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\section{Systematics Uncertainties in the Background Prediction} |
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\label{sec:systematics} |
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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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The methodology for determining the systematics on the background |
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predictions has not changed with respect to the nominal analysis. |
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Because the template method has not changed, the same |
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systematic uncertainty is assessed on this prediction (32\%). |
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The 50\% uncertainty on the WZ and ZZ background is also unchanged. |
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The systematic uncertainty in the OF background prediction based on |
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e$\mu$ events has changed, due to the different composition of this |
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sample after vetoing events containing b-tagged jets. |
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|
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As in the nominal analysis, we do not require the e$\mu$ events |
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to satisfy the dilepton mass requirement and apply a scaling factor K, |
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extracted from MC, to account for the fraction of e$\mu$ events |
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which satisfy the dilepton mass requirement. This procedure is used |
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in order to improve the statistical precision of the OF background estimate. |
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|
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For the selection used in the nominal analysis, |
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the e$\mu$ sample is completely dominated by $t\bar{t}$ |
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events, and we observe that K is statistically consistent with constant with |
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respect to the \MET\ requirement. However, in this analysis, the $t\bar{t}$ |
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background is strongly suppressed by the b-veto, and hence the non-$t\bar{t}$ |
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backgrounds (specifically, $Z\to\tau\tau$ and VV) become more relevant. |
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At low \MET, the $Z\to\tau\tau$ background is pronounced, while $t\bar{t}$ |
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and VV dominate at high \MET\ (see App.~\ref{app:kinemu}). |
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Therefore, the sample composition changes |
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as the \MET\ requirement is varied, and as a result K depends |
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on the \MET\ requirement. |
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|
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We thus measure K in MC separately for each |
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\MET\ requirement, as displayed in Fig.~\ref{fig:kvmet} (left). |
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%The systematic uncertainty on K is determined separately for each \MET\ |
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%requirement by comparing the relative difference in K in data vs. MC. |
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The values of K used are the MC predictions |
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%and the total systematic uncertainty on the OF prediction |
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%as shown in |
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(Table \ref{fig:kvmettable}). |
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The contribution to the total OF prediction systematic uncertainty |
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from K is assessed from the ratio of K in data and MC, |
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shown in Fig.~\ref{fig:kvmet} (right). |
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The ratio is consistent with unity to roughly 17\%, |
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so we take this value as the systematic from K. |
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17\% added in quadrature with 7\% from |
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the electron to muon efficieny ratio |
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(as assessed in the inclusive analysis) |
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yields a total systematic of $\sim$18\% |
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which we round up to 20\%. |
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For \MET\ $>$ 150, there are no OF events in data inside the Z mass window |
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so we take a systematic based on the statistical uncertainty |
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of the MC prediction for K. |
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This value is 25\% for \MET\ $>$ 150 GeV and 60\% for \MET\ $>$ 200 GeV. |
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%Although we cannot check the value of K in data for \MET\ $>$ 150 |
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%because we find no OF events inside the Z mass window for this \MET\ |
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%cut, the overall OF yields with no dilepton mass requirement |
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%agree to roughly 20\% (9 data vs 7.0 $\pm$ 1.1 MC). |
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|
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|
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%Below Old |
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|
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%In reevaluating the systematics on the OF prediction, however, |
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%we observed a different behavior of K as a function of \MET\ |
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%as was seen in the inclusive analysis. |
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|
