1 |
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\section{Event reconstruction} |
2 |
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\label{sec:eventReconstruction} |
3 |
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|
4 |
< |
\subsection{Trigger selection and efficiencies} |
4 |
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We categorize \WZ\ three-lepton final state as following |
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\begin{itemize} |
6 |
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\item $3e$: for \WZ events with $\W \to e \nu$ and $\Z\to \epem$. |
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\item $2e1\mu$: for \WZ events with $\W \to \mu \nu$ and $\Z\to \epem$. |
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\item $2\mu 1e$: for \WZ events with $\W \to e \nu$ and $\Z\to \mumu$. |
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\item $3\mu$: for \WZ events with $\W \to \mu \nu$ and $\Z\to \mumu$. |
10 |
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\end{itemize} |
11 |
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|
12 |
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|
13 |
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\subsection{Lepton identification} |
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\subsection{Trigger selection and efficiencies} |
14 |
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|
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Events stemming from the three-lepton final states of $\WZ$ production |
16 |
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are collected by the electron and/or muon triggers. For each channel, |
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a minimun number of HLT requirements is chosen while keeping |
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the HLT efficiency for selected events close to 100\%. The same |
19 |
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HLT requirements are used for channels with the same \Z decay mode: |
20 |
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\begin{itemize} |
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\item for $3e$ and $2e1\mu$: HLTSingleElectron or HLTDoubleElectronRelaxed |
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\item for $2\mu1e$ and $3\mu$: HLTSingleMuonIso |
23 |
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\end{itemize} |
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The HLT efficiencies for all modes for events passing the full |
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selection described in this section are given in table~\ref{tab:hlteff}. |
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|
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\begin{table}[tbph] |
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\begin{center} |
29 |
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|
30 |
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\begin{tabular}{llc} \hline \hline |
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Channel & HLT selection & HLT efficiency \\ \hline |
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$3e$ & HLTSingleElectron or HLTDoubleElectronRelaxed & 0.996 \\ |
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$2e1\mu$ & HLTSingleElectron or HLTDoubleElectronRelaxed & 0.969 \\ |
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$2\mu 1e$ & HLTSingleMuonIso & 0.966 \\ |
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$3\mu$ & HLTSingleMuonIso & 0.994 \\ \hline \hline |
36 |
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\end{tabular} |
37 |
+ |
|
38 |
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\end{center} |
39 |
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\caption{HLT Efficiencies, in percent, for all |
40 |
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the events in the generated phase space that have been retained by |
