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root/cvsroot/UserCode/claudioc/OSNote2010/systematics.tex
Revision: 1.19
Committed: Mon Dec 6 15:54:34 2010 UTC (14 years, 4 months ago) by benhoob
Content type: application/x-tex
Branch: MAIN
Changes since 1.18: +3 -3 lines
Log Message:
Update plots with 38X MC

File Contents

# 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 benhoob 1.17 estimates of the systematic uncertainties associated with
15 benhoob 1.18 a few specific processes. Note that we have used Spring10
16     MC for the studies of systematic uncertainties described in this section,
17     and we are currently checking if any of the reported values
18     change after switching to Fall10 MC.
19 claudioc 1.1
20 benhoob 1.4 The systematic uncertainty on the lepton acceptance consists
21 claudioc 1.1 of two parts: the trigger efficiency uncertainty and the
22 claudioc 1.12 ID and isolation uncertainty. We discuss these in turn.
23 claudioc 1.1
24     The trigger efficiency
25     for two leptons of $P_T>10$ GeV, with one lepton of
26     $P_T>20$ GeV is very high, except in some corners
27 claudioc 1.13 of phase space, see Section~\ref{sec:trgeffsum}.
28 claudioc 1.1 We estimate the efficiency uncertainty to be a few percent,
29     mostly in the low $P_T$ region.
30    
31 claudioc 1.3 \begin{figure}[tbh]
32     \begin{center}
33 benhoob 1.19 \includegraphics[width=1.0\linewidth]{ttdilD6T_eff_Dec02_38X.png}
34     \includegraphics[width=1.0\linewidth]{lm_eff_Dec02_38X.png}
35 claudioc 1.3 \caption{\label{fig:effttbar}\protect
36     Identification and isolation efficiencies for
37     leptons from $t \to W \to \ell$ and
38     $t \to W \to \tau \to \ell$ in
39     $t\bar{t}$ events.}
40     \end{center}
41     \end{figure}
42    
43    
44 claudioc 1.7 \begin{table}[hbt]
45     \begin{center}
46     \caption{\label{tab:tagandprobe} Tag and probe results on $Z \to \ell \ell$
47     on data and MC. We quote ID efficiency given isolation and
48 benhoob 1.19 the isolation efficiency given ID. {\bf \color{red} UPDATE WITH 38X }}
49 claudioc 1.7 \begin{tabular}{|l||c|c|}
50     \hline
51     & Data T\&P & MC T\&P \\ \hline
52     $\epsilon(id|iso)$ electrons & $0.909\pm0.006$ & 0.926 \\
53     $\epsilon(iso|id)$ electrons & $0.987\pm0.003$ & 0.985 \\
54     $\epsilon(id|iso)$ muons & $0.955\pm0.003$ & 0.953 \\
55     $\epsilon(iso|id)$ muons & $0.984\pm0.003$ & 0.981 \\
56     \hline
57     \end{tabular}
58     \end{center}
59     \end{table}
60    
61    
62 claudioc 1.3 The ID efficiencies in MC are shown in
63     Figures~\ref{fig:effttbar}
64     for the leptons from $t \to W \to \ell$ and $t \to W \to \tau \to \ell$.
65 claudioc 1.7 Tag and probe studies show that these are correct to about 2\%,
66     see Table~\ref{tab:tagandprobe}.
67     Note that the isolation efficiency depends on the jet activity in
68 claudioc 1.1 the final state. For example, in MC we find that the
69     lepton isolation efficiency differs by $\approx 4\%$
70     {\bf per lepton} between $Z$ events and $t\bar{t}$ events\cite{ref:top}.
71 claudioc 1.11 %\noindent {\bf This figure should be cut off at 100 GeV, and
72     %the y-axis should be zero-suppressed}
73 claudioc 1.1
74     Another significant source of systematic uncertainty is
75     associated with the jet and $\met$ energy scale. The impact
76 claudioc 1.8 of this uncertainty is final-state dependent. Final
77     states characterized by lots of hadronic activity and \met are
78 claudioc 1.1 less sensitive than final states where the \met and SumJetPt
79     are typically close to the requirement. To be more quantitative,
80     we have used the method of Reference~\cite{ref:top} to evaluate
81     the systematic uncertainties on the acceptance for $t\bar{t}$
82     and two benchmark SUSY points. The uncertainties are calculated
83     assuming a 5\% uncertainty to the hadronic energy scale in CMS.
84    
85 claudioc 1.6 For $t\bar{t}$ we find uncertainties of 8\% (baseline
86 claudioc 1.5 selection) and 30\% (signal region D); for LM0 and LM1 we find
87 claudioc 1.6 14\% and 6\% respectively for signal region D.