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Revision 1.10 by vuko, Sat Jun 21 15:32:35 2008 UTC

# Line 2 | Line 2
2   \label{sec:eventReconstruction}
3  
4   The four possible final states of \WZ
5 < production with electrons and muons are studied, $\rm e^\pm \epem$, $\mu^\pm \epem$, $\rm e^\pm \mu^+\mu^-$
5 > production with electrons and muons in the final state are studied, $\rm e^\pm \epem$, $\mu^\pm \epem$, $\rm e^\pm \mu^+\mu^-$
6   and $\mu^\pm \mu^+\mu^-$. They are associated to four possible classes,
7   denoted as follows:
8   \begin{itemize}
# Line 16 | Line 16 | denoted as follows:
16   \subsection{Trigger selection and efficiencies}
17  
18   Events stemming from the three-lepton final states of $\WZ$ production
19 < are collected by the electron and muon triggers. For each channel,
19 > are collected by the electron and/or muon triggers. For each channel,
20   a minimun number of HLT requirements is chosen while keeping
21   the HLT efficiency for selected events close to 100\%. The same
22   HLT requirements are used for channels with the same Z decay mode:
# Line 46 | Line 46 | $3\mu$     &   HLTSingleMuonIso
46   \label{tab:hlteff}
47   \end{table}
48  
49 +
50 + \begin{figure}[tbp]
51 +  \begin{center}
52 +  \scalebox{0.7}{\includegraphics{figs/mu_isol.eps}}
53 +  \caption{Muon isolation variables for the muon associated
54 +    to the \W-boson decay in $2e1\mu$ events: the left plot
55 +    shows the sum of calorimetric energy in a $\Delta R=0.3$ cone
56 +    around the muon candidate; the right plot shows the sum of
57 +    transverse momenta of tracks within a $\Delta R = 0.25$ cone around
58 +    the muon candidate. The normalization of signal and background
59 +    distributions is arbitrary.
60 + }
61 +  \label{fig:mu_isol}
62 +  \end{center}
63 + \end{figure}
64 +
65 + \begin{figure}[tb]
66 +  \begin{center}
67 +  \scalebox{0.6}{\includegraphics{figs/mu_SIP.eps}}
68 +  \caption{
69 +    Muon impact parameter significance distribution
70 +    in $2e1\mu$ events. The normalization of signal and background
71 +    distributions is arbitrary.
72 +  }
73 +  \label{fig:mu_SIP}
74 +  \end{center}
75 + \end{figure}
76 +
77 +
78   \subsection{Lepton identification}
79   \label{sec:leptonId}
80  
# Line 57 | Line 86 | combining measurements in the muon chamb
86   An additional isolation criterion requires that the energy
87   measured in the calorimeters within a $\Delta R = 0.3$ cone around the
88   muon must be smaller than 3 GeV and the sum of the $p_t$ of tracks
89 < within a $\Delta R = 0.25$ cone around the muon must be smaller than 2
90 < GeV. These cuts reduce the background from muons originated in
89 > within a $\Delta R = 0.25$ cone around the muon must be smaller than 2 \gev.
90 > These cuts reduce the background from muons originated in
91   \b-quark decays of the $\Zbbbar$ background, which are close to tracks
92   and clusters from the other \b-quark decay products.
93  
# Line 73 | Line 102 | heavy-quark decays in all Standard Model
102   variable is defined as the ratio between the measured impact parameter
103   and its uncertainty: $S_{IP}=IP/\sigma_{IP}$, and is required to
104   satisfy $S_{IP}<3$. This requirement is applied only for muons
105 < and not for electrons. For electrons, the dominant background
106 < comes from fake electrons and not from heavy quark decays.
105 > and not for electrons. For electrons, a significant fraction of the
106 > background comes from fake electrons and not from heavy quark decays,
107 > and a cut on the impact parameter significance shows no improvement
108 > in significance there, as can be seen in Figure~\ref{fig:wl_IP_SvsCut}.
109 >
110 > \begin{figure}[p]
111 >  \begin{center}
112 >  \scalebox{0.6}{\includegraphics{figs/wl_IP_eff.eps}}
113 >  \caption{Efficiency for signal and background as a function
114 >    of the cut value on the \W-boson lepton impact parameter
115 >    significance. All other cuts but the cut on this variable
116 >    are applied.
117 > %    Only events with 81.1 GeV $< M_Z < $ 101.1 \gev
118 > %    are considered.
