ViewVC Help
View File | Revision Log | Show Annotations | Root Listing
root/cvsroot/UserCode/claudioc/dilNoteICHEP/FRapply.tex
Revision: 1.9
Committed: Fri Jul 9 09:33:21 2010 UTC (14 years, 10 months ago) by claudioc
Content type: application/x-tex
Branch: MAIN
CVS Tags: v8, HEAD
Changes since 1.8: +4 -4 lines
Log Message:
misc. + asymmetric errors

File Contents

# User Rev Content
1 claudioc 1.1 \section{Application of the FR to dileptons}
2     \label{sec:FRapply}
3    
4     \subsection{Results}
5     In this Section we apply the FR method to our dilepton analysis.
6     We repeat the selection of Section~\ref{sec:yields}, but
7     instead of selecting pairs of leptons passing the lepton
8     requirements, we select pairs of FO that fail the lepton
9     requirements. We then weight each event by
10     FR$_1$FR$_2$/(1-FR$_1$)(1-FR$_2$), sum all of the weights, and
11     compare with the yields of Tables~\ref{tab:yieldSS} and~\ref{tab:yieldOS}.
12    
13     The procedure is performed using the FR from HLT\_Jet15U.
14 claudioc 1.6 The results are displayed in
15 claudioc 1.7 Tables \ref{tab:FRyieldOS},
16     {\color{red} \ref{tab:FRyieldSS} (old)} and
17     {\color{blue} \ref{tab:FRyieldSS2} (new)}
18 claudioc 1.6
19 claudioc 1.1
20    
21     \begin{table}[htb]
22     \begin{center}
23     \caption{\label{tab:FRyieldOS} Observed and predicted yields of OS events.
24     The quoted uncertainty on the FR prediction is based on the statistics
25     on the number of FO-FO pairs that are seen in the data. The systematic
26 claudioc 1.7 uncertainty from the FR is not included. Luminosity = 11.5 nb$^{-1}$.}
27 claudioc 1.1 \begin{tabular}{|c|c|c|c|c|c|} \hline
28     & DY $+ \gamma$-jet & QCD prediction & QCD prediction & QCD prediction & Data \\
29     & MC yield & using e-V1 and $\mu$ FR & using e-V2 and $\mu$ FR & using e-V3 and $\mu$ FR & \\ \hline
30 claudioc 1.4 $ee$ & $0.84\pm0.02$ & $0.06\pm0.01$ & $0.08\pm0.04$ & $0.30\pm0.30$ & 2 \\
31 claudioc 1.1 $e\mu$ & $0.08\pm0.01$ & $0.26\pm0.11$ & $0.21\pm0.21$ & $1.41\pm0.82$ & 0 \\
32     $\mu\mu$& $1.36\pm0.03$ & $0.0\pm0.2$ & $0.0\pm0.2$ & $0.0\pm0.2$ & 3 \\
33     \hline
34 spadhi 1.5 all & $2.28\pm0.04$ & $0.32\pm0.23$ & $0.29\pm0.29$ & $1.71\pm0.90$ & 5 \\
35 claudioc 1.1 \hline
36     \end{tabular}
37     \end{center}
38     \end{table}
39    
40     \begin{table}[htb]
41     \begin{center}
42 claudioc 1.6 {\color{red}
43 claudioc 1.1 \caption{\label{tab:FRyieldSS} Observed and predicted yields of SS events.
44     The quoted uncertainty on the FR prediction is based on the statistics
45     on the number of FO-FO pairs that are seen in the data. The systematic
46 claudioc 1.7 uncertainty from the FR is not included. Luminosity = 12.5 nb$^{-1}$.}
47 claudioc 1.1 \begin{tabular}{|c|c|c|c|c|c|} \hline
48     & DY $+ \gamma$-jet & QCD prediction & QCD prediction & QCD prediction & Data \\
49     & MC yield & using e-V1 and $\mu$ FR & using e-V2 and $\mu$ FR & using e-V3 and $\mu$ FR & \\ \hline
50 claudioc 1.3 $ee$ & $0.01 \pm 0.003$ & $0.11\pm 0.02$ & $0.19\pm 0.10$ & $0.38 \pm 0.38$ & 0 \\
51     $e\mu$ & $0.01 \pm 0.003$ & $0.0 \pm 0.025$& $0.0 \pm 0.2$ & $0.0 \pm 0.3$ & 0 \\
52     $\mu\mu$& $0.001\pm 0.0008$& $0.0 \pm 0.22$ & $0.0 \pm 0.1$ & $0.0 \pm 0.2$ & 0 \\
53 claudioc 1.1 \hline
54 claudioc 1.3 all & $0.02\pm 0.005$ & $0.11\pm 0.22$ & $0.19 \pm 0.26$& $0.38 \pm 0.52$ & 0 \\