41 |
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the complete event selection.} |
42 |
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\label{tab:hlteff} |
43 |
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\end{table} |
44 |
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|
45 |
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|
46 |
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\begin{figure}[tbp] |
47 |
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\begin{center} |
48 |
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\scalebox{0.7}{\includegraphics{figs/mu_isol.eps}} |
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\caption{Muon isolation variables for the muon associated |
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to the \W boson decay in $2e1\mu$ events: in the left plot |
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we illustrate the sum of calorimetric energy in a $\Delta R=0.3$ cone |
52 |
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around the muon candidate; in the right plot we display the sum of |
53 |
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transverse momenta of tracks within a $\Delta R = 0.25$ cone around |
54 |
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the muon candidate. The normalization of signal and background |
55 |
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distributions is arbitrary. |
56 |
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} |
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\label{fig:mu_isol} |
58 |
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\end{center} |
59 |
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\end{figure} |
60 |
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|
61 |
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\begin{figure}[tb] |
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\begin{center} |
63 |
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\scalebox{0.6}{\includegraphics{figs/mu_SIP.eps}} |
64 |
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\caption{ |
65 |
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Muon impact parameter significance distribution |
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in $2e1\mu$ events. The normalization of signal and background |
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distributions is arbitrary. |
68 |
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} |
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\label{fig:mu_SIP} |
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\end{center} |
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\end{figure} |
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|
73 |
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|
74 |
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\subsection{\WZ candidate selection} |
74 |
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\subsection{Lepton identification} |
75 |
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\label{sec:leptonId} |
76 |
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|
77 |
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The requirements used for electron identification in this analysis are described |
78 |
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in~\cite{noteElectronID}. |
79 |
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|
80 |
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\subsection{Signal extraction} |
80 |
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Muon candidates are selected from global muons, which are reconstructed |
81 |
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by combining measurements in the muon chambers and the central tracker. |
82 |
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An additional isolation criterion is imposed to require the energy |
83 |