119 >  }
120 >  \label{fig:wl_IP_eff}
121 >  \end{center}
122 > %\end{figure}
123 >
124 > %\begin{figure}[bt]
125 >  \begin{center}
126 >  \scalebox{0.6}{\includegraphics{figs/wl_IP_SvsCut.eps}}
127 >  \caption{Signal significance as a function of the cut value on
128 >    the \W-boson lepton impact parameter significance. All other cuts but
129 >    the cut on this variable are applied.
130 > %    Only events with 81.1 GeV $< M_Z < $ 101.1 \gev are considered.
131 >  }
132 >  \label{fig:wl_IP_SvsCut}
133 >  \end{center}
134 > \end{figure}
135  
136  
137 + \begin{table}[tbp]
138 + \begin{tabular}{|l|c|c|c|c|} \hline
139 +              &  $3e$ & $2e1\mu$ & $2\mu 1e$ & $3\mu$ \\ \hline \hline
140 + \multicolumn{5}{|c|}{Lepton selection} \\ \hline
141 + Electrons     &   \multicolumn{3}{|c|}{{\tt SimpleLoose} requirements for Z reconstruction} & \\
142 +              &   \multicolumn{3}{|c|}{{\tt SimpleTight} requirements for W} &  \\ \hline
143 + Muons         &  &  \multicolumn{3}{|c|}{ Track Isolation:$ {\tt IsoTrack}(\Delta R= 0.25) < 2 \gev$}  \\
144 +              &  &  \multicolumn{3}{|c|}{ Calorimetric Isolation:$  {\tt IsoCalo}(\Delta R = 0.3)  < 5 \gev$}  \\
145 +              &  &  \multicolumn{3}{|c|}{$S_{IP}=IP/\sigma_{IP}<3$ }  \\ \hline
146 + HLT requirement & \multicolumn{2}{|c|}{ HLTSingleElectron or HLTDoubleElectronRelaxed}
147 +                & \multicolumn{2}{|c|}{  HLTSingleMuonIso} \\ \hline
148 + \multicolumn{5}{|c|}{Z reconstruction} \\ \hline
149 + Lepton cuts   &  \multicolumn{4}{|c|}{for both Z leptons: $p_t > 15 GeV$} \\
150 + Mass window   &  \multicolumn{4}{|c|}{$50 \gev < M_Z < 120 \gev $ } \\
151 + Second Z veto &  \multicolumn{4}{|c|}{No independent second Z candidate with $50 \gev < M_Z < 120 \gev $ } \\ \hline
152 + \multicolumn{5}{|c|}{W lepton selection} \\ \hline
153 +
154 + Other cuts    &     &        & $\Delta R(\mu_Z,e_W)>0.1$ &  \\ \hline
155 + Signal region  &    \multicolumn{4}{|c|}{$81 \gev < M_Z < 101 \gev $ } \\ \hline \hline
156 +
157 + \end{tabular}
158 + \caption{Summary of all cuts used in the WZ selection}
159 + \label{tab:allcuts}
160 + \end{table}
161 +
162 +
163 + \begin{figure}[p]
164 +  \begin{center}
165 +  \scalebox{0.6}{\includegraphics{figs/wlpt_cuteff.eps}}
166 +  \caption{Efficiency for signal and background as a function
167 +    of the cut value on the \W-boson lepton transverse momentum.
168 +    All other cuts but the cut on this variable are applied.
169 +    Only events with 81.1 GeV $< M_Z < $ 101.1 \gev
170 +    are considered.}
171 +  \label{fig:wlpt_cuteff}
172 +  \end{center}
173 + %\end{figure}
174 +
175 + %\begin{figure}[bt]
176 +  \begin{center}
177 +  \scalebox{0.6}{\includegraphics{figs/wlpt_cutS.eps}}
178 +  \caption{Signal significance as a function of the cut value on
179 +    the \W-boson lepton transverse momentum. All other cuts but
180 +    the cut on this variable are applied. Only events with
181 +    81.1 GeV $< M_Z < $ 101.1 \gev are considered.}
182 +  \label{fig:wlpt_cutS}
183 +  \end{center}
184 + \end{figure}
185 +
186  
187   \subsection{\WZ candidate selection}
188  
# Line 111 | Line 217 | the highest $p_t$ is chosen as the one f
217   the additional leptons are not considered further.
218   The transverse momentum of this lepton is required to be larger
219   than 20 GeV. This last requirement is effective in rejecting
220 < the \Zbbbar and \Zjets backgrounds, and the cut value is chosen in
220 > the \Zbbbar and \Zjets backgrounds, see Figure~\ref{fig:wlpt_cuteff},
221 > and the cut value is chosen in
222   the range that maximises the significance as shown in
223 < Figure~\ref{fig:s_vs_wlpt}.
223 > Figure~\ref{fig:wlpt_cutS}.
