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Revision: 1.4
Committed: Mon Jun 13 18:08:56 2011 UTC (13 years, 11 months ago) by benhoob
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Branch: MAIN
Changes since 1.3: +9 -4 lines
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# User Rev Content
1 benhoob 1.1 \section{Limits on New Physics}
2     \label{sec:limit}
3    
4 benhoob 1.4 We first set an upper limit on the signal yield extracted by the fit to the dilepton mass
5     distribution, assuming the LM1 shape. The 95\% confidence level (CL) upper limit (UL)
6     is extracted using a profile likelihood technique, giving an UL of X events. The expected
7     LM1 yield is X $\pm$ X events; hence LM1 is excluded by these results.
8    
9     We proceed to set upper limits on the non-SM contributions to the high \MET\ and high \Ht\ signal regions.
10     For both regions, we find reasonable agreement between the observed yields and the predictions from MC and from the 2
11 benhoob 1.2 data-driven methods. We choose here to extract the upper limits using the MC prediction for the
12     background estimate. The 95\% CL upper limit is extracted using a Bayesian technique~\cite{ref:cl95cms},
13     using a log-normal model of nuissance parameter integration. The results are summarized in
14 benhoob 1.4 Table~\ref{tab:results}. Based on these results, we exclude LM1.
15 benhoob 1.1
16 benhoob 1.2 \begin{table}[hbt]
17 benhoob 1.1 \begin{center}
18 benhoob 1.2 \caption{\label{tab:results}
19     Summary of the observed and predicted yields in the 2 signal regions. MC errors are statistical only.
20 benhoob 1.1 }
21 benhoob 1.4 \begin{tabular}{|l|c|c|c}
22 benhoob 1.2 \hline
23     & high \met\ signal region & high \Ht\ signal region \\
24     \hline
25     Observed yield & 4 & 3 \\
26     \hline
27     MC prediction & 2.6 $\pm$ 0.8 & 2.5 $\pm$ 0.8 \\
28     ABCD' prediction & 1.2 $\pm$ 0.4 (stat) $\pm$ 0.5 (syst) & 0.0 $\pm$ 0.6 (stat) $\pm$ 0.3 (syst) \\
29     \ptll\ prediction & 5.4 $\pm$ 3.8 (stat) $\pm$ 2.2 (syst) & 1.7 $\pm$ 1.7 (stat) $\pm$ 0.6 (syst) \\
30     non-SM yield UL & 5.2 & 4.1 \\
31 benhoob 1.3 LM1 yield & 17 $\pm$ 3.1 & 14 $\pm$ 3.1 \\
32     LM3 yield & 4.3 $\pm$ 0.9 & 4.3 $\pm$ 1.0 \\
33 benhoob 1.2 \hline
34     OF subtraction ($\Delta$) & 1.3 $\pm$ 1.9 (stat) $\pm$ 0.1 (syst) & 0.1 $\pm$ 1.5 (stat) $\pm$ 0.0 (syst) \\
35     \hline
36     \end{tabular}
37 benhoob 1.1 \end{center}
38 benhoob 1.2 \end{table}