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%Recall that K is the ratio of the number of \emu\ events |
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%inside the Z window to the total number of \emu\ events. |
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%In the inclusive analysis, it is taken from \ttbar\ MC |
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%and used to scale the inclusive \emu\ yield in data. |
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%The yield scaled by K is then corrected for |
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%the $e$ vs $\mu$ efficiency difference to obtain the |
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%final OF prediction. |
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|
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%Based on the plot in figure \ref{fig:kvmet}, |
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%we choose to use a different |
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%K for each \MET\ cut and assess a systematic uncertainty |
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%on the OF prediction based on the difference between |
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%K in data and MC. |
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%The variation of K as a function of \MET\ is caused |
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%by a change in sample composition with increasing \MET. |
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%At \MET\ $<$ 60 GeV, the contribution of Z plus jets is |
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%not negligible (as it was in the inclusive analysis) |
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%because of the b veto. (See appendix \ref{app:kinemu}.) |
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%At higher \MET, \ttbar\ and diboson backgrounds dominate. |
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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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well as Monte Carlo |
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with a number of correction factors, as described previously. |
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The |
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final uncertainty on the prediction is built up from the uncertainties in these |
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individual |
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components. |
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The calculation is done for each signal |
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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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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 primary effect of an uncertainty on the rare MC cross-section |
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is to introduce an uncertainty in the rare MC background estimate |
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which comes entirely from MC. But this uncertainty also affects, |
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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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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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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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(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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Since |
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the major BG, 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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\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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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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on the $W +$ jets and rare BG |
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background predictions, respectively. However they also |
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have an effect on the other BGs via the $M_T$ peak normalization |
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in a way that tends to reduce the uncertainty. This is easy |
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to understand: if the $W$ cross-section is increased by 50\%, then |
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the $W$ background goes up. But the number of $M_T$ peak events |
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attributed to $t\bar{t}$ goes down, and since the $t\bar{t}$ BG is |
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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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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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|
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\subsection{Uncertainty on extra jet radiation for dilepton |
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background} |
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As discussed in Section~\ref{sec:jetmultiplicity}, the |
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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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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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the most important one. |
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|
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|
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\subsection{Uncertainty on the \ttll\ Acceptance} |
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|
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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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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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The variations considered are |
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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 $m_{\mathrm{top}} |
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= 166.5~\GeV$. |
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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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to Parton Shower partons from Pythia. The nominal value is |