224 >
225 > An additional requirement on the isolation between electron and muons is applied
226 > for the $2\mu 1e$ channel, by demanding $\Delta R$ between the electron associated
227 > to the \W-decay and any of the two muons associated to the \Z-decay be greater than
228 > 0.1. This requirement allows to suppress the contributions of $\Z \to \mu\mu$
229 > decays, where one of the two muons radiates a photon which is reconstructed
230 > as electrons, possibly after conversion, which shows up as a peak at  around 60 GeV
231 > in the Z mass distribution, as shown in figure~\ref{fig:Z2mu1e_60GeVPeak}.
232 >
233 > The summary of the selection can be seen in Table~\ref{tab:allcuts}.
234  
235   The expected number of events passing the various steps of the selection
236   is listed in Tables~\ref{tab:sel-effA} and~\ref{tab:sel-effB}.
# Line 130 | Line 247 | muons from $W \to \tau \to e/\mu$ decays
247   \begin{table}[p]
248    \begin{center}
249  
250 +
251 +
252 +
253   \begin{tabular}{lcccc} \hline
254 < Step   & WZ  & Z+jets  & TTbar+jets  & bbll\\ \hline
255 < All events       & 546   & 1.2679e+06    & 17556.1       & 72770.4 \\
256 < Found $Z \to ee$         & 219.517 (40.2045 \%)  & 520695 (41.0674 \%)   & 3474.61 (19.7914 \%)  & 29563.3 (40.6254 \%) \\
257 < Z loose electron ID      & 219.517 (100 \%)      & 520695 (100 \%)       & 3474.61 (100 \%)      & 29563.3 (100 \%) \\
258 < Z Lepton Pt cut          & 216.371 (98.5671 \%)  & 515556 (99.0131 \%)   & 3289.22 (94.6645 \%)  & 29109.9 (98.4665 \%) \\
259 < Z Lepton $eta$ cut       & 216.371 (100 \%)      & 515556 (100 \%)       & 3289.22 (100 \%)      & 29109.9 (100 \%) \\
260 < Z Lepton IP cut          & 206.797 (95.5751 \%)  & 492205 (95.4707 \%)   & 3011.11 (91.5448 \%)  & 27833.5 (95.6153 \%) \\
261 < Found $W \to e$          & 42.8968 (20.7434 \%)  & 301.116 (0.061177 \%)         & 14.8797 (0.494158 \%)         & 173.054 (0.621745 \%) \\
262 < W Lepton $\eta$ cut      & 42.8968 (100 \%)      & 301.116 (100 \%)      & 14.8797 (100 \%)      & 173.054 (100 \%) \\
143 < W Lepton Pt cut          & 35.6425 (83.0889 \%)  & 86.9864 (28.8879 \%)  & 9.30549 (62.5383 \%)  & 23.9385 (13.833 \%) \\
144 < W tight electron ID      & 35.6425 (100 \%)      & 86.9864 (100 \%)      & 9.30549 (100 \%)      & 23.9385 (100 \%) \\
145 < Passes HLT               & 35.4852 (99.5587 \%)  & 85.9427 (98.8002 \%)  & 9.30549 (100 \%)      & 23.4938 (98.1424 \%) \\
146 < Z mass window    & 31.7106 (5.8078 \%)   & 54.1554 (0.00427126 \%)       & 3.2585 (0.0185605 \%)         & 17.046 (0.0234243\%) \\
254 > \multicolumn{5}{c}{ {\bf $3e$ Channel}} \\ \hline  \hline
255 > Step   & WZ  & bbll  & Z+jets  & TTbar+jets\\ \hline
256 > All events       & 546   & 72770.4       & 1.2679e+06    & 17556.1 \\
257 > Found $Z \to ee$         & 204.969 (37.5401 \%)  & 27800.5 (38.203 \%)   & 502344 (39.62 \%)     & 2920.59 (16.6357 \%) \\
258 > Found $W \to e$          & 41.9925 (20.4872 \%)  & 171.053 (0.615286 \%)         & 309.563 (0.0616238 \%)        & 13.8293 (0.473511 \%) \\
259 > W Lepton Pt cut          & 34.8561 (83.0056 \%)  & 23.7161 (13.8648 \%)  & 86.7924 (28.037 \%)   & 8.25515 (59.6931 \%) \\
