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@mchrzasz mchrzasz on 1 Nov 2016 36 KB added K* mumu
\section{Bootstrap distributions for the angular moments}

Figures~\ref{fig:moments:bootstraps:bin0}-\ref{fig:moments:bootstraps:optimised:bin13} show the distribution of the observables obtained by bootstrapping the dataset. 
The \CP-averaged observables and \CP asymmetries are distributed as a normal distribution about the values measured in the dataset. 
The $P^{(\prime)}_{i}$ observables depend on the \CP-averaged observables in a non-linear way. 
Consequently, these observables are not normally distributed. 
The shaded region in the figures corresponds to the quoted 68\% confidence interval. 
Candidates with non-physical values of $F_{\rm L}$ ($F_{\rm L} > 1$) are not shown. 

\begin{figure}[!htb]
\begin{center}
\includegraphics[width=0.45\linewidth]{moments/bootstraps_FL_0p1_0p98.pdf}
\includegraphics[width=0.45\linewidth]{moments/bootstraps_AFB_0p1_0p98.pdf}\\
\includegraphics[width=0.45\linewidth]{moments/bootstraps_S3_0p1_0p98.pdf}
\includegraphics[width=0.45\linewidth]{moments/bootstraps_S4_0p1_0p98.pdf}\\
\includegraphics[width=0.45\linewidth]{moments/bootstraps_S5_0p1_0p98.pdf}
\includegraphics[width=0.45\linewidth]{moments/bootstraps_S7_0p1_0p98.pdf}\\
\includegraphics[width=0.45\linewidth]{moments/bootstraps_S8_0p1_0p98.pdf}
\includegraphics[width=0.45\linewidth]{moments/bootstraps_S9_0p1_0p98.pdf}
\end{center}
\caption{
Distribution of pseudoexperiments from bootstrapping the data in the moment analysis. The 68\% confidence interval on the angular observable is indicated by the shaded region.
\label{fig:moments:bootstraps:bin0}}
\end{figure}

\clearpage 

\begin{figure}[!htb]
\begin{center}
\includegraphics[width=0.45\linewidth]{moments/bootstraps_FL_1p1_2p0.pdf}
\includegraphics[width=0.45\linewidth]{moments/bootstraps_AFB_1p1_2p0.pdf}\\
\includegraphics[width=0.45\linewidth]{moments/bootstraps_S3_1p1_2p0.pdf}
\includegraphics[width=0.45\linewidth]{moments/bootstraps_S4_1p1_2p0.pdf}\\
\includegraphics[width=0.45\linewidth]{moments/bootstraps_S5_1p1_2p0.pdf}
\includegraphics[width=0.45\linewidth]{moments/bootstraps_S7_1p1_2p0.pdf}\\
\includegraphics[width=0.45\linewidth]{moments/bootstraps_S8_1p1_2p0.pdf}
\includegraphics[width=0.45\linewidth]{moments/bootstraps_S9_1p1_2p0.pdf}
\end{center}
\caption{
Distribution of pseudoexperiments from bootstrapping the data in the moment analysis. The 68\% confidence interval on the angular observable is indicated by the shaded region.
\label{fig:moments:bootstraps:bin1}}
\end{figure}

\clearpage 

\begin{figure}[!htb]
\begin{center}
\includegraphics[width=0.45\linewidth]{moments/bootstraps_FL_2p0_3p0.pdf}
\includegraphics[width=0.45\linewidth]{moments/bootstraps_AFB_2p0_3p0.pdf}\\
\includegraphics[width=0.45\linewidth]{moments/bootstraps_S3_2p0_3p0.pdf}
\includegraphics[width=0.45\linewidth]{moments/bootstraps_S4_2p0_3p0.pdf}\\
\includegraphics[width=0.45\linewidth]{moments/bootstraps_S5_2p0_3p0.pdf}
\includegraphics[width=0.45\linewidth]{moments/bootstraps_S7_2p0_3p0.pdf}\\
\includegraphics[width=0.45\linewidth]{moments/bootstraps_S8_2p0_3p0.pdf}
\includegraphics[width=0.45\linewidth]{moments/bootstraps_S9_2p0_3p0.pdf}
\end{center}
\caption{
Distribution of pseudoexperiments from bootstrapping the data in the moment analysis. The 68\% confidence interval on the angular observable is indicated by the shaded region.
\label{fig:moments:bootstraps:bin2}}
\end{figure}

\clearpage 

\begin{figure}[!htb]
\begin{center}
\includegraphics[width=0.45\linewidth]{moments/bootstraps_FL_3p0_4p0.pdf}
\includegraphics[width=0.45\linewidth]{moments/bootstraps_AFB_3p0_4p0.pdf}\\
\includegraphics[width=0.45\linewidth]{moments/bootstraps_S3_3p0_4p0.pdf}
\includegraphics[width=0.45\linewidth]{moments/bootstraps_S4_3p0_4p0.pdf}\\
\includegraphics[width=0.45\linewidth]{moments/bootstraps_S5_3p0_4p0.pdf}
\includegraphics[width=0.45\linewidth]{moments/bootstraps_S7_3p0_4p0.pdf}\\
\includegraphics[width=0.45\linewidth]{moments/bootstraps_S8_3p0_4p0.pdf}
\includegraphics[width=0.45\linewidth]{moments/bootstraps_S9_3p0_4p0.pdf}
\end{center}
\caption{
Distribution of pseudoexperiments from bootstrapping the data in the moment analysis. The 68\% confidence interval on the angular observable is indicated by the shaded region.
\label{fig:moments:bootstraps:bin3}}
\end{figure}