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$x_q>20~\GeV$. The alternative values used are $x_q>10~\GeV$ and |
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$x_q>40~\GeV$. |
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\item Renormalization and factorization scale: The alternative samples |
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correspond to variations in the scale $\times 2$ and $\times 0.5$. The nominal |
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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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\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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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 |
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addition, the NNPDF2.1 set with 100 replicas. The central value is |
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determined from the mean and the uncertainty is derived from the |
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$1\sigma$ range. The overall uncertainty is derived from the envelope of the |
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alternative predictions and their uncertainties. |
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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{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|c} |
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\hline |
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Sample & Powheg & Madgraph & Mass Up & Mass Down & Scale Up & Scale Down & |
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Match Up & Match Down \\ |
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\hline |
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\hline |
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SRA & $579 \pm 10$ & $569 \pm 16$ & $591 \pm 18$ & $610 \pm 22$ & $651 \pm 22$ & $537 \pm 16$ & $578 \pm 18$ & $570 \pm 17$ \\ |
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\hline |
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SRB & $328 \pm 7$ & $307 \pm 11$ & $329 \pm 13$ & $348 \pm 15$ & $344 \pm 15$ & $287 \pm 10$ & $313 \pm 13$ & $307 \pm 12$ \\ |
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\hline |
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SRC & $111 \pm 4$ & $99 \pm 5$ & $107 \pm 7$ & $113 \pm 8$ & $124 \pm 8$ & $95 \pm 6$ & $93 \pm 6$ & $106 \pm 6$ \\ |
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\hline |
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SRD & $39 \pm 2$ & $35 \pm 3$ & $41 \pm 4$ & $41 \pm 5$ & $47 \pm 5$ & $33 \pm 3$ & $31 \pm 3$ & $39 \pm 4$ \\ |
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\hline |
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SRE & $14 \pm 1$ & $15 \pm 2$ & $17 \pm 3$ & $12 \pm 3$ & $15 \pm 3$ & $13 \pm 2$ & $12 \pm 2$ & $16 \pm 2$ \\ |
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\hline |
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\end{tabular}} |
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\caption{ \ttdl\ predictions for alternative MC samples. The uncertainties are statistical only. |
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\label{tab:ttdlalt}} |
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\end{center} |
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\end{table} |
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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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{\footnotesize |
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\begin{tabular}{l||c|c|c|c|c|c|c} |
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\hline |
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$\Delta/N$ [\%] & Madgraph & Mass Up & Mass Down & Scale Up & Scale Down & |
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Match Up & Match Down \\ |
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\hline |
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\hline |
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SRA & $2$ & $2$ & $5$ & $12$ & $7$ & $0$ & $2$ \\ |
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\hline |
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SRB & $6$ & $0$ & $6$ & $5$ & $12$ & $5$ & $6$ \\ |
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\hline |
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SRC & $10$ & $3$ & $2$ & $12$ & $14$ & $16$ & $4$ \\ |
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\hline |
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SRD & $10$ & $6$ & $6$ & $21$ & $15$ & $19$ & $0$ \\ |
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\hline |
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SRE & $6$ & $17$ & $15$ & $2$ & $12$ & $17$ & $8$ \\ |
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\hline |
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\end{tabular}} |
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\caption{ Relative difference in \ttdl\ predictions for alternative MC samples. |
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\label{tab:fracdiff}} |
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\end{center} |
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\end{table} |
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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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{\footnotesize |
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\begin{tabular}{l||c|c|c|c|c|c|c} |
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\hline |
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$N \sigma$ & Madgraph & Mass Up & Mass Down & Scale Up & Scale Down & |
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Match Up & Match Down \\ |
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\hline |
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+ |
\hline |
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SRA & $0.38$ & $0.42$ & $1.02$ & $2.34$ & $1.58$ & $0.01$ & $0.33$ \\ |
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\hline |
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SRB & $1.17$ & $0.07$ & $0.98$ & $0.76$ & $2.29$ & $0.78$ & $1.11$ \\ |
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\hline |
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SRC & $1.33$ & $0.37$ & $0.26$ & $1.24$ & $1.82$ & $1.97$ & $0.54$ \\ |
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\hline |
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SRD & $0.82$ & $0.46$ & $0.38$ & $1.32$ & $1.27$ & $1.47$ & $0.00$ \\ |
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\hline |