260 > Passes HLT               & 34.7185 (99.6052 \%)  & 23.5679 (99.375 \%)   & 86.7924 (100 \%)      & 8.25515 (100 \%) \\
261 > Z mass window    & 31.5533 (90.8834 \%)  & 17.4906 (74.2138 \%)  & 51.8927 (59.7894 \%)  & 3.2585 (39.4724 \%) \\ \hline
262 > Overall efficiency  & 5.77899 \% & 0.0240354 \% & 0.00409279 \% & 0.0185605 \% \\
263   \hline
264   \end{tabular}
149
150
265   \begin{tabular}{lcccc} \hline
266 < Step   & WZ  & Z+jets  & TTbar+jets  & bbll\\ \hline
267 < All events       & 546   & 1.2679e+06    & 17556.1       & 72770.4 \\
268 < Found $Z \to ee$         & 219.517 (40.2045 \%)  & 520695 (41.0674 \%)   & 3474.61 (19.7914 \%)  & 29563.3 (40.6254 \%) \\
269 < Z electron ID loose      & 219.517 (100 \%)      & 520695 (100 \%)       & 3474.61 (100 \%)      & 29563.3 (100 \%) \\
270 < Z Lepton Pt cut          & 216.371 (98.5671 \%)  & 515556 (99.0131 \%)   & 3289.22 (94.6645 \%)  & 29109.9 (98.4665 \%) \\
271 < Z Lepton $eta$ cut       & 216.371 (100 \%)      & 515556 (100 \%)       & 3289.22 (100 \%)      & 29109.9 (100 \%) \\
272 < Z Lepton IP cut          & 206.797 (95.5751 \%)  & 492205 (95.4707 \%)   & 3011.11 (91.5448 \%)  & 27833.5 (95.6153 \%) \\
273 < Found $W \to \mu$        & 57.1892 (27.6547 \%)  & 5982.86 (1.21552 \%)  & 815.122 (27.0705 \%)  & 3808.22 (13.6821 \%) \\
274 < W Lepton $\eta$ cut      & 57.1695 (99.9656 \%)  & 5964.1 (99.6865 \%)   & 815.122 (100 \%)      & 3805.62 (99.9319 \%) \\
161 < W $\mu$ isolation        & 52.1367 (91.1967 \%)  & 2754.29 (46.1811 \%)  & 85.5097 (10.4904 \%)  & 1328.18 (34.9004 \%) \\
162 < W muon isolation         & 39.8889 (76.5083 \%)  & 22.2149 (0.806557 \%)         & 18.8521 (22.0468 \%)  & 16.6013 (1.24993 \%) \\
163 < Passes HLT               & 38.7683 (97.1907 \%)  & 21.2077 (95.466 \%)   & 16.5627 (87.8556 \%)  & 16.1566 (97.3214 \%) \\
164 < Z mass window    & 34.6399 (6.34429 \%)  & 17.3805 (0.00137081 \%)       & 5.4405 (0.0309891 \%)         & 14.0814 (0.0193505 \%) \\
266 > \multicolumn{5}{c}{ {\bf $2e1\mu$ Channel}} \\ \hline  \hline
267 > Step   & WZ  & bbll  & Z+jets  & \ttjets\\ \hline
268 > All events       & 546   & 72770.4       & 1.2679e+06    & 17556.1 \\
269 > Found $Z \to ee$         & 204.969 (37.5401 \%)  & 27800.5 (38.203 \%)   & 502344 (39.62 \%)     & 2920.59 (16.6357 \%) \\
270 > Found $W \to \mu$        & 47.9099 (23.3743 \%)  & 747.725 (2.68961 \%)  & 2194.09 (0.436771 \%)         & 56.7645 (1.9436 \%) \\
271 > W Lepton Pt cut          & 37.0973 (77.4313 \%)  & 9.63467 (1.28853 \%)  & 9.57604 (0.436446 \%)         & 17.5382 (30.8965 \%) \\
272 > Passes HLT               & 36.1929 (97.5623 \%)  & 9.26411 (96.1538 \%)  & 8.32189 (86.9033 \%)  & 15.2488 (86.9457 \%) \\
273 > Z mass window    & 32.5166 (89.8425 \%)  & 8.15242 (88 \%)       & 7.31467 (87.8968 \%)  & 4.91533 (32.2343 \%) \\ \hline
274 > Overall efficiency  & 5.95542 \% & 0.0112029 \% & 0.000576911 \% & 0.0279978 \% \\
275   \hline
276   \end{tabular}
277  
278   \begin{tabular}{lcccc} \hline
279 < Step   & WZ  & Z+jets  & TTbar+jets  & bbll\\ \hline
280 < All events       & 546   & 1.2679e+06    & 17556.1       & 72770.4 \\
281 < Found $Z \to \mu\mu$     & 326.484 (59.7955 \%)  & 748256 (59.0152 \%)   & 14081.6 (80.2087 \%)  & 43207.1 (59.3746 \%) \\