\clearpage 

\begin{figure}[!htb]
\begin{center}
\includegraphics[width=0.45\linewidth]{moments/bootstraps_FL_4p0_5p0.pdf}
\includegraphics[width=0.45\linewidth]{moments/bootstraps_AFB_4p0_5p0.pdf}\\
\includegraphics[width=0.45\linewidth]{moments/bootstraps_S3_4p0_5p0.pdf}
\includegraphics[width=0.45\linewidth]{moments/bootstraps_S4_4p0_5p0.pdf}\\
\includegraphics[width=0.45\linewidth]{moments/bootstraps_S5_4p0_5p0.pdf}
\includegraphics[width=0.45\linewidth]{moments/bootstraps_S7_4p0_5p0.pdf}\\
\includegraphics[width=0.45\linewidth]{moments/bootstraps_S8_4p0_5p0.pdf}
\includegraphics[width=0.45\linewidth]{moments/bootstraps_S9_4p0_5p0.pdf}
\end{center}
\caption{
Distribution of pseudoexperiments from bootstrapping the data in the moment analysis. The 68\% confidence interval on the angular observable is indicated by the shaded region.
\label{fig:moments:bootstraps:bin4}}
\end{figure}

\clearpage 

\begin{figure}[!htb]
\begin{center}
\includegraphics[width=0.45\linewidth]{moments/bootstraps_FL_5p0_6p0.pdf}
\includegraphics[width=0.45\linewidth]{moments/bootstraps_AFB_5p0_6p0.pdf}\\
\includegraphics[width=0.45\linewidth]{moments/bootstraps_S3_5p0_6p0.pdf}
\includegraphics[width=0.45\linewidth]{moments/bootstraps_S4_5p0_6p0.pdf}\\
\includegraphics[width=0.45\linewidth]{moments/bootstraps_S5_5p0_6p0.pdf}
\includegraphics[width=0.45\linewidth]{moments/bootstraps_S7_5p0_6p0.pdf}\\
\includegraphics[width=0.45\linewidth]{moments/bootstraps_S8_5p0_6p0.pdf}
\includegraphics[width=0.45\linewidth]{moments/bootstraps_S9_5p0_6p0.pdf}
\end{center}
\caption{
Distribution of pseudoexperiments from bootstrapping the data in the moment analysis. The 68\% confidence interval on the angular observable is indicated by the shaded region.
\label{fig:moments:bootstraps:bin5}}
\end{figure}

\clearpage 

\begin{figure}[!htb]
\begin{center}
\includegraphics[width=0.45\linewidth]{moments/bootstraps_FL_6p0_7p0.pdf}
\includegraphics[width=0.45\linewidth]{moments/bootstraps_AFB_6p0_7p0.pdf}\\
\includegraphics[width=0.45\linewidth]{moments/bootstraps_S3_6p0_7p0.pdf}
\includegraphics[width=0.45\linewidth]{moments/bootstraps_S4_6p0_7p0.pdf}\\
\includegraphics[width=0.45\linewidth]{moments/bootstraps_S5_6p0_7p0.pdf}
\includegraphics[width=0.45\linewidth]{moments/bootstraps_S7_6p0_7p0.pdf}\\
\includegraphics[width=0.45\linewidth]{moments/bootstraps_S8_6p0_7p0.pdf}
\includegraphics[width=0.45\linewidth]{moments/bootstraps_S9_6p0_7p0.pdf}
\end{center}
\caption{
Distribution of pseudoexperiments from bootstrapping the data in the moment analysis. The 68\% confidence interval on the angular observable is indicated by the shaded region.
\label{fig:moments:bootstraps:bin6}}
\end{figure}

\clearpage 

\begin{figure}[!htb]
\begin{center}
\includegraphics[width=0.45\linewidth]{moments/bootstraps_FL_7p0_8p0.pdf}
\includegraphics[width=0.45\linewidth]{moments/bootstraps_AFB_7p0_8p0.pdf}\\
\includegraphics[width=0.45\linewidth]{moments/bootstraps_S3_7p0_8p0.pdf}
\includegraphics[width=0.45\linewidth]{moments/bootstraps_S4_7p0_8p0.pdf}\\
\includegraphics[width=0.45\linewidth]{moments/bootstraps_S5_7p0_8p0.pdf}
\includegraphics[width=0.45\linewidth]{moments/bootstraps_S7_7p0_8p0.pdf}\\
\includegraphics[width=0.45\linewidth]{moments/bootstraps_S8_7p0_8p0.pdf}
\includegraphics[width=0.45\linewidth]{moments/bootstraps_S9_7p0_8p0.pdf}
\end{center}
\caption{
Distribution of pseudoexperiments from bootstrapping the data in the moment analysis. The 68\% confidence interval on the angular observable is indicated by the shaded region.
\label{fig:moments:bootstraps:bin7}}
\end{figure}

\clearpage 

\begin{figure}[!htb]
\begin{center}
\includegraphics[width=0.45\linewidth]{moments/bootstraps_FL_11p0_11p75.pdf}
\includegraphics[width=0.45\linewidth]{moments/bootstraps_AFB_11p0_11p75.pdf}\\
\includegraphics[width=0.45\linewidth]{moments/bootstraps_S3_11p0_11p75.pdf}
\includegraphics[width=0.45\linewidth]{moments/bootstraps_S4_11p0_11p75.pdf}\\
\includegraphics[width=0.45\linewidth]{moments/bootstraps_S5_11p0_11p75.pdf}
\includegraphics[width=0.45\linewidth]{moments/bootstraps_S7_11p0_11p75.pdf}\\
\includegraphics[width=0.45\linewidth]{moments/bootstraps_S8_11p0_11p75.pdf}
\includegraphics[width=0.45\linewidth]{moments/bootstraps_S9_11p0_11p75.pdf}
\end{center}
\caption{
Distribution of pseudoexperiments from bootstrapping the data in the moment analysis. The 68\% confidence interval on the angular observable is indicated by the shaded region.
\label{fig:moments:bootstraps:bin8}}
\end{figure}

