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%\section{Systematics Uncertainties on the Background Prediction} |
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%\label{sec:systematics} |
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|
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[DESCRIBE HERE ONE BY ONE THE UNCERTAINTIES THAT ARE PRESENT IN THE SPREADSHHET |
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FROM WHICH WE CALCULATE THE TOTAL UNCERTAINTY. WE KNOW HOW TO DO THIS |
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AND |
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WE HAVE THE TECHNOLOGY FROM THE 7 TEV ANALYSIS TO PROPAGATE ALL |
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UNCERTAINTIES |
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CORRECTLY THROUGH. WE WILL DO IT ONCE WE HAVE SETTLED ON THE |
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INDIVIDUAL PIECES WHICH ARE STILL IN FLUX] |
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|
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In this Section we discuss the systematic uncertainty on the BG |
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prediction. This prediction is assembled from the event |
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counts in the peak region of the transverse mass distribution as |
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region, |
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for electrons and muons separately. |
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|
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The choice to normalizing to the peak region of $M_T$ has the |
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The choice to normalize to the peak region of $M_T$ has the |
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advantage that some uncertainties, e.g., luminosity, cancel. |
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It does however introduce complications because it couples |
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some of the uncertainties in non-trivial ways. For example, |
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the $t\bar{t} \to$ dilepton BG estimate because it changes the |
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$t\bar{t}$ normalization to the peak region (because some of the |
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events in the peak region are from rare processes). These effects |
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are carefully accounted for. The contribution to the overall |
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uncertainty from each BG source is tabulated in |
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are carefully accounted for. The contribution to the overall |
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uncertainty from each background source is tabulated in |
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Section~\ref{sec:bgunc-bottomline}. |
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First, however, we discuss the uncertainties one-by-one and we comment |
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Here we discuss the uncertainties one-by-one and comment |
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on their impact on the overall result, at least to first order. |
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Second order effects, such as the one described, are also included. |
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|
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\subsection{Statistical uncertainties on the event counts in the $M_T$ |
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peak regions} |
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These vary between XX and XX \%, depending on the signal region |
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These vary between 2\% and 20\%, depending on the signal region |
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(different |
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signal regions have different \met\ requirements, thus they also have |
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different $M_T$ regions used as control. |
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different $M_T$ regions used as control). |
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Since |
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the major BG, eg, $t\bar{t}$ are normalized to the peak regions, this |
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the major backgrounds, eg, $t\bar{t}$ are normalized to the peak regions, this |
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fractional uncertainty is pretty much carried through all the way to |
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the end. There is also an uncertainty from the finite MC event counts |
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in the $M_T$ peak regions. This is also included, but it is smaller. |
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|
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Normalizing to the $M_T$ peak has the distinct advantages that |
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uncertainties on luminosity, cross-sections, trigger efficiency, |
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lepton ID, cancel out. |
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For the low statistics regions with high \met\ requirements, the |
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price to pay in terms of event count is that statistical uncertainties start |
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to become significant. In the future we may consider a different |
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normalization startegy in the low statistics regions. |
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|
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\subsection{Uncertainty from the choice of $M_T$ peak region} |
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IN 7 TEV DATA WE HAD SOME SHAPE DIFFERENCES IN THE MTRANS REGION THAT |
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LED US TO CONSERVATIVELY INCLUDE THIS UNCERTAINTY. WE NEED TO LOOK |
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INTO THIS AGAIN |
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|
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\subsection{Uncertainty on the Wjets cross-section and the rare MC cross-sections} |
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This choice affects the scale factors of Table~\ref{tab:mtpeaksf}. |
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If the $M_T$ peak region is not well modelled, this would introduce an |
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uncertainty. |
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|
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We have tested this possibility by recalculating the post-veto scale factors for a different |
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choice |
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of $M_T$ peak region ($40 < M_T < 100$ GeV instead of the default |