282 < Z muon isolation                 & 282.27 (86.4575 \%)   & 669556 (89.4822 \%)   & 4201.52 (29.837 \%)   & 37959.1 (87.8538 \%) \\
283 < Z Lepton $eta$ cut       & 282.27 (100 \%)       & 669547 (99.9987 \%)   & 4200.47 (99.975 \%)   & 37959.1 (99.9998 \%) \\
284 < Z Lepton Pt cut                  & 274.249 (97.1584 \%)  & 657267 (98.1659 \%)   & 3626.81 (86.3429 \%)  & 36945.8 (97.3306 \%) \\
285 < Z Lepton IP cut                  & 249.792 (91.0824 \%)  & 603257 (91.7827 \%)   & 3125.35 (86.1737 \%)  & 33937.7 (91.8581 \%) \\
286 < Found $W \to e$          & 51.9401 (20.7933 \%)  & 797.766 (0.132243 \%)         & 20.4415 (0.654055 \%)         & 228.342 (0.672826 \%) \\
287 < W Lepton $\eta$ cut      & 51.9401 (100 \%)      & 797.766 (100 \%)      & 20.4415 (100 \%)      & 228.342 (100 \%) \\
288 < W tight electron ID              & 51.9401 (100 \%)      & 797.766 (100 \%)      & 20.4415 (100 \%)      & 228.342 (100 \%) \\
179 < W Lepton Pt cut                  & 43.2703 (83.3081 \%)  & 519.647 (65.1378 \%)  & 15.0823 (73.7829 \%)  & 55.14 (24.148 \%)\\
180 < Passes HLT               & 41.8745 (96.7742 \%)  & 490.859 (94.46 \%)    & 13.533 (89.7275 \%)   & 54.2506 (98.3871 \%) \\
181 < Z mass window    & 37.5298 (6.87358 \%)  & 63.522 (0.00501 \%)   & 5.02282 (0.02861 \%)  & 20.0105 (0.0274981 \%) \\
279 > \multicolumn{5}{c}{ {\bf $2\mu1e$ Channel}} \\ \hline  \hline
280 > Step   & WZ  & bbll  & Z+jets  & TTbar+jets\\ \hline
281 > All events       & 546   & 72770.4       & 1.2679e+06    & 17556.1 \\
282 > Found $Z \to \mu\mu$     & 233.75 (42.8114 \%)   & 31889.4 (43.8219 \%)  & 577257 (45.5284 \%)   & 2778.81 (15.8282 \%) \\
283 > Found $W \to e$          & 48.7553 (20.8579 \%)  & 213.519 (0.669562 \%)         & 701.695 (0.121557 \%)         & 15.1085 (0.543704 \%) \\
284 > W Lepton Pt cut                  & 40.6556 (83.3871 \%)  & 50.6191 (23.707 \%)   & 464.493 (66.196 \%)   & 10.2745 (68.0047 \%) \\
285 > $\Delta R(e,\mu)$ cut    & 40.5573 (99.7582 \%)  & 23.3456 (46.1201 \%)  & 92.9813 (20.0178 \%)  & 7.14967 (69.5865 \%) \\
286 > Passes HLT                       & 39.4171 (97.1886 \%)  & 23.1973 (99.3651 \%)  & 88.7791 (95.4806 \%)  & 6.6245 (92.6546 \%) \\
287 > Z mass window    & 35.5638 (90.2244 \%)  & 18.8988 (81.4696 \%)  & 50.2509 (56.6022 \%)  & 2.84083 (42.8837 \%) \\ \hline
288 > Overall efficiency  & 6.51352 \% & 0.0259704 \% & 0.00396331 \% & 0.0161814 \% \\
289   \hline
290   \end{tabular}
291  
292 +
293   \begin{tabular}{lcccc} \hline
294 < Step   & WZ  & Z+jets  & TTbar+jets  & bbll\\ \hline
295 < All events       & 546   & 1.2679e+06    & 17556.1       & 72770.4 \\
296 < Found $Z \to \mu\mu$     & 326.484 (59.7955 \%)  & 748256 (59.0152 \%)   & 14081.6 (80.2087 \%)  & 43207.1 (59.3746 \%) \\
297 < Z muon isolation                 & 282.27 (86.4575 \%)   & 669556 (89.4822 \%)   & 4201.52 (29.837 \%)   & 37959.1 (87.8538 \%) \\
298 < Z Lepton $eta$ cut       & 282.27 (100 \%)       & 669547 (99.9987 \%)   & 4200.47 (99.975 \%)   & 37959.1 (99.9998 \%) \\
299 < Z Lepton Pt cut                  & 274.249 (97.1584 \%)  & 657267 (98.1659 \%)   & 3626.81 (86.3429 \%)  & 36945.8 (97.3306 \%) \\