\clearpage 

\begin{figure}[!htb]
\begin{center}
\includegraphics[width=0.45\linewidth]{moments/bootstraps_FL_11p75_12p5.pdf}
\includegraphics[width=0.45\linewidth]{moments/bootstraps_AFB_11p75_12p5.pdf}\\
\includegraphics[width=0.45\linewidth]{moments/bootstraps_S3_11p75_12p5.pdf}
\includegraphics[width=0.45\linewidth]{moments/bootstraps_S4_11p75_12p5.pdf}\\
\includegraphics[width=0.45\linewidth]{moments/bootstraps_S5_11p75_12p5.pdf}
\includegraphics[width=0.45\linewidth]{moments/bootstraps_S7_11p75_12p5.pdf}\\
\includegraphics[width=0.45\linewidth]{moments/bootstraps_S8_11p75_12p5.pdf}
\includegraphics[width=0.45\linewidth]{moments/bootstraps_S9_11p75_12p5.pdf}
\end{center}
\caption{
Distribution of pseudoexperiments from bootstrapping the data in the moment analysis. The 68\% confidence interval on the angular observable is indicated by the shaded region.
\label{fig:moments:bootstraps:bin9}}
\end{figure}

\clearpage 

\begin{figure}[!htb]
\begin{center}
\includegraphics[width=0.45\linewidth]{moments/bootstraps_FL_15p0_16p0.pdf}
\includegraphics[width=0.45\linewidth]{moments/bootstraps_AFB_15p0_16p0.pdf}\\
\includegraphics[width=0.45\linewidth]{moments/bootstraps_S3_15p0_16p0.pdf}
\includegraphics[width=0.45\linewidth]{moments/bootstraps_S4_15p0_16p0.pdf}\\
\includegraphics[width=0.45\linewidth]{moments/bootstraps_S5_15p0_16p0.pdf}
\includegraphics[width=0.45\linewidth]{moments/bootstraps_S7_15p0_16p0.pdf}\\
\includegraphics[width=0.45\linewidth]{moments/bootstraps_S8_15p0_16p0.pdf}
\includegraphics[width=0.45\linewidth]{moments/bootstraps_S9_15p0_16p0.pdf}
\end{center}
\caption{
Distribution of pseudoexperiments from bootstrapping the data in the moment analysis. The 68\% confidence interval on the angular observable is indicated by the shaded region.
\label{fig:moments:bootstraps:bin10}}
\end{figure}

\clearpage 


\begin{figure}[!htb]
\begin{center}
\includegraphics[width=0.45\linewidth]{moments/bootstraps_FL_16p0_17p0.pdf}
\includegraphics[width=0.45\linewidth]{moments/bootstraps_AFB_16p0_17p0.pdf}\\
\includegraphics[width=0.45\linewidth]{moments/bootstraps_S3_16p0_17p0.pdf}
\includegraphics[width=0.45\linewidth]{moments/bootstraps_S4_16p0_17p0.pdf}\\
\includegraphics[width=0.45\linewidth]{moments/bootstraps_S5_16p0_17p0.pdf}
\includegraphics[width=0.45\linewidth]{moments/bootstraps_S7_16p0_17p0.pdf}\\
\includegraphics[width=0.45\linewidth]{moments/bootstraps_S8_16p0_17p0.pdf}
\includegraphics[width=0.45\linewidth]{moments/bootstraps_S9_16p0_17p0.pdf}
\end{center}
\caption{
Distribution of pseudoexperiments from bootstrapping the data in the moment analysis. The 68\% confidence interval on the angular observable is indicated by the shaded region.
\label{fig:moments:bootstraps:bin11}}
\end{figure}

\clearpage 

\begin{figure}[!htb]
\begin{center}
\includegraphics[width=0.45\linewidth]{moments/bootstraps_FL_17p0_18p0.pdf}
\includegraphics[width=0.45\linewidth]{moments/bootstraps_AFB_17p0_18p0.pdf}\\
\includegraphics[width=0.45\linewidth]{moments/bootstraps_S3_17p0_18p0.pdf}
\includegraphics[width=0.45\linewidth]{moments/bootstraps_S4_17p0_18p0.pdf}\\
\includegraphics[width=0.45\linewidth]{moments/bootstraps_S5_17p0_18p0.pdf}
\includegraphics[width=0.45\linewidth]{moments/bootstraps_S7_17p0_18p0.pdf}\\
\includegraphics[width=0.45\linewidth]{moments/bootstraps_S8_17p0_18p0.pdf}
\includegraphics[width=0.45\linewidth]{moments/bootstraps_S9_17p0_18p0.pdf}
\end{center}
\caption{
Distribution of pseudoexperiments from bootstrapping the data in the moment analysis. The 68\% confidence interval on the angular observable is indicated by the shaded region.
\label{fig:moments:bootstraps:bin12}}
\end{figure}

\clearpage 

\begin{figure}[!htb]
\begin{center}
\includegraphics[width=0.45\linewidth]{moments/bootstraps_FL_18p0_19p0.pdf}
\includegraphics[width=0.45\linewidth]{moments/bootstraps_AFB_18p0_19p0.pdf}\\
\includegraphics[width=0.45\linewidth]{moments/bootstraps_S3_18p0_19p0.pdf}
\includegraphics[width=0.45\linewidth]{moments/bootstraps_S4_18p0_19p0.pdf}\\
\includegraphics[width=0.45\linewidth]{moments/bootstraps_S5_18p0_19p0.pdf}
\includegraphics[width=0.45\linewidth]{moments/bootstraps_S7_18p0_19p0.pdf}\\
\includegraphics[width=0.45\linewidth]{moments/bootstraps_S8_18p0_19p0.pdf}
\includegraphics[width=0.45\linewidth]{moments/bootstraps_S9_18p0_19p0.pdf}
\end{center}
\caption{
Distribution of pseudoexperiments from bootstrapping the data in the moment analysis. The 68\% confidence interval on the angular observable is indicated by the shaded region.
\label{fig:moments:bootstraps:bin13}}
\end{figure}

\clearpage 



%% 


\begin{figure}[!htb]
\begin{center}
\includegraphics[width=0.45\linewidth]{moments/bootstraps_A3_0p1_0p98.pdf}
\includegraphics[width=0.45\linewidth]{moments/bootstraps_A4_0p1_0p98.pdf}\\
\includegraphics[width=0.45\linewidth]{moments/bootstraps_A5_0p1_0p98.pdf}
\includegraphics[width=0.45\linewidth]{moments/bootstraps_A6s_0p1_0p98.pdf} \\
\includegraphics[width=0.45\linewidth]{moments/bootstraps_A7_0p1_0p98.pdf}
\includegraphics[width=0.45\linewidth]{moments/bootstraps_A8_0p1_0p98.pdf} \\
\includegraphics[width=0.45\linewidth]{moments/bootstraps_A9_0p1_0p98.pdf}
\end{center}
\caption{
Distribution of pseudoexperiments from bootstrapping the data in the moment analysis. The 68\% confidence interval on the angular observable is indicated by the shaded region.
\label{fig:moments:bootstraps:asymmetries:bin0}}
\end{figure}

