Thesis/appendixRmue.tex at master · JanFSchulte/Thesis · GitHub

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\chapter{Dependencies of $\mathbf{r}_{\mu e}$}
\label{app:rmue}
Several dependency studies for \rmue in addition to what is presented in Section~\ref{sec:rmue} are presented here. It can be seen that \rmue decreases with both increasing leading and trailing lepton \pt (Figure~\ref{fig:rmueDependenciesApp1}). For the leading lepton, it stabilizes at the central value for $\unit{\pt > 45}{\giga\electronvolt}$, while for the trailing lepton it decreases further, because the effect maximises if both leptons have sizeable \pt. For lepton $|\eta|$, no strong dependence is seen, while for $\Delta R(\ell\ell)$, \rmue seems to decrease towards smaller values (both Figure~\ref{fig:rmueDependenciesApp2}). No significant dependencies are observed for \HT and $N_{\text{Vertex}}$ in Figure~\ref{fig:rmueDependenciesApp3}.
\begin{figure}[htbp]
\centering
\begin{minipage}[t]{0.49\textwidth}
  \includegraphics[width=\textwidth]{plots/BG/rmue/rMuE_ZPeakControlCentral_Full2012_TrailingPt_leadingPt30.pdf}
\end{minipage}
\begin{minipage}[t]{0.49\textwidth}
\includegraphics[width=\textwidth]{plots/BG/rmue/rMuE_ZPeakControlForward_Full2012_TrailingPt_leadingPt30.pdf}
\end{minipage}
\begin{minipage}[t]{0.49\textwidth}
  \includegraphics[width=\textwidth]{plots/BG/rmue/rMuE_ZPeakControlCentral_Full2012_LeadingPt_trailingPt20.pdf}
\end{minipage}
\begin{minipage}[t]{0.49\textwidth}
\includegraphics[width=\textwidth]{plots/BG/rmue/rMuE_ZPeakControlForward_Full2012_LeadingPt_trailingPt20.pdf}
\end{minipage}

\caption{Dependencies of \rmue on the \pt of the trailing (top) and the leading (bottom) lepton for the central (left) and forward (right) lepton selection. The results on data are shown in black while $t\bar{t}$ simulation is shown in green. The central value is shown as a brown dashed line while the assigned systematic uncertainty of 10\% for the central and 20\% for the forward lepton selection is shown as an orange band.}
\label{fig:rmueDependenciesApp1}
\end{figure}

\begin{figure}[htbp]
\centering
\begin{minipage}[t]{0.49\textwidth}
  \includegraphics[width=\textwidth]{plots/BG/rmue/rMuE_ZPeakControlCentral_Full2012_TrailingEta_None.pdf}
\end{minipage}
\begin{minipage}[t]{0.49\textwidth}
\includegraphics[width=\textwidth]{plots/BG/rmue/rMuE_ZPeakControlForward_Full2012_TrailingEta_None.pdf}
\end{minipage}
\begin{minipage}[t]{0.49\textwidth}
  \includegraphics[width=\textwidth]{plots/BG/rmue/rMuE_ZPeakControlCentral_Full2012_DeltaR_None.pdf}
\end{minipage}
\begin{minipage}[t]{0.49\textwidth}
\includegraphics[width=\textwidth]{plots/BG/rmue/rMuE_ZPeakControlForward_Full2012_DeltaR_None.pdf}
\end{minipage}
\caption{Dependencies of \rmue on the $|\eta|$ of the trailing lepton (top) and  $\Delta R(\ell\ell)$ (bottom) for the central (left) and forward (right) lepton selection. The results on data are shown in black while $t\bar{t}$ simulation is shown in green. The central value is shown as a brown dashed line while the assigned systematic uncertainty of 10\% for the central and 20\% for the forward lepton selection is shown as an orange band.}
\label{fig:rmueDependenciesApp2}
\end{figure}


\begin{figure}[htbp]
\centering
\begin{minipage}[t]{0.49\textwidth}
  \includegraphics[width=\textwidth]{plots/BG/rmue/rMuE_ZPeakControlCentral_Full2012_HT_None.pdf}
\end{minipage}
\begin{minipage}[t]{0.49\textwidth}
\includegraphics[width=\textwidth]{plots/BG/rmue/rMuE_ZPeakControlForward_Full2012_HT_None.pdf}
\end{minipage}
\begin{minipage}[t]{0.49\textwidth}
  \includegraphics[width=\textwidth]{plots/BG/rmue/rMuE_ZPeakControlCentral_Full2012_nVtx_None.pdf}
\end{minipage}
\begin{minipage}[t]{0.49\textwidth}
\includegraphics[width=\textwidth]{plots/BG/rmue/rMuE_ZPeakControlForward_Full2012_nVtx_None.pdf}
\end{minipage}
\caption{Dependencies of \rmue on $H_T$ (top) and $N_{vertex}$ (bottom) for the central (left) and forward (right) lepton selection. The results on data are shown in black while $t\bar{t}$ simulation is shown in green. The central value is shown as a brown dashed line while the assigned systematic uncertainty of 10\% for the central and 20\% for the forward lepton selection is shown as an orange band.}
\label{fig:rmueDependenciesApp3}
\end{figure}