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measured in the calorimeters within a $\Delta R = 0.3$ cone around the |
84 |
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muon to be smaller than 3 GeV and the sum of the $p_T$ of tracks |
85 |
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within a $\Delta R = 0.25$ cone around the muon must be smaller than 2 GeV. |
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These cuts reduce the background from muons originated in |
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\b-quark decays of the $\Zbbbar$ background, which are close to tracks |
88 |
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and clusters from the other \b-quark decay products. |
89 |
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|
90 |
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%Figures~\ref{fig:muonisol} and ~\ref{fig:muonisoleffi} show the |
91 |
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%performance of the isolation cut. The distribution of the isolation |
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%variables for the $\Z\b\bbar(\epem\b\bbar)$ is particularly |
93 |
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%interesting, since muons only stem from \b-quark decays. |
94 |
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|
95 |
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The significance of the muon impact parameter in the plane |
96 |
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transverse to the beam, $S_{IP}$, discriminates against leptons from |
97 |
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heavy-quark decays in all standard model background processes. This |
98 |
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variable is defined as the ratio between the measured impact parameter |
99 |
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and its uncertainty: $S_{IP}=IP/\sigma_{IP}$, and is required to |
100 |
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satisfy $S_{IP}<3$. This requirement is applied only for muon candidates |
101 |
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and not for electrons. For electron candidates, a significant fraction of the |
102 |
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background comes from misidentified light quark jets. Thus, |
103 |
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the requirement on the impact parameter significance does not |
104 |
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increase the significance of the $\W\to e$ channels, as can be seen in |
105 |
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Fig.~\ref{fig:wl_IP_SvsCut}. |
106 |
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|
107 |
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\begin{figure}[p] |
108 |
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\begin{center} |
109 |
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\scalebox{0.6}{\includegraphics{figs/wl_IP_eff.eps}} |
110 |
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\caption{Efficiency for signal and background as a function |
111 |
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of the requirement on the \W-boson lepton impact parameter |
112 |
> |
significance. All other criteria but the one on impact parameter |
113 |
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significance are applied. |
114 |
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% Only events with 81.1 GeV $< M_Z < $ 101.1 \gev |
115 |
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% are considered. |
116 |
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} |
117 |
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\label{fig:wl_IP_eff} |
118 |
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\end{center} |
119 |
> |
%\end{figure} |
120 |
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|
121 |
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%\begin{figure}[bt] |