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$50 < M_T < 80$ GeV). This is shown in Table~\ref{tab:mtpeaksf2}. |
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The two results for the scale factors are very compatible. |
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We do not take any systematic uncertainty for this possible effect. |
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|
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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} |
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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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\hline |
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\multicolumn{8}{c}{$50 \leq \mt \leq 80$} \\ |
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\hline |
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$\mu$ pre-veto \mt-SF & $1.02 \pm 0.02$ & $0.95 \pm 0.03$ & $0.90 \pm 0.05$ & $0.98 \pm 0.08$ & $0.97 \pm 0.13$ & $0.85 \pm 0.18$ & $0.92 \pm 0.31$ \\ |
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$\mu$ post-veto \mt-SF & $1.00 \pm 0.02$ & $0.95 \pm 0.03$ & $0.91 \pm 0.05$ & $1.00 \pm 0.09$ & $0.99 \pm 0.13$ & $0.85 \pm 0.18$ & $0.96 \pm 0.31$ \\ |
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\hline |
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$\mu$ veto \mt-SF & $0.98 \pm 0.01$ & $0.99 \pm 0.01$ & $1.01 \pm 0.02$ & $1.02 \pm 0.04$ & $1.02 \pm 0.06$ & $1.00 \pm 0.09$ & $1.04 \pm 0.11$ \\ |
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\hline |
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\hline |
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e pre-veto \mt-SF & $0.95 \pm 0.02$ & $0.95 \pm 0.03$ & $0.94 \pm 0.06$ & $0.85 \pm 0.09$ & $0.84 \pm 0.13$ & $1.05 \pm 0.23$ & $1.04 \pm 0.33$ \\ |
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e post-veto \mt-SF & $0.92 \pm 0.02$ & $0.91 \pm 0.03$ & $0.91 \pm 0.06$ & $0.74 \pm 0.08$ & $0.75 \pm 0.13$ & $0.91 \pm 0.22$ & $1.01 \pm 0.33$ \\ |
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\hline |
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e veto \mt-SF & $0.97 \pm 0.01$ & $0.96 \pm 0.02$ & $0.97 \pm 0.03$ & $0.87 \pm 0.05$ & $0.89 \pm 0.08$ & $0.86 \pm 0.11$ & $0.97 \pm 0.14$ \\ |
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\hline |
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\hline |
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\multicolumn{8}{c}{$40 \leq \mt \leq 100$} \\ |
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\hline |
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$\mu$ pre-veto \mt-SF & $1.02 \pm 0.01$ & $0.97 \pm 0.02$ & $0.91 \pm 0.05$ & $0.95 \pm 0.06$ & $0.97 \pm 0.10$ & $0.80 \pm 0.14$ & $0.74 \pm 0.22$ \\ |
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$\mu$ post-veto \mt-SF & $1.00 \pm 0.01$ & $0.96 \pm 0.02$ & $0.90 \pm 0.04$ & $0.98 \pm 0.07$ & $1.00 \pm 0.11$ & $0.80 \pm 0.15$ & $0.81 \pm 0.24$ \\ |
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\hline |
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$\mu$ veto \mt-SF & $0.98 \pm 0.01$ & $0.99 \pm 0.01$ & $0.99 \pm 0.02$ & $1.03 \pm 0.03$ & $1.03 \pm 0.05$ & $1.01 \pm 0.08$ & $1.09 \pm 0.09$ \\ |
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\hline |
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\hline |
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e pre-veto \mt-SF & $0.97 \pm 0.01$ & $0.93 \pm 0.02$ & $0.94 \pm 0.04$ & $0.81 \pm 0.06$ & $0.86 \pm 0.10$ & $0.95 \pm 0.17$ & $1.06 \pm 0.26$ \\ |
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e post-veto \mt-SF & $0.94 \pm 0.01$ & $0.91 \pm 0.02$ & $0.91 \pm 0.04$ & $0.71 \pm 0.06$ & $0.82 \pm 0.10$ & $0.93 \pm 0.17$ & $1.09 \pm 0.27$ \\ |
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\hline |
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e veto \mt-SF & $0.97 \pm 0.01$ & $0.98 \pm 0.01$ & $0.97 \pm 0.02$ & $0.88 \pm 0.04$ & $0.95 \pm 0.06$ & $0.98 \pm 0.08$ & $1.03 \pm 0.09$ \\ |
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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 veto SF is shown for comparison across channels. |
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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:mtpeaksf2}} |
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\end{center} |
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\end{table} |
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|
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|
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\subsection{Uncertainty on the \wjets\ cross-section and the rare MC cross-sections} |
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These are taken as 50\%, uncorrelated. |
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The primary effect is to introduce a 50\% |
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uncertainty |
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scaled to the number of $t\bar{t}$ events in the peak, the $t\bar{t}$ |
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BG goes down. |
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|
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\subsection{Scale factors for the tail-to-peak ratios for lepton + |
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\subsection{Tail-to-peak ratios for lepton + |
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jets top and W events} |
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These tail-to-peak ratios are described in Section~\ref{sec:ttp}. |
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They are studied in CR1 and CR2. The studies are described |
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in Sections~\ref{sec:cr1} and~\ref{sec:cr2}), respectively, where |
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we also give the uncertainty on the scale factors. |
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The tail-to-peak ratios $R_{top}$ and $R_{wjet}$ are described in Section~\ref{sec:ttp}. |
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The data/MC scale factors are studied in CR1 and CR2 (Sections~\ref{sec:cr1} and~\ref{sec:cr2}). |
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Only the scale factor for \wjets, $SFR_{wjet}$, is used, and its |
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uncertainty is given in Table~\ref{tab:cr1yields}. |
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This uncertainty affects both $R_{wjet}$ and $R_{top}$. |
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The additional systematic uncertainty on $R_{top}$ from the variation between optimistic and pessimistic scenarios is given in Section~\ref{sec:ttp}. |
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|
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|
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\subsection{Uncertainty on extra jet radiation for dilepton |
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background} |
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jet distribution in |
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$t\bar{t} \to$ |
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dilepton MC is rescaled by the factors $K_3$ and $K_4$ to make |