55 claudioc 1.1 \hline
56     \end{tabular}
57 claudioc 1.6 }
58 claudioc 1.1 \end{center}
59     \end{table}
60    
61     With this small amount of luminosity, the uncertainty on the FR prediction due
62     to the limited statistics of the FO-FO sample is quite large. There is
63     good agreement between the data and the sum of the FR prediction and the
64     Monte Carlo DY prediction. (The Tables actually include the $\gamma +$ jet
65     MC prediction, but this is very small).
66    
67 claudioc 1.6 \begin{table}[htb]
68     \begin{center}
69     {\color{blue}
70 claudioc 1.7 \caption{\label{tab:FRyieldSS2} Observed and predicted yields of SS events.
71 claudioc 1.6 The quoted uncertainty on the FR prediction is based on the statistics
72     on the number of FO-FO pairs that are seen in the data. The systematic
73 claudioc 1.7 uncertainty from the FR is not included. Luminosity = 65 nb$^{-1}$.}
74 claudioc 1.6 \begin{tabular}{|c|c|c|c|c|c|} \hline
75     & DY $+ \gamma$-jet & QCD prediction & QCD prediction & QCD prediction & Data \\
76     & MC yield & using e-V1 and $\mu$ FR & using e-V2 and $\mu$ FR & using e-V3 and $\mu$ FR & \\ \hline
77 claudioc 1.9 $ee$ & $0.08 \pm 0.02$ & $0.45\pm 0.04$ & $0.43^{+0.18}_{-0.14}$ & $0.50^{+1.15}_{-0.42}$ & 0 \\
78     $e\mu$ & $0.04 \pm 0.02$ & $0.44 \pm 0.10$& $0.14^{+0.18}_{-0.09}$ & $1.10^{+0.74}_{-0.48}$ & 1 \\
79     $\mu\mu$& $0.01\pm 0.004$& $0.22^{+0.51}_{-0.18}$ & $0.22^{+0.51}_{-0.18}$ & $0.22^{+0.51}_{-0.18}$ & 0 \\
80 claudioc 1.6 \hline
81 claudioc 1.9 all & $0.13\pm 0.02$ & $1.11^{+0.52}_{-0.21}$ & $0.78^{+0.57}_{-0.25}$& $1.81^{+1.46}_{-0.66}$ & 1 \\
82 claudioc 1.6 \hline
83     \end{tabular}
84     }
85     \end{center}
86     \end{table}
87 claudioc 1.1
88 claudioc 1.7
89    
90 claudioc 1.1
91    
92     %\subsection{Relaxing the cuts some more}
93     %\label{sec:relax}
94    
95     %As mentioned in Section~\ref{sec:intro}, one of the main goals
96     %of this study is to gain some confidence in the MC prediction
97     %that QCD events are not a serious issue for the top dilepton analysis.
98     %Even at low $P_T$ ($P_T > 10$ GeV) we do not have enough MC statistics
99     %to test the QCD prediction. As mentioned in Section~\ref{sec:yields}
100     %we plan to use lepton enriched MC samples.
101    
102     %For now, we compare
103     %data and MC yields after relaxing the lepton requirements further.
104     %Specifically, we compare data and MC in the OS sample using the muon
105     %FO and the electron FO V2 definition. Effectively, this corresponds
106     %mostly to the relaxing of the isolation requirement. The results
107     %are displayed in Table~\ref{tab:relax}.
108    
109     %\begin{table}[htb]
110     %\begin{center}
111     %\caption{\label{tab:relax} Observed and MC predicted yields in the OS
112     %FO-FO selection. The electron FO is V2.}
113     %\begin{tabular}{|l|c|c|c|c|c|c|} \hline
114     %Final State & QCDPt15 & QCDpt30 & $\gamma +$ jet & DY & Total MC & Data \\
115     %\hline
116     %ee & & & & & & \\
117     %e$\mu$ & & & & & & \\
118     %$\mu\mu$ & & & & & & \\
119     %\hline
120     %All & & & & & & \\
121     %\hline
122     %\end{tabular}
123     %\end{center}
124     %\end{table}
125    
126    
127