| 12 |
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\subsubsection{Background estimation without the \W boson transverse mass requirement} |
| 13 |
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One of the ways to validate the matrix method is a comparison of its background |
| 14 |
|
prediction with the MC truth information at different stage of application of the |
| 15 |
< |
\WZ signal selection criteria. We show that the matrix method work well with a very |
| 15 |
> |
\WZ signal selection criteria. We show that the matrix method works well with a very |
| 16 |
|
loose selection criteria (see the Section above). In the following we perform |
| 17 |
|
the comparison after applying the full selection criteria but the requirement on the |
| 18 |
|
\W candidate transverse mass. |
| 19 |
|
|
| 20 |
< |
We repeat the procedure described in the Section~\ref{sec:moreDetailsBackground} for |
| 20 |
> |
We repeat the procedure described in Section~\ref{sec:moreDetailsBackground} for |
| 21 |
|
every signature channels and provide the results of background estimation from processes |
| 22 |
|
without real \Z boson in Table~\ref{tab:FitNoMWt} and final results in |
| 23 |
|
Tables~\ref{tab:FinalNoMWtCutLoose} and \ref{tab:FinalNoMWtCut} for ``Loose'' |
| 86 |
|
|
| 87 |
|
The performance of the matrix method depends on the validity of the following three assumptions: |
| 88 |
|
\begin{itemize} |
| 89 |
< |
\item contribution from processes with two or more misidentified jets is negligible, |
| 89 |
> |
\item the contribution from processes with two or more misidentified jets is negligible, |
| 90 |
|
\item $p_{fake}$ should describe the probability of misidentified jets passing loose criteria to also |
| 91 |
|
pass tight lepton requirements in the background to the signal, |
| 92 |
|
\item the misidentified lepton is associated with the \W candidate decay. |
| 93 |
|
\end{itemize} |
| 94 |
|
|
| 95 |
|
The first assumption is true for the \WZ analysis, and the second one is true if we assume |
| 96 |
< |
the jet composition in the control sample used to establish $p_{fake}$ is the same as that |
| 96 |
> |
that the jet composition in the control sample used to establish $p_{fake}$ is the same as that |
| 97 |
|
in the background in the \WZ data sample. This can be achieved by using $\W+X$ |
| 98 |
|
processes as a control sample, as described in Section~\ref{sec:WPFake}. The latter assumption |
| 99 |
|
is generally not true for $t\bar{t}$ processes, and therefore, we subtract background |
| 100 |
|
without genuine \Z bosons using the fit results of the \Z candidate invariant mass. |
| 101 |
|
|
| 102 |
< |
However, after application the full selection criteria, the contribution from the backgrounds |
| 103 |
< |
without real \Z boson is negligible, and fit results in an unacceptable large uncertainty |
| 102 |
> |
However, after applying the full selection criteria, the contribution from the backgrounds |
| 103 |
> |
without real \Z boson is negligible, and the fit results in an unacceptable large uncertainty |
| 104 |
|
for the 300 \invpb scenario. Thus, it is possible to neglect the combinatorial bias from $t\bar{t}$ |
| 105 |
|
processes with small integrated luminosity sample and forgo the fit altogether. In the following |
| 106 |
|
we provide the results of estimation of the background without subtracting the estimated |