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it agree with the data. The XX\% uncertainties on $K_3$ and $K_4$ |
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it agree with the data. The 3\% uncertainties on $K_3$ and $K_4$ |
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|
comes from data/MC statistics. This |
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result directly in a XX\% uncertainty on the dilepton BG, which is by far |
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results directly in a 3\% uncertainty on the dilepton background, which is by far |
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|
the most important one. |
148 |
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|
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\subsection{Uncertainty from MC statistics} |
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This affects mostly the \ttll\ background estimate, which is taken |
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from |
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Monte Carlo with appropriate correction factors. This uncertainty |
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is negligible in the low \met\ signal regions, and grows to about |
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15\% in SRG. |
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|
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\subsection{Uncertainty on the \ttll\ Acceptance} |
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|
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\subsection{Uncertainty on the \ttll\ Background} |
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\label{sec:ttdilbkgunc} |
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The \ttbar\ background prediction is obtained from MC, with corrections |
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derived from control samples in data. The uncertainty associated with |
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the theoretical modeling of the \ttbar\ production and decay is |
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estimated by comparing the background predictions obtained using |
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the \ttbar\ background is derived from the level of closure of the |
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background prediction in CR4 (Table~\ref{tab:cr4yields}) and |
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CR5 (Table~\ref{tab:cr5yields}). The results from these control region |
164 |
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checks are shown in Figure~\ref{fig:ttdlunc}. The uncertainties assigned |
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to the \ttdl\ background prediction based on these tests are |
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5\% (SRA), 10\% (SRB), 15\% (SRC), 25\% (SRD), 40\% (SRE-G). |
167 |
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|
168 |
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\begin{figure}[hbt] |
169 |
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\begin{center} |
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\includegraphics[width=0.6\linewidth]{plots/ttdilepton_uncertainty.pdf} |
171 |
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\caption{ |
172 |
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\label{fig:ttdlunc}%\protect |
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Results of the comparison of yields in the \mt\ tail comparing the MC prediction (after |
174 |
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applying SFs) to data for CR4 and CR5 for all the signal |
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region requirements considered (A-G). The bands indicate the |
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systematic uncertainties assigned based on these tests, |
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ranging from $5\%$ for SRA to $40\%$ for SRE-G.} |
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\end{center} |
179 |
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\end{figure} |
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|
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|
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\subsubsection{Check of the uncertainty on the \ttll\ Background} |
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|
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We check that the systematic uncertainty assigned to the \ttll\ background prediction |
185 |
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covers the uncertainty associated with |
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the theoretical modeling of the \ttbar\ production and decay |
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by comparing the background predictions obtained using |
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alternative MC samples. It should be noted that the full analysis is |
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performed with the alternative samples under consideration, |
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including the derivation of the various data-to-MC scale factors. |
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|
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\begin{itemize} |
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\item Top mass: The alternative values for the top mass differ |
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from the central value by $5~\GeV$: $m_{\mathrm{top}} = 178.5~\GeV$ and $m_{\mathrm{top}} |
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from the central value by $6~\GeV$: $m_{\mathrm{top}} = 178.5~\GeV$ and $m_{\mathrm{top}} |
196 |
|
= 166.5~\GeV$. |
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\item Jet-parton matching scale: This corresponds to variations in the |
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scale at which the Matrix Element partons from Madgraph are matched |
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value for the scale used is $Q^2 = m_{\mathrm{top}}^2 + |
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\sum_{\mathrm{jets}} \pt^2$. |
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\item Alternative generators: Samples produced with different |
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generators include MC@NLO and Powheg (NLO generators) and |
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Pythia (LO). It may also be noted that MC@NLO uses Herwig6 for the |
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hadronisation, while POWHEG uses Pythia6. |
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generators, Powheg (our default) and Madgraph. |
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\item Modeling of taus: The alternative sample does not include |
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Tauola and is otherwise identical to the Powheg sample. |
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This effect was studied earlier using 7~TeV samples and found to be negligible. |
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\item The PDF uncertainty is estimated following the PDF4LHC |