122 |
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\begin{center} |
123 |
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\scalebox{0.6}{\includegraphics{figs/wl_IP_SvsCut.eps}} |
124 |
> |
\caption{Signal significance as a function of requirement on |
125 |
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the \W-boson lepton impact parameter significance. All other criteria but |
126 |
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the requirement on the impact parameter significance are applied. |
127 |
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% Only events with 81.1 GeV $< M_Z < $ 101.1 \gev are considered. |
128 |
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} |
129 |
> |
\label{fig:wl_IP_SvsCut} |
130 |
> |
\end{center} |
131 |
> |
\end{figure} |
132 |
> |
|
133 |
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|
134 |
> |
\begin{table}[tbp] |
135 |
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\begin{tabular}{|l|c|c|c|c|} \hline |
136 |
> |
& $3e$ & $2e1\mu$ & $2\mu 1e$ & $3\mu$ \\ \hline \hline |
137 |
> |
\multicolumn{5}{|c|}{Lepton selection} \\ \hline |
138 |
> |
Electrons & \multicolumn{3}{|c|}{{\tt SimpleLoose} requirements for \Z reconstruction} & \\ |
139 |
> |
& \multicolumn{3}{|c|}{{\tt SimpleTight} requirements for \W} & \\ \hline |
140 |
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Muons & & \multicolumn{3}{|c|}{ Track Isolation:$ {\tt IsoTrack}(\Delta R= 0.25) < 2 \gev$} \\ |
141 |
> |
& & \multicolumn{3}{|c|}{ Calorimetric Isolation:$ {\tt IsoCalo}(\Delta R = 0.3) < 5 \gev$} \\ |
142 |
> |
& & \multicolumn{3}{|c|}{$S_{IP}=IP/\sigma_{IP}<3$ } \\ \hline |
143 |
> |
HLT requirement & \multicolumn{2}{|c|}{ HLTSingleElectron or HLTDoubleElectronRelaxed} |
144 |
> |
& \multicolumn{2}{|c|}{ HLTSingleMuonIso} \\ \hline |
145 |
> |
\multicolumn{5}{|c|}{\Z reconstruction} \\ \hline |
146 |
> |
Lepton cuts & \multicolumn{4}{|c|}{for both \Z leptons: $p_T > 15$ GeV} \\ |
147 |
> |
Mass window & \multicolumn{4}{|c|}{$50 \gev < M_Z < 120 \gev $ } \\ |
148 |
> |
Second \Z veto & \multicolumn{4}{|c|}{No independent second \Z candidate with $50 \gev < M_Z < 120 \gev $ } \\ \hline |
149 |
> |
\multicolumn{5}{|c|}{\W lepton selection} \\ \hline |
150 |
> |
|
151 |
> |
Other cuts & & & $\Delta R(\mu_Z,e_W)>0.1$ & \\ \hline |
152 |
> |
Signal region & \multicolumn{4}{|c|}{$81 \gev < M_Z < 101 \gev $ } \\ \hline \hline |
153 |
> |
|
154 |
> |
\end{tabular} |
155 |
> |
\caption{Summary of the criteria we use to select \WZ\ final state} |
156 |
> |
\label{tab:allcuts} |
157 |
> |
\end{table} |
158 |
> |
|
159 |
> |
|
160 |
> |
\begin{figure}[p] |
161 |
> |
\begin{center} |
162 |
> |
\scalebox{0.6}{\includegraphics{figs/wlpt_cuteff.eps}} |
163 |
> |
\caption{Efficiency for signal and background as a function |
164 |
> |
of the cut value on the \W-boson lepton transverse momentum. |
165 |
> |
All other cuts but the cut on this variable are applied. |
166 |
> |
Only events with 81.1 GeV $< M_Z < $ 101.1 \gev |
167 |
> |
are considered.} |
168 |
> |
\label{fig:wlpt_cuteff} |
169 |
> |
\end{center} |
170 |
> |
%\end{figure} |
171 |
> |
|
172 |
> |
%\begin{figure}[bt] |
173 |
> |
\begin{center} |
174 |
> |
\scalebox{0.6}{\includegraphics{figs/wlpt_cutS.eps}} |
175 |
> |
\caption{Signal significance as a function of the cut value on |
176 |
> |
the \W-boson lepton transverse momentum. All other cuts but |
177 |
> |
the cut on this variable are applied. Only events with |
178 |
> |
81.1 GeV $< M_Z < $ 101.1 \gev are considered.} |
179 |
> |
\label{fig:wlpt_cutS} |
180 |
> |
\end{center} |
181 |
> |
\end{figure} |
182 |
|
|
183 |
|
|
184 |
< |
\subsection{Systematic uncertainties} |
184 |
> |
\subsection{\WZ candidate selection} |
185 |
|
|
186 |
+ |
Events are accepted if they contain at least three charged leptons, |
187 |
+ |
either electrons or muons, with $p_T > 15\,\mathrm{GeV}$ and $| \eta | < 2.5$ for |
188 |
