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\section{Limits on New Physics} |
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\label{sec:limit} |
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We first set an upper limit on the signal yield extracted by the fit to the dilepton mass |
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We set an upper limit on the signal yield extracted by the fit to the dilepton mass |
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distribution, assuming the LM1 shape. The 95\% confidence level (CL) upper limit (UL) |
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is extracted using a profile likelihood technique, giving an UL of X events. The expected |
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LM1 yield is X $\pm$ X events; hence LM1 is excluded by these results. |
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is extracted using a profile likelihood technique, giving an UL of 18 events, including |
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uncertainties in the resolution model and $Z$ yield. |
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The expected LM1 yield is 23 $\pm$ X events including the uncertainties from trigger efficiency, |
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lepton selection efficiency, hadronic energy scale and integrated luminosity; hence LM1 is excluded by these results. |
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We proceed to set upper limits on the non-SM contributions to the high \MET\ and high \Ht\ signal regions. |
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We set upper limits on the non-SM contributions to the high \MET\ and high \Ht\ signal regions. |
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For both regions, 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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with 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. |
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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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Summary of the observed and predicted yields in the 2 signal regions. The error in the MC prediction is statistical only. |
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The systematic uncertainties on the ABCD', \ptll, and OF subtraction predictions are discussed in the text. The non-SM yield UL is a |
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Bayesian 95\% confidence level upper limit. The LM1 and LM3 yields include uncertainties from trigger efficiency, |
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lepton selection efficiency, hadronic energy scale and integrated luminosity. |
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} |
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\begin{tabular}{|l|c|c|c} |
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\hline |