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recommendations[CITE]. The events are reweighted using alternative |
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recommendations. The events are reweighted using alternative |
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PDF sets for CT10 and MSTW2008 and the uncertainties for each are derived using the |
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alternative eigenvector variations and the ``master equation''. In |
215 |
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addition, the NNPDF2.1 set with 100 replicas. The central value is |
214 |
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alternative eigenvector variations and the ``master equation''. |
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The NNPDF2.1 set with 100 replicas is also used. The central value is |
216 |
|
determined from the mean and the uncertainty is derived from the |
217 |
|
$1\sigma$ range. The overall uncertainty is derived from the envelope of the |
218 |
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alternative predictions and their uncertainties. |
219 |
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This effect was studied earlier using 7~TeV samples and found to be negligible. |
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\end{itemize} |
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|
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– |
|
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\begin{figure}[hbt] |
223 |
|
\begin{center} |
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\includegraphics[width=0.8\linewidth]{plots/n_dl_syst_comp.png} |
224 |
> |
\includegraphics[width=0.5\linewidth]{plots/n_dl_comp_SRA.pdf}% |
225 |
> |
\includegraphics[width=0.5\linewidth]{plots/n_dl_comp_SRB.pdf} |
226 |
> |
\includegraphics[width=0.5\linewidth]{plots/n_dl_comp_SRC.pdf}% |
227 |
> |
\includegraphics[width=0.5\linewidth]{plots/n_dl_comp_SRD.pdf} |
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\includegraphics[width=0.5\linewidth]{plots/n_dl_comp_SRE.pdf} |
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|
\caption{ |
230 |
< |
\label{fig:ttllsyst}%\protect |
230 |
> |
\label{fig:ttllsyst}\protect |
231 |
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Comparison of the \ttll\ central prediction with those using |
232 |
|
alternative MC samples. The blue band corresponds to the |
233 |
|
total statistical error for all data and MC samples. The |
234 |
|
alternative sample predictions are indicated by the |
235 |
|
datapoints. The uncertainties on the alternative predictions |
236 |
|
correspond to the uncorrelated statistical uncertainty from |
237 |
< |
the size of the alternative sample only. |
238 |
< |
[TO BE UPDATED WITH THE LATEST SELECTION AND SFS]} |
237 |
> |
the size of the alternative sample only. Note the |
238 |
> |
suppressed vertical scales.} |
239 |
|
\end{center} |
240 |
|
\end{figure} |
241 |
|
|
242 |
+ |
|
243 |
+ |
\begin{table}[!h] |
244 |
+ |
\begin{center} |
245 |
+ |
{\footnotesize |
246 |
+ |
\begin{tabular}{l||c|c|c|c|c|c|c} |
247 |
+ |
\hline |
248 |
+ |
$\Delta/N$ [\%] & Madgraph & Mass Up & Mass Down & Scale Up & Scale Down & |
249 |
+ |
Match Up & Match Down \\ |
250 |
+ |
\hline |
251 |
+ |
\hline |
252 |
+ |
SRA & $2$ & $2$ & $5$ & $12$ & $7$ & $0$ & $2$ \\ |
253 |
+ |
\hline |
254 |
+ |
SRB & $6$ & $0$ & $6$ & $5$ & $12$ & $5$ & $6$ \\ |
255 |
+ |
\hline |
256 |
+ |
% SRC & $10$ & $3$ & $2$ & $12$ & $14$ & $16$ & $4$ \\ |
257 |
+ |
% \hline |
258 |
+ |
% SRD & $10$ & $6$ & $6$ & $21$ & $15$ & $19$ & $0$ \\ |
259 |
+ |
% \hline |
260 |
+ |
% SRE & $6$ & $17$ & $15$ & $2$ & $12$ & $17$ & $8$ \\ |
261 |
+ |
\hline |
262 |
+ |
\end{tabular}} |
263 |
+ |
\caption{ Relative difference in \ttdl\ predictions for alternative MC |
264 |
+ |
samples in |
265 |
+ |
the higher statistics regions SRA and SRB. These differences |
266 |
+ |
are based on the central values of the predictions. For a fuller |
267 |
+ |
picture |
268 |
+ |
of the situation, including statistical uncertainites, see Fig.~\ref{fig:ttllsyst}. |
269 |
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\label{tab:fracdiff}} |
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\end{center} |
271 |
+ |
\end{table} |
272 |
+ |
|
273 |
+ |
|
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+ |
In Fig.~\ref{fig:ttllsyst} we compare the alternate MC \ttll\ background predictions |
275 |
+ |
for regions A through E. We can make the following observations based |
276 |
+ |
on this Figure. |
277 |
+ |
|
278 |
+ |
\begin{itemize} |
279 |
+ |
\item In the tighter signal regions we are running out of |
280 |
+ |
statistics. |
281 |
+ |
\item Within the limited statistics, there is no evidence that the |
282 |
+ |
situation changes as we go from signal region A to signal region E. |
283 |
+ |
%Therefore, we assess a systematic based on the relatively high |
284 |
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%statistics |
285 |
+ |
%test in signal region A, and apply the same systematic uncertainty |
286 |
+ |
%to all other regions. |
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+ |
\item In signal regions B and above, the uncertainties assigned in Section~\ref{sec:ttdilbkgunc} |
288 |
+ |
fully cover the alternative MC variations. |
289 |
+ |
\item In order to fully (as opposed as 1$\sigma$) cover the |
290 |
+ |
alternative MC variations in region A we would have to take a |
291 |
+ |
systematic |
292 |
+ |
uncertainty of $\approx 10\%$ instead of $5\%$. This would be driven by the |
293 |
+ |
scale up/scale down variations, see Table~\ref{tab:fracdiff}. |
294 |
+ |
\end{itemize} |
295 |
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|
296 |
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\begin{table}[!ht] |
297 |
+ |
\begin{center} |
298 |
+ |
\begin{tabular}{l|c|c} |
299 |
+ |
\hline |
300 |
+ |
Sample |
301 |
+ |
& K3 & K4\\ |
302 |
+ |
\hline |
303 |
+ |
\hline |
304 |
+ |
Powheg & $1.01 \pm 0.03$ & $0.93 \pm 0.04$ \\ |
305 |
+ |
Madgraph & $1.01 \pm 0.04$ & $0.92 \pm 0.04$ \\ |
306 |
+ |
Mass Up & $1.00 \pm 0.04$ & $0.92 \pm 0.04$ \\ |
307 |
+ |
Mass Down & $1.06 \pm 0.04$ & $0.99 \pm 0.05$ \\ |
308 |
+ |
Scale Up & $1.14 \pm 0.04$ & $1.23 \pm 0.06$ \\ |
309 |
+ |
Scale Down & $0.89 \pm 0.03$ & $0.74 \pm 0.03$ \\ |
310 |
+ |
Match Up & $1.02 \pm 0.04$ & $0.97 \pm 0.04$ \\ |
311 |
+ |
Match Down & $1.02 \pm 0.04$ & $0.91 \pm 0.04$ \\ |
312 |
+ |
\hline |
313 |
+ |
\end{tabular} |
314 |
+ |
\caption{$\met>100$ GeV: Data/MC scale factors used to account for differences in the |
315 |
+ |
fraction of events with additional hard jets from radiation in |
316 |
+ |
\ttll\ events. \label{tab:njetskfactors_met100}} |
317 |
+ |
\end{center} |
318 |
+ |
\end{table} |
319 |
+ |
|
320 |
+ |
|
321 |
+ |
However, we have two pieces of information indicating that the |
322 |
+ |
scale up/scale down variations are inconsistent with the data. |
323 |
+ |
These are described below. |
324 |
+ |
|
325 |
+ |
The first piece of information is that the jet multiplicity in the scale |
326 |
+ |
up/scale down sample is the most inconsistent with the data. This is shown |
327 |
+ |
in Table~\ref{tab:njetskfactors_met100}, where we tabulate the |
328 |
+ |
$K_3$ and $K_4$ factors of Section~\ref{sec:jetmultiplicity} for |
329 |
+ |
