| 10 |
|
process at NLO the NLO event generator MC@NLO 3.1~\cite{Frixione:2002ik} together with PDF set |
| 11 |
|
CTEQ6M was used. |
| 12 |
|
|
| 13 |
+ |
\subsection{Signal Definition} |
| 14 |
+ |
|
| 15 |
+ |
This analysis is studying the final state of on-shell $W$ and $Z$ |
| 16 |
+ |
boson, both of them decaying leptonically. The fully final leptonic |
| 17 |
+ |
final state $l^+ l^- l^\pm \nu$ also receives a contribution from the |
| 18 |
+ |
$W\gamma *$ process, where the $\gamma *$ stands for a virtual photon |
| 19 |
+ |
through the $WW\gamma$ vertex. In this analysis, only events with $l^+ |
| 20 |
+ |
l^-$ invariant mass consistent with $Z$ mass will be considered. CMS |
| 21 |
+ |
detector have a very good energy resolution for electrons and muons, |
| 22 |
+ |
the mass windows will be $\pm 10$ GeV around 91 GeV. |
| 23 |
+ |
|
| 24 |
+ |
Using MCFM to estimate the total NLO cross section, we found: |
| 25 |
+ |
\begin{equation} |
| 26 |
+ |
\sigma_{NLO} ( pp \rightarrow W^+Z^0; \sqrt{s}=14TeV) = 30.5 pb |
| 27 |
+ |
\end{equation} |
| 28 |
+ |
\begin{equation} |
| 29 |
+ |
\sigma_{NLO} ( pp \rightarrow W^-Z^0; \sqrt{s}=14TeV) = 19.1 pb |
| 30 |
+ |
\end{equation} |
| 31 |
+ |
|
| 32 |
+ |
The LO and NLO distribution of \Z transverse momentum are shown of |
| 33 |
+ |
figure~\ref{fig:LOvsNLO} for the case of $W^+$ on the left and $W^-$ |
| 34 |
+ |
on the right side. The ratio NLO/LO is also presented on the figure |
| 35 |
+ |
and it is increasing as $P_T(Z)$ increased. In the following analysis |
| 36 |
+ |
we consider a constant $k-factor$ of 1.84 as we concentrate on the |
| 37 |
+ |
first data taking. On the other side, if in the future one wants to |
| 38 |
+ |
use such distribution to study the effect of possible anomalous triple |
| 39 |
+ |
gauge couplings, it will be necessary to take the $p_T$ dependance of |
| 40 |
+ |
this $k-factor$ into account. |
| 41 |
+ |
|
| 42 |
+ |
\begin{figure}[!bt] |
| 43 |
+ |
\begin{center} |
| 44 |
+ |
\scalebox{0.8}{\includegraphics{figs/LOvsNLOZPtWminuns.eps}\includegraphics{figs/LOvsNLOZPtWplus.eps}} |
| 45 |
+ |
\caption{$P_T(Z)$ in $W^-Z$ events on the left and $W^+Z$ events on the right |
| 46 |
+ |
distribution for LO and NLO calculation. The ratio NLO/LO is also given. |
| 47 |
+ |
} |
| 48 |
+ |
\label{fig:LOvsNLO} |
| 49 |
+ |
\end{center} |
| 50 |
+ |
\end{figure} |
| 51 |
|
|
| 52 |
|
%# for bbll: |
| 53 |
|
%#CS NLO ((Z/gamma*->l+l-)bb) = 830pb = 345 pb * 2.4, where: |
| 56 |
|
%# 830x0.173 (== XS x eff.) = 143.59pb |
| 57 |
|
|
| 58 |
|
|
| 59 |
+ |
\subsection{Signal and Background Monte Carlo samples} |
| 60 |
+ |
The signal monte carlo sample has been produced using PYTHIA |
| 61 |
+ |
generator. The decay for the \W has been forced to be in $e\nu_e or |
| 62 |
+ |
\mu\nu_{mu} or \tau\nu_{\tau}$ while the \Z is decaying into electrons |
| 63 |
+ |
or muons only. |
| 64 |
+ |
|
| 65 |
+ |
The main background that we have to consider are all final states |
| 66 |
+ |
having at least two isolated leptons from the same flavor and with |
| 67 |
+ |
opposite charge. The third one can be a real isolated lepton or a misidentified |
| 68 |
+ |
lepton. The probability to misidentify one isolated lepton is rather low, so |