\clearpage 

\begin{figure}[!htb]
\begin{center}
\includegraphics[width=0.45\linewidth]{moments/bootstraps_A3_1p1_2p0.pdf}
\includegraphics[width=0.45\linewidth]{moments/bootstraps_A4_1p1_2p0.pdf}\\
\includegraphics[width=0.45\linewidth]{moments/bootstraps_A5_1p1_2p0.pdf}
\includegraphics[width=0.45\linewidth]{moments/bootstraps_A6s_1p1_2p0.pdf} \\
\includegraphics[width=0.45\linewidth]{moments/bootstraps_A7_1p1_2p0.pdf}
\includegraphics[width=0.45\linewidth]{moments/bootstraps_A8_1p1_2p0.pdf} \\
\includegraphics[width=0.45\linewidth]{moments/bootstraps_A9_1p1_2p0.pdf}
\end{center}
\caption{
Distribution of pseudoexperiments from bootstrapping the data in the moment analysis. The 68\% confidence interval on the angular observable is indicated by the shaded region.
\label{fig:moments:bootstraps:asymmetries:bin1}}
\end{figure}

\clearpage 


\begin{figure}[!htb]
\begin{center}
\includegraphics[width=0.45\linewidth]{moments/bootstraps_A3_2p0_3p0.pdf}
\includegraphics[width=0.45\linewidth]{moments/bootstraps_A4_2p0_3p0.pdf}\\
\includegraphics[width=0.45\linewidth]{moments/bootstraps_A5_2p0_3p0.pdf}
\includegraphics[width=0.45\linewidth]{moments/bootstraps_A6s_2p0_3p0.pdf} \\
\includegraphics[width=0.45\linewidth]{moments/bootstraps_A7_2p0_3p0.pdf}
\includegraphics[width=0.45\linewidth]{moments/bootstraps_A8_2p0_3p0.pdf} \\
\includegraphics[width=0.45\linewidth]{moments/bootstraps_A9_2p0_3p0.pdf}
\end{center}
\caption{
Distribution of pseudoexperiments from bootstrapping the data in the moment analysis. The 68\% confidence interval on the angular observable is indicated by the shaded region.
\label{fig:moments:bootstraps:asymmetries:bin2}}
\end{figure}

\clearpage 


\begin{figure}[!htb]
\begin{center}
\includegraphics[width=0.45\linewidth]{moments/bootstraps_A3_3p0_4p0.pdf}
\includegraphics[width=0.45\linewidth]{moments/bootstraps_A4_3p0_4p0.pdf}\\
\includegraphics[width=0.45\linewidth]{moments/bootstraps_A5_3p0_4p0.pdf}
\includegraphics[width=0.45\linewidth]{moments/bootstraps_A6s_3p0_4p0.pdf} \\
\includegraphics[width=0.45\linewidth]{moments/bootstraps_A7_3p0_4p0.pdf}
\includegraphics[width=0.45\linewidth]{moments/bootstraps_A8_3p0_4p0.pdf} \\
\includegraphics[width=0.45\linewidth]{moments/bootstraps_A9_3p0_4p0.pdf}
\end{center}
\caption{
Distribution of pseudoexperiments from bootstrapping the data in the moment analysis. The 68\% confidence interval on the angular observable is indicated by the shaded region.
\label{fig:moments:bootstraps:asymmetries:bin3}}
\end{figure}

\clearpage 

\begin{figure}[!htb]
\begin{center}
\includegraphics[width=0.45\linewidth]{moments/bootstraps_A3_4p0_5p0.pdf}
\includegraphics[width=0.45\linewidth]{moments/bootstraps_A4_4p0_5p0.pdf}\\
\includegraphics[width=0.45\linewidth]{moments/bootstraps_A5_4p0_5p0.pdf}
\includegraphics[width=0.45\linewidth]{moments/bootstraps_A6s_4p0_5p0.pdf} \\
\includegraphics[width=0.45\linewidth]{moments/bootstraps_A7_4p0_5p0.pdf}
\includegraphics[width=0.45\linewidth]{moments/bootstraps_A8_4p0_5p0.pdf} \\
\includegraphics[width=0.45\linewidth]{moments/bootstraps_A9_4p0_5p0.pdf}
\end{center}
\caption{
Distribution of pseudoexperiments from bootstrapping the data in the moment analysis. The 68\% confidence interval on the angular observable is indicated by the shaded region.
\label{fig:moments:bootstraps:asymmetries:bin4}}
\end{figure}

\clearpage 

\begin{figure}[!htb]
\begin{center}
\includegraphics[width=0.45\linewidth]{moments/bootstraps_A3_5p0_6p0.pdf}
\includegraphics[width=0.45\linewidth]{moments/bootstraps_A4_5p0_6p0.pdf}\\
\includegraphics[width=0.45\linewidth]{moments/bootstraps_A5_5p0_6p0.pdf}
\includegraphics[width=0.45\linewidth]{moments/bootstraps_A6s_5p0_6p0.pdf} \\
\includegraphics[width=0.45\linewidth]{moments/bootstraps_A7_5p0_6p0.pdf}
\includegraphics[width=0.45\linewidth]{moments/bootstraps_A8_5p0_6p0.pdf} \\
\includegraphics[width=0.45\linewidth]{moments/bootstraps_A9_5p0_6p0.pdf}
\end{center}
\caption{
Distribution of pseudoexperiments from bootstrapping the data in the moment analysis. The 68\% confidence interval on the angular observable is indicated by the shaded region.
\label{fig:moments:bootstraps:asymmetries:bin5}}
\end{figure}