300 < Z Lepton IP cut                  & 249.792 (91.0824 \%)  & 603257 (91.7827 \%)   & 3125.35 (86.1737 \%)  & 33937.7 (91.8581 \%) \\
301 < Found $W \to \mu$        & 73.015 (29.2303 \%)   & 7135.7 (1.18286 \%)   & 774.076 (24.7677 \%)  & 4435.51 (13.0696 \%) \\
302 < W Lepton $\eta$ cut      & 72.956 (99.9192 \%)   & 7110.07 (99.6409 \%)  & 774.076 (100 \%)      & 4432.32 (99.9282 \%) \\
195 < W $\mu$ isolation        & 66.724 (91.4578 \%)   & 3382.99 (47.5803 \%)  & 78.3017 (10.1155 \%)  & 1560.97 (35.2178 \%) \\
196 < W muon isolation         & 50.1118 (75.1031 \%)  & 6.25174 (0.184799 \%)         & 5.8096 (7.41951 \%)   & 20.6775 (1.32466 \%) \\
197 < Passes HLT               & 49.7972 (99.3723 \%)  & 6.25174 (100 \%)      & 5.8096 (100 \%)       & 20.6034 (99.6416 \%) \\
198 < Z mass window    & 45.1576 (8.27062 \%)  & 4.9976 (0.000394162 \%)       & 1.683 (0.00958638 \%)         & 18.3059 (0.0251557 \%) \\
294 > \multicolumn{5}{c}{ {\bf $3\mu$ Channel}} \\ \hline  \hline
295 > Step   & WZ  & bbll  & Z+jets  & TTbar+jets\\ \hline
296 > All events       & 546   & 72770.4       & 1.2679e+06    & 17556.1 \\
297 > Found $Z \to \mu\mu$     & 233.75 (42.8114 \%)   & 31889.4 (43.8219 \%)  & 577257 (45.5284 \%)   & 2778.81 (15.8282 \%) \\
298 > Found $W \to \mu$        & 57.7986 (24.7267 \%)  & 810.721 (2.54229 \%)  & 2520.69 (0.436668 \%)         & 35.3061 (1.27054 \%) \\
299 > W Lepton Pt cut                  & 44.2533 (76.5646 \%)  & 8.89355 (1.09699 \%)  & 1.84115 (0.0730414 \%)        & 1.683 (4.76688 \%) \\
300 > Passes HLT                       & 43.9977 (99.4225 \%)  & 8.89355 (100 \%)      & 1.84115 (100 \%)      & 1.683 (100 \%) \\
301 > Z mass window    & 40.0462 (91.0188 \%)  & 7.78185 (87.5 \%)     & 1.84115 (100 \%)      & 1.15783 (68.7957 \%) \\ \hline
302 > Overall efficiency  & 7.33446 \% & 0.0106937 \% & 0.000145212 \% & 0.00659501 \% \\
303   \hline
304   \end{tabular}
305 +
306 +
307   \caption{Expected number of signal and background events passing the different
308 <  selections steps in the \WZ, \ttbar and \Zbbbar samples for an integrated luminosity
308 >  selections steps in the \WZ, \Zbbbar, \Zjets and \ttjets samples for an integrated luminosity
309    of 1 \invfb.}
310   \label{tab:sel-effA}
311   \end{center}
# Line 207 | Line 313 | Z mass window    & 45.1576 (8.27062 \%)
313  
314  
315  
316 < \subsection{Signal extraction}
316 > %\subsection{Signal extraction}
317 > %\input D0Matrix
318 > \input zjetbackground
319  
320  
321 < \subsection{Systematic uncertainties}
321 > \section{Systematic uncertainties}
322 > \input Sys
323  
324  
325 + \begin{figure}[bt]
326 +  \begin{center}
327 +  \scalebox{0.8}{\includegraphics{figs/met_by_channel.eps}}
328 +  \caption{Missing transverse mass for the four signal categories.
329 +    The distributions  show the number of expected events
330 +    for $1 fb^{-1}$. Only events with 81.1 GeV $< M_Z < $ 101.1 \gev
331 +    are shown. All selection cuts are applied.}
332 +  \label{fig:met}
333 +  \end{center}
334 + \end{figure}
335  
336   \begin{figure}[bt]
337    \begin{center}
338    \scalebox{0.8}{\includegraphics{figs/mtw_by_channel.eps}}
339    \caption{W transverse mass for the four signal categories.
