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1  
2   In order to search for a possible signal from stop decays giving rise to a signature of \ttbar\ with additional \met\
3 < from the LSPs, it is necessary to determine the composition of the SM backgrouns in the signal region.
3 > from the LSPs, it is necessary to determine the composition of the SM backgrounds in the signal region.
4   This section details the methods pursued to estimate the background in the signal sample and describes the
5   procedure to estimate the systematic uncertainties. The general strategy is to use the MC prediction for the
6   backgrounds after applying corrections derived from data.
7  
8   The most important background to a stop signal arises from SM \ttbar. The \ttbar\ background may be
9   separated into contributions containing a single lepton \ttlj\ and two leptons \ttll. As described in this section,
10 < the \ttll\ background is the dominant process satisfying the event selection, contributing $\sim 80\%$ of the
11 < signal sample defined with the benchmark selection of $\met\>100~\GeV$ and $\mt\>150~\GeV$. This
12 < background has large true \met\ and consequently larger \mt\ due to the presence of two neutrinos.
10 > the \ttll\ background is the dominant process in our signal region (\met\ $>$ 100~\GeV and \mt\ $>$ 150~\GeV, $\ge 1$ b-tags, isolated track veto),
11 > contributing $\sim 80\%$ of the background yield.
12 > %
13 > This background has large true \met\ and consequently larger \mt\ due to the presence of two neutrinos.
14   Additional contributions to the single lepton sample arise from \wjets\ and single top. The combination of
15   all single lepton backgrounds, \ttlj, \wjets\ and single top, comprises $\sim 15\%$ of the signal sample.
16   Finally, other background sources such as dibosons, \dy\ + jets, in addition to rarer processes such as \ttbar\
17 < produced in association with a vector boson and tribosons, provide a combined contribution to the signal sample
18 < at the level of $\sim 5\%$.
19 < Finally, the QCD background contribution is small, particularly in the signal sample, with a large \met requirement.
17 > produced in association with a vector boson, dibosons and tribosons,
18 > provide a combined contribution to the signal
19 > sample at the level of $\sim 5\%$.
20 > Finally, the QCD background contribution is small, particularly in the signal sample, with a large \met\ requirement.
21 >
22 > The total bkg in the signal region is estimated according to:
23 >
24 > $$ N_{bkg}  = N_{1 lep} + N_{2 lep} + N_{rare} $$
25 >
26 > $$ N_{1 lep} = N_{1 lep}^{MC}
27 > \times
28 > {(1- \epsilon_{fake})^{data} \over (1 - \epsilon_{fake})^{MC}}
29 > \times
30 > {N_{peak}^{data} \over N_{peak}^{MC}}
31 > $$
32 >
33 > $$ N_{2 lep} = N_{2 lep}^{MC}
34 > \times
35 > {(1- \epsilon_{iso\ trk})^{data} \over (1 - \epsilon_{iso\ trk})^{MC}}
36 > \times
37 > {N_{peak}^{data} \over N_{peak}^{MC}}
38 > $$
39 >
40 > All of these terms will be defined clearly in this section, including
41 > their corrections and sources of systematic errors.
42 >
43 > %We then define the following subsamples within this preselection sample:
44 > %\begin{itemize}
45 > %\item $N_{b-tag} = 0$, i.e. b-veto region $\to$ used to validate the lepton + jets bkg estimation method (see Section~\ref{sec:bkg_singlelep}).
46 > %For raw yields prior to any corrections see Tables~\ref{tab:bvetoyieldpeak} and ~\ref{tab:bvetoyieldtail}.
47 > %%
48 > %\item $N_{b-tag} \ge 1 $, i.e. b-tagged region
49 > %For raw yields prior to any corrections see Table~\ref{tab:btagpreselection}.
50 > %%
51 > %\begin{itemize}
52 > %\item with $\met > 100 \GeV$, $ 60 < \mt < 100 \GeV$, and without an additional isolated track veto $\to$ used to normalize top bkg (see Section~\ref{sec:topnorm}).
53 > %For raw yields prior to any corrections see Table~\ref{tab:btagpeakregionnotrkiso}.
54 > %%
55 > %\item with an additional isolated track veto, $\met > 100 \GeV$, $\mt > 150 \GeV$ $\to$ used as signal region
56 > %For raw yields prior to any corrections see Table~\ref{tab:btagtailaftertrkiso}. As this is our signal region, only MC is shown at this point.
57 > %\end{itemize}
58 > %\end{itemize}
59  

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