+ |
electrons,$| \eta | < 2.4$ for muons, as discussed in Section~\ref{sec:leptonId}. |
189 |
+ |
|
190 |
+ |
The \WZ candidate selection proceeds from building all possible |
191 |
+ |
\Z-boson candidates from same-flavour opposite-charge lepton pairs. |
192 |
+ |
For $\Z \to ee$ decays, electron candidates have to fulfill the loose requirements |
193 |
+ |
defined in~\cite{noteElectronID}. |
194 |
+ |
|
195 |
+ |
Events are retained if the mass of the \Z boson candidate is |
196 |
+ |
within 20 GeV of the \Z boson mass, $m_Z$. The event is |
197 |
+ |
rejected if a second \Z candidate is found. This second \Z boson candidate is formed |
198 |
+ |
using all possible same-flavour opposite-charge combinations which are left |
199 |
+ |
after removing the two leptons already used for the first \Z boson candidate. This |
200 |
+ |
secondary \Z boson veto helps to suppress $\Z\Z$ events. |
201 |
+ |
%The invariant |
202 |
+ |
%mass distribution for accepted \Z candidates is shown in |
203 |
+ |
%Figure~\ref{fig:zcandidates}. |
204 |
+ |
|
205 |
+ |
% and the \Z mass resolution is shown in |
206 |
+ |
%Figure~\ref{fig:dzmass}. |
207 |
+ |
|
208 |
+ |
After the \Z boson candidate is identified, the remaining leptons in the event |
209 |
+ |
are required to pass the tight criteria described in~\cite{noteElectronID}. |
210 |
+ |
If more than one lepton candidate satisfies the tight requirements, the one with the |
211 |
+ |
highest $p_T$ is associated with \W boson decay. This lepton's $p_T$ is effective |
212 |
+ |
discriminant against \Zbbbar and \Zjets production (see Fig.~\ref{fig:wlpt_cuteff}). |
213 |
+ |
We require the transverse momentum to exceed 20 GeV, as it maximizes |
214 |
+ |
the significance of the \WZ\ signal with respect to background as shown in |
215 |
+ |
Fig.~\ref{wlpt_cuteff}. |
216 |
+ |
|
217 |
+ |
An additional requirement on the isolation between electron and muon candidates is applied |
218 |
+ |
for the $2\mu 1e$ channel, by demanding the value of $\Delta R$ between the electron |
219 |
+ |
candidate associated with the \W boson decay and any of the two muons associated with |
220 |
+ |
the \Z boson decay to be greater than 0.1. |
221 |
+ |
|
222 |
+ |
This requirement allows suppressing the contribution of $\Z \to \mu\mu$ |
223 |
+ |
decays, where one of the two muons radiates a photon which is reconstructed |
224 |
+ |
as an electron, possibly after conversion. This can be seen as a peak in the dimuon |
225 |
+ |
invariant mass at around 60 GeV in Fig.~\ref{fig:Z2mu1e_60GeVPeak}. |
226 |
+ |
|
227 |
+ |
The summary of the selection criteria is given in Table~\ref{tab:allcuts}. |
228 |
+ |
|
229 |
+ |
The expected number of the events satisfying the sequential steps of the selection |
230 |
+ |
is listed in Tables~\ref{tab:sel-effA}. |
231 |
+ |
In Table~\ref{tab:wz-effimatrix} we list the total selection efficiency for different |
232 |
+ |
\W and \Z boson decay modes. It can be seen lepton candidates from \W and \Z |
233 |
+ |
boson decays are almost always are reconstructed with the correct flavor. As expected, |
234 |
+ |
there is a small contribution from $\W \to \tau \nu_\tau \to \ell \nu_\ell \nu_\tau$ |
235 |
+ |
decays. However, this contribution is suppressed, mostly due to $p_T$ requirement |
236 |
+ |
on the third lepton, as leptons from $\tau$ decays are not as energetic as those from |
237 |
+ |
$\W \to \ell \nu$ processes. |
238 |
+ |
|
239 |
+ |
In Tables~ref\label{tab:wz-matcheffi-Zee} and \label{tab:wz-matcheffi-Zmumu} we |
240 |
+ |
display the fraction of reconstructed \WZ events with correctly-matched leptons. |
241 |
+ |
It can be seen that the lepton associated with the \W boson decay is correctly matched |
242 |
+ |
to the true Monte Carlo lepton from the \W boson decay in more than 90\% of |
243 |
+ |
the cases, even for events with several lepton candidates available to be associated |
244 |
+ |
to the \W boson decay. The choice to take the lepton candidate with the leading $p_T$ is, |