\clearpage 

\begin{figure}[!htb]
\begin{center}
\includegraphics[width=0.45\linewidth]{moments/bootstraps_A3_6p0_7p0.pdf}
\includegraphics[width=0.45\linewidth]{moments/bootstraps_A4_6p0_7p0.pdf}\\
\includegraphics[width=0.45\linewidth]{moments/bootstraps_A5_6p0_7p0.pdf}
\includegraphics[width=0.45\linewidth]{moments/bootstraps_A6s_6p0_7p0.pdf} \\
\includegraphics[width=0.45\linewidth]{moments/bootstraps_A7_6p0_7p0.pdf}
\includegraphics[width=0.45\linewidth]{moments/bootstraps_A8_6p0_7p0.pdf} \\
\includegraphics[width=0.45\linewidth]{moments/bootstraps_A9_6p0_7p0.pdf}
\end{center}
\caption{
Distribution of pseudoexperiments from bootstrapping the data in the moment analysis. The 68\% confidence interval on the angular observable is indicated by the shaded region.
\label{fig:moments:bootstraps:asymmetries:bin6}}
\end{figure}

\clearpage 

\begin{figure}[!htb]
\begin{center}
\includegraphics[width=0.45\linewidth]{moments/bootstraps_A3_7p0_8p0.pdf}
\includegraphics[width=0.45\linewidth]{moments/bootstraps_A4_7p0_8p0.pdf}\\
\includegraphics[width=0.45\linewidth]{moments/bootstraps_A5_7p0_8p0.pdf}
\includegraphics[width=0.45\linewidth]{moments/bootstraps_A6s_7p0_8p0.pdf} \\
\includegraphics[width=0.45\linewidth]{moments/bootstraps_A7_7p0_8p0.pdf}
\includegraphics[width=0.45\linewidth]{moments/bootstraps_A8_7p0_8p0.pdf} \\
\includegraphics[width=0.45\linewidth]{moments/bootstraps_A9_7p0_8p0.pdf}
\end{center}
\caption{
Distribution of pseudoexperiments from bootstrapping the data in the moment analysis. The 68\% confidence interval on the angular observable is indicated by the shaded region.
\label{fig:moments:bootstraps:asymmetries:bin7}}
\end{figure}

\clearpage 

\begin{figure}[!htb]
\begin{center}
\includegraphics[width=0.45\linewidth]{moments/bootstraps_A3_11p0_11p75.pdf}
\includegraphics[width=0.45\linewidth]{moments/bootstraps_A4_11p0_11p75.pdf}\\
\includegraphics[width=0.45\linewidth]{moments/bootstraps_A5_11p0_11p75.pdf}
\includegraphics[width=0.45\linewidth]{moments/bootstraps_A6s_11p0_11p75.pdf} \\
\includegraphics[width=0.45\linewidth]{moments/bootstraps_A7_11p0_11p75.pdf}
\includegraphics[width=0.45\linewidth]{moments/bootstraps_A8_11p0_11p75.pdf} \\
\includegraphics[width=0.45\linewidth]{moments/bootstraps_A9_11p0_11p75.pdf}
\end{center}
\caption{
Distribution of pseudoexperiments from bootstrapping the data in the moment analysis. The 68\% confidence interval on the angular observable is indicated by the shaded region.
\label{fig:moments:bootstraps:asymmetries:bin8}}
\end{figure}

\clearpage 

\begin{figure}[!htb]
\begin{center}
\includegraphics[width=0.45\linewidth]{moments/bootstraps_A3_11p75_12p5.pdf}
\includegraphics[width=0.45\linewidth]{moments/bootstraps_A4_11p75_12p5.pdf}\\
\includegraphics[width=0.45\linewidth]{moments/bootstraps_A5_11p75_12p5.pdf}
\includegraphics[width=0.45\linewidth]{moments/bootstraps_A6s_11p75_12p5.pdf} \\
\includegraphics[width=0.45\linewidth]{moments/bootstraps_A7_11p75_12p5.pdf}
\includegraphics[width=0.45\linewidth]{moments/bootstraps_A8_11p75_12p5.pdf} \\
\includegraphics[width=0.45\linewidth]{moments/bootstraps_A9_11p75_12p5.pdf}
\end{center}
\caption{
Distribution of pseudoexperiments from bootstrapping the data in the moment analysis. The 68\% confidence interval on the angular observable is indicated by the shaded region.
\label{fig:moments:bootstraps:asymmetries:bin9}}
\end{figure}

\clearpage 



\begin{figure}[!htb]
\begin{center}
\includegraphics[width=0.45\linewidth]{moments/bootstraps_A3_15p0_16p0.pdf}
\includegraphics[width=0.45\linewidth]{moments/bootstraps_A4_15p0_16p0.pdf}\\
\includegraphics[width=0.45\linewidth]{moments/bootstraps_A5_15p0_16p0.pdf}
\includegraphics[width=0.45\linewidth]{moments/bootstraps_A6s_15p0_16p0.pdf} \\
\includegraphics[width=0.45\linewidth]{moments/bootstraps_A7_15p0_16p0.pdf}
\includegraphics[width=0.45\linewidth]{moments/bootstraps_A8_15p0_16p0.pdf} \\
\includegraphics[width=0.45\linewidth]{moments/bootstraps_A9_15p0_16p0.pdf}
\end{center}
\caption{
Distribution of pseudoexperiments from bootstrapping the data in the moment analysis. The 68\% confidence interval on the angular observable is indicated by the shaded region.
\label{fig:moments:bootstraps:asymmetries:bin10}}
\end{figure}