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SRE & $0.32$ & $0.75$ & $0.66$ & $0.07$ & $0.66$ & $0.83$ & $0.38$ \\ |
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\hline |
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\end{tabular}} |
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\caption{ N $\sigma$ difference in \ttdl\ predictions for alternative MC samples. |
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\label{tab:nsig}} |
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\end{center} |
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\end{table} |
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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} |
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\hline |
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Av. $\Delta$ Evt. & Alt. Gen. & $\Delta$ Mass & $\Delta$ Scale |
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& $\Delta$ Match \\ |
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\hline |
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+ |
\hline |
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SRA & $5.0$ ($1\%$) & $9.6$ ($2\%$) & $56.8$ ($10\%$) & $4.4$ ($1\%$) \\ |
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\hline |
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SRB & $10.4$ ($3\%$) & $9.6$ ($3\%$) & $28.2$ ($9\%$) & $2.8$ ($1\%$) \\ |
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\hline |
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SRC & $5.7$ ($5\%$) & $3.1$ ($3\%$) & $14.5$ ($13\%$) & $6.4$ ($6\%$) \\ |
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\hline |
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SRD & $1.9$ ($5\%$) & $0.1$ ($0\%$) & $6.9$ ($18\%$) & $3.6$ ($9\%$) \\ |
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\hline |
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SRE & $0.5$ ($3\%$) & $2.3$ ($16\%$) & $1.0$ ($7\%$) & $1.8$ ($12\%$) \\ |
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\hline |
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\end{tabular} |
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\caption{ Av. difference in \ttdl\ events for alternative sample pairs. |
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\label{tab:devt}} |
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\end{center} |
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\end{table} |
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|
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|
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|
\begin{figure}[hbt] |
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|
\begin{center} |
| 241 |
< |
\includegraphics[width=0.48\linewidth]{plots/kvmet_data_ttbm.pdf} |
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< |
\includegraphics[width=0.48\linewidth]{plots/kvmet_ratio.pdf} |
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> |
\includegraphics[width=0.5\linewidth]{plots/n_dl_comp_SRA.pdf}% |
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\includegraphics[width=0.5\linewidth]{plots/n_dl_comp_SRB.pdf} |
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\includegraphics[width=0.5\linewidth]{plots/n_dl_comp_SRC.pdf}% |
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\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{ |
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< |
\label{fig:kvmet}\protect |
| 248 |
< |
The left plot shows |
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< |
K as a function of \MET\ in MC (red) and data (black). |
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< |
The bin low edge corresponds to the \MET\ cut, and the |
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< |
bins are inclusive. |
| 252 |
< |
The MC used is a sum of all SM MC used in the yield table of |
| 253 |
< |
section \ref{sec:yields}. |
| 254 |
< |
The right plot is the ratio of K in data to MC. |
| 255 |
< |
The ratio is fit to a line whose slope is consistent with zero |
| 256 |
< |
(the fit parameters are |
| 257 |
< |
0.9 $\pm$ 0.4 for the intercept and |
| 258 |
< |
0.001 $\pm$ 0.005 for the slope). |
| 259 |
< |
} |
| 260 |
< |
\end{center} |
| 261 |
< |
\end{figure} |
| 247 |
> |
\label{fig:ttllsyst}\protect |
| 248 |
> |
Comparison of the \ttll\ central prediction with those using |
| 249 |
> |
alternative MC samples. The blue band corresponds to the |
| 250 |
> |
total statistical error for all data and MC samples. The |
| 251 |
> |
alternative sample predictions are indicated by the |
| 252 |
> |
datapoints. The uncertainties on the alternative predictions |
| 253 |
> |
correspond to the uncorrelated statistical uncertainty from |
| 254 |
> |
the size of the alternative sample only. |
| 255 |
> |
[TO BE UPDATED WITH THE LATEST SELECTION AND SFS]} |
| 256 |
> |
\end{center} |
| 257 |
> |
\end{figure} |
| 258 |
> |
|
| 259 |
> |
\clearpage |
| 260 |
> |
|
| 261 |
> |
% |
| 262 |
> |
% |
| 263 |
> |
%The methodology for determining the systematics on the background |
| 264 |
> |
%predictions has not changed with respect to the nominal analysis. |
| 265 |
> |
%Because the template method has not changed, the same |
| 266 |
> |
%systematic uncertainty is assessed on this prediction (32\%). |
| 267 |
> |
%The 50\% uncertainty on the WZ and ZZ background is also unchanged. |
| 268 |
> |
%The systematic uncertainty in the OF background prediction based on |
| 269 |
> |
%e$\mu$ events has changed, due to the different composition of this |
| 270 |
> |
%sample after vetoing events containing b-tagged jets. |
| 271 |
> |
% |
| 272 |
> |
%As in the nominal analysis, we do not require the e$\mu$ events |
| 273 |
> |
%to satisfy the dilepton mass requirement and apply a scaling factor K, |
| 274 |
> |
%extracted from MC, to account for the fraction of e$\mu$ events |
| 275 |
> |
%which satisfy the dilepton mass requirement. This procedure is used |
| 276 |
> |
%in order to improve the statistical precision of the OF background estimate. |
| 277 |
> |
% |
| 278 |
> |
%For the selection used in the nominal analysis, |
| 279 |
> |
%the e$\mu$ sample is completely dominated by $t\bar{t}$ |
| 280 |
> |
%events, and we observe that K is statistically consistent with constant with |
| 281 |
> |
%respect to the \MET\ requirement. However, in this analysis, the $t\bar{t}$ |
| 282 |
> |
%background is strongly suppressed by the b-veto, and hence the non-$t\bar{t}$ |
| 283 |
> |
%backgrounds (specifically, $Z\to\tau\tau$ and VV) become more relevant. |
| 284 |
> |
%At low \MET, the $Z\to\tau\tau$ background is pronounced, while $t\bar{t}$ |
| 285 |