245 |
+ |
therefore, justified. |
246 |
+ |
|
247 |
+ |
\begin{table}[p] |
248 |
+ |
\begin{center} |
249 |
+ |
|
250 |
+ |
|
251 |
+ |
|
252 |
+ |
|
253 |
+ |
\begin{tabular}{lcc|cc|cc|cc|c} \hline \hline |
254 |
+ |
\multicolumn{9}{c}{ {\bf $3e$ Channel}} \\ \hline \hline |
255 |
+ |
Step & \WZ & $\epsilon$ & $b\bar{b}\ell\ell$ & $\epsilon$ & $\Z+jets$ & $\epsilon$ & $t\bar{t}+jets$ & $\epsilon$ \\ \hline |
256 |
+ |
All events & 546 & & 72,700 & & 1,268,000 & & 17,600 & \\ |
257 |
+ |
Found $\Z \to ee$ & 205 & 38\% & 27,800 & 38\% & 502,300 & 40\% & 2,920 & 17\% \\ |
258 |
+ |
Found $\W \to e\nu$ & 42.0 & 21\% & 171 & 0.6\% & 309.6 & 0.06\% & 13.8 & 0.5\% \\ |
259 |
+ |
\W lepton $p_T$ cut & 34.9 & 83\% & 23.7 & 14\% & 86.8 & 28 \% & 8.3 & 60\% \\ |
260 |
+ |
Passes HLT & 34.7 & 100\% & 23.6 & 99\% & 86.8 &100\% & 8.3 & 100\% \\ |
261 |
+ |
\Z mass window & 31.6 & 91\% & 17.5 & 74\% & 51.9 &60\% & 3.3 & 39\% \\ \hline |
262 |
+ |
Overall efficiency & & 5.8\% & & 0.024\% & & 0.0041\% & & 0.019\% \\ |
263 |
+ |
\hline\hline |
264 |
+ |
|
265 |
+ |
\multicolumn{9}{c}{ {\bf $2e1\mu$ Channel}} \\ \hline \hline |
266 |
+ |
Step & \WZ & $\epsilon$ & $b\bar{b}\ell\ell$ & $\epsilon$ & $\Z+jets$ & $\epsilon$ & $t\bar{t}+jets$ & $\epsilon$ \\ \hline |
267 |
+ |
All events & 546 & & 72,770 & & 1,268,000 & & 17,600 & \\ |
268 |
+ |
Found $\Z \to ee$ & 201 & 38\% & 27,800 & 38\% & 502,300 & 40\% & 2,921 &17\% \\ |
269 |
+ |
Found $\W \to \mu\nu$ & 47.9 & 23\% & 748 & 2.7\% & 2194 & 0.43\% & 56.8 &1.9\% \\ |
270 |
+ |
\W lepton $p_T$ cut & 37.1 & 77\% & 9.6 & 1.3\% & 9.6 & 0.4\% & 17.5 &31\% \\ |
271 |
+ |
Passes HLT & 36.2 & 98\% & 9.3 & 96\% & 8.3 & 87\% & 15.2 & 87 \%) \\ |
272 |
+ |
\Z mass window & 32.5 & 90\% & 8.2 & 88\% & 7.3 & 88\% & 4.9 & 32\%) \\ \hline |
273 |
+ |
Overall efficiency & & 6.0\% & & 0.011\% & & 0.00058\% & & 0.028\% \\ |
274 |
+ |
\hline \hline |
275 |
+ |
|
276 |
+ |
\multicolumn{9}{c}{ {\bf $2\mu1e$ Channel}} \\ \hline \hline |
277 |
+ |
Step & \WZ & $\epsilon$ & $b\bar{b}\ell\ell$ & $\epsilon$ & $\Z+jets$ & $\epsilon$ & $t\bar{t}+jets$ & $\epsilon$ \\ \hline |
278 |
+ |
All events & 546 & & 72,770 & & 1,268,000 & & 17,600 & \\ |
279 |
+ |
Found $\Z \to \mu\mu$ & 234 &43\%& 31,890 & 44\% & 577,200 & 46\% & 2779 & 16\% \\ |
280 |
+ |
Found $\W \to e\nu$ & 48.8 &21\%& 214 & 0.67\% & 702 & 0.12\% & 15.1 & 0.54\% \\ |
281 |
+ |
\W lepton $p_T$ cut & 40.7 &83\%& 50.6 & 24\% & 464.0 & 66\% & 10.3 & 68\% \\ |
282 |
+ |
$\Delta R(e,\mu)$ cut & 40.6&100\%& 23.3 & 46\% & 93.0 & 20\% & 7.1 & 70\% \\ |
283 |
+ |
Passes HLT & 39.4 &97\%& 23.2 & 99\% & 88.8 & 95\% & 6.6 & 93\% \\ |
284 |
+ |
\Z mass window & 35.6 & 90\% & 18.9 & 81\% & 50.3 & 57\% & 2.8 &44\% \\ \hline |
285 |
+ |
Overall efficiency & &6.5\% & & 0.026\% & & 0.0040\% & & 0.016\% \\ |
286 |
+ |
\hline \hline |
287 |
+ |
|
288 |
+ |
\multicolumn{9}{c}{ {\bf $3\mu$ Channel}} \\ \hline \hline |
289 |
+ |
Step & \WZ & $\epsilon$ & ${b\bar{b}\ell\ell}$ & $\epsilon$ & $\Z+jets$ & $\epsilon$ & ${t\bar{t}+jets}$ & $\epsilon$ \\ \hline |
290 |
+ |
All events & 546 & & 72,770 & & 1,268,000 & & 17,600 & \\ |
291 |
+ |
Found $Z \to \mu\mu$ & 234 & 43\% & 31,900 & 44\% & 577,000 & 45\% & 2779 & 16 \% \\ |
292 |
+ |
Found $W \to \mu$ & 58 & 25 \% & 811 & 2.5\% & 2521 & 0.44\% & 35.3 & 1.23 \% \\ |
293 |
+ |
W Lepton Pt cut & 44.2 & 77 \% & 8.9 & 1.1\% & 1.8 & 0.07\% & 1.7 & 4.8 \% \\ |
294 |
+ |
Passes HLT & 44.0 & 99\% & 8.9 & 100\% & 1.8 & 100 \% & 1.7 & 100 \% \\ |
295 |
+ |
Z mass window & 40.0 & 91 \%) & 7.8 & 88\% & 1.8 & 100 \% & 1.2 & 69\% \\ \hline |
296 |
+ |
Overall efficiency & & 7.3 \% & & 0.011\% & & 0.00015\% & & 0.0065\% \\ |
297 |
+ |
\hline |
298 |
+ |
\end{tabular} |
299 |
+ |
|
300 |
+ |
|
301 |
+ |
\caption{Expected number of signal and background events passing the different |
302 |
+ |
selections steps together with the efficiency of each requirement and total efficiency of |
303 |