different \ttbar\ MC samples. The data/MC disagreement in the $N_{jets}$ |
330 |
+ |
distribution |
331 |
+ |
for the scale up/scale down samples is also shown in Fig.~\ref{fig:dileptonnjets_scaleup} |
332 |
+ |
and~\ref{fig:dileptonnjets_scaledw}. This should be compared with the |
333 |
+ |
equivalent $N_{jets}$ plots for the default Powheg MC, see |
334 |
+ |
Fig.~\ref{fig:dileptonnjets}, which agrees much better with data. |
335 |
+ |
|
336 |
+ |
\begin{figure}[hbt] |
337 |
+ |
\begin{center} |
338 |
+ |
\includegraphics[width=0.5\linewidth]{plots/njets_all_met50_mueg_scaleup.pdf} |
339 |
+ |
\includegraphics[width=0.5\linewidth]{plots/njets_all_met50_diel_scaleup.pdf}% |
340 |
+ |
\includegraphics[width=0.5\linewidth]{plots/njets_all_met50_dimu_scaleup.pdf} |
341 |
+ |
\caption{ |
342 |
+ |
\label{fig:dileptonnjets_scaleup}%\protect |
343 |
+ |
SCALE UP: Comparison of the jet multiplicity distribution in data and MC for dilepton events in the \E-\M\ |
344 |
+ |
(top), \E-\E\ (bottom left) and \M-\M\ (bottom right) channels.} |
345 |
+ |
\end{center} |
346 |
+ |
\end{figure} |
347 |
+ |
|
348 |
+ |
\begin{figure}[hbt] |
349 |
+ |
\begin{center} |
350 |
+ |
\includegraphics[width=0.5\linewidth]{plots/njets_all_met50_mueg_scaledw.pdf} |
351 |
+ |
\includegraphics[width=0.5\linewidth]{plots/njets_all_met50_diel_scaledw.pdf}% |
352 |
+ |
\includegraphics[width=0.5\linewidth]{plots/njets_all_met50_dimu_scaledw.pdf} |
353 |
+ |
\caption{ |
354 |
+ |
\label{fig:dileptonnjets_scaledw}%\protect |
355 |
+ |
SCALE DOWN: Comparison of the jet multiplicity distribution in data and MC for dilepton events in the \E-\M\ |
356 |
+ |
(top), \E-\E\ (bottom left) and \M-\M\ (bottom right) channels.} |
357 |
+ |
\end{center} |
358 |
+ |
\end{figure} |
359 |
+ |
|
360 |
+ |
|
361 |
+ |
\clearpage |
362 |
+ |
|
363 |
+ |
The second piece of information is that we have performed closure |
364 |
+ |
tests in CR5 using the alternative MC samples. These are exactly |
365 |
+ |
the same tests as the one performed in Section~\ref{sec:CR5} on the |
366 |
+ |
Powheg sample. As we argued previously, this is a very powerful |
367 |
+ |
test of the background calculation. |
368 |
+ |
The results of this test are summarized in Table~\ref{tab:hugecr5yields}. |
369 |
+ |
Concentrating on the relatively high statistics CR5A region, we see |
370 |
+ |
for all \ttbar\ MC samples except scale up/scale down we obtain |
371 |
+ |
closure within 1$\sigma$. The scale up/scale down tests closes |
372 |
+ |
worse, only within 2$\sigma$. This again is evidence that the |
373 |
+ |
scale up/scale down variations are in disagreement with the data. |
374 |
+ |
|
375 |
+ |
\input{hugeCR5Table.tex} |
376 |
+ |
|
377 |
+ |
Based on the two observations above, we argue that the MC |
378 |
+ |
scale up/scale down variations are too extreme. We feel that |
379 |
+ |
a reasonable choice would be to take one-half of the scale up/scale |
380 |
+ |
down variations in our MC. This factor of 1/2 would then bring |
381 |
+ |
the discrepancy in the closure test of |
382 |
+ |
Table~\ref{tab:hugecr5yields} for the scale up/scale down variations |
383 |
+ |
from about 2$\sigma$ to about 1$\sigma$. |
384 |
+ |
|
385 |
+ |
Then, going back to Table~\ref{tab:fracdiff}, and reducing the scale |
386 |
+ |
up/scale |
387 |
+ |
down variations by a factor 2, we can see that a systematic |
388 |
+ |
uncertainty |
389 |
+ |
of 5\% covers the range of reasonable variations from different MC |
390 |
+ |
models in SRA and SRB. |
391 |
+ |
%The alternative MC models indicate that a 6\% systematic uncertainty |
392 |
+ |
%covers the range of reasonable variations. |
393 |
+ |
Note that this 5\% is also consistent with the level at which we are |
394 |
+ |
able to test the closure of the method with alternative samples in CR5 for the high statistics |
395 |
+ |
regions (Table~\ref{tab:hugecr5yields}). |
396 |
+ |
The range of reasonable variations obtained with the alternative |
397 |
+ |
samples are consistent with the uncertainties assigned for |
398 |
+ |
the \ttll\ background based on the closure of the background |
399 |
+ |
predictions and data in CR4 and CR5. |
400 |
+ |
|
401 |
+ |
|
402 |
+ |
|
403 |
+ |
|
404 |
+ |
|
405 |
+ |
%\begin{table}[!h] |
406 |
+ |
%\begin{center} |
407 |
+ |
%{\footnotesize |
408 |
+ |
%\begin{tabular}{l||c||c|c|c|c|c|c|c} |
409 |
+ |
%\hline |
410 |
+ |
%Sample & Powheg & Madgraph & Mass Up & Mass Down & Scale |
411 |
+ |
%Up & Scale Down & |
412 |
+ |
%Match Up & Match Down \\ |
413 |
+ |
%\hline |
414 |
+ |
%\hline |
415 |
+ |
%SRA & $579 \pm 10$ & $569 \pm 16$ & $591 \pm 18$ & $610 \pm 22$ & $651 \pm 22$ & $537 \pm 16$ & $578 \pm 18$ & $570 \pm 17$ \\ |
416 |
+ |
%\hline |
417 |
+ |
%SRB & $328 \pm 7$ & $307 \pm 11$ & $329 \pm 13$ & $348 \pm 15$ & $344 \pm 15$ & $287 \pm 10$ & $313 \pm 13$ & $307 \pm 12$ \\ |
418 |
+ |
%\hline |
419 |
+ |
%SRC & $111 \pm 4$ & $99 \pm 5$ & $107 \pm 7$ & $113 \pm 8$ & $124 \pm 8$ & $95 \pm 6$ & $93 \pm 6$ & $106 \pm 6$ \\ |
420 |
+ |
%\hline |
421 |
+ |
%SRD & $39 \pm 2$ & $35 \pm 3$ & $41 \pm 4$ & $41 \pm 5$ & $47 \pm 5$ & $33 \pm 3$ & $31 \pm 3$ & $39 \pm 4$ \\ |
422 |
+ |
%\hline |
423 |
+ |
%SRE & $14 \pm 1$ & $15 \pm 2$ & $17 \pm 3$ & $12 \pm 3$ & $15 \pm 3$ & $13 \pm 2$ & $12 \pm 2$ & $16 \pm 2$ \\ |
424 |
+ |
%\hline |
425 |
+ |
%\end{tabular}} |
426 |
+ |
%\caption{ \ttdl\ predictions for alternative MC samples. The uncertainties are statistical only. |
427 |
+ |
%\label{tab:ttdlalt}} |
428 |
+ |
%\end{center} |
429 |
+ |
%\end{table} |
430 |
+ |
|
431 |
+ |
|
432 |
+ |
|
433 |
+ |
|
434 |
+ |
%\begin{table}[!h] |
435 |
+ |
%\begin{center} |
436 |
+ |
%{\footnotesize |
437 |
+ |
%\begin{tabular}{l||c|c|c|c|c|c|c} |
438 |
+ |
%\hline |
439 |
+ |
%$N \sigma$ & Madgraph & Mass Up & Mass Down & Scale Up & Scale Down & |
440 |
+ |
%Match Up & Match Down \\ |
441 |
+ |
%\hline |
442 |
+ |
%\hline |
443 |
+ |
%SRA & $0.38$ & $0.42$ & $1.02$ & $2.34$ & $1.58$ & $0.01$ & $0.33$ \\ |
444 |
+ |
%\hline |
445 |
+ |
%SRB & $1.17$ & $0.07$ & $0.98$ & $0.76$ & $2.29$ & $0.78$ & $1.11$ \\ |
446 |
+ |
%\hline |
447 |
+ |
%SRC & $1.33$ & $0.37$ & $0.26$ & $1.24$ & $1.82$ & $1.97$ & $0.54$ \\ |
448 |
+ |
%\hline |
449 |
+ |
%SRD & $0.82$ & $0.46$ & $0.38$ & $1.32$ & $1.27$ & $1.47$ & $0.00$ \\ |
450 |
+ |
%\hline |
451 |
+ |
%SRE & $0.32$ & $0.75$ & $0.66$ & $0.07$ & $0.66$ & $0.83$ & $0.38$ \\ |
452 |
+ |
%\hline |
453 |
+ |
%\end{tabular}} |
454 |
+ |
%\caption{ N $\sigma$ difference in \ttdl\ predictions for alternative MC samples. |
455 |
+ |
%\label{tab:nsig}} |
456 |
+ |
%\end{center} |
457 |
+ |
%\end{table} |
458 |
+ |
|
459 |
+ |
|
460 |
+ |
%\begin{table}[!h] |
461 |
+ |
%\begin{center} |
462 |
+ |
%\begin{tabular}{l||c|c|c|c} |
463 |
+ |
%\hline |
464 |
+ |
%Av. $\Delta$ Evt. & Alt. Gen. & $\Delta$ Mass & $\Delta$ Scale |
465 |
+ |
%& $\Delta$ Match \\ |
466 |
+ |
%\hline |
467 |
+ |
%\hline |
468 |
+ |
%SRA & $5.0$ ($1\%$) & $9.6$ ($2\%$) & $56.8$ ($10\%$) & $4.4$ ($1\%$) \\ |
469 |
+ |
%\hline |
470 |
+ |
%SRB & $10.4$ ($3\%$) & $9.6$ ($3\%$) & $28.2$ ($9\%$) & $2.8$ ($1\%$) \\ |
471 |
+ |
%\hline |
472 |
+ |
%SRC & $5.7$ ($5\%$) & $3.1$ ($3\%$) & $14.5$ ($13\%$) & $6.4$ ($6\%$) \\ |
473 |
+ |
%\hline |
474 |
+ |
%SRD & $1.9$ ($5\%$) & $0.1$ ($0\%$) & $6.9$ ($18\%$) & $3.6$ ($9\%$) \\ |
475 |
+ |
%\hline |
476 |
+ |
