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Presentations / Kstmumu / Update_Ps / mchrzasz_kstarmumu.tex
@mchrzasz mchrzasz on 6 May 2015 3 KB big commit of everything
  1. \documentclass[xcolor=svgnames]{beamer}
  2. \usepackage[utf8]{inputenc}
  3. \usepackage[english]{babel}
  4. \usepackage{polski}
  5. %\usepackage{amssymb,amsmath}
  6. %\usepackage[latin1]{inputenc}
  7. %\usepackage{amsmath}
  8. %\newcommand\abs[1]{\left|#1\right|}
  9. \usepackage{amsmath}
  10. \newcommand\abs[1]{\left|#1\right|}
  11. \usepackage{hepnicenames}
  12. \usepackage{hepunits}
  13. \usepackage{color}
  14.  
  15.  
  16.  
  17. %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%5
  18. \definecolor{mygreen}{cmyk}{0.82,0.11,1,0.25}
  19.  
  20.  
  21. \usetheme{Sybila}
  22.  
  23. \title[1D Bose-Einstein correlations]{1D Bose-Einstein correlations}
  24. \author{Marcin Chrz\k{a}szcz$^{1}$}
  25. \institute{$^1$~University of Zurich}
  26. \date{\today}
  27.  
  28. \begin{document}
  29. % --------------------------- SLIDE --------------------------------------------
  30. \frame[plain]{\titlepage}
  31. \author{Marcin Chrz\k{a}szcz{~}}
  32. \institute{(UZH)}
  33. % ------------------------------------------------------------------------------
  34. % --------------------------- SLIDE --------------------------------------------
  35. \begin{frame}\frametitle{Fast reminder}
  36.  
  37. \begin{columns}
  38. \column{2.8in}
  39. \begin{itemize}
  40. \item HBT interferometry can be used to study the diameters of source.
  41. \item For indistinguishable particles the phenomena is know as Bose-Einstein Correlations(BEC).
  42. \item BEC correlations occur as enhancement of same particles in the low $Q$ region.
  43. \item We already observed the effects.
  44. \item For now I want to make BEC for pions, kaons are for future(less statistics).
  45. \item Use 2011 sample.
  46. \end{itemize}
  47.  
  48. \column{2.2in}
  49. \includegraphics[height=3.cm,keepaspectratio]{images/HBT.png}
  50.  
  51. \end{columns}
  52. %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
  53.  
  54.  
  55. \end{frame}
  56.  
  57.  
  58. \begin{frame}\frametitle{Pre-Selection}
  59. \begin{center}
  60. \begin{tabular}{|c|c|}
  61. \hline
  62. & Cut \\
  63. \hline
  64. \hline
  65. track $\chi^{2}$ & $< 2.6$ GeV \\
  66. \hline
  67. track momentum & $> 3.0$ GeV \\
  68. \hline
  69. track $p_{T}$ & $> 0.1$ GeV \\
  70. \hline
  71. track IP & $< 0.2 \rm ~mm$ \\
  72. \hline
  73. track IP $\chi^{2}$ & $< 2.6$ \\
  74. \hline
  75. PID NN (pion, kaon) & $> 0.25$ \\
  76. \hline
  77. track probability to be a ghost & $< 0.3$ \\
  78. \hline
  79. \end{tabular}
  80. \end{center}
  81.  
  82. \end{frame}
  83.  
  84.  
  85. \begin{frame}\frametitle{Selection}
  86.  
  87. \begin{Large}
  88. Hard cuts, as we have enough statistics.
  89. \end{Large}
  90.  
  91. \begin{center}
  92.  
  93. \begin{tabular}{|c|c|}
  94. \hline
  95. & Cut \\
  96. \hline
  97. \hline
  98. PID NN (pion, kaon)\footnote{No double counting with this cut} & $> 0.9$ \\
  99. \hline
  100. track IP & $< 0.05 \rm ~mm$ \\
  101. \hline
  102. track IP $\chi^2$ & $< 2$ \\
  103. \hline
  104. track probability to be a ghost & $< 0.2$ \\
  105. \hline
  106. n. PV & $== 1$ \\
  107. \hline
  108. \end{tabular}
  109.  
  110. \end{center}
  111. \end{frame}
  112.  
  113.  
  114. %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
  115.  
  116. \begin{frame}\frametitle{How to measure correlations?}
  117.  
  118. \begin{itemize}
  119. \item Define a correlations function:
  120. \end{itemize}
  121. \begin{equation}
  122. C(q_1, q_2) = \dfrac{\rho(q_1, q_2)}{\rho(q_1) \rho(q_2)}
  123. \end{equation}
  124. \begin{itemize}
  125. \item There are many kinematic variables where BEC can occur. Canonical choice $Q=\sqrt{-(q_1 -q_2)^2}$.
  126. \item $\rho(q_1, q_2)$ is easy. For each pair of same sign particles calculate Q and plot.
  127. \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.
  128. \end{itemize}
  129.  
  130.  
  131.  
  132. \end{frame}
  133.  
  134.  
  135. \begin{frame}\frametitle{Opposite sign}
  136.  
  137. \begin{columns}
  138. \column{2.5in}
  139. $Q$ Distribution.
  140. \includegraphics[width=0.9\textwidth]{images/q2.png}
  141.  
  142.  
  143. \column{2.5in}
  144. $C(q_1, q_2)$ Distribution.
  145. \includegraphics[width=0.9\textwidth]{images/corr.png}
  146.  
  147. \end{columns}
  148.  
  149. \begin{itemize}
  150. \item Here I just took $1\%$ of data not to bias myself afterwards.
  151. \end{itemize}
  152.  
  153.  
  154. \end{frame}
  155.  
  156.  
  157.  
  158. \begin{frame}\frametitle{Mix sample}
  159.  
  160. \begin{columns}
  161. \column{2.5in}
  162. $Q$ Distribution.
  163. \includegraphics[width=0.9\textwidth]{images/q2.png}
  164.  
  165.  
  166. \column{2.5in}
  167. $C(q_1, q_2)$ Distribution.
  168. \includegraphics[width=0.9\textwidth]{images/corr.png}
  169.  
  170. \end{columns}
  171.  
  172. \begin{itemize}
  173. \item Here I just took $1\%$ of data not to bias myself afterwards.
  174. \end{itemize}
  175.  
  176.  
  177. \end{frame}
  178.  
  179.  
  180.  
  181. \end{document}