\clearpage 


\begin{figure}[!htb]
\begin{center}
\includegraphics[width=0.45\linewidth]{moments/bootstraps_A3_16p0_17p0.pdf}
\includegraphics[width=0.45\linewidth]{moments/bootstraps_A4_16p0_17p0.pdf}\\
\includegraphics[width=0.45\linewidth]{moments/bootstraps_A5_16p0_17p0.pdf}
\includegraphics[width=0.45\linewidth]{moments/bootstraps_A6s_16p0_17p0.pdf} \\
\includegraphics[width=0.45\linewidth]{moments/bootstraps_A7_16p0_17p0.pdf}
\includegraphics[width=0.45\linewidth]{moments/bootstraps_A8_16p0_17p0.pdf} \\
\includegraphics[width=0.45\linewidth]{moments/bootstraps_A9_16p0_17p0.pdf}
\end{center}
\caption{
Distribution of pseudoexperiments from bootstrapping the data in the moment analysis. The 68\% confidence interval on the angular observable is indicated by the shaded region.
\label{fig:moments:bootstraps:asymmetries:bin11}}
\end{figure}

\clearpage 


\begin{figure}[!htb]
\begin{center}
\includegraphics[width=0.45\linewidth]{moments/bootstraps_A3_17p0_18p0.pdf}
\includegraphics[width=0.45\linewidth]{moments/bootstraps_A4_17p0_18p0.pdf}\\
\includegraphics[width=0.45\linewidth]{moments/bootstraps_A5_17p0_18p0.pdf}
\includegraphics[width=0.45\linewidth]{moments/bootstraps_A6s_17p0_18p0.pdf} \\
\includegraphics[width=0.45\linewidth]{moments/bootstraps_A7_17p0_18p0.pdf}
\includegraphics[width=0.45\linewidth]{moments/bootstraps_A8_17p0_18p0.pdf} \\
\includegraphics[width=0.45\linewidth]{moments/bootstraps_A9_17p0_18p0.pdf}
\end{center}
\caption{
Distribution of pseudoexperiments from bootstrapping the data in the moment analysis. The 68\% confidence interval on the angular observable is indicated by the shaded region.
\label{fig:moments:bootstraps:asymmetries:bin12}}
\end{figure}

\clearpage 



\begin{figure}[!htb]
\begin{center}
\includegraphics[width=0.45\linewidth]{moments/bootstraps_A3_18p0_19p0.pdf}
\includegraphics[width=0.45\linewidth]{moments/bootstraps_A4_18p0_19p0.pdf}\\
\includegraphics[width=0.45\linewidth]{moments/bootstraps_A5_18p0_19p0.pdf}
\includegraphics[width=0.45\linewidth]{moments/bootstraps_A6s_18p0_19p0.pdf} \\
\includegraphics[width=0.45\linewidth]{moments/bootstraps_A7_18p0_19p0.pdf}
\includegraphics[width=0.45\linewidth]{moments/bootstraps_A8_18p0_19p0.pdf} \\
\includegraphics[width=0.45\linewidth]{moments/bootstraps_A9_18p0_19p0.pdf}
\end{center}
\caption{
Distribution of pseudoexperiments from bootstrapping the data in the moment analysis. The 68\% confidence interval on the angular observable is indicated by the shaded region.
\label{fig:moments:bootstraps:asymmetries:bin13}}
\end{figure}

\clearpage 


%% 


\begin{figure}[!htb]
\begin{center}
\includegraphics[width=0.45\linewidth]{moments/bootstraps_P1_0p1_0p98.pdf}
\includegraphics[width=0.45\linewidth]{moments/bootstraps_P2_0p1_0p98.pdf}\\
\includegraphics[width=0.45\linewidth]{moments/bootstraps_P3_0p1_0p98.pdf}
\includegraphics[width=0.45\linewidth]{moments/bootstraps_P4_0p1_0p98.pdf} \\
\includegraphics[width=0.45\linewidth]{moments/bootstraps_P5_0p1_0p98.pdf}
\includegraphics[width=0.45\linewidth]{moments/bootstraps_P6_0p1_0p98.pdf} \\
\includegraphics[width=0.45\linewidth]{moments/bootstraps_P8_0p1_0p98.pdf}
\end{center}
\caption{
Distribution of pseudoexperiments from bootstrapping the data in the moment analysis. The 68\% confidence interval on the angular observable is indicated by the shaded region.
\label{fig:moments:bootstraps:optimised:bin0}}
\end{figure}

\clearpage 

\begin{figure}[!htb]
\begin{center}
\includegraphics[width=0.45\linewidth]{moments/bootstraps_P1_1p1_2p0.pdf}
\includegraphics[width=0.45\linewidth]{moments/bootstraps_P2_1p1_2p0.pdf}\\
\includegraphics[width=0.45\linewidth]{moments/bootstraps_P3_1p1_2p0.pdf}
\includegraphics[width=0.45\linewidth]{moments/bootstraps_P4_1p1_2p0.pdf} \\
\includegraphics[width=0.45\linewidth]{moments/bootstraps_P5_1p1_2p0.pdf}
\includegraphics[width=0.45\linewidth]{moments/bootstraps_P6_1p1_2p0.pdf} \\
\includegraphics[width=0.45\linewidth]{moments/bootstraps_P8_1p1_2p0.pdf}
\end{center}
\caption{
Distribution of pseudoexperiments from bootstrapping the data in the moment analysis. The 68\% confidence interval on the angular observable is indicated by the shaded region.
\label{fig:moments:bootstraps:optimised:bin1}}
\end{figure}

\clearpage 


\begin{figure}[!htb]
\begin{center}
\includegraphics[width=0.45\linewidth]{moments/bootstraps_P1_2p0_3p0.pdf}
\includegraphics[width=0.45\linewidth]{moments/bootstraps_P2_2p0_3p0.pdf}\\
\includegraphics[width=0.45\linewidth]{moments/bootstraps_P3_2p0_3p0.pdf}
\includegraphics[width=0.45\linewidth]{moments/bootstraps_P4_2p0_3p0.pdf} \\
\includegraphics[width=0.45\linewidth]{moments/bootstraps_P5_2p0_3p0.pdf}
\includegraphics[width=0.45\linewidth]{moments/bootstraps_P6_2p0_3p0.pdf} \\
\includegraphics[width=0.45\linewidth]{moments/bootstraps_P8_2p0_3p0.pdf}
\end{center}
\caption{
Distribution of pseudoexperiments from bootstrapping the data in the moment analysis. The 68\% confidence interval on the angular observable is indicated by the shaded region.
\label{fig:moments:bootstraps:optimised:bin2}}
\end{figure}