340      The distributions  show the number of expected events
341 <    for $1 fb^{-1}$. Only events with 81.1 GeV $< M_Z < $ 101.1 GeV are shown.}
341 >    for $1 fb^{-1}$. Only events with 81.1 GeV $< M_Z < $ 101.1 GeV are shown.
342 >    All selection cuts are applied.}
343    \label{fig:mtw}
344    \end{center}
345   \end{figure}
346 +
347 +
348 +
349 +
350 + \begin{table}[tbp]
351 + \begin{center}
352 + \begin{tabular}{lccccc}
353 + \hline \hline
354 + & \multicolumn{5}{c}{$Z \to ee $} \\
355 +   &  $W \to e$
356 +   &  $W \to \mu$
357 +   &  $W \to \tau \to e$
358 +   &  $W \to \tau \to \mu$
359 +   &  $W \to \tau \to hadrons$
360 + \\ \hline
361 + $3e$       &  17.4 \%  &  0.0319 \%  &  6.42 \%  &  0 \%  &  0.162 \% \\
362 + $2e1\mu$   &  0 \%  &  18.6 \%  &  0 \%  &  5.53 \%  &  0.0485 \% \\
363 + $2\mu1e$   &  0 \%  &  0 \%  &  0 \%  &  0 \%  &  0 \% \\
364 + $3\mu$     &  0 \%  &  0 \%  &  0 \%  &  0 \%  &  0 \% \\
365 + \hline \hline
366 + & \multicolumn{5}{c}{$Z \to \mu\mu $} \\
367 +   &  $W \to e$
368 +   &  $W \to \mu$
369 +   &  $W \to \tau \to e$
370 +   &  $W \to \tau \to \mu$
371 +   &  $W \to \tau \to hadrons$
372 + \\ \hline
373 + $3e$        &  0 \%  &  0 \%  &  0 \%  &  0 \%  &  0 \% \\
374 + $2e1\mu$   &  0.0104 \%  &  0 \%  &  0 \%  &  0 \%  &  0 \% \\
375 + $2\mu1e$   &  19.6 \%  &  0.0208 \%  &  5.56 \%  &  0 \%  &  0.18 \% \\
376 + $3\mu$     &  0 \%  &  23.4 \%  &  0.0573 \%  &  6.77 \%  &  0.0164 \% \\
377 + \hline \hline
378 + \end{tabular}
379 + \end{center}
380 + \caption{Selection efficiency for signal events in the four selection channels for the different
381 +  generated \W and \Z decay channels.}
382 + \label{tab:wz-effimatrix}
383 + \end{table}
384 +
385 +
386 + \begin{table}[tbp]
387 + \begin{center}
388 + \begin{tabular}{llcc} \hline
389 +  & & \multicolumn{2}{c}{Generated decay:} \\
390 +  & & \multicolumn{2}{c}{$Z \to ee $} \\
391 + Selection channel  &    &  $W \to e$   &  $W \to \mu$ \\ \hline
392 + \hline \hline
393 + \multicolumn{4}{c}{all} \\ \hline
394 + $3e$        & all & 1644         & 3    \\
395 + $3e$        & matched Z & 0.937+/-0.00598 & 1+/-0\\
396 + $3e$        & matched W & 0.915+/-0.00688 & 0+/--1\\
397 + $3e$        & matched WZ & 0.914+/-0.00691 & 0+/--1\\
398 + \hline \hline
399 + \multicolumn{4}{c}{exactly 1 W lepton candidate} \\ \hline
400 + $3e$        & all & 1602         & 0    \\
401 + $3e$        & matched Z & 0.938+/-0.00604 & -1+/--1\\
402 + $3e$        & matched W & 0.915+/-0.00696 & -1+/--1\\
403 + $3e$        & matched WZ & 0.914+/-0.00699 & -1+/--1\\
404 + \hline \hline
405 + \multicolumn{4}{c}{more than 1 W lepton candidate} \\ \hline
406 + $3e$        & all & 42   & 3    \\
407 + $3e$        & matched Z & 0.929+/-0.0397 & 1+/-0\\
408 + $3e$        & matched W & 0.905+/-0.0453 & 0+/--1\\
409 + $3e$        & matched WZ & 0.905+/-0.0453 & 0+/--1\\
410 + \hline \hline
411 + \multicolumn{4}{c}{all} \\ \hline
412 + $2e1\mu$   & all & 0     & 1746 \\
413 + $2e1\mu$   & matched Z & -1+/--1 & 0.999+/-0.000573\\
414 + $2e1\mu$   & matched W & -1+/--1 & 1+/-0\\
415 + $2e1\mu$   & matched WZ & -1+/--1 & 0.999+/-0.000573\\
416 + \hline \hline