+ |
selection criteria in the \WZ, \Zbbbar, \Zjets and \ttjets samples for an integrated luminosity |
304 |
+ |
of 1 \invfb.} |
305 |
+ |
\label{tab:sel-effA} |
306 |
+ |
\end{center} |
307 |
+ |
\end{table} |
308 |
+ |
|
309 |
+ |
\begin{table}[p] |
310 |
+ |
\begin{center} |
311 |
+ |
\begin{tabular}{l|ccccc} |
312 |
+ |
\hline \hline |
313 |
+ |
& \multicolumn{5}{c}{$\Z \to ee$ and \W decay modes below} \\ |
314 |
+ |
Reconstruction channel & $e \nu$ |
315 |
+ |
& $\mu \nu $ |
316 |
+ |
& $\tau \nu \to e \nu \nu $ |
317 |
+ |
& $\tau \nu \to \mu \nu \nu $ |
318 |
+ |
& $\tau \nu \to {\rm hadrons~} \nu$ |
319 |
+ |
\\ \hline |
320 |
+ |
$3e$ & 17.4 \% & 0.0319 \% & 6.42 \% & 0 \% & 0.162 \% \\ |
321 |
+ |
$2e1\mu$ & 0 \% & 18.6 \% & 0 \% & 5.53 \% & 0.0485 \% \\ |
322 |
+ |
$2\mu1e$ & 0 \% & 0 \% & 0 \% & 0 \% & 0 \% \\ |
323 |
+ |
$3\mu$ & 0 \% & 0 \% & 0 \% & 0 \% & 0 \% \\ |
324 |
+ |
\hline \hline |
325 |
+ |
|
326 |
+ |
& \multicolumn{5}{c}{$\Z \to \mu\mu$ and \W decay modes below} \\ |
327 |
+ |
Reconstruction channel & $e\nu$ |
328 |
+ |
& $\mu\nu$ |
329 |
+ |
& $\tau\nu \to e\nu\nu$ |
330 |
+ |
& $\tau\nu \to \mu\nu\nu$ |
331 |
+ |
& $\tau\nu \to {\rm hadrons~}\nu$ |
332 |
+ |
\\ \hline |
333 |
+ |
$3e$ & 0 \% & 0 \% & 0 \% & 0 \% & 0 \% \\ |
334 |
+ |
$2e1\mu$ & 0.0104 \% & 0 \% & 0 \% & 0 \% & 0 \% \\ |
335 |
+ |
$2\mu1e$ & 19.6 \% & 0.0208 \% & 5.56 \% & 0 \% & 0.18 \% \\ |
336 |
+ |
$3\mu$ & 0 \% & 23.4 \% & 0.0573 \% & 6.77 \% & 0.0164 \% \\ |
337 |
+ |
\hline \hline |
338 |
+ |
\end{tabular} |
339 |
+ |
\end{center} |
340 |
+ |
\caption{Selection efficiency for signal events in the four selection channels for the different |
341 |
+ |
generated \W and \Z decay channels.} |
342 |
+ |
\label{tab:wz-effimatrix} |
343 |
+ |
|
344 |
+ |
%\end{table} |
345 |
+ |
%\begin{table}[tbp] |
346 |
+ |
\begin{center} |
347 |
+ |
\begin{tabular}{llcc} \hline |
348 |
+ |
& & \multicolumn{2}{c}{Generated decay} \\ |
349 |
+ |
& & \multicolumn{2}{c}{$\Z \to ee $} \\ |
350 |
+ |
Selection channel & & $\W \to e\nu$ & $\W \to \mu\nu$ \\ |
351 |
+ |
\hline \hline |
352 |
+ |
\multicolumn{4}{c}{all} \\ \hline |
353 |
+ |
$3e$ & all & 1644 events & 3 events \\ |
354 |
+ |
$3e$ & matched \Z & 93$\pm$1\% & 100\%\\ |
355 |
+ |
$3e$ & matched \W & 92$\pm$1\% & 0\\ |
356 |
+ |
$3e$ & matched \WZ & 91$\pm$1\% & 0\\ |
357 |
+ |
\hline \hline |
358 |
+ |
|
359 |
+ |
\multicolumn{4}{c}{exactly 1 \W lepton candidate} \\ \hline |
360 |
+ |
$3e$ & all & 1602 events & 0 events \\ |
361 |
+ |
$3e$ & matched \Z & 94$\pm$1\% & 0\\ |
362 |
+ |
$3e$ & matched \W & 92$\pm$1\% & 0\\ |
363 |
+ |
$3e$ & matched \WZ & 91$\pm$1\% & 0\\ |
364 |
+ |
\hline \hline |
365 |
+ |
|
366 |
+ |
\multicolumn{4}{c}{more than 1 \W lepton candidate} \\ \hline |
367 |
+ |
$3e$ & all & 42 events & 3 events \\ |
368 |
+ |
$3e$ & matched \Z & 93$\pm$4\% & 100\%\\ |
369 |
+ |
$3e$ & matched \W & 91 $\pm$5\% & 0\\ |
370 |
+ |
$3e$ & matched \WZ & 91$\pm$5\% & 0\\ |
371 |
+ |
\hline \hline |
372 |
+ |
|
373 |
+ |
\multicolumn{4}{c}{all} \\ \hline |
374 |
+ |
$2e1\mu$ & all & 0 events & 1746 events \\ |
375 |
+ |
$2e1\mu$ & matched \Z & 0 & 100\%\\ |
376 |
+ |
$2e1\mu$ & matched \W & 0 & 100\%\\ |
377 |
+ |
$2e1\mu$ & matched \WZ & 0 & 100\%\\ |
378 |
+ |
\hline \hline |
379 |
+ |
|
380 |
+ |
\multicolumn{4}{c}{exactly 1 \W lepton candidate} \\ \hline |
381 |
+ |
$2e1\mu$ & all & 0 events & 1715 events \\ |
382 |
+ |
$2e1\mu$ & matched \Z & 0 & 100\%\\ |
383 |
+ |
$2e1\mu$ & matched \W & 0 & 100\%\\ |
384 |
+ |
$2e1\mu$ & matched \WZ & 0 & 100\%\\ |
385 |
+ |
\hline \hline |
386 |
+ |
|
387 |
+ |
\multicolumn{4}{c}{more than 1 \W lepton candidate} \\ \hline |
388 |
+ |
$2e1\mu$ & all & 0 & 31 \\ |
389 |
+ |
$2e1\mu$ & matched \Z & 0 & 100\%\\ |
390 |
+ |
$2e1\mu$ & matched \W & 0 & 100\%\\ |
391 |
+ |
$2e1\mu$ & matched \WZ & 0 & 100\% \\ \hline \hline |
392 |
+ |
\end{tabular} |
393 |
+ |
\end{center} |
394 |
+ |
\caption{Fractions of events with correctly matched leptons |