\clearpage 


\begin{figure}[!htb]
\begin{center}
\includegraphics[width=0.45\linewidth]{moments/bootstraps_P1_3p0_4p0.pdf}
\includegraphics[width=0.45\linewidth]{moments/bootstraps_P2_3p0_4p0.pdf}\\
\includegraphics[width=0.45\linewidth]{moments/bootstraps_P3_3p0_4p0.pdf}
\includegraphics[width=0.45\linewidth]{moments/bootstraps_P4_3p0_4p0.pdf} \\
\includegraphics[width=0.45\linewidth]{moments/bootstraps_P5_3p0_4p0.pdf}
\includegraphics[width=0.45\linewidth]{moments/bootstraps_P6_3p0_4p0.pdf} \\
\includegraphics[width=0.45\linewidth]{moments/bootstraps_P8_3p0_4p0.pdf}
\end{center}
\caption{
Distribution of pseudoexperiments from bootstrapping the data in the moment analysis. The 68\% confidence interval on the angular observable is indicated by the shaded region.
\label{fig:moments:bootstraps:optimised:bin3}}
\end{figure}

\clearpage 

\begin{figure}[!htb]
\begin{center}
\includegraphics[width=0.45\linewidth]{moments/bootstraps_P1_4p0_5p0.pdf}
\includegraphics[width=0.45\linewidth]{moments/bootstraps_P2_4p0_5p0.pdf}\\
\includegraphics[width=0.45\linewidth]{moments/bootstraps_P3_4p0_5p0.pdf}
\includegraphics[width=0.45\linewidth]{moments/bootstraps_P4_4p0_5p0.pdf} \\
\includegraphics[width=0.45\linewidth]{moments/bootstraps_P5_4p0_5p0.pdf}
\includegraphics[width=0.45\linewidth]{moments/bootstraps_P6_4p0_5p0.pdf} \\
\includegraphics[width=0.45\linewidth]{moments/bootstraps_P8_4p0_5p0.pdf}
\end{center}
\caption{
Distribution of pseudoexperiments from bootstrapping the data in the moment analysis. The 68\% confidence interval on the angular observable is indicated by the shaded region.
\label{fig:moments:bootstraps:optimised:bin4}}
\end{figure}

\clearpage 

\begin{figure}[!htb]
\begin{center}
\includegraphics[width=0.45\linewidth]{moments/bootstraps_P1_5p0_6p0.pdf}
\includegraphics[width=0.45\linewidth]{moments/bootstraps_P2_5p0_6p0.pdf}\\
\includegraphics[width=0.45\linewidth]{moments/bootstraps_P3_5p0_6p0.pdf}
\includegraphics[width=0.45\linewidth]{moments/bootstraps_P4_5p0_6p0.pdf} \\
\includegraphics[width=0.45\linewidth]{moments/bootstraps_P5_5p0_6p0.pdf}
\includegraphics[width=0.45\linewidth]{moments/bootstraps_P6_5p0_6p0.pdf} \\
\includegraphics[width=0.45\linewidth]{moments/bootstraps_P8_5p0_6p0.pdf}
\end{center}
\caption{
Distribution of pseudoexperiments from bootstrapping the data in the moment analysis. The 68\% confidence interval on the angular observable is indicated by the shaded region.
\label{fig:moments:bootstraps:optimised:bin5}}
\end{figure}

\clearpage 

\begin{figure}[!htb]
\begin{center}
\includegraphics[width=0.45\linewidth]{moments/bootstraps_P1_6p0_7p0.pdf}
\includegraphics[width=0.45\linewidth]{moments/bootstraps_P2_6p0_7p0.pdf}\\
\includegraphics[width=0.45\linewidth]{moments/bootstraps_P3_6p0_7p0.pdf}
\includegraphics[width=0.45\linewidth]{moments/bootstraps_P4_6p0_7p0.pdf} \\
\includegraphics[width=0.45\linewidth]{moments/bootstraps_P5_6p0_7p0.pdf}
\includegraphics[width=0.45\linewidth]{moments/bootstraps_P6_6p0_7p0.pdf} \\
\includegraphics[width=0.45\linewidth]{moments/bootstraps_P8_6p0_7p0.pdf}
\end{center}
\caption{
Distribution of pseudoexperiments from bootstrapping the data in the moment analysis. The 68\% confidence interval on the angular observable is indicated by the shaded region.
\label{fig:moments:bootstraps:optimised:bin6}}
\end{figure}

\clearpage 

\begin{figure}[!htb]
\begin{center}
\includegraphics[width=0.45\linewidth]{moments/bootstraps_P1_7p0_8p0.pdf}
\includegraphics[width=0.45\linewidth]{moments/bootstraps_P2_7p0_8p0.pdf}\\
\includegraphics[width=0.45\linewidth]{moments/bootstraps_P3_7p0_8p0.pdf}
\includegraphics[width=0.45\linewidth]{moments/bootstraps_P4_7p0_8p0.pdf} \\
\includegraphics[width=0.45\linewidth]{moments/bootstraps_P5_7p0_8p0.pdf}
\includegraphics[width=0.45\linewidth]{moments/bootstraps_P6_7p0_8p0.pdf} \\
\includegraphics[width=0.45\linewidth]{moments/bootstraps_P8_7p0_8p0.pdf}
\end{center}
\caption{
Distribution of pseudoexperiments from bootstrapping the data in the moment analysis. The 68\% confidence interval on the angular observable is indicated by the shaded region.
\label{fig:moments:bootstraps:optimised:bin7}}
\end{figure}