> |
%and VV dominate at high \MET\ (see App.~\ref{app:kinemu}). |
| 286 |
> |
%Therefore, the sample composition changes |
| 287 |
> |
%as the \MET\ requirement is varied, and as a result K depends |
| 288 |
> |
%on the \MET\ requirement. |
| 289 |
> |
% |
| 290 |
> |
%We thus measure K in MC separately for each |
| 291 |
> |
%\MET\ requirement, as displayed in Fig.~\ref{fig:kvmet} (left). |
| 292 |
> |
%%The systematic uncertainty on K is determined separately for each \MET\ |
| 293 |
> |
%%requirement by comparing the relative difference in K in data vs. MC. |
| 294 |
> |
%The values of K used are the MC predictions |
| 295 |
> |
%%and the total systematic uncertainty on the OF prediction |
| 296 |
> |
%%as shown in |
| 297 |
> |
%(Table \ref{fig:kvmettable}). |
| 298 |
> |
%The contribution to the total OF prediction systematic uncertainty |
| 299 |
> |
%from K is assessed from the ratio of K in data and MC, |
| 300 |
> |
%shown in Fig.~\ref{fig:kvmet} (right). |
| 301 |
> |
%The ratio is consistent with unity to roughly 17\%, |
| 302 |
> |
%so we take this value as the systematic from K. |
| 303 |
> |
%17\% added in quadrature with 7\% from |
| 304 |
> |
%the electron to muon efficieny ratio |
| 305 |
> |
%(as assessed in the inclusive analysis) |
| 306 |
> |
%yields a total systematic of $\sim$18\% |
| 307 |
> |
%which we round up to 20\%. |
| 308 |
> |
%For \MET\ $>$ 150, there are no OF events in data inside the Z mass window |
| 309 |
> |
%so we take a systematic based on the statistical uncertainty |
| 310 |
> |
%of the MC prediction for K. |
| 311 |
> |
%This value is 25\% for \MET\ $>$ 150 GeV and 60\% for \MET\ $>$ 200 GeV. |
| 312 |
> |
%%Although we cannot check the value of K in data for \MET\ $>$ 150 |
| 313 |
> |
%%because we find no OF events inside the Z mass window for this \MET\ |
| 314 |
> |
%%cut, the overall OF yields with no dilepton mass requirement |
| 315 |
> |
%%agree to roughly 20\% (9 data vs 7.0 $\pm$ 1.1 MC). |
| 316 |
> |
% |
| 317 |
> |
% |
| 318 |
> |
%%Below Old |
| 319 |
> |
% |
| 320 |
> |
%%In reevaluating the systematics on the OF prediction, however, |
| 321 |
> |
%%we observed a different behavior of K as a function of \MET\ |
| 322 |
> |
%%as was seen in the inclusive analysis. |
| 323 |
> |
% |
| 324 |
> |
%%Recall that K is the ratio of the number of \emu\ events |
| 325 |
> |
%%inside the Z window to the total number of \emu\ events. |
| 326 |
> |
%%In the inclusive analysis, it is taken from \ttbar\ MC |
| 327 |
> |
%%and used to scale the inclusive \emu\ yield in data. |
| 328 |
> |
%%The yield scaled by K is then corrected for |
| 329 |
> |
%%the $e$ vs $\mu$ efficiency difference to obtain the |
| 330 |
> |
%%final OF prediction. |
| 331 |
> |
% |
| 332 |
> |
%%Based on the plot in figure \ref{fig:kvmet}, |
| 333 |
> |
%%we choose to use a different |
| 334 |
> |
%%K for each \MET\ cut and assess a systematic uncertainty |
| 335 |
> |
%%on the OF prediction based on the difference between |
| 336 |
> |
%%K in data and MC. |
| 337 |
> |
%%The variation of K as a function of \MET\ is caused |
| 338 |
> |
%%by a change in sample composition with increasing \MET. |
| 339 |
> |
%%At \MET\ $<$ 60 GeV, the contribution of Z plus jets is |
| 340 |
> |
%%not negligible (as it was in the inclusive analysis) |
| 341 |
> |
%%because of the b veto. (See appendix \ref{app:kinemu}.) |
| 342 |
> |
%%At higher \MET, \ttbar\ and diboson backgrounds dominate. |
| 343 |
> |
% |
| 344 |
> |
% |
| 345 |
> |
% |
| 346 |
> |
% |
| 347 |
> |
%\begin{figure}[hbt] |
| 348 |
> |
% \begin{center} |
| 349 |
> |
% \includegraphics[width=0.48\linewidth]{plots/kvmet_data_ttbm.pdf} |
| 350 |
> |
% \includegraphics[width=0.48\linewidth]{plots/kvmet_ratio.pdf} |
| 351 |
> |
% \caption{ |
| 352 |
> |
% \label{fig:kvmet}\protect |
| 353 |
> |
% The left plot shows |
| 354 |
> |
% K as a function of \MET\ in MC (red) and data (black). |
| 355 |
> |
% The bin low edge corresponds to the \MET\ cut, and the |
| 356 |
> |
% bins are inclusive. |
| 357 |
> |
% The MC used is a sum of all SM MC used in the yield table of |
| 358 |
> |
% section \ref{sec:yields}. |
| 359 |
> |
% The right plot is the ratio of K in data to MC. |
| 360 |
> |
% The ratio is fit to a line whose slope is consistent with zero |
| 361 |
> |
% (the fit parameters are |
| 362 |
> |
% 0.9 $\pm$ 0.4 for the intercept and |
| 363 |
> |
% 0.001 $\pm$ 0.005 for the slope). |
| 364 |
> |
% } |
| 365 |
> |
% \end{center} |
| 366 |
> |
%\end{figure} |
| 367 |
> |
% |
| 368 |
> |
% |
| 369 |
> |
% |
| 370 |
> |
%\begin{table}[htb] |
| 371 |
> |
%\begin{center} |
| 372 |
> |
%\caption{\label{fig:kvmettable} The values of K used in the OF background prediction. |
| 373 |
> |
%The uncertainties shown are the total relative systematic used for the OF prediction, |
| 374 |
> |
%which is the systematic uncertainty from K added in quadrature with |
| 375 |
> |
%a 7\% uncertainty from the electron to muon efficieny ratio as assessed in the |
| 376 |
> |
%inclusive analysis. |
| 377 |
> |
%} |
| 378 |
> |
%\begin{tabular}{lcc} |
| 379 |
> |
%\hline |
| 380 |
> |
%\MET\ Cut & K & Relative Systematic \\ |
| 381 |
> |
%\hline |
| 382 |
> |
%%the met zero row is used only for normalization of the money plot. |
| 383 |
> |
%%0 & 0.1 & \\ |
| 384 |
> |
%30 & 0.12 & 20\% \\ |
| 385 |
> |
%60 & 0.13 & 20\% \\ |
| 386 |
> |
%80 & 0.12 & 20\% \\ |
| 387 |
> |
%100 & 0.12 & 20\% \\ |
| 388 |
> |
%150 & 0.09 & 25\% \\ |
| 389 |
> |
%200 & 0.06 & 60\% \\ |
| 390 |
> |
%\hline |
| 391 |
> |
%\end{tabular} |
| 392 |
> |
%\end{center} |
| 393 |
> |
%\end{table} |
| 394 |
> |
|
| 395 |
> |
\subsection{Uncertainty from the isolated track veto} |
| 396 |
> |
This is the uncertainty associated with how well the isolated track |
| 397 |
> |
veto performance is modeled by the Monte Carlo. This uncertainty |
| 398 |
> |
only applies to the fraction of dilepton BG events that have |
| 399 |
> |
a second e/$\mu$ or a one prong $\tau \to h$, with |
| 400 |
> |
$P_T > 10$ GeV in $|\eta| < 2.4$. This fraction is 1/3 (THIS WAS THE |
| 401 |
> |
7 TEV NUMBER, CHECK). The uncertainty for these events |
| 402 |
> |
is XX\% and is obtained from Tag and Probe studies of Section~\ref{sec:trkveto} |
| 403 |
|
|
| 404 |
+ |
\subsubsection{Isolated Track Veto: Tag and Probe Studies} |
| 405 |
+ |
\label{sec:trkveto} |
| 406 |
|
|
| 407 |
+ |
[EVERYTHING IS 7TEV HERE, UPDATE WITH NEW RESULTS \\ |
| 408 |
+ |
ADD TABLE WITH FRACTION OF EVENTS THAT HAVE A TRUE ISOLATED TRACK] |
| 409 |
|
|
| 410 |
< |
\begin{table}[htb] |
| 410 |
> |
\begin{table}[!h] |
| 411 |
|
\begin{center} |
| 412 |
< |
