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\clearpage
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\section{Data vs. MC Comparison in Preselection Region}
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\label{sec:yields}
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In this section we compare the data and MC samples passing the selection described in Sec.~\ref{sec:eventSelection}
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In the following, the MC is reweighted to match the data distribution of number of reconstructed primary vertices.
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The trigger efficiencies of Sec.~\ref{sec:datasets} are applied. In all plots, the last bin contains the overflow.
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We begin by counting the inclusive Z yields. Here we require the presence of two selected leptons without
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any additional requirements on jets or \MET. In Fig.~\ref{fig:dilmass} the distribution of dilepton invariant
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mass in the ee and $\mu\mu$ channels is displayed. In Table~\ref{table:zyields} the yields for selected dilepton
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events in the Z mass window are indicated. Good data vs. MC agreement is observed, within the systematic uncertainties
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of integrated luminosity (4.5\%), trigger efficiency (3\%), \zjets\ and \ttbar\ cross sections.
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\begin{figure}[hbt]
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\begin{center}
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\includegraphics[width=1.0\linewidth]{plots/dilmass_ee_mm.pdf}
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\caption{
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\label{fig:dilmass}\protect
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Dilepton mass distribution for events with two selected leptons
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in the $ee$ (left) and $\mu\mu$ (right) final states.}
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\end{center}
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\end{figure}
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\begin{table}[htb]
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\begin{center}
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\caption{\label{table:zyields} Data and Monte Carlo yields for events with two selected leptons in the Z mass window.
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}
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\begin{tabular}{lccccc}
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\hline
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\hline
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Sample & ee & $\mu\mu$ & e$\mu$ & total \\
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\hline
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\zjets & 1150211.5 $\pm$ 4886.0 & 1697568.1 $\pm$ 5680.2 & 281.5 $\pm$ 63.7 & 2848061.2 $\pm$ 7492.8 \\
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\ttbar & 829.1 $\pm$ 20.0 & 1120.7 $\pm$ 22.6 & 1910.9 $\pm$ 29.7 & 3860.7 $\pm$ 42.4 \\
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WZ & 1038.2 $\pm$ 3.6 & 1465.5 $\pm$ 4.1 & 29.5 $\pm$ 0.5 & 2533.2 $\pm$ 5.5 \\
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ZZ & 658.0 $\pm$ 2.4 & 933.0 $\pm$ 2.7 & 2.7 $\pm$ 0.1 & 1593.7 $\pm$ 3.6 \\
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WW & 146.7 $\pm$ 2.6 & 209.0 $\pm$ 2.9 & 358.9 $\pm$ 3.9 & 714.6 $\pm$ 5.5 \\
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single top & 70.9 $\pm$ 4.9 & 103.3 $\pm$ 5.7 & 172.5 $\pm$ 7.4 & 346.7 $\pm$ 10.5 \\
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\hline
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total SM MC & 1152954.5 $\pm$ 4886.1 & 1701399.6 $\pm$ 5680.3 &2756.1 $\pm$ 70.8 & 2857110.2 $\pm$ 7493.0 \\
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\hline
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data & 1162229 & 1774353 & 3077 & 2939659 \\
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\hline
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\hline
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\end{tabular}
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\end{center}
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\end{table}
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\clearpage
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We next define the preselection region using the following requirements:
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\begin{itemize}
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\item Number of jets $\geq$ 2
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\item Same flavor dileptons (opposite flavor yields will be shown since they are used in data for the FS background estimation)
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\item Dilepton invariant mass $81<m_{\ell\ell}<101$ GeV
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\end{itemize}
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The dilepton mass distributions in the preselection region (without the dilepton mass requirement applied) for the $ee$ and $\mu\mu$
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final states are shown in Figure~\ref{fig:dilmass_2j}. In Table~\ref{table:zyields_2j} the data and MC yields in the preselection
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region are indicated. Good data vs. MC agreement is observed.
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\begin{figure}[hbt]
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\begin{center}
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\includegraphics[width=1.0\linewidth]{plots/dilmass_ee_mm_2j.pdf}
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\caption{
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\label{fig:dilmass_2j}\protect
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Dilepton mass distribution for events in the preselection region
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in the $ee$ (left) and $\mu\mu$ (right) final states.}
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\end{center}
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\end{figure}
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\begin{table}[htb]
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\begin{center}
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\caption{\label{table:zyields_2j} Data and MC yields in the preselection region.