| 69 |
+ |
this is why we can considere safely starting from two |
| 70 |
+ |
leptons. Moreover we will apply a cut on the invariant mass of the two |
| 71 |
+ |
leptons so most of the background remaining are:\\ |
| 72 |
+ |
\begin{itemize} |
| 73 |
+ |
\item $W+jets$: $W$ boson will give us one isolated leptons. The probability that 2 additional jets will be misidentified as isolated lepton is very low and the criteria on the lepton invariant mass will definitely reduce such background. This channel is nevertheless useful to study other background for which data sample are not available such as $Wb\bar{b}$. The sample studied for this analysis, has been produced using ALPGEN generator per jet bin. |
| 74 |
+ |
\item $Z + jets$: $Z$ boson is commun between signal and background. The thrid isolated lepton can come from a misidentified lepton. The cross section of production of this channel is around 600 time the signal studied.The sample studied for this analysis, has been produced using ALPGEN generator per jet bin. |
| 75 |
+ |
\item $t\bar{t}$: top quark will decay to \W$b$ pair where each of the $W$ can decay via an isolated leptons. This leptons will have opposite charged. Even though combining the two leptons, we will not obtain a peak around the \Z mass, the cross section of this process is around 60 time the cross section of the signal studied. The sample studied for this analysis, has been produced using ALPGEN generator per jet bin. The third lepton will come from a semi leptonic decay of a $b$ quark which will be isolated. |
| 76 |
+ |
\item $Z + b\bar{b}$: the presence of $Z$ boson will select such events. Moreover due to the semi leptonic decay of a $b$ quark, a thrid lepton can be easily identified and consider as isolated. The sample used has been produced by COMPHEP generator. |
| 77 |
+ |
\item $ZZ$: the inclusive |
| 78 |
+ |
|
| 79 |
+ |
\end{itemize} |
| 80 |
+ |
|
| 81 |
|
\begin{table}[tbh] |
| 82 |
|
\begin{tabular}{llllll} \hline |
| 83 |
< |
Sample & Generator & Sample name & Events & $\sigma \cdot \epsilon \cdot k$ & k-factor \\ \hline |
| 84 |
< |
WZ & Pythia & /WZ/CMSSW\_1\_6\_7-CSA07-1195663763/RECO & 58897 & 0.585 pb & 1.92 \\ |
| 85 |
< |
$Zb\bar{b}$ & COMPHEP & /comphep-bbll/CMSSW\_1\_6\_7-CSA07-1198677426/RECO & 143.59 pb & 2.4 \\ |
| 86 |
< |
``Chowder'' & ALPGEN & /CSA07AllEvents/CMSSW\_1\_6\_7-CSA07-Chowder-A1-PDAllEvents-ReReco-100pb/RECO & 25 M & event weights & - \\ |
| 83 |
> |
Sample & Generator & Sample name & Events & $\sigma \cdot \epsilon |
| 84 |
> |
\cdot k$ & k-factor \\ \hline WZ & Pythia & |
| 85 |
> |
/WZ/CMSSW\_1\_6\_7-CSA07-1195663763/RECO & 58897 & 0.585 pb & 1.92 \\ |
| 86 |
> |
$Zb\bar{b}$ & COMPHEP & |
| 87 |
> |
/comphep-bbll/CMSSW\_1\_6\_7-CSA07-1198677426/RECO & 143.59 pb & 2.4 |
| 88 |
> |
\\ ``Chowder'' & ALPGEN & |
| 89 |
> |
/CSA07AllEvents/CMSSW\_1\_6\_7-CSA07-Chowder-A1-PDAllEvents-ReReco-100pb/RECO |
| 90 |
> |
& 25 M & event weights & - \\ |
| 91 |
|
\hline |
| 92 |
|
\end{tabular} |
| 93 |
|
|
| 94 |
|
\caption{Monte Carlo samples used in this analysis} |
| 95 |
|
\end{table} |
| 96 |
|
|
| 33 |
– |
\subsection{Signal and Background Monte Carlo samples} |
| 34 |
– |
|
| 97 |
|
|
| 98 |
|
|
| 99 |
|
|