\caption{\label{fig:kvmettable} The values of K used in the OF background prediction. |
| 413 |
< |
The uncertainties shown are the total relative systematic used for the OF prediction, |
| 115 |
< |
which is the systematic uncertainty from K added in quadrature with |
| 116 |
< |
a 7\% uncertainty from the electron to muon efficieny ratio as assessed in the |
| 117 |
< |
inclusive analysis. |
| 118 |
< |
} |
| 119 |
< |
\begin{tabular}{lcc} |
| 120 |
< |
\hline |
| 121 |
< |
\MET\ Cut & K & Relative Systematic \\ |
| 122 |
< |
\hline |
| 123 |
< |
%the met zero row is used only for normalization of the money plot. |
| 124 |
< |
%0 & 0.1 & \\ |
| 125 |
< |
30 & 0.12 & 20\% \\ |
| 126 |
< |
60 & 0.13 & 20\% \\ |
| 127 |
< |
80 & 0.12 & 20\% \\ |
| 128 |
< |
100 & 0.12 & 20\% \\ |
| 129 |
< |
150 & 0.09 & 25\% \\ |
| 130 |
< |
200 & 0.06 & 60\% \\ |
| 412 |
> |
{\footnotesize |
| 413 |
> |
\begin{tabular}{l||c|c|c|c|c|c|c} |
| 414 |
|
\hline |
| 415 |
+ |
Sample & SRA & SRB & SRC & SRD & SRE & SRF & SRG \\ |
| 416 |
+ |
\hline |
| 417 |
+ |
\hline |
| 418 |
+ |
$\mu$ Frac. \ttdl\ with true iso. trk. & $0.32 \pm 0.03$ & $0.30 \pm 0.03$ & $0.32 \pm 0.06$ & $0.34 \pm 0.10$ & $0.35 \pm 0.16$ & $0.40 \pm 0.24$ & $0.50 \pm 0.32$ \\ |
| 419 |
+ |
\hline |
| 420 |
+ |
\hline |
| 421 |
+ |
e Frac. \ttdl\ with true iso. trk. & $0.32 \pm 0.03$ & $0.31 \pm 0.04$ & $0.33 \pm 0.06$ & $0.38 \pm 0.11$ & $0.38 \pm 0.19$ & $0.60 \pm 0.31$ & $0.61 \pm 0.45$ \\ |
| 422 |
+ |
\hline |
| 423 |
+ |
\end{tabular}} |
| 424 |
+ |
\caption{ Fraction of \ttdl\ events with a true isolated track. |
| 425 |
+ |
\label{tab:trueisotrk}} |
| 426 |
+ |
\end{center} |
| 427 |
+ |
\end{table} |
| 428 |
+ |
|
| 429 |
+ |
|
| 430 |
+ |
In this section we compare the performance of the isolated track veto in data and MC using tag-and-probe studies |
| 431 |
+ |
with samples of Z$\to$ee and Z$\to\mu\mu$. The purpose of these studies is to demonstrate that the efficiency |
| 432 |
+ |
to satisfy the isolated track veto requirements is well-reproduced in the MC, since if this were not the case |
| 433 |
+ |
we would need to apply a data-to-MC scale factor in order to correctly predict the \ttll\ background. This study |
| 434 |
+ |
addresses possible data vs. MC discrepancies for the {\bf efficiency} to identify (and reject) events with a |
| 435 |
+ |
second {\bf genuine} lepton (e, $\mu$, or $\tau\to$1-prong). It does not address possible data vs. MC discrepancies |
| 436 |
+ |
in the fake rate for rejecting events without a second genuine lepton; this is handled separately in the top normalization |
| 437 |
+ |
procedure by scaling the \ttlj\ contribution to match the data in the \mt\ peak after applying the isolated track veto. |
| 438 |
+ |
Furthermore, we test the data and MC |
| 439 |
+ |
isolated track veto efficiencies for electrons and muons since we are using a Z tag-and-probe technique, but we do not |
| 440 |
+ |
directly test the performance for hadronic tracks from $\tau$ decays. The performance for hadronic $\tau$ decay products |
| 441 |
+ |
may differ from that of electrons and muons for two reasons. First, the $\tau$ may decay to a hadronic track plus one |
| 442 |
+ |
or two $\pi^0$'s, which may decay to $\gamma\gamma$ followed by a photon conversion. As shown in Figure~\ref{fig:absiso}, |
| 443 |
+ |
the isolation distribution for charged tracks from $\tau$ decays that are not produced in association with $\pi^0$s are |
| 444 |
+ |
consistent with that from $\E$s and $\M$s. Since events from single prong $\tau$ decays produced in association with |
| 445 |
+ |
$\pi^0$s comprise a small fraction of the total sample, and since the kinematics of $\tau$, $\pi^0$ and $\gamma\to e^+e^-$ |
| 446 |
+ |
decays are well-understood, we currently demonstrate that the isolation is well-reproduced for electrons and muons only. |
| 447 |
+ |
Second, hadronic tracks may undergo nuclear interactions and hence their tracks may not be reconstructed. |
| 448 |
+ |
As discussed above, independent studies show that the MC reproduces the hadronic tracking efficiency within 4\%, |
| 449 |
+ |
leading to a total background uncertainty of less than 0.5\% (after taking into account the fraction of the total background |
| 450 |
+ |
due to hadronic $\tau$ decays with \pt\ $>$ 10 GeV tracks), and we hence regard this effect as neglgigible. |
| 451 |
+ |
|
| 452 |
+ |
The tag-and-probe studies are performed in the full 2011 data sample, and compared with the DYJets madgraph sample. |
| 453 |
+ |
All events must contain a tag-probe pair (details below) with opposite-sign and satisfying the Z mass requirement 76--106 GeV. |
| 454 |
+ |
We compare the distributions of absolute track isolation for probe electrons/muons in data vs. MC. The contributions to |
| 455 |
+ |
this isolation sum are from ambient energy in the event from underlying event, pile-up and jet activitiy, and hence do |
| 456 |
+ |
not depend on the \pt\ of the probe lepton. We therefore restrict the probe \pt\ to be $>$ 30 GeV in order to suppress |
| 457 |
+ |
fake backgrounds with steeply-falling \pt\ spectra. To suppress non-Z backgrounds (in particular \ttbar) we require |
| 458 |
+ |
\met\ $<$ 30 GeV and 0 b-tagged events. |
| 459 |
+ |
The specific criteria for tags and probes for electrons and muons are: |
| 460 |
+ |
|
| 461 |
+ |
%We study the isolated track veto efficiency in bins of \njets. |
| 462 |
+ |
%We are interested in events with at least 4 jets to emulate the hadronic activity in our signal sample. However since |
| 463 |
+ |
%there are limited statistics for Z + $\geq$4 jet events, we study the isolated track performance in events with |
| 464 |
+ |
|
| 465 |
+ |
|
| 466 |
+ |
\begin{itemize} |
| 467 |
+ |
\item{Electrons} |
| 468 |
+ |
|
| 469 |
+ |
\begin{itemize} |
| 470 |
+ |
\item{Tag criteria} |
| 471 |
+ |
|
| 472 |
+ |
\begin{itemize} |
| 473 |
+ |
\item Electron passes full analysis ID/iso selection |
| 474 |
+ |
\item \pt\ $>$ 30 GeV, $|\eta|<2.1$ |
| 475 |
+ |
\item Matched to the single electron trigger \verb=HLT_Ele27_WP80_v*= |
| 476 |
+ |
\end{itemize} |
| 477 |
+ |
|
| 478 |
+ |
\item{Probe criteria} |
| 479 |
+ |
\begin{itemize} |
| 480 |
+ |
\item Electron passes full analysis ID selection |
| 481 |
+ |
\item \pt\ $>$ 30 GeV |
| 482 |
+ |
\end{itemize} |
| 483 |
+ |
\end{itemize} |
| 484 |
+ |
\item{Muons} |
| 485 |
+ |
\begin{itemize} |
| 486 |
+ |
\item{Tag criteria} |
| 487 |
+ |
\begin{itemize} |
| 488 |
+ |
\item Muon passes full analysis ID/iso selection |
| 489 |
+ |
\item \pt\ $>$ 30 GeV, $|\eta|<2.1$ |
| 490 |
+ |
\item Matched to 1 of the 2 single muon triggers |
| 491 |
+ |
\begin{itemize} |
| 492 |
+ |
\item \verb=HLT_IsoMu30_v*= |
