- \documentclass[xcolor=svgnames]{beamer}
- \usepackage[utf8]{inputenc}
- \usepackage[english]{babel}
- \usepackage{polski}
- %\usepackage{amssymb,amsmath}
- %\usepackage[latin1]{inputenc}
- %\usepackage{amsmath}
- %\newcommand\abs[1]{\left|#1\right|}
- \usepackage{amsmath}
- \newcommand\abs[1]{\left|#1\right|}
- \usepackage{hepnicenames}
- \usepackage{hepunits}
- \usepackage{color}
- %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%5
- \definecolor{mygreen}{cmyk}{0.82,0.11,1,0.25}
- \usetheme{Sybila}
- \title[$\PBzero \to \PKstar \mu\mu$ update]{$\PBzero \to \PKstar \mu\mu$ update}
- \author{Marcin Chrz\k{a}szcz$^{1}$}
- \institute{$^1$~University of Zurich}
- \date{\today}
- \begin{document}
- % --------------------------- SLIDE --------------------------------------------
- \frame[plain]{\titlepage}
- \author{Marcin Chrz\k{a}szcz{~}}
- \institute{(UZH)}
- % ------------------------------------------------------------------------------
- % --------------------------- SLIDE --------------------------------------------
- \begin{frame}\frametitle{Reminder}
- \begin{itemize}
- \item Last time I show you how to get the $P_x$ distributions by simulating the bifurcated Gaussian.
- \item Now how to get the mean and error on this distribution.
- \end{itemize}
- \end{frame}
- \begin{frame}\frametitle{Basics}
- \begin{itemize}
- \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 $P_x$.
- \item This will work only for Gaussian distributions(but not for bifurcated).
- \item Proposal: Fit a parabola in range $[-0.5 \rm{RMS}, 0.5\rm{RMS}]$
- \item Get the most probable value.
- \end{itemize}
- \begin{columns}
- \column{2.5in}
- \includegraphics[width=0.95\textwidth]{images/P1.pdf}
- \column{2.5in}
- \includegraphics[width=0.95\textwidth]{images/P5.pdf}
- \end{columns}
- \end{frame}
- \begin{frame}\frametitle{Confidence interval}
- \begin{small}
- \begin{itemize}
- \item Now just need to find the $68.27\%$ interval.
- \item Draw a horizontal line $y=y_{max} \times 0.9$
- \item Iterate among all bins and select bins with events that have $y_{i~bin}>y$.
- \item Find $y_{68}$ for which $68.27\%$ have the property$\sum y_{i~bin>y_{68}}=0.6827 $
- \item Find the two spots where the $y_{68}$ line crosses the distribution.
- \item With current statistics I have $\mathcal{O}(10^{-4})$ error on the input $S_x$ and $\mathcal{O}(10^{-3})$ on output $P_x$.
- \end{itemize}
- \end{small}
- \begin{columns}
- \column{2.5in}
- \includegraphics[width=0.95\textwidth]{images/P1.pdf}
- \column{2.5in}
- \includegraphics[width=0.95\textwidth]{images/P5.pdf}
- \end{columns}
- \end{frame}
- \begin{frame}\frametitle{Systematics}
- \begin{small}
- \begin{itemize}
- \item To access systematics due to unfolding procedure we use the higher($+2$) order acceptance correction function on high statistics MC.
- \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.
- \item Repeated this study rejecting this events.
- \end{itemize}
- \end{small}
- \begin{tiny}
- \begin{tabular}{|c|c|c|c|c|c|c|c|c|}
- $q^2$ & $F_l$ & $S_3$ & $S_4$ & $S_5$ & $S_6$ & $S_7$ & $S_8$ & $S_9$ \\ \hline
- 0 & 0.0022 & 0.005 & 0.0003 & 0.0077 & 0.0066 & 0.0080 & 0.0002 & 0.0032 \\
- 1 & 0.0048 & 0.001 & 0.0014 & 0.0051 & 0.0088 & 0.0036 & 0.0048 & 0.0003 \\
- 2 & 0.0004 & 0.0001 & 0.00013 & 0.0056 & 0.0046 & 0.0014 & 0.0003 & 0.0022 \\
- 3 & 0.0002 & 0.0012 & 0.0007 & 0.0017 & 0.0001 & 0.0016 & 0.0011 & 0.0021 \\
- 4 & 0.002 & 0.0004 & 0.0005 & 0.0015 & 0.0003 & 0.0009 & 0.0002 & 0.0010 \\
- 5 & 0.006 & 0.0011 & 0.0007 & 0.0026 & 0.0014 & 0.0016 & 0.0015 & 0.0004 \\
- 6 & 0.008 & 0.0019 & 0.0008 & 0.0024 & 0.0029 & 0.0033 & 0.0019 & 0.0000 \\
- 7 & 0.0062 & 0.0015 & 0.0002 & 0.0011 & 0.0036 & 0.0028 & 0.0016 & 0.0005 \\
- 8 & 0.0035 & 0.0037 & 0