
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\begin{figure}[hbt] |
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\begin{center} |
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\includegraphics[width=0.5\linewidth]{plots/CR2plots/mt_lepcor_scaled_met100_nj4_emucomb.pdf}% |
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\includegraphics[width=0.5\linewidth]{plots/CR2plots/mt_lepcor_scaled_met150_nj4_emucomb.pdf} |
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\includegraphics[width=0.5\linewidth]{plots/CR2plots/mt_lepcor_scaled_met200_nj4_emucomb.pdf}% |
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\includegraphics[width=0.5\linewidth]{plots/CR2plots/mt_lepcor_scaled_met250_nj4_emucomb.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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satisfying the requirements of CR2, combining both the muon and |
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electron channels. The pseudo-\met\ requirements used are |
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100 GeV (top, left), 150 GeV (top, right), 200 GeV (bottom, |
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left) and 250 GeV (bottom, right). |
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\label{fig:cr2mtrest} |
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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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%\begin{figure}[hbt] |
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% \begin{center} |
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% \includegraphics[width=0.5\linewidth]{plots/CR2plots/mt_lepcor_scaled_met150_nj4_emucomb.pdf}% |
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% \includegraphics[width=0.5\linewidth]{plots/CR2plots/mt_lepcor_scaled_met200_nj4_emucomb.pdf} |
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% \includegraphics[width=0.5\linewidth]{plots/CR2plots/mt_lepcor_scaled_met250_nj4_emucomb.pdf}% |
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% \includegraphics[width=0.5\linewidth]{plots/CR2plots/mt_lepcor_scaled_met300_nj4_emucomb.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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% satisfying the requirements of CR2, combining both the muon and |
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% electron channels. The pseudo-\met\ requirements used are |
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% 150 GeV (top, left), 200 GeV (top, right), 250 GeV (bottom, |
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% left) and 300 GeV (bottom, right). |
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%\label{fig:cr2mtrest} |
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%} |
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% \end{center} |
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%\end{figure} |
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\clearpage |