417 + \multicolumn{4}{c}{exactly 1 W lepton candidate} \\ \hline
418 + $2e1\mu$   & all & 0     & 1715 \\
419 + $2e1\mu$   & matched Z & -1+/--1 & 0.999+/-0.000583\\
420 + $2e1\mu$   & matched W & -1+/--1 & 1+/-0\\
421 + $2e1\mu$   & matched WZ & -1+/--1 & 0.999+/-0.000583\\
422 + \hline \hline
423 + \multicolumn{4}{c}{more than 1 W lepton candidate} \\ \hline
424 + $2e1\mu$   & all & 0     & 31   \\
425 + $2e1\mu$   & matched Z & -1+/--1 & 1+/-0\\
426 + $2e1\mu$   & matched W & -1+/--1 & 1+/-0\\
427 + $2e1\mu$   & matched WZ & -1+/--1 & 1+/-0\\ \hline \hline
428 + \end{tabular}
429 + \end{center}
430 + \caption{Fractions of events with correctly matched leptons
431 +  to true decay product of \W and \Z decays for final states
432 +  with generated $\Z\to ee$ decays}
433 + \label{tab:wz-matcheffi-Zee}
434 + \end{table}
435 +
436 +
437 +
438 + \begin{table}[tbp]
439 + \begin{center}
440 + \begin{tabular}{llcc} \hline
441 +  & & \multicolumn{2}{c}{Generated decay:} \\
442 + & & \multicolumn{2}{c}{$Z \to \mu\mu $} \\
443 + Selection channel  &    &  $W \to e$   &  $W \to \mu$
444 + \\ \hline
445 + \hline \hline
446 + \multicolumn{4}{c}{all} \\ \hline
447 + $2\mu1e$   & all & 1895  & 2    \\
448 + $2\mu1e$   & matched Z & 1+/-0 & 1+/-0\\
449 + $2\mu1e$   & matched W & 0.985+/-0.00282 & 0+/--1\\
450 + $2\mu1e$   & matched WZ & 0.985+/-0.00282 & 0+/--1\\
451 + \hline \hline
452 + \multicolumn{4}{c}{exactly 1 W lepton candidate} \\ \hline
453 + $2\mu1e$   & all & 1847  & 0    \\
454 + $2\mu1e$   & matched Z & 1+/-0 & -1+/--1\\
455 + $2\mu1e$   & matched W & 0.986+/-0.00274 & -1+/--1\\
456 + $2\mu1e$   & matched WZ & 0.986+/-0.00274 & -1+/--1\\
457 + \hline \hline
458 + \multicolumn{4}{c}{more than 1 W lepton candidate} \\ \hline
459 + $2\mu1e$   & all & 48    & 2    \\
460 + $2\mu1e$   & matched Z & 1+/-0 & 1+/-0\\
461 + $2\mu1e$   & matched W & 0.938+/-0.0349 & 0+/--1\\
462 + $2\mu1e$   & matched WZ & 0.938+/-0.0349 & 0+/--1\\
463 + \hline \hline
464 + \multicolumn{4}{c}{all} \\ \hline
465 + $3\mu$     & all & 0     & 2251 \\
466 + $3\mu$     & matched Z & -1+/--1 & 0.943+/-0.00488\\
467 + $3\mu$     & matched W & -1+/--1 & 0.933+/-0.00526\\
468 + $3\mu$     & matched WZ & -1+/--1 & 0.933+/-0.00526\\
469 + \hline \hline
470 + \multicolumn{4}{c}{exactly 1 W lepton candidate} \\ \hline
471 + $3\mu$     & all & 0     & 2207 \\
472 + $3\mu$     & matched Z & -1+/--1 & 0.944+/-0.0049\\
473 + $3\mu$     & matched W & -1+/--1 & 0.934+/-0.00529\\
474 + $3\mu$     & matched WZ & -1+/--1 & 0.934+/-0.00529\\
475 + \hline \hline
476 + \multicolumn{4}{c}{more than 1 W lepton candidate} \\ \hline
477 + $3\mu$     & all & 0     & 44   \\
478 + $3\mu$     & matched Z & -1+/--1 & 0.909+/-0.0433\\
479 + $3\mu$     & matched W & -1+/--1 & 0.909+/-0.0433\\
480 + $3\mu$     & matched WZ & -1+/--1 & 0.909+/-0.0433\\ \hline \hline
481 + \end{tabular}
482 + \end{center}
483 + \caption{Fractions of MC \WZ events with correctly matched leptons
484 +  to true decay product of \W and \Z decays for final states
485 +  with generated $\Z\to \mu\mu$ decays}
486 + \label{tab:wz-matcheffi-Zmumu}
487 + \end{table}
488 +

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