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\section{Limits on New Physics}
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\label{sec:limit}
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We proceed to set upper limits on the non-SM contributions to the 2 signal regions. For both regions,
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we find reasonable agreement between the observed yields and the predictions from MC and from the 2
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data-driven methods. We choose here to extract the upper limits using the MC prediction for the
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background estimate. The 95\% CL upper limit is extracted using a Bayesian technique~\cite{ref:cl95cms},
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using a log-normal model of nuissance parameter integration. The results are summarized in
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Table~\ref{tab:results}. Based on these results, we exclude LM1 but not LM3.
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\begin{table}[hbt]
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\begin{center}
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\caption{\label{tab:results}
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Summary of the observed and predicted yields in the 2 signal regions. MC errors are statistical only.
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}
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\begin{tabular}{l|c|c|c}
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\hline
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& high \met\ signal region & high \Ht\ signal region \\
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\hline
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Observed yield & 4 & 3 \\
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\hline
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MC prediction & 2.6 $\pm$ 0.8 & 2.5 $\pm$ 0.8 \\
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ABCD' prediction & 1.2 $\pm$ 0.4 (stat) $\pm$ 0.5 (syst) & 0.0 $\pm$ 0.6 (stat) $\pm$ 0.3 (syst) \\
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\ptll\ prediction & 5.4 $\pm$ 3.8 (stat) $\pm$ 2.2 (syst) & 1.7 $\pm$ 1.7 (stat) $\pm$ 0.6 (syst) \\
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non-SM yield UL & 5.2 & 4.1 \\
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LM1 yield & 17 $\pm$ 3.1 & 14 $\pm$ 3.1 \\
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LM3 yield & 4.3 $\pm$ 0.9 & 4.3 $\pm$ 1.0 \\
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\hline
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OF subtraction ($\Delta$) & 1.3 $\pm$ 1.9 (stat) $\pm$ 0.1 (syst) & 0.1 $\pm$ 1.5 (stat) $\pm$ 0.0 (syst) \\
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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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