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Revision: 1.13
Committed: Mon Nov 15 01:00:06 2010 UTC (14 years, 5 months ago) by claudioc
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# User Rev Content
1 claudioc 1.8 \section{Acceptance and efficiency systematics}
2 claudioc 1.1 \label{sec:systematics}
3    
4     This is a search for new physics contributions to
5     events with high \met and lots of jet activity.
6     As seen in Section~\ref{sec:results}, there is no
7     evidence for a contribution beyond SM expectations.
8    
9     Strictly speaking it is impossible to talk about
10 claudioc 1.8 ``acceptance and efficiency systematics'' because these kinds of
11 claudioc 1.1 systematics only apply to a well defined final state.
12 claudioc 1.8 Nevertheless, we can make general statements about the
13     systematic uncertainties, including quantitative
14     estimates of the systematic uncertainties associated with
15     a few specific processes.
16 claudioc 1.1
17 benhoob 1.4 The systematic uncertainty on the lepton acceptance consists
18 claudioc 1.1 of two parts: the trigger efficiency uncertainty and the
19 claudioc 1.12 ID and isolation uncertainty. We discuss these in turn.
20 claudioc 1.1
21     The trigger efficiency
22     for two leptons of $P_T>10$ GeV, with one lepton of
23     $P_T>20$ GeV is very high, except in some corners
24 claudioc 1.13 of phase space, see Section~\ref{sec:trgeffsum}.
25 claudioc 1.1 We estimate the efficiency uncertainty to be a few percent,
26     mostly in the low $P_T$ region.
27    
28 claudioc 1.3 \begin{figure}[tbh]
29     \begin{center}
30 claudioc 1.9 \includegraphics[width=1.0\linewidth]{eff_35.png}
31 claudioc 1.10 \includegraphics[width=1.0\linewidth]{isoEff.png}
32 claudioc 1.3 \caption{\label{fig:effttbar}\protect
33     Identification and isolation efficiencies for
34     leptons from $t \to W \to \ell$ and
35     $t \to W \to \tau \to \ell$ in
36     $t\bar{t}$ events.}
37     \end{center}
38     \end{figure}
39    
40    
41 claudioc 1.7 \begin{table}[hbt]
42     \begin{center}
43     \caption{\label{tab:tagandprobe} Tag and probe results on $Z \to \ell \ell$
44     on data and MC. We quote ID efficiency given isolation and
45     the isolation efficiency given ID.}
46     \begin{tabular}{|l||c|c|}
47     \hline
48     & Data T\&P & MC T\&P \\ \hline
49     $\epsilon(id|iso)$ electrons & $0.909\pm0.006$ & 0.926 \\
50     $\epsilon(iso|id)$ electrons & $0.987\pm0.003$ & 0.985 \\
51     $\epsilon(id|iso)$ muons & $0.955\pm0.003$ & 0.953 \\
52     $\epsilon(iso|id)$ muons & $0.984\pm0.003$ & 0.981 \\
53     \hline
54     \end{tabular}
55     \end{center}
56     \end{table}
57    
58    
59 claudioc 1.3 The ID efficiencies in MC are shown in
60     Figures~\ref{fig:effttbar}
61     for the leptons from $t \to W \to \ell$ and $t \to W \to \tau \to \ell$.
62 claudioc 1.7 Tag and probe studies show that these are correct to about 2\%,
63     see Table~\ref{tab:tagandprobe}.
64     Note that the isolation efficiency depends on the jet activity in
65 claudioc 1.1 the final state. For example, in MC we find that the
66     lepton isolation efficiency differs by $\approx 4\%$
67     {\bf per lepton} between $Z$ events and $t\bar{t}$ events\cite{ref:top}.
68 claudioc 1.11 %\noindent {\bf This figure should be cut off at 100 GeV, and
69     %the y-axis should be zero-suppressed}
70 claudioc 1.1
71     Another significant source of systematic uncertainty is
72     associated with the jet and $\met$ energy scale. The impact
73 claudioc 1.8 of this uncertainty is final-state dependent. Final
74     states characterized by lots of hadronic activity and \met are
75 claudioc 1.1 less sensitive than final states where the \met and SumJetPt
76     are typically close to the requirement. To be more quantitative,
77     we have used the method of Reference~\cite{ref:top} to evaluate
78     the systematic uncertainties on the acceptance for $t\bar{t}$
79     and two benchmark SUSY points. The uncertainties are calculated
80     assuming a 5\% uncertainty to the hadronic energy scale in CMS.
81    
82 claudioc 1.6 For $t\bar{t}$ we find uncertainties of 8\% (baseline
83 claudioc 1.5 selection) and 30\% (signal region D); for LM0 and LM1 we find
84 claudioc 1.6 14\% and 6\% respectively for signal region D.