%SRE & $0.5$ ($3\%$) & $2.3$ ($16\%$) & $1.0$ ($7\%$) & $1.8$ ($12\%$) \\ |
477 |
+ |
%\hline |
478 |
+ |
%\end{tabular} |
479 |
+ |
%\caption{ Av. difference in \ttdl\ events for alternative sample pairs. |
480 |
+ |
%\label{tab:devt}} |
481 |
+ |
%\end{center} |
482 |
+ |
%\end{table} |
483 |
+ |
|
484 |
+ |
|
485 |
+ |
|
486 |
|
\clearpage |
487 |
|
|
488 |
|
% |
624 |
|
veto performance is modeled by the Monte Carlo. This uncertainty |
625 |
|
only applies to the fraction of dilepton BG events that have |
626 |
|
a second e/$\mu$ or a one prong $\tau \to h$, with |
627 |
< |
$P_T > 10$ GeV in $|\eta| < 2.4$. This fraction is 1/3 (THIS WAS THE |
628 |
< |
7 TEV NUMBER, CHECK). The uncertainty for these events |
629 |
< |
is XX\% and is obtained from Tag and Probe studies of Section~\ref{sec:trkveto} |
627 |
> |
$P_T > 10$ GeV in $|\eta| < 2.4$. This fraction is about 1/3, see |
628 |
> |
Table~\ref{tab:trueisotrk}. |
629 |
> |
The uncertainty for these events |
630 |
> |
is 6\% and is obtained from tag-and-probe studies, see Section~\ref{sec:trkveto}. |
631 |
> |
|
632 |
> |
\begin{table}[!h] |
633 |
> |
\begin{center} |
634 |
> |
{\footnotesize |
635 |
> |
\begin{tabular}{l||c|c|c|c|c|c|c} |
636 |
> |
\hline |
637 |
> |
Sample & SRA & SRB & SRC & SRD & SRE & SRF & SRG \\ |
638 |
> |
\hline |
639 |
> |
\hline |
640 |
> |
$\mu$ Frac. \ttdl\ with true iso. trk. & $0.32 \pm 0.03$ & $0.30 \pm 0.03$ & $0.32 \pm 0.06$ & $0.34 \pm 0.10$ & $0.35 \pm 0.16$ & $0.40 \pm 0.24$ & $0.50 \pm 0.32$ \\ |
641 |
> |
\hline |
642 |
> |
\hline |
643 |
> |
e Frac. \ttdl\ with true iso. trk. & $0.32 \pm 0.03$ & $0.31 \pm 0.04$ & $0.33 \pm 0.06$ & $0.38 \pm 0.11$ & $0.38 \pm 0.19$ & $0.60 \pm 0.31$ & $0.61 \pm 0.45$ \\ |
644 |
> |
\hline |
645 |
> |
\end{tabular}} |
646 |
> |
\caption{ Fraction of \ttdl\ events with a true isolated track. |
647 |
> |
\label{tab:trueisotrk}} |
648 |
> |
\end{center} |
649 |
> |
\end{table} |
650 |
|
|
651 |
|
\subsubsection{Isolated Track Veto: Tag and Probe Studies} |
652 |
|
\label{sec:trkveto} |
653 |
|
|
300 |
– |
[EVERYTHING IS 7TEV HERE, UPDATE WITH NEW RESULTS \\ |
301 |
– |
ADD TABLE WITH FRACTION OF EVENTS THAT HAVE A TRUE ISOLATED TRACK] |
654 |
|
|
655 |
|
In this section we compare the performance of the isolated track veto in data and MC using tag-and-probe studies |
656 |
|
with samples of Z$\to$ee and Z$\to\mu\mu$. The purpose of these studies is to demonstrate that the efficiency |
657 |
|
to satisfy the isolated track veto requirements is well-reproduced in the MC, since if this were not the case |
658 |
< |
we would need to apply a data-to-MC scale factor in order to correctly predict the \ttll\ background. This study |
658 |
> |
we would need to apply a data-to-MC scale factor in order to correctly |
659 |
> |
predict the \ttll\ background. |
660 |
> |
|
661 |
> |
This study |
662 |
|
addresses possible data vs. MC discrepancies for the {\bf efficiency} to identify (and reject) events with a |
663 |
|
second {\bf genuine} lepton (e, $\mu$, or $\tau\to$1-prong). It does not address possible data vs. MC discrepancies |
664 |
|
in the fake rate for rejecting events without a second genuine lepton; this is handled separately in the top normalization |
665 |
|
procedure by scaling the \ttlj\ contribution to match the data in the \mt\ peak after applying the isolated track veto. |
666 |
+ |
|
667 |
|
Furthermore, we test the data and MC |
668 |
|
isolated track veto efficiencies for electrons and muons since we are using a Z tag-and-probe technique, but we do not |
669 |
|
directly test the performance for hadronic tracks from $\tau$ decays. The performance for hadronic $\tau$ decay products |
676 |
|
Second, hadronic tracks may undergo nuclear interactions and hence their tracks may not be reconstructed. |
677 |
|
As discussed above, independent studies show that the MC reproduces the hadronic tracking efficiency within 4\%, |
678 |
|
leading to a total background uncertainty of less than 0.5\% (after taking into account the fraction of the total background |
679 |
< |
due to hadronic $\tau$ decays with \pt\ $>$ 10 GeV tracks), and we hence regard this effect as neglgigible. |
679 |
> |
due to hadronic $\tau$ decays with \pt\ $>$ 10 GeV tracks), and we hence regard this effect as negligible. |
680 |
|
|
681 |
< |
The tag-and-probe studies are performed in the full 2011 data sample, and compared with the DYJets madgraph sample. |
681 |
> |
The tag-and-probe studies are performed in the full data sample, and compared with the DYJets madgraph sample. |
682 |
|
All events must contain a tag-probe pair (details below) with opposite-sign and satisfying the Z mass requirement 76--106 GeV. |
683 |
|
We compare the distributions of absolute track isolation for probe electrons/muons in data vs. MC. The contributions to |
684 |
|
this isolation sum are from ambient energy in the event from underlying event, pile-up and jet activitiy, and hence do |
700 |
|
|
701 |
|
\begin{itemize} |
702 |
|
\item Electron passes full analysis ID/iso selection |
703 |
< |
\item \pt\ $>$ 30 GeV, $|\eta|<2.5$ |
704 |
< |
|
349 |
< |
\item Matched to 1 of the 2 electron tag-and-probe triggers |
350 |
< |
\begin{itemize} |
351 |
< |
\item \verb=HLT_Ele17_CaloIdVT_CaloIsoVT_TrkIdT_TrkIsoVT_SC8_Mass30_v*= |
352 |
< |
\item \verb=HLT_Ele17_CaloIdVT_CaloIsoVT_TrkIdT_TrkIsoVT_Ele8_Mass30_v*= |
353 |
< |
\end{itemize} |
703 |
> |
\item \pt\ $>$ 30 GeV, $|\eta|<2.1$ |
704 |
> |
\item Matched to the single electron trigger \verb=HLT_Ele27_WP80_v*= |
705 |
|
\end{itemize} |
706 |
|
|
707 |
|
\item{Probe criteria} |
716 |
|
\begin{itemize} |
717 |
|
\item Muon passes full analysis ID/iso selection |
718 |
|
\item \pt\ $>$ 30 GeV, $|\eta|<2.1$ |
719 |
< |
\item Matched to 1 of the 2 electron tag-and-probe triggers |
719 |
> |
\item Matched to 1 of the 2 single muon triggers |
720 |
|
\begin{itemize} |
721 |
|
\item \verb=HLT_IsoMu30_v*= |
722 |
|
\item \verb=HLT_IsoMu30_eta2p1_v*= |
733 |
|
The absolute track isolation distributions for passing probes are displayed in Fig.~\ref{fig:tnp}. In general we observe |
734 |
|
good agreement between data and MC. To be more quantitative, we compare the data vs. MC efficiencies to satisfy |
735 |
|
absolute track isolation requirements varying from $>$ 1 GeV to $>$ 5 GeV, as summarized in Table~\ref{tab:isotrk}. |
736 |
< |
In the $\geq$0 and $\geq$1 jet bins where the efficiencies can be tested with statistical precision, the data and MC |
737 |
< |
efficiencies agree within 7\%, and we apply this as a systematic uncertainty on the isolated track veto efficiency. |
736 |
> |
In the $\geq 0$ and $\geq 1$ jet bins where the efficiencies can be tested with statistical precision, the data and MC |
737 |
> |
efficiencies agree within 6\%, and we apply this as a systematic uncertainty on the isolated track veto efficiency. |
738 |
|
For the higher jet multiplicity bins the statistical precision decreases, but we do not observe any evidence for |
739 |
|
a data vs. MC discrepancy in the isolated track veto efficiency. |
740 |
|
|
745 |
|
|
746 |
|
\begin{figure}[hbt] |
747 |
|
\begin{center} |
748 |
< |
%\includegraphics[width=0.3\linewidth]{plots/el_tkiso_0j.pdf}% |
749 |
< |
%\includegraphics[width=0.3\linewidth]{plots/mu_tkiso_0j.pdf} |
750 |
< |
%\includegraphics[width=0.3\linewidth]{plots/el_tkiso_1j.pdf}% |
751 |
< |