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}
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\begin{tabular}{lccccc}
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\hline
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\hline
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Sample & ee & $\mu\mu$ & e$\mu$ & total \\
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\hline
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\zjets & 53187.8 $\pm$ 988.5 &78070.5 $\pm$ 1165.7 & 5.6 $\pm$ 3.6 &131264.0 $\pm$ 1528.4 \\
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\ttbar & 645.3 $\pm$ 17.7 &865.1 $\pm$ 19.7 &1470.4 $\pm$ 25.8 &2980.8 $\pm$ 37.0 \\
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WZ & 431.2 $\pm$ 2.4 &594.6 $\pm$ 2.7 & 5.8 $\pm$ 0.2 &1031.6 $\pm$ 3.6 \\
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ZZ & 269.9 $\pm$ 1.6 &377.7 $\pm$ 1.8 & 0.5 $\pm$ 0.0 &648.1 $\pm$ 2.4 \\
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WW & 15.2 $\pm$ 0.8 & 22.2 $\pm$ 0.9 & 38.9 $\pm$ 1.3 & 76.4 $\pm$ 1.7 \\
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single top & 28.8 $\pm$ 3.2 & 38.0 $\pm$ 3.4 & 72.0 $\pm$ 4.9 &138.8 $\pm$ 6.7 \\
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\hline
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total SM MC & 54578.1 $\pm$ 988.7 &79968.3 $\pm$ 1165.9 &1593.3 $\pm$ 26.5 &136139.7 $\pm$ 1528.9 \\
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\hline
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data & 54426 & 80367 & 1565 & 136358 \\
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\hline
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\hline
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\end{tabular}
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\end{center}
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\end{table}
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\clearpage
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\begin{comment}
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The data yields and the MC predictions are given in Table~\ref{preselyieldtable}.
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%Dilepton mass and MET distributions for \emu ~events are shown in appendix \ref{app:emu}.
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As anticipated, the MC predicts that the preselection is dominated by Z+jets in the same-flavor
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case and by \ttbar\ in the opposite-flavor case.
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%The data yield is in reasonable agreement with the predictions for the $ee$, $\mu\mu$ and $e\mu$ channels.
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\begin{comment}
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We also show the %LO
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next-to-leading order (NLO)
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yields for the LM4 and LM8 processes, which are benchmark
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SUSY processes in which $Z$ bosons are produced via cascade decays of SUSY particles.
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\begin{table}[htb]
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\begin{center}
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\caption{\label{preselyieldtable} Data and Monte Carlo yields for the preselection with \njets\ $\ge$ 2 for \lumi.
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%The NLO yields for the SUSY benchmark processes LM4 and LM8 are also shown.
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}
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\begin{tabular}{lccccc}
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\hline
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Sample & $ee$ & $\mu\mu$ & $e\mu$ & tot \\
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\hline
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WJets & 10.8 $\pm$ 4.4 & 0.0 $\pm$ 0.0 & 8.5 $\pm$ 3.8 & 19.3 $\pm$ 5.8 \\
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WW & 14.8 $\pm$ 0.5 & 17.2 $\pm$ 0.5 & 32.9 $\pm$ 0.8 & 64.9 $\pm$ 1.1 \\
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WZ & 405.7 $\pm$ 1.8 & 411.7 $\pm$ 1.7 & 5.0 $\pm$ 0.1 & 822.4 $\pm$ 2.5 \\
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ZZ & 313.3 $\pm$ 1.2 & 349.1 $\pm$ 1.2 & 0.8 $\pm$ 0.0 & 663.2 $\pm$ 1.6 \\
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Single Top & 29.3 $\pm$ 1.2 & 26.1 $\pm$ 1.0 & 50.8 $\pm$ 1.5 & 106.2 $\pm$ 2.1 \\
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\ttbar & 523.2 $\pm$ 2.6 & 529.0 $\pm$ 2.5 & 1056.7 $\pm$ 3.6 & 2108.8 $\pm$ 5.1 \\
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Z+Jets & 51051.4 $\pm$ 147.5 & 53149.1 $\pm$ 143.0 & 16.2 $\pm$ 2.6 & 104216.8 $\pm$ 205.4 \\
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\hline
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Total MC & 52348.5 $\pm$ 147.6 & 54482.2 $\pm$ 143.0 & 1171.0 $\pm$ 6.1 & 108001.6 $\pm$ 205.6 \\
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\hline
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Data & 49214 & 52757 & 1256 & 103227 \\
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\hline
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\end{tabular}
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\end{center}
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\end{table}
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\end{comment}
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