\clearpage 

\begin{figure}[!htb]
\begin{center}
\includegraphics[width=0.45\linewidth]{moments/bootstraps_P1_11p0_11p75.pdf}
\includegraphics[width=0.45\linewidth]{moments/bootstraps_P2_11p0_11p75.pdf}\\
\includegraphics[width=0.45\linewidth]{moments/bootstraps_P3_11p0_11p75.pdf}
\includegraphics[width=0.45\linewidth]{moments/bootstraps_P4_11p0_11p75.pdf} \\
\includegraphics[width=0.45\linewidth]{moments/bootstraps_P5_11p0_11p75.pdf}
\includegraphics[width=0.45\linewidth]{moments/bootstraps_P6_11p0_11p75.pdf} \\
\includegraphics[width=0.45\linewidth]{moments/bootstraps_P8_11p0_11p75.pdf}
\end{center}
\caption{
Distribution of pseudoexperiments from bootstrapping the data in the moment analysis. The 68\% confidence interval on the angular observable is indicated by the shaded region.
\label{fig:moments:bootstraps:optimised:bin8}}
\end{figure}

\clearpage 

\begin{figure}[!htb]
\begin{center}
\includegraphics[width=0.45\linewidth]{moments/bootstraps_P1_11p75_12p5.pdf}
\includegraphics[width=0.45\linewidth]{moments/bootstraps_P2_11p75_12p5.pdf}\\
\includegraphics[width=0.45\linewidth]{moments/bootstraps_P3_11p75_12p5.pdf}
\includegraphics[width=0.45\linewidth]{moments/bootstraps_P4_11p75_12p5.pdf} \\
\includegraphics[width=0.45\linewidth]{moments/bootstraps_P5_11p75_12p5.pdf}
\includegraphics[width=0.45\linewidth]{moments/bootstraps_P6_11p75_12p5.pdf} \\
\includegraphics[width=0.45\linewidth]{moments/bootstraps_P8_11p75_12p5.pdf}
\end{center}
\caption{
Distribution of pseudoexperiments from bootstrapping the data in the moment analysis. The 68\% confidence interval on the angular observable is indicated by the shaded region.
\label{fig:moments:bootstraps:optimised:bin9}}
\end{figure}

\clearpage 



\begin{figure}[!htb]
\begin{center}
\includegraphics[width=0.45\linewidth]{moments/bootstraps_P1_15p0_16p0.pdf}
\includegraphics[width=0.45\linewidth]{moments/bootstraps_P2_15p0_16p0.pdf}\\
\includegraphics[width=0.45\linewidth]{moments/bootstraps_P3_15p0_16p0.pdf}
\includegraphics[width=0.45\linewidth]{moments/bootstraps_P4_15p0_16p0.pdf} \\
\includegraphics[width=0.45\linewidth]{moments/bootstraps_P5_15p0_16p0.pdf}
\includegraphics[width=0.45\linewidth]{moments/bootstraps_P6_15p0_16p0.pdf} \\
\includegraphics[width=0.45\linewidth]{moments/bootstraps_P8_15p0_16p0.pdf}
\end{center}
\caption{
Distribution of pseudoexperiments from bootstrapping the data in the moment analysis. The 68\% confidence interval on the angular observable is indicated by the shaded region.
\label{fig:moments:bootstraps:optimised:bin10}}
\end{figure}

\clearpage 


\begin{figure}[!htb]
\begin{center}
\includegraphics[width=0.45\linewidth]{moments/bootstraps_P1_16p0_17p0.pdf}
\includegraphics[width=0.45\linewidth]{moments/bootstraps_P2_16p0_17p0.pdf}\\
\includegraphics[width=0.45\linewidth]{moments/bootstraps_P3_16p0_17p0.pdf}
\includegraphics[width=0.45\linewidth]{moments/bootstraps_P4_16p0_17p0.pdf} \\
\includegraphics[width=0.45\linewidth]{moments/bootstraps_P5_16p0_17p0.pdf}
\includegraphics[width=0.45\linewidth]{moments/bootstraps_P6_16p0_17p0.pdf} \\
\includegraphics[width=0.45\linewidth]{moments/bootstraps_P8_16p0_17p0.pdf}
\end{center}
\caption{
Distribution of pseudoexperiments from bootstrapping the data in the moment analysis. The 68\% confidence interval on the angular observable is indicated by the shaded region.
\label{fig:moments:bootstraps:optimised:bin11}}
\end{figure}

\clearpage 


\begin{figure}[!htb]
\begin{center}
\includegraphics[width=0.45\linewidth]{moments/bootstraps_P1_17p0_18p0.pdf}
\includegraphics[width=0.45\linewidth]{moments/bootstraps_P2_17p0_18p0.pdf}\\
\includegraphics[width=0.45\linewidth]{moments/bootstraps_P3_17p0_18p0.pdf}
\includegraphics[width=0.45\linewidth]{moments/bootstraps_P4_17p0_18p0.pdf} \\
\includegraphics[width=0.45\linewidth]{moments/bootstraps_P5_17p0_18p0.pdf}
\includegraphics[width=0.45\linewidth]{moments/bootstraps_P6_17p0_18p0.pdf} \\
\includegraphics[width=0.45\linewidth]{moments/bootstraps_P8_17p0_18p0.pdf}
\end{center}
\caption{
Distribution of pseudoexperiments from bootstrapping the data in the moment analysis. The 68\% confidence interval on the angular observable is indicated by the shaded region.
\label{fig:moments:bootstraps:optimised:bin12}}
\end{figure}

\clearpage 



\begin{figure}[!htb]
\begin{center}
\includegraphics[width=0.45\linewidth]{moments/bootstraps_P1_18p0_19p0.pdf}
\includegraphics[width=0.45\linewidth]{moments/bootstraps_P2_18p0_19p0.pdf}\\
\includegraphics[width=0.45\linewidth]{moments/bootstraps_P3_18p0_19p0.pdf}
\includegraphics[width=0.45\linewidth]{moments/bootstraps_P4_18p0_19p0.pdf} \\
\includegraphics[width=0.45\linewidth]{moments/bootstraps_P5_18p0_19p0.pdf}
\includegraphics[width=0.45\linewidth]{moments/bootstraps_P6_18p0_19p0.pdf} \\
\includegraphics[width=0.45\linewidth]{moments/bootstraps_P8_18p0_19p0.pdf}
\end{center}
\caption{
Distribution of pseudoexperiments from bootstrapping the data in the moment analysis. The 68\% confidence interval on the angular observable is indicated by the shaded region.
\label{fig:moments:bootstraps:optimised:bin13}}
\end{figure}

\clearpage