395 |
+ |
to true decay product of \W and \Z decays for final states |
396 |
+ |
with generated $\Z\to ee$ decays} |
397 |
+ |
\label{tab:wz-matcheffi-Zee} |
398 |
+ |
\end{table} |
399 |
+ |
|
400 |
+ |
|
401 |
+ |
|
402 |
+ |
\begin{table}[tbp] |
403 |
+ |
\begin{center} |
404 |
+ |
\begin{tabular}{llcc} \hline |
405 |
+ |
& & \multicolumn{2}{c}{Generated decay:} \\ |
406 |
+ |
& & \multicolumn{2}{c}{$\Z \to \mu\mu $} \\ |
407 |
+ |
Selection channel & & $\W \to e\nu$ & $\W \to \mu\nu$ |
408 |
+ |
\\ |
409 |
+ |
\hline \hline |
410 |
+ |
\multicolumn{4}{c}{all} \\ \hline |
411 |
+ |
$2\mu1e$ & all & 1895 events & 2 events \\ |
412 |
+ |
$2\mu1e$ & matched \Z & 100\% & 100\%\\ |
413 |
+ |
$2\mu1e$ & matched \W & 99$\pm$1\% & 0\\ |
414 |
+ |
$2\mu1e$ & matched \WZ & 99$\pm$1\% & 0\\ |
415 |
+ |
\hline \hline |
416 |
+ |
|
417 |
+ |
\multicolumn{4}{c}{exactly 1 \W lepton candidate} \\ \hline |
418 |
+ |
$2\mu1e$ & all & 1847 events & 0 events \\ |
419 |
+ |
$2\mu1e$ & matched \Z & 100\% & 0\\ |
420 |
+ |
$2\mu1e$ & matched \W & 99$\pm$1\% & 0\\ |
421 |
+ |
$2\mu1e$ & matched \WZ & 99$\pm$1\% & 0\\ |
422 |
+ |
\hline \hline |
423 |
+ |
|
424 |
+ |
\multicolumn{4}{c}{more than 1 \W lepton candidate} \\ \hline |
425 |
+ |
$2\mu1e$ & all & 48 events & 2 events \\ |
426 |
+ |
$2\mu1e$ & matched \Z & 100\% & 100\%\\ |
427 |
+ |
$2\mu1e$ & matched \W & 94$\pm$3.5\%& 0\\ |
428 |
+ |
$2\mu1e$ & matched \WZ & 94$\pm$3.5\% & 0\\ |
429 |
+ |
\hline \hline |
430 |
+ |
|
431 |
+ |
\multicolumn{4}{c}{all} \\ \hline |
432 |
+ |
$3\mu$ & all & 0 events & 2251 events \\ |
433 |
+ |
$3\mu$ & matched \Z & 0 & 94$\pm$1\%\\ |
434 |
+ |
$3\mu$ & matched \W & 0 & 93$\pm$1\%\\ |
435 |
+ |
$3\mu$ & matched \WZ & 0 & 93$\pm$1\%\\ |
436 |
+ |
\hline \hline |
437 |
+ |
|
438 |
+ |
\multicolumn{4}{c}{exactly 1 \W lepton candidate} \\ \hline |
439 |
+ |
$3\mu$ & all & 0 events & 2207 events \\ |
440 |
+ |
$3\mu$ & matched \Z & 0 & 94$\pm$1\%\\ |
441 |
+ |
$3\mu$ & matched \W & 0 & 93$\pm$1\%\\ |
442 |
+ |
$3\mu$ & matched \WZ & 0 & 93$\pm$1\%\\ |
443 |
+ |
\hline \hline |
444 |
+ |
|
445 |
+ |
\multicolumn{4}{c}{more than 1 \W lepton candidate} \\ \hline |
446 |
+ |
$3\mu$ & all & 0 events & 44 events \\ |
447 |
+ |
$3\mu$ & matched \Z & 0 & 91$\pm$4\%\\ |
448 |
+ |
$3\mu$ & matched \W & 0 & 91$\pm$4\%\\ |
449 |
+ |
$3\mu$ & matched \WZ & 0 & 91$\pm$4\%\\ \hline \hline |
450 |
+ |
\end{tabular} |
451 |
+ |
\end{center} |
452 |
+ |
\caption{Fractions of MC \WZ events with correctly matched leptons |
453 |
+ |
to true decay product of \W and \Z decays for final states |
454 |
+ |
with generated $\Z\to \mu\mu$ decays} |
455 |
+ |
\label{tab:wz-matcheffi-Zmumu} |
456 |
+ |
\end{table} |
457 |
+ |
|
458 |
+ |
|
459 |
+ |
%\subsection{Signal extraction} |
460 |
+ |
%\input D0Matrix |
461 |
+ |
\input zjetbackground |
462 |
+ |
|
463 |
+ |
|
464 |
+ |
\section{Systematic uncertainties} |
465 |
+ |
\input Sys |
466 |
+ |
|
467 |
+ |
|
468 |
+ |
\begin{figure}[bt] |
469 |
+ |
\begin{center} |
470 |
+ |
\scalebox{0.8}{\includegraphics{figs/met_by_channel.eps}} |
471 |
+ |
\caption{Missing transverse mass for the four signal categories. |
472 |
+ |
The distributions show the number of expected events |
473 |
+ |
for $1 fb^{-1}$. Only events with 81.1 GeV $< M_Z < $ 101.1 \gev |
474 |
+ |
are shown. All selection cuts are applied.} |
475 |
+ |
\label{fig:met} |
476 |
+ |
\end{center} |
477 |
+ |
\end{figure} |
478 |
+ |
|
479 |
+ |
\begin{figure}[bt] |
480 |
+ |
\begin{center} |
481 |
+ |
\scalebox{0.8}{\includegraphics{figs/mtw_by_channel.eps}} |
482 |
+ |
\caption{W transverse mass for the four signal categories. |
483 |
+ |
The distributions show the number of expected events |
484 |
+ |
for $1 fb^{-1}$. Only events with 81.1 GeV $< M_Z < $ 101.1 GeV are shown. |
485 |
+ |
All selection cuts are applied.} |
486 |
+ |
\label{fig:mtw} |
487 |
+ |
\end{center} |
488 |
+ |
\end{figure} |
489 |
|
|
490 |
|
|
491 |
|
|