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- \title[1D Bose-Einstein correlations]{1D Bose-Einstein correlations}
- \author{Marcin Chrz\k{a}szcz$^{1}$}
- \institute{$^1$~University of Zurich}
- \date{\today}
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- \begin{document}
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- \frame[plain]{\titlepage}
- \author{Marcin Chrz\k{a}szcz{~}}
- \institute{(UZH)}
- % ------------------------------------------------------------------------------
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- \begin{frame}\frametitle{Fast reminder}
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- \begin{columns}
- \column{2.8in}
- \begin{itemize}
- \item HBT interferometry can be used to study the diameters of source.
- \item For indistinguishable particles the phenomena is know as Bose-Einstein Correlations(BEC).
- \item BEC correlations occur as enhancement of same particles in the low $Q$ region.
- \item We already observed the effects.
- \item For now I want to make BEC for pions, kaons are for future(less statistics).
- \item Use 2011 sample.
- \end{itemize}
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- \column{2.2in}
- \includegraphics[height=3.cm,keepaspectratio]{images/HBT.png}
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- \end{columns}
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- \end{frame}
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- \begin{frame}\frametitle{Pre-Selection}
- \begin{center}
- \begin{tabular}{|c|c|}
- \hline
- & Cut \\
- \hline
- \hline
- track $\chi^{2}$ & $< 2.6$ GeV \\
- \hline
- track momentum & $> 3.0$ GeV \\
- \hline
- track $p_{T}$ & $> 0.1$ GeV \\
- \hline
- track IP & $< 0.2 \rm ~mm$ \\
- \hline
- track IP $\chi^{2}$ & $< 2.6$ \\
- \hline
- PID NN (pion, kaon) & $> 0.25$ \\
- \hline
- track probability to be a ghost & $< 0.3$ \\
- \hline
- \end{tabular}
- \end{center}
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- \end{frame}
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- \begin{frame}\frametitle{Selection}
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- \begin{Large}
- Hard cuts, as we have enough statistics.
- \end{Large}
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- \begin{center}
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- \begin{tabular}{|c|c|}
- \hline
- & Cut \\
- \hline
- \hline
- PID NN (pion, kaon)\footnote{No double counting with this cut} & $> 0.9$ \\
- \hline
- track IP & $< 0.05 \rm ~mm$ \\
- \hline
- track IP $\chi^2$ & $< 2$ \\
- \hline
- track probability to be a ghost & $< 0.2$ \\
- \hline
- n. PV & $== 1$ \\
- \hline
- \end{tabular}
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- \end{center}
- \end{frame}
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- %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
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- \begin{frame}\frametitle{How to measure correlations?}
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- \begin{itemize}
- \item Define a correlations function:
- \end{itemize}
- \begin{equation}
- C(q_1, q_2) = \dfrac{\rho(q_1, q_2)}{\rho(q_1) \rho(q_2)}
- \end{equation}
- \begin{itemize}
- \item There are many kinematic variables where BEC can occur. Canonical choice $Q=\sqrt{-(q_1 -q_2)^2}$.
- \item $\rho(q_1, q_2)$ is easy. For each pair of same sign particles calculate Q and plot.
- \item $\rho(q_1) \rho(q_2)$ is a bit more tricky. One way is to take opposite sign particles or mix events. Both by construction kill the BEC effects.
- \end{itemize}
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- \end{frame}
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- \begin{frame}\frametitle{Opposite sign}
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- \begin{columns}
- \column{2.5in}
- $Q$ Distribution.
- \includegraphics[width=0.9\textwidth]{images/q2.png}
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- \column{2.5in}
- $C(q_1, q_2)$ Distribution.
- \includegraphics[width=0.9\textwidth]{images/corr.png}
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- \end{columns}
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- \begin{itemize}
- \item Here I just took $1\%$ of data not to bias myself afterwards.
- \end{itemize}
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- \end{frame}
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- \begin{frame}\frametitle{Mix sample}
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- \begin{columns}
- \column{2.5in}
- $Q$ Distribution.
- \includegraphics[width=0.9\textwidth]{images/q2.png}
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- \column{2.5in}
- $C(q_1, q_2)$ Distribution.
- \includegraphics[width=0.9\textwidth]{images/corr.png}
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- \end{columns}
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- \begin{itemize}
- \item Here I just took $1\%$ of data not to bias myself afterwards.
- \end{itemize}
-
-
- \end{frame}
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-
- \end{document}