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Presentations / Kstmumu / 08_05_2015 / mchrzasz_kstarmumu.tex
@mchrzasz mchrzasz on 8 May 2015 4 KB adding more and more presentations
  1. \documentclass[xcolor=svgnames]{beamer}
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  3. \usepackage[english]{babel}
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  18. \definecolor{mygreen}{cmyk}{0.82,0.11,1,0.25}
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  21. \usetheme{Sybila}
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  23. \title[$\PBzero \to \PKstar \mu\mu$ update]{$\PBzero \to \PKstar \mu\mu$ update}
  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{Reminder}
  36. \begin{itemize}
  37. \item Last time I show you how to get the $P_x$ distributions by simulating the bifurcated Gaussian.
  38. \item Now how to get the mean and error on this distribution.
  39. \end{itemize}
  40.  
  41.  
  42.  
  43. \end{frame}
  44.  
  45. \begin{frame}\frametitle{Basics}
  46. \begin{itemize}
  47. \item We cannot just take the expected $S_x$ and expected $F_l$ and calculate: $P_x =\dfrac{S_x}{\sqrt{F_l(1-F_l)}}$ to get expected $P_x$.
  48. \item This will work only for Gaussian distributions(but not for bifurcated).
  49. \item Proposal: Fit a parabola in range $[-0.5 \rm{RMS}, 0.5\rm{RMS}]$
  50. \item Get the most probable value.
  51. \end{itemize}
  52. \begin{columns}
  53. \column{2.5in}
  54. \includegraphics[width=0.95\textwidth]{images/P1.pdf}
  55. \column{2.5in}
  56. \includegraphics[width=0.95\textwidth]{images/P5.pdf}
  57.  
  58. \end{columns}
  59.  
  60.  
  61.  
  62.  
  63. \end{frame}
  64.  
  65. \begin{frame}\frametitle{Confidence interval}
  66. \begin{small}
  67.  
  68. \begin{itemize}
  69. \item Now just need to find the $68.27\%$ interval.
  70. \item Draw a horizontal line $y=y_{max} \times 0.9$
  71. \item Iterate among all bins and select bins with events that have $y_{i~bin}>y$.
  72. \item Find $y_{68}$ for which $68.27\%$ have the property$\sum y_{i~bin>y_{68}}=0.6827 $
  73. \item Find the two spots where the $y_{68}$ line crosses the distribution.
  74. \item With current statistics I have $\mathcal{O}(10^{-4})$ error on the input $S_x$ and $\mathcal{O}(10^{-3})$ on output $P_x$.
  75. \end{itemize}
  76. \end{small}
  77. \begin{columns}
  78. \column{2.5in}
  79. \includegraphics[width=0.95\textwidth]{images/P1.pdf}
  80. \column{2.5in}
  81. \includegraphics[width=0.95\textwidth]{images/P5.pdf}
  82.  
  83. \end{columns}
  84.  
  85.  
  86. \end{frame}
  87. \begin{frame}\frametitle{Systematics}
  88. \begin{small}
  89.  
  90. \begin{itemize}
  91. \item To access systematics due to unfolding procedure we use the higher($+2$) order acceptance correction function on high statistics MC.
  92. \item I noticed that some of the weights ($1/eff$) are super large ($>100$) or even negative which fucks up our distributions and creates larger systematics then it should be.
  93. \item Repeated this study rejecting this events.
  94. \end{itemize}
  95. \end{small}
  96. \begin{tiny}
  97. \begin{tabular}{|c|c|c|c|c|c|c|c|c|}
  98. $q^2$ & $F_l$ & $S_3$ & $S_4$ & $S_5$ & $S_6$ & $S_7$ & $S_8$ & $S_9$ \\ \hline
  99. 0 & 0.0022 & 0.005 & 0.0003 & 0.0077 & 0.0066 & 0.0080 & 0.0002 & 0.0032 \\
  100. 1 & 0.0048 & 0.001 & 0.0014 & 0.0051 & 0.0088 & 0.0036 & 0.0048 & 0.0003 \\
  101. 2 & 0.0004 & 0.0001 & 0.00013 & 0.0056 & 0.0046 & 0.0014 & 0.0003 & 0.0022 \\
  102. 3 & 0.0002 & 0.0012 & 0.0007 & 0.0017 & 0.0001 & 0.0016 & 0.0011 & 0.0021 \\
  103. 4 & 0.002 & 0.0004 & 0.0005 & 0.0015 & 0.0003 & 0.0009 & 0.0002 & 0.0010 \\
  104. 5 & 0.006 & 0.0011 & 0.0007 & 0.0026 & 0.0014 & 0.0016 & 0.0015 & 0.0004 \\
  105. 6 & 0.008 & 0.0019 & 0.0008 & 0.0024 & 0.0029 & 0.0033 & 0.0019 & 0.0000 \\
  106. 7 & 0.0062 & 0.0015 & 0.0002 & 0.0011 & 0.0036 & 0.0028 & 0.0016 & 0.0005 \\
  107. 8 & 0.0035 & 0.0037 & 0.0017 & 0.0046 & 0.0037 & 0.0005 & 0.0040 & 0.0040 \\
  108. 9 & 0.005 & 0.0001 & 0.0004 & 0.0010 & 0.0009 & 0.0050 & 0.0043 & 0.0033 \\
  109. 10 & 0.0011 & 0.0044 & 0.002 & 0.0060 & 0.0059 & 0.0101 & 0.0000 & 0.0012 \\
  110. 11 & 0.0021 & 0.0018 & 0.0001 & 0.0020 & 0.0004 & 0.0052 & 0.0082 & 0.0059 \\
  111.  
  112. \end{tabular}
  113. \end{tiny}
  114.  
  115.  
  116. \end{frame}
  117. \begin{frame}\frametitle{The end}
  118. \begin{itemize}
  119. \item If we all agree with thouse procedure would like to put them in the note
  120. \item Keep on working on other systematics.
  121. \end{itemize}
  122.  
  123. \end{frame}
  124. \end{document}