| 493 |
+ |
\item \verb=HLT_IsoMu30_eta2p1_v*= |
| 494 |
+ |
\end{itemize} |
| 495 |
+ |
\end{itemize} |
| 496 |
+ |
\item{Probe criteria} |
| 497 |
+ |
\begin{itemize} |
| 498 |
+ |
\item Muon passes full analysis ID selection |
| 499 |
+ |
\item \pt\ $>$ 30 GeV |
| 500 |
+ |
\end{itemize} |
| 501 |
+ |
\end{itemize} |
| 502 |
+ |
\end{itemize} |
| 503 |
+ |
|
| 504 |
+ |
The absolute track isolation distributions for passing probes are displayed in Fig.~\ref{fig:tnp}. In general we observe |
| 505 |
+ |
good agreement between data and MC. To be more quantitative, we compare the data vs. MC efficiencies to satisfy |
| 506 |
+ |
absolute track isolation requirements varying from $>$ 1 GeV to $>$ 5 GeV, as summarized in Table~\ref{tab:isotrk}. |
| 507 |
+ |
In the $\geq$0 and $\geq$1 jet bins where the efficiencies can be tested with statistical precision, the data and MC |
| 508 |
+ |
efficiencies agree within 6\%, and we apply this as a systematic uncertainty on the isolated track veto efficiency. |
| 509 |
+ |
For the higher jet multiplicity bins the statistical precision decreases, but we do not observe any evidence for |
| 510 |
+ |
a data vs. MC discrepancy in the isolated track veto efficiency. |
| 511 |
+ |
|
| 512 |
+ |
|
| 513 |
+ |
%This is because our analysis requirement is relative track isolation $<$ 0.1, and m |
| 514 |
+ |
%This requirement is chosen because most of the tracks rejected by the isolated |
| 515 |
+ |
%track veto have a \pt\ near the 10 GeV threshold, and our analysis requirement is relative track isolation $<$ 1 GeV. |
| 516 |
+ |
|
| 517 |
+ |
\begin{figure}[hbt] |
| 518 |
+ |
\begin{center} |
| 519 |
+ |
\includegraphics[width=0.3\linewidth]{plots/el_tkiso_0j.pdf}% |
| 520 |
+ |
\includegraphics[width=0.3\linewidth]{plots/mu_tkiso_0j.pdf} |
| 521 |
+ |
\includegraphics[width=0.3\linewidth]{plots/el_tkiso_1j.pdf}% |
| 522 |
+ |
\includegraphics[width=0.3\linewidth]{plots/mu_tkiso_1j.pdf} |
| 523 |
+ |
\includegraphics[width=0.3\linewidth]{plots/el_tkiso_2j.pdf}% |
| 524 |
+ |
\includegraphics[width=0.3\linewidth]{plots/mu_tkiso_2j.pdf} |
| 525 |
+ |
\includegraphics[width=0.3\linewidth]{plots/el_tkiso_3j.pdf}% |
| 526 |
+ |
\includegraphics[width=0.3\linewidth]{plots/mu_tkiso_3j.pdf} |
| 527 |
+ |
\includegraphics[width=0.3\linewidth]{plots/el_tkiso_4j.pdf}% |
| 528 |
+ |
\includegraphics[width=0.3\linewidth]{plots/mu_tkiso_4j.pdf} |
| 529 |
+ |
\caption{ |
| 530 |
+ |
\label{fig:tnp} Comparison of the absolute track isolation in data vs. MC for electrons (left) and muons (right) |
| 531 |
+ |
for events with the \njets\ requirement varied from \njets\ $\geq$ 0 to \njets\ $\geq$ 4. |
| 532 |
+ |
} |
| 533 |
+ |
\end{center} |
| 534 |
+ |
\end{figure} |
| 535 |
+ |
|
| 536 |
+ |
\clearpage |
| 537 |
+ |
|
| 538 |
+ |
\begin{table}[!ht] |
| 539 |
+ |
\begin{center} |
| 540 |
+ |
\caption{\label{tab:isotrk} Comparison of the data vs. MC efficiencies to satisfy the indicated requirements |
| 541 |
+ |
on the absolute track isolation, and the ratio of these two efficiencies. Results are indicated separately for electrons and muons and for various |
| 542 |
+ |
jet multiplicity requirements.} |
| 543 |
+ |
\begin{tabular}{l|c|c|c|c|c} |
| 544 |
+ |
|
| 545 |
+ |
%Electrons: |
| 546 |
+ |
%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) |
| 547 |
+ |
%Total MC yields : 2497277 |
| 548 |
+ |
%Total DATA yields : 2649453 |
| 549 |
+ |
%Muons: |
| 550 |
+ |
%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) |
| 551 |
+ |
%Total MC yields : 3749863 |
| 552 |
+ |
%Total DATA yields : 4210022 |
| 553 |
+ |
%Info in <TCanvas::MakeDefCanvas>: created default TCanvas with name c1 |
| 554 |
+ |
%Info in <TCanvas::Print>: pdf file plots/nvtx.pdf has been created |
| 555 |
+ |
|
| 556 |
+ |
\hline |
| 557 |
+ |
\hline |
| 558 |
+ |
e + $\geq$0 jets & $>$ 1 GeV & $>$ 2 GeV & $>$ 3 GeV & $>$ 4 GeV & $>$ 5 GeV \\ |
| 559 |
+ |
\hline |
| 560 |
+ |
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 \\ |
| 561 |
+ |
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 \\ |
| 562 |
+ |
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 \\ |
| 563 |
+ |
|
| 564 |
+ |
\hline |
| 565 |
+ |
\hline |
| 566 |
+ |
$\mu$ + $\geq$0 jets & $>$ 1 GeV & $>$ 2 GeV & $>$ 3 GeV & $>$ 4 GeV & $>$ 5 GeV \\ |
| 567 |
+ |
\hline |
| 568 |
+ |
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 \\ |
| 569 |
+ |
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 \\ |
| 570 |
+ |
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 \\ |
| 571 |
+ |
|
| 572 |
+ |
\hline |
| 573 |
+ |
\hline |
| 574 |
+ |
e + $\geq$1 jets & $>$ 1 GeV & $>$ 2 GeV & $>$ 3 GeV & $>$ 4 GeV & $>$ 5 GeV \\ |
| 575 |
+ |
\hline |
| 576 |
+ |
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 \\ |
| 577 |
+ |
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 \\ |
| 578 |
+ |
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 \\ |
| 579 |
+ |
|
| 580 |
+ |
\hline |
| 581 |
+ |
\hline |
| 582 |
+ |
$\mu$ + $\geq$1 jets & $>$ 1 GeV & $>$ 2 GeV & $>$ 3 GeV & $>$ 4 GeV & $>$ 5 GeV \\ |
| 583 |
+ |
\hline |
| 584 |
+ |
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 \\ |
| 585 |
+ |
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 \\ |
| 586 |
+ |
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 \\ |
| 587 |
+ |
|
| 588 |
+ |
\hline |
| 589 |
+ |
\hline |
| 590 |
+ |
e + $\geq$2 jets & $>$ 1 GeV & $>$ 2 GeV & $>$ 3 GeV & $>$ 4 GeV & $>$ 5 GeV \\ |
| 591 |
+ |
\hline |
| 592 |
+ |
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 \\ |
| 593 |
+ |
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 \\ |
| 594 |
+ |
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 \\ |
| 595 |
+ |
|
| 596 |
+ |
\hline |
| 597 |
+ |
\hline |
| 598 |
+ |
$\mu$ + $\geq$2 jets & $>$ 1 GeV & $>$ 2 GeV & $>$ 3 GeV & $>$ 4 GeV & $>$ 5 GeV \\ |
| 599 |
+ |
\hline |
| 600 |
+ |
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 \\ |
| 601 |
+ |
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 \\ |
| 602 |
+ |
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 \\ |
| 603 |
+ |
|
| 604 |
+ |
\hline |
| 605 |
+ |
\hline |
| 606 |
+ |
e + $\geq$3 jets & $>$ 1 GeV & $>$ 2 GeV & $>$ 3 GeV & $>$ 4 GeV & $>$ 5 GeV \\ |
| 607 |
+ |
\hline |
| 608 |
+ |
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 \\ |
| 609 |
+ |
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 \\ |
| 610 |
+ |
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 \\ |
| 611 |
+ |
|
| 612 |
+ |
\hline |
| 613 |
+ |
\hline |
| 614 |
+ |
$\mu$ + $\geq$3 jets & $>$ 1 GeV & $>$ 2 GeV & $>$ 3 GeV & $>$ 4 GeV & $>$ 5 GeV \\ |
| 615 |
+ |
\hline |
| 616 |
+ |
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 \\ |