%\includegraphics[width=0.3\linewidth]{plots/mu_tkiso_1j.pdf} |
752 |
< |
%\includegraphics[width=0.3\linewidth]{plots/el_tkiso_2j.pdf}% |
753 |
< |
%\includegraphics[width=0.3\linewidth]{plots/mu_tkiso_2j.pdf} |
754 |
< |
%\includegraphics[width=0.3\linewidth]{plots/el_tkiso_3j.pdf}% |
755 |
< |
%\includegraphics[width=0.3\linewidth]{plots/mu_tkiso_3j.pdf} |
756 |
< |
%\includegraphics[width=0.3\linewidth]{plots/el_tkiso_4j.pdf}% |
757 |
< |
%\includegraphics[width=0.3\linewidth]{plots/mu_tkiso_4j.pdf} |
748 |
> |
\includegraphics[width=0.3\linewidth]{plots/el_tkiso_0j.pdf}% |
749 |
> |
\includegraphics[width=0.3\linewidth]{plots/mu_tkiso_0j.pdf} |
750 |
> |
\includegraphics[width=0.3\linewidth]{plots/el_tkiso_1j.pdf}% |
751 |
> |
\includegraphics[width=0.3\linewidth]{plots/mu_tkiso_1j.pdf} |
752 |
> |
\includegraphics[width=0.3\linewidth]{plots/el_tkiso_2j.pdf}% |
753 |
> |
\includegraphics[width=0.3\linewidth]{plots/mu_tkiso_2j.pdf} |
754 |
> |
\includegraphics[width=0.3\linewidth]{plots/el_tkiso_3j.pdf}% |
755 |
> |
\includegraphics[width=0.3\linewidth]{plots/mu_tkiso_3j.pdf} |
756 |
> |
\includegraphics[width=0.3\linewidth]{plots/el_tkiso_4j.pdf}% |
757 |
> |
\includegraphics[width=0.3\linewidth]{plots/mu_tkiso_4j.pdf} |
758 |
|
\caption{ |
759 |
|
\label{fig:tnp} Comparison of the absolute track isolation in data vs. MC for electrons (left) and muons (right) |
760 |
|
for events with the \njets\ requirement varied from \njets\ $\geq$ 0 to \njets\ $\geq$ 4. |
766 |
|
|
767 |
|
\begin{table}[!ht] |
768 |
|
\begin{center} |
769 |
< |
\caption{\label{tab:isotrk} Comparison of the data vs. MC efficiencies to satisfy the indicated requirements |
770 |
< |
on the absolute track isolation, and the ratio of these two efficiencies. Results are indicated separately for electrons and muons and for various |
771 |
< |
jet multiplicity requirements.} |
772 |
< |
\begin{tabular}{l|l|c|c|c|c|c} |
769 |
> |
\begin{tabular}{l|c|c|c|c|c} |
770 |
> |
|
771 |
> |
%Electrons: |
772 |
> |
%Selection : ((((((((((abs(tagAndProbeMass-91)<15)&&(qProbe*qTag<0))&&((eventSelection&1)==1))&&(abs(tag->eta())<2.1))&&(tag->pt()>30.0))&&(HLT_Ele27_WP80_tag > 0))&&(met<30))&&(nbl==0))&&((leptonSelection&8)==8))&&(probe->pt()>30))&&(drprobe<0.05) |
773 |
> |
%Total MC yields : 2497277 |
774 |
> |
%Total DATA yields : 2649453 |
775 |
> |
%Muons: |
776 |
> |
%Selection : ((((((((((abs(tagAndProbeMass-91)<15)&&(qProbe*qTag<0))&&((eventSelection&2)==2))&&(abs(tag->eta())<2.1))&&(tag->pt()>30.0))&&(HLT_IsoMu24_tag > 0))&&(met<30))&&(nbl==0))&&((leptonSelection&65536)==65536))&&(probe->pt()>30))&&(drprobe<0.05) |
777 |
> |
%Total MC yields : 3749863 |
778 |
> |
%Total DATA yields : 4210022 |
779 |
> |
%Info in <TCanvas::MakeDefCanvas>: created default TCanvas with name c1 |
780 |
> |
%Info in <TCanvas::Print>: pdf file plots/nvtx.pdf has been created |
781 |
> |
|
782 |
|
\hline |
783 |
|
\hline |
784 |
< |
e + $\geq$0 jets & $>$ 1 GeV & $>$ 2 GeV & $>$ 3 GeV & $>$ 4 GeV & $>$ 5 GeV \\ |
784 |
> |
e + $\geq$0 jets & $>$ 1 GeV & $>$ 2 GeV & $>$ 3 GeV & $>$ 4 GeV & $>$ 5 GeV \\ |
785 |
|
\hline |
786 |
< |
data & 0.088 $\pm$ 0.0003 & 0.030 $\pm$ 0.0002 & 0.013 $\pm$ 0.0001 & 0.007 $\pm$ 0.0001 & 0.005 $\pm$ 0.0001 \\ |
787 |
< |
mc & 0.087 $\pm$ 0.0001 & 0.030 $\pm$ 0.0001 & 0.014 $\pm$ 0.0001 & 0.008 $\pm$ 0.0000 & 0.005 $\pm$ 0.0000 \\ |
788 |
< |
data/mc & 1.01 $\pm$ 0.00 & 0.99 $\pm$ 0.01 & 0.97 $\pm$ 0.01 & 0.95 $\pm$ 0.01 & 0.93 $\pm$ 0.01 \\ |
786 |
> |
data & 0.098 $\pm$ 0.0002 & 0.036 $\pm$ 0.0001 & 0.016 $\pm$ 0.0001 & 0.009 $\pm$ 0.0001 & 0.006 $\pm$ 0.0000 \\ |
787 |
> |
mc & 0.097 $\pm$ 0.0002 & 0.034 $\pm$ 0.0001 & 0.016 $\pm$ 0.0001 & 0.009 $\pm$ 0.0001 & 0.005 $\pm$ 0.0000 \\ |
788 |
> |
data/mc & 1.00 $\pm$ 0.00 & 1.04 $\pm$ 0.00 & 1.04 $\pm$ 0.01 & 1.03 $\pm$ 0.01 & 1.02 $\pm$ 0.01 \\ |
789 |
> |
|
790 |
|
\hline |
791 |
|
\hline |
792 |
< |
$\mu$ + $\geq$0 jets & $>$ 1 GeV & $>$ 2 GeV & $>$ 3 GeV & $>$ 4 GeV & $>$ 5 GeV \\ |
792 |
> |
$\mu$ + $\geq$0 jets & $>$ 1 GeV & $>$ 2 GeV & $>$ 3 GeV & $>$ 4 GeV & $>$ 5 GeV \\ |
793 |
|
\hline |
794 |
< |
data & 0.087 $\pm$ 0.0002 & 0.031 $\pm$ 0.0001 & 0.015 $\pm$ 0.0001 & 0.008 $\pm$ 0.0001 & 0.005 $\pm$ 0.0001 \\ |
795 |
< |
mc & 0.085 $\pm$ 0.0001 & 0.030 $\pm$ 0.0001 & 0.014 $\pm$ 0.0000 & 0.008 $\pm$ 0.0000 & 0.005 $\pm$ 0.0000 \\ |
796 |
< |
data/mc & 1.02 $\pm$ 0.00 & 1.06 $\pm$ 0.00 & 1.06 $\pm$ 0.01 & 1.03 $\pm$ 0.01 & 1.02 $\pm$ 0.01 \\ |
794 |
> |
data & 0.094 $\pm$ 0.0001 & 0.034 $\pm$ 0.0001 & 0.016 $\pm$ 0.0001 & 0.009 $\pm$ 0.0000 & 0.006 $\pm$ 0.0000 \\ |
795 |
> |
mc & 0.093 $\pm$ 0.0001 & 0.033 $\pm$ 0.0001 & 0.015 $\pm$ 0.0001 & 0.009 $\pm$ 0.0000 & 0.006 $\pm$ 0.0000 \\ |
796 |
> |
data/mc & 1.01 $\pm$ 0.00 & 1.03 $\pm$ 0.00 & 1.03 $\pm$ 0.01 & 1.03 $\pm$ 0.01 & 1.02 $\pm$ 0.01 \\ |
797 |
> |
|
798 |
|
\hline |
437 |
– |
\hline |
438 |
– |
e + $\geq$1 jets & $>$ 1 GeV & $>$ 2 GeV & $>$ 3 GeV & $>$ 4 GeV & $>$ 5 GeV \\ |
799 |
|
\hline |
800 |
< |
data & 0.099 $\pm$ 0.0008 & 0.038 $\pm$ 0.0005 & 0.019 $\pm$ 0.0004 & 0.011 $\pm$ 0.0003 & 0.008 $\pm$ 0.0002 \\ |
441 |
< |
mc & 0.100 $\pm$ 0.0004 & 0.038 $\pm$ 0.0003 & 0.019 $\pm$ 0.0002 & 0.012 $\pm$ 0.0002 & 0.008 $\pm$ 0.0001 \\ |
442 |
< |
data/mc & 0.99 $\pm$ 0.01 & 1.00 $\pm$ 0.02 & 0.99 $\pm$ 0.02 & 0.98 $\pm$ 0.03 & 0.97 $\pm$ 0.03 \\ |
800 |
> |
e + $\geq$1 jets & $>$ 1 GeV & $>$ 2 GeV & $>$ 3 GeV & $>$ 4 GeV & $>$ 5 GeV \\ |
801 |
|
\hline |
802 |
+ |
data & 0.110 $\pm$ 0.0005 & 0.044 $\pm$ 0.0003 & 0.022 $\pm$ 0.0002 & 0.014 $\pm$ 0.0002 & 0.009 $\pm$ 0.0002 \\ |
803 |
+ |
mc & 0.110 $\pm$ 0.0005 & 0.042 $\pm$ 0.0003 & 0.021 $\pm$ 0.0002 & 0.013 $\pm$ 0.0002 & 0.009 $\pm$ 0.0001 \\ |
804 |
+ |
data/mc & 1.00 $\pm$ 0.01 & 1.04 $\pm$ 0.01 & 1.06 $\pm$ 0.02 & 1.08 $\pm$ 0.02 & 1.06 $\pm$ 0.03 \\ |
805 |
+ |
|
806 |
|
\hline |
445 |
– |
$\mu$ + $\geq$1 jets & $>$ 1 GeV & $>$ 2 GeV & $>$ 3 GeV & $>$ 4 GeV & $>$ 5 GeV \\ |
807 |
|
\hline |
808 |
< |
data & 0.100 $\pm$ 0.0006 & 0.041 $\pm$ 0.0004 & 0.022 $\pm$ 0.0003 & 0.014 $\pm$ 0.0002 & 0.010 $\pm$ 0.0002 \\ |
448 |
< |
mc & 0.099 $\pm$ 0.0004 & 0.039 $\pm$ 0.0002 & 0.020 $\pm$ 0.0002 & 0.013 $\pm$ 0.0001 & 0.009 $\pm$ 0.0001 \\ |
449 |
< |
data/mc & 1.01 $\pm$ 0.01 & 1.05 $\pm$ 0.01 & 1.05 $\pm$ 0.02 & 1.06 $\pm$ 0.02 & 1.06 $\pm$ 0.03 \\ |
808 |
> |
$\mu$ + $\geq$1 jets & $>$ 1 GeV & $>$ 2 GeV & $>$ 3 GeV & $>$ 4 GeV & $>$ 5 GeV \\ |
809 |
|
\hline |
810 |
+ |
data & 0.106 $\pm$ 0.0004 & 0.043 $\pm$ 0.0003 & 0.023 $\pm$ 0.0002 & 0.014 $\pm$ 0.0002 & 0.010 $\pm$ 0.0001 \\ |
811 |
+ |
mc & 0.106 $\pm$ 0.0004 & 0.042 $\pm$ 0.0003 & 0.021 $\pm$ 0.0002 & 0.013 $\pm$ 0.0002 & 0.009 $\pm$ 0.0001 \\ |
812 |
+ |
data/mc & 1.00 $\pm$ 0.01 & 1.04 $\pm$ 0.01 & 1.06 $\pm$ 0.01 & 1.08 $\pm$ 0.02 & 1.07 $\pm$ 0.02 \\ |
813 |
+ |
|
814 |
|
\hline |
452 |
– |
e + $\geq$2 jets & $>$ 1 GeV & $>$ 2 GeV & $>$ 3 GeV & $>$ 4 GeV & $>$ 5 GeV \\ |
815 |
|
\hline |
816 |
< |
data & 0.105 $\pm$ 0.0020 & 0.042 $\pm$ 0.0013 & 0.021 $\pm$ 0.0009 & 0.013 $\pm$ 0.0007 & 0.009 $\pm$ 0.0006 \\ |
455 |
< |
mc & 0.109 $\pm$ 0.0011 & 0.043 $\pm$ 0.0007 & 0.021 $\pm$ 0.0005 & 0.013 $\pm$ 0.0004 & 0.009 $\pm$ 0.0003 \\ |
456 |
< |
data/mc & 0.96 $\pm$ 0.02 & 0.97 $\pm$ 0.03 & 1.00 $\pm$ 0.05 & 1.01 $\pm$ 0.06 & 0.97 $\pm$ 0.08 \\ |
816 |
> |
e + $\geq$2 jets & $>$ 1 GeV & $>$ 2 GeV & $>$ 3 GeV & $>$ 4 GeV & $>$ 5 GeV \\ |
817 |
|
\hline |
818 |
