| 18 |
|
trigger efficiency is expected to be around 99\%, and therefore, a |
| 19 |
|
systematic uncertainty is conservatively estimated as 1\%. From the |
| 20 |
|
current analysis of $Z\rightarrow l^+l^-$ in |
| 21 |
< |
CMS~\ref{Zmumu}~\ref{Zee}, the number of \Z events is estimated of the |
| 21 |
> |
CMS~\cite{Zmumu}~\cite{Zee}, the number of \Z events is estimated of the |
| 22 |
|
order of 50k per 100 pb$^{-1}$ of data analysed. To determine the |
| 23 |
< |
trigger efficiency ``tag-and-probe'' method~\ref{TP} will be used. |
| 23 |
> |
trigger efficiency ``tag-and-probe'' method~\cite{TP} will be used. |
| 24 |
|
|
| 25 |
|
\item {\it Reconstruction}: we assign 2\% systematic uncertainty per |
| 26 |
|
lepton due to initial tracker alignment which is of paramount |
| 40 |
|
uncertainty due to efficiency measurement from early data using |
| 41 |
|
``tag-and-probe'' method and 2\% for that for a muon. Additionally we |
| 42 |
|
assign a systematic uncertainty on lepton energy scale of 2\% per |
| 43 |
< |
lepton. The letpons scale will be established using the \Z mass peak. |
| 43 |
> |
lepton. The leptons scale will be established using the \Z mass peak. |
| 44 |
|
|
| 45 |
|
\item {\it PDF uncertainties}: we estimate PDF uncertainties following prescription |
| 46 |
|
described in~\cite{OldNote}. The uncertainty is found to be |
| 47 |
< |
$$ \Delta \sigma_+ ^{tot} = 3.9\% \hspace{0.9cm} \Delta \sigma_- ^{tot} = 3.5\% $$. |
| 47 |
> |
$$ \Delta \sigma_+ ^{tot} = 3.9\% \hspace{0.9cm} \Delta \sigma_- ^{tot} = 3.5\% $$ |
| 48 |
|
|
| 49 |
|
\item {\it Luminosity}: we estimate luminosity uncertainty of 10\%. |
| 50 |
|
\end{itemize} |
| 64 |
|
Lepton energy scale& 1.0& 1.0\\ |
| 65 |
|
Electron identification& 4.0 &4.0\\ |
| 66 |
|
Muon identification& 2.0 &2.0\\ |
| 67 |
< |
PDF uncertainties& - & + 3.9\\ |
| 68 |
< |
& & - 3.5 \\ \hline |
| 67 |
> |
PDF uncertainties& + 3.9 & + 3.9\\ |
| 68 |
> |
&- 3.5 & - 3.5 \\ \hline |
| 69 |
|
\end{tabular} |
| 70 |
|
|
| 71 |
|
\end{center} |
| 72 |
|
\caption{Systematic uncertainties for $pp\rightarrow \WZ$ cross section measurement |
| 73 |
< |
and significance estimation for 300 \invpb of integrated luminosity.} |
| 73 |
> |
and significance estimation for 300~\invpb of integrated luminosity.} |
| 74 |
|
\label{tab:sys} |
| 75 |
|
\end{table} |
| 76 |
|
|
| 90 |
|
$Z+jets$ will be determine using the method described |
| 91 |
|
in~\ref{sec:D0Matrix}. |
| 92 |
|
|
| 93 |
< |
From the fit, we will consider a systematics error of 10\%. |
| 93 |
> |
%From the fit, we will consider a systematics error of 10\%. |
| 94 |
|
|
| 95 |
< |
If we consider an error of 10\% |
| 96 |
< |
on the fake rate and an error of 2\% |
| 95 |
> |
If we consider an error $\Delta p$ |
| 96 |
> |
%of 4\% |
| 97 |
> |
on the fake rate and an error $\Delta \epsilon$ |
| 98 |
> |
%of 1\% |
| 99 |
|
on the efficiency on signal to go from loose to tight criteria, we can |
| 100 |
|
calculate the error on the estimated background as follow: |
| 101 |
|
\begin{equation} |
| 106 |
|
where $N_{t}$,$\Delta N_{t}$ and $N_{l}$,$\Delta N_{l}$ represents |
| 107 |
|
respectivement the number of events in the tight sample and in the |
| 108 |
|
loose sample and their errors.$\epsilon$ represent efficiency for a |
| 109 |
< |
loose electron to pass the tight criteria, $\Delta \epsilon$ the error |
| 110 |
< |
on this value.$p$ gives the probability for a fake loose electron to |
| 111 |
< |
pass also the tight criteria and $\Delta p$ its error. |
| 109 |
> |
loose electron to pass the tight criteria. |
| 110 |
> |
%, $\Delta \epsilon$ the error on this value. |
| 111 |
> |
$p$ gives the probability for a fake loose electron to |
| 112 |
> |
pass also the tight criteria. |
| 113 |
> |
%and $\Delta p$ its error. |
| 114 |
|
|
| 115 |
< |
The overall error from the background substraction is XXX %18\%. |
| 115 |
> |
%The overall error from the background substraction is XXX %18\%. |
| 116 |
|
|
| 117 |
|
\subsection{Summary of Systematics} |
| 118 |
|
|
| 123 |
|
\begin{center} |
| 124 |
|
\begin{tabular}{|l|c|c|} \hline |
| 125 |
|
Channels & Cross Section & Signficance \\ \hline |
| 126 |
< |
3e & 8.4\% +10\% = 13.1\% & +9.3\% / - 9.2\% \\ |
| 127 |
< |
2e1$\mu$ & 7.7\% +10\% = 12.6\% & +8.7\% / - 8.5\% \\ |
| 128 |
< |
1e2$\mu$ & 6.5\% +10\% = 11.9\% & +7.6\% / - 7.4\% \\ |
| 129 |
< |
3$\mu$ & 5.5\% +10\% = 11.4\% & +6.7\% / - 6.5\% \\\hline |
| 126 |
> |
3e & +9.3\% / - 9.2\% +10\% = +13.7\% / -13.6\% & +9.3\% / - 9.2\% \\ |
| 127 |
> |
2e1$\mu$ & +8.7\% / - 8.5\% +10\% = +13.3\% / -13.1\% & +8.7\% / - 8.5\% \\ |
| 128 |
> |
1e2$\mu$ & +7.6\% / - 7.4\% +10\% = +12.7\% / -12.4\% & +7.6\% / - 7.4\% \\ |
| 129 |
> |
3$\mu$ & +6.7\% / - 6.5\% +10\% = +12.0\% / -11.9\% & +6.7\% / - 6.5\% \\\hline |
| 130 |
|
\end{tabular} |
| 131 |
|
|
| 132 |
|
\end{center} |