| 617 |
+ |
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 \\ |
| 618 |
+ |
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 \\ |
| 619 |
+ |
|
| 620 |
+ |
\hline |
| 621 |
+ |
\hline |
| 622 |
+ |
e + $\geq$4 jets & $>$ 1 GeV & $>$ 2 GeV & $>$ 3 GeV & $>$ 4 GeV & $>$ 5 GeV \\ |
| 623 |
+ |
\hline |
| 624 |
+ |
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 \\ |
| 625 |
+ |
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 \\ |
| 626 |
+ |
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 \\ |
| 627 |
+ |
|
| 628 |
+ |
\hline |
| 629 |
+ |
\hline |
| 630 |
+ |
$\mu$ + $\geq$4 jets & $>$ 1 GeV & $>$ 2 GeV & $>$ 3 GeV & $>$ 4 GeV & $>$ 5 GeV \\ |
| 631 |
+ |
\hline |
| 632 |
+ |
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 \\ |
| 633 |
+ |
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 \\ |
| 634 |
+ |
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 \\ |
| 635 |
+ |
|
| 636 |
+ |
\hline |
| 637 |
+ |
\hline |
| 638 |
+ |
|
| 639 |
|
\end{tabular} |
| 640 |
|
\end{center} |
| 641 |
|
\end{table} |
| 642 |
+ |
|
| 643 |
+ |
|
| 644 |
+ |
%Figure.~\ref{fig:reliso} compares the relative track isolation |
| 645 |
+ |
%for events with a track with $\pt > 10~\GeV$ in addition to a selected |
| 646 |
+ |
%muon for $\Z+4$ jet events and various \ttll\ components. The |
| 647 |
+ |
%isolation distributions show significant differences, particularly |
| 648 |
+ |
%between the leptons from a \W\ or \Z\ decay and the tracks arising |
| 649 |
+ |
%from $\tau$ decays. As can also be seen in the figure, the \pt\ |
| 650 |
+ |
%distribution for the various categories of tracks is different, where |
| 651 |
+ |
%the decay products from $\tau$s are significantly softer. Since the |
| 652 |
+ |
%\pt\ enters the denominator of the isolation definition and hence |
| 653 |
+ |
%alters the isolation variable... |
| 654 |
+ |
|
| 655 |
+ |
%\begin{figure}[hbt] |
| 656 |
+ |
% \begin{center} |
| 657 |
+ |
% \includegraphics[width=0.5\linewidth]{plots/pfiso_njets4_log.png}% |
| 658 |
+ |
% \includegraphics[width=0.5\linewidth]{plots/pfpt_njets4.png} |
| 659 |
+ |
% \caption{ |
| 660 |
+ |
% \label{fig:reliso}%\protect |
| 661 |
+ |
% Comparison of relative track isolation variable for PF cand probe in Z+jets and ttbar |
| 662 |
+ |
% Z+Jets and ttbar dilepton have similar isolation distributions |
| 663 |
+ |
% ttbar with leptonic and single prong taus tend to be less |
| 664 |
+ |
% isolated. The difference in the isolation can be attributed |
| 665 |
+ |
% to the different \pt\ distribution of the samples, since |
| 666 |
+ |
% $\tau$ decay products tend to be softer than leptons arising |
| 667 |
+ |
% from \W\ or \Z\ decays.} |
| 668 |
+ |
% \end{center} |
| 669 |
+ |
%\end{figure} |
| 670 |
+ |
|
| 671 |
+ |
% \includegraphics[width=0.5\linewidth]{plots/pfabsiso_njets4_log.png} |
| 672 |
+ |
|
| 673 |
+ |
|
| 674 |
+ |
%BEGIN SECTION TO WRITE OUT |
| 675 |
+ |
%In detail, the procedure to correct the dilepton background is: |
| 676 |
+ |
|
| 677 |
+ |
%\begin{itemize} |
| 678 |
+ |
%\item Using tag-and-probe studies, we plot the distribution of {\bf absolute} track isolation for identified probe electrons |
| 679 |
+ |
%and muons {\bf TODO: need to compare the e vs. $\mu$ track iso distributions, they might differ due to e$\to$e$\gamma$}. |
| 680 |
+ |
%\item We verify that the distribution of absolute track isolation does not depend on the \pt\ of the probe lepton. |
| 681 |
+ |
%This is due to the fact that this isolation is from ambient PU and jet activity in the event, which is uncorrelated with |
| 682 |
+ |
%the lepton \pt {\bf TODO: verify this in data and MC.}. |
| 683 |
+ |
%\item Our requirement is {\bf relative} track isolation $<$ 0.1. For a given \ttll\ MC event, we determine the \pt of the 2nd |
| 684 |
+ |
%lepton and translate this to find the corresponding requirement on the {\bf absolute} track isolation, which is simply $0.1\times$\pt. |
| 685 |
+ |
%\item We measure the efficiency to satisfy this requirement in data and MC, and define a scale-factor $SF_{\epsilon(trk)}$ which |
| 686 |
+ |
%is the ratio of the data-to-MC efficiencies. This scale-factor is applied to the \ttll\ MC event. |
| 687 |
+ |
%\item {\bf THING 2 we are unsure about: we can measure this SF for electrons and for muons, but we can't measure it for hadronic |
| 688 |
+ |
%tracks from $\tau$ decays. Verena has showed that the absolute track isolation distribution in hadronic $\tau$ tracks is harder due |
| 689 |
+ |
%to $\pi^0\to\gamma\gamma$ with $\gamma\to e^+e^-$.} |
| 690 |
+ |
%\end{itemize} |
| 691 |
+ |
%END SECTION TO WRITE OUT |
| 692 |
+ |
|
| 693 |
+ |
|
| 694 |
+ |
{\bf fix me: What you have written in the next paragraph does not explain how $\epsilon_{fake}$ is measured. |
| 695 |
+ |
Why not measure $\epsilon_{fake}$ in the b-veto region?} |
| 696 |
+ |
|
| 697 |
+ |
%A measurement of the $\epsilon_{fake}$ in data is non-trivial. However, it is |
| 698 |
+ |
%possible to correct for differences in the $\epsilon_{fake}$ between data and MC by |
| 699 |
+ |
%applying an additional scale factor for the single lepton background |
| 700 |
+ |
%alone, using the sample in the \mt\ peak region. This scale factor is determined after applying the isolated track |
| 701 |
+ |
%veto and after subtracting the \ttll\ component, corrected for the |
| 702 |
+ |
%isolation efficiency derived previously. |
| 703 |
+ |
%As shown in Figure~\ref{fig:vetoeffcomp}, the efficiency for selecting an |
| 704 |
+ |
%isolated track in single lepton events is independent of \mt\, so the use of |
| 705 |
+ |
%an overall scale factor is justified to estimate the contribution in |
| 706 |
+ |
%the \mt\ tail. |
| 707 |
+ |
% |
| 708 |
+ |
%\begin{figure}[hbt] |
| 709 |
+ |
% \begin{center} |
| 710 |
+ |
% \includegraphics[width=0.5\linewidth]{plots/vetoeff_comp.png} |
| 711 |
+ |
% \caption{ |
| 712 |
+ |
% \label{fig:vetoeffcomp}%\protect |
| 713 |
+ |
% Efficiency for selecting an isolated track comparing |
| 714 |
+ |
% single lepton \ttlj\ and dilepton \ttll\ events in MC and |
| 715 |
+ |
% data as a function of \mt. The |
| 716 |
+ |
% efficiencies in \ttlj\ and \ttll\ exhibit no dependence on |
| 717 |
+ |
% \mt\, while the data ranges between the two. This behavior |
| 718 |
+ |
% is expected since the low \mt\ region is predominantly \ttlj, while the |
| 719 |
+ |
% high \mt\ region contains mostly \ttll\ events.} |
| 720 |
+ |
% \end{center} |
| 721 |
+ |
%\end{figure} |
| 722 |
+ |
|
| 723 |
+ |
\subsection{Summary of uncertainties} |
| 724 |
+ |
\label{sec:bgunc-bottomline}. |
| 725 |
+ |
|
| 726 |
+ |
THIS NEEDS TO BE WRITTEN |