+ |
data & 0.117 $\pm$ 0.0012 & 0.050 $\pm$ 0.0008 & 0.026 $\pm$ 0.0006 & 0.017 $\pm$ 0.0005 & 0.012 $\pm$ 0.0004 \\ |
819 |
+ |
mc & 0.120 $\pm$ 0.0012 & 0.048 $\pm$ 0.0008 & 0.025 $\pm$ 0.0006 & 0.016 $\pm$ 0.0005 & 0.011 $\pm$ 0.0004 \\ |
820 |
+ |
data/mc & 0.97 $\pm$ 0.01 & 1.05 $\pm$ 0.02 & 1.05 $\pm$ 0.03 & 1.07 $\pm$ 0.04 & 1.07 $\pm$ 0.05 \\ |
821 |
+ |
|
822 |
|
\hline |
459 |
– |
$\mu$ + $\geq$2 jets & $>$ 1 GeV & $>$ 2 GeV & $>$ 3 GeV & $>$ 4 GeV & $>$ 5 GeV \\ |
823 |
|
\hline |
824 |
< |
data & 0.106 $\pm$ 0.0016 & 0.045 $\pm$ 0.0011 & 0.025 $\pm$ 0.0008 & 0.016 $\pm$ 0.0007 & 0.012 $\pm$ 0.0006 \\ |
462 |
< |
mc & 0.108 $\pm$ 0.0009 & 0.044 $\pm$ 0.0006 & 0.024 $\pm$ 0.0004 & 0.016 $\pm$ 0.0004 & 0.011 $\pm$ 0.0003 \\ |
463 |
< |
data/mc & 0.98 $\pm$ 0.02 & 1.04 $\pm$ 0.03 & 1.04 $\pm$ 0.04 & 1.04 $\pm$ 0.05 & 1.06 $\pm$ 0.06 \\ |
824 |
> |
$\mu$ + $\geq$2 jets & $>$ 1 GeV & $>$ 2 GeV & $>$ 3 GeV & $>$ 4 GeV & $>$ 5 GeV \\ |
825 |
|
\hline |
826 |
+ |
data & 0.111 $\pm$ 0.0010 & 0.048 $\pm$ 0.0007 & 0.026 $\pm$ 0.0005 & 0.018 $\pm$ 0.0004 & 0.013 $\pm$ 0.0004 \\ |
827 |
+ |
mc & 0.115 $\pm$ 0.0010 & 0.048 $\pm$ 0.0006 & 0.025 $\pm$ 0.0005 & 0.016 $\pm$ 0.0004 & 0.012 $\pm$ 0.0003 \\ |
828 |
+ |
data/mc & 0.97 $\pm$ 0.01 & 1.01 $\pm$ 0.02 & 1.04 $\pm$ 0.03 & 1.09 $\pm$ 0.04 & 1.09 $\pm$ 0.04 \\ |
829 |
+ |
|
830 |
|
\hline |
466 |
– |
e + $\geq$3 jets & $>$ 1 GeV & $>$ 2 GeV & $>$ 3 GeV & $>$ 4 GeV & $>$ 5 GeV \\ |
831 |
|
\hline |
832 |
< |
data & 0.117 $\pm$ 0.0055 & 0.051 $\pm$ 0.0038 & 0.029 $\pm$ 0.0029 & 0.018 $\pm$ 0.0023 & 0.012 $\pm$ 0.0019 \\ |
833 |
< |
mc & 0.120 $\pm$ 0.0031 & 0.052 $\pm$ 0.0021 & 0.027 $\pm$ 0.0015 & 0.018 $\pm$ 0.0012 & 0.013 $\pm$ 0.0011 \\ |
834 |
< |
data/mc & 0.97 $\pm$ 0.05 & 0.99 $\pm$ 0.08 & 1.10 $\pm$ 0.13 & 1.03 $\pm$ 0.15 & 0.91 $\pm$ 0.16 \\ |
832 |
> |
e + $\geq$3 jets & $>$ 1 GeV & $>$ 2 GeV & $>$ 3 GeV & $>$ 4 GeV & $>$ 5 GeV \\ |
833 |
> |
\hline |
834 |
> |
data & 0.123 $\pm$ 0.0031 & 0.058 $\pm$ 0.0022 & 0.034 $\pm$ 0.0017 & 0.023 $\pm$ 0.0014 & 0.017 $\pm$ 0.0012 \\ |
835 |
> |
mc & 0.131 $\pm$ 0.0030 & 0.055 $\pm$ 0.0020 & 0.030 $\pm$ 0.0015 & 0.020 $\pm$ 0.0013 & 0.015 $\pm$ 0.0011 \\ |
836 |
> |
data/mc & 0.94 $\pm$ 0.03 & 1.06 $\pm$ 0.06 & 1.14 $\pm$ 0.08 & 1.16 $\pm$ 0.10 & 1.17 $\pm$ 0.12 \\ |
837 |
> |
|
838 |
|
\hline |
839 |
|
\hline |
840 |
< |
$\mu$ + $\geq$3 jets & $>$ 1 GeV & $>$ 2 GeV & $>$ 3 GeV & $>$ 4 GeV & $>$ 5 GeV \\ |
840 |
> |
$\mu$ + $\geq$3 jets & $>$ 1 GeV & $>$ 2 GeV & $>$ 3 GeV & $>$ 4 GeV & $>$ 5 GeV \\ |
841 |
|
\hline |
842 |
< |
data & 0.111 $\pm$ 0.0044 & 0.050 $\pm$ 0.0030 & 0.029 $\pm$ 0.0024 & 0.019 $\pm$ 0.0019 & 0.014 $\pm$ 0.0017 \\ |
843 |
< |
mc & 0.115 $\pm$ 0.0025 & 0.051 $\pm$ 0.0017 & 0.030 $\pm$ 0.0013 & 0.020 $\pm$ 0.0011 & 0.015 $\pm$ 0.0009 \\ |
844 |
< |
data/mc & 0.97 $\pm$ 0.04 & 0.97 $\pm$ 0.07 & 0.95 $\pm$ 0.09 & 0.97 $\pm$ 0.11 & 0.99 $\pm$ 0.13 \\ |
842 |
> |
data & 0.121 $\pm$ 0.0025 & 0.055 $\pm$ 0.0018 & 0.033 $\pm$ 0.0014 & 0.022 $\pm$ 0.0011 & 0.017 $\pm$ 0.0010 \\ |
843 |
> |
mc & 0.120 $\pm$ 0.0024 & 0.052 $\pm$ 0.0016 & 0.029 $\pm$ 0.0012 & 0.019 $\pm$ 0.0010 & 0.014 $\pm$ 0.0009 \\ |
844 |
> |
data/mc & 1.01 $\pm$ 0.03 & 1.06 $\pm$ 0.05 & 1.14 $\pm$ 0.07 & 1.14 $\pm$ 0.08 & 1.16 $\pm$ 0.10 \\ |
845 |
> |
|
846 |
|
\hline |
847 |
|
\hline |
848 |
< |
e + $\geq$4 jets & $>$ 1 GeV & $>$ 2 GeV & $>$ 3 GeV & $>$ 4 GeV & $>$ 5 GeV \\ |
848 |
> |
e + $\geq$4 jets & $>$ 1 GeV & $>$ 2 GeV & $>$ 3 GeV & $>$ 4 GeV & $>$ 5 GeV \\ |
849 |
|
\hline |
850 |
< |
data & 0.113 $\pm$ 0.0148 & 0.048 $\pm$ 0.0100 & 0.033 $\pm$ 0.0083 & 0.020 $\pm$ 0.0065 & 0.017 $\pm$ 0.0062 \\ |
851 |
< |
mc & 0.146 $\pm$ 0.0092 & 0.064 $\pm$ 0.0064 & 0.034 $\pm$ 0.0048 & 0.024 $\pm$ 0.0040 & 0.021 $\pm$ 0.0037 \\ |
852 |
< |
data/mc & 0.78 $\pm$ 0.11 & 0.74 $\pm$ 0.17 & 0.96 $\pm$ 0.28 & 0.82 $\pm$ 0.30 & 0.85 $\pm$ 0.34 \\ |
850 |
> |
data & 0.129 $\pm$ 0.0080 & 0.070 $\pm$ 0.0061 & 0.044 $\pm$ 0.0049 & 0.031 $\pm$ 0.0042 & 0.021 $\pm$ 0.0034 \\ |
851 |
> |
mc & 0.132 $\pm$ 0.0075 & 0.059 $\pm$ 0.0053 & 0.035 $\pm$ 0.0041 & 0.025 $\pm$ 0.0035 & 0.017 $\pm$ 0.0029 \\ |
852 |
> |
data/mc & 0.98 $\pm$ 0.08 & 1.18 $\pm$ 0.15 & 1.26 $\pm$ 0.20 & 1.24 $\pm$ 0.24 & 1.18 $\pm$ 0.28 \\ |
853 |
> |
|
854 |
|
\hline |
855 |
|
\hline |
856 |
< |
$\mu$ + $\geq$4 jets & $>$ 1 GeV & $>$ 2 GeV & $>$ 3 GeV & $>$ 4 GeV & $>$ 5 GeV \\ |
856 |
> |
$\mu$ + $\geq$4 jets & $>$ 1 GeV & $>$ 2 GeV & $>$ 3 GeV & $>$ 4 GeV & $>$ 5 GeV \\ |
857 |
|
\hline |
858 |
< |
data & 0.130 $\pm$ 0.0128 & 0.052 $\pm$ 0.0085 & 0.028 $\pm$ 0.0063 & 0.019 $\pm$ 0.0052 & 0.019 $\pm$ 0.0052 \\ |
859 |
< |
mc & 0.105 $\pm$ 0.0064 & 0.045 $\pm$ 0.0043 & 0.027 $\pm$ 0.0034 & 0.019 $\pm$ 0.0028 & 0.014 $\pm$ 0.0024 \\ |
860 |
< |
data/mc & 1.23 $\pm$ 0.14 & 1.18 $\pm$ 0.22 & 1.03 $\pm$ 0.27 & 1.01 $\pm$ 0.32 & 1.37 $\pm$ 0.45 \\ |
858 |
> |
data & 0.136 $\pm$ 0.0067 & 0.064 $\pm$ 0.0048 & 0.041 $\pm$ 0.0039 & 0.029 $\pm$ 0.0033 & 0.024 $\pm$ 0.0030 \\ |
859 |
> |
mc & 0.130 $\pm$ 0.0063 & 0.065 $\pm$ 0.0046 & 0.035 $\pm$ 0.0034 & 0.020 $\pm$ 0.0026 & 0.013 $\pm$ 0.0022 \\ |
860 |
> |
data/mc & 1.04 $\pm$ 0.07 & 0.99 $\pm$ 0.10 & 1.19 $\pm$ 0.16 & 1.47 $\pm$ 0.25 & 1.81 $\pm$ 0.37 \\ |
861 |
> |
|
862 |
|
\hline |
863 |
|
\hline |
864 |
|
|
865 |
|
\end{tabular} |
866 |
+ |
\caption{\label{tab:isotrk} Comparison of the data vs. MC efficiencies to satisfy the indicated requirements |
867 |
+ |
on the absolute track isolation, and the ratio of these two efficiencies. Results are indicated separately for electrons and muons and for various |
868 |
+ |
jet multiplicity requirements.} |
869 |
|
\end{center} |
870 |
|
\end{table} |
871 |
|
|
872 |
+ |
\clearpage |
873 |
+ |
\subsection{Summary of uncertainties} |
874 |
+ |
\label{sec:bgunc-bottomline} |
875 |
+ |
|
876 |
+ |
The contribution from each source to the total uncertainty on the background yield is given in Tables~\ref{tab:relativeuncertaintycomponents} and~\ref{tab:uncertaintycomponents} for the relative and absolute uncertainties, respectively. In the low-\met\ regions the dominant uncertainty comes from the top tail-to-peak ratio, $R_{top}$ (Section~\ref{sec:ttp}), while in the high-\met\ regions the \ttll\ systematic uncertainty dominates (Section~\ref{sec:ttdilbkgunc}). |
877 |
+ |
|
878 |
+ |
\input{uncertainties_table.tex} |
879 |
+ |
|
880 |
+ |
|
881 |
+ |
|
882 |
|
|
883 |
|
|
884 |
|
%Figure.~\ref{fig:reliso} compares the relative track isolation |
931 |
|
%END SECTION TO WRITE OUT |
932 |
|
|
933 |
|
|
934 |
< |
{\bf fix me: What you have written in the next paragraph does not explain how $\epsilon_{fake}$ is measured. |
935 |
< |
Why not measure $\epsilon_{fake}$ in the b-veto region?} |
934 |
> |
%{\bf fix me: What you have written in the next paragraph does not |
935 |
> |
%explain how $\epsilon_{fake}$ is measured. |
936 |
> |
%Why not measure $\epsilon_{fake}$ in the b-veto region?} |
937 |
|
|
938 |
|
%A measurement of the $\epsilon_{fake}$ in data is non-trivial. However, it is |
939 |
|
%possible to correct for differences in the $\epsilon_{fake}$ between data and MC by |
961 |
|
% \end{center} |
962 |
|
%\end{figure} |
963 |
|
|
580 |
– |
\subsection{Summary of uncertainties} |
581 |
– |
\label{sec:bgunc-bottomline}. |
964 |
|
|
965 |
< |
THIS NEEDS TO BE WRITTEN |
965 |
> |
|
966 |
> |
% THIS NEEDS TO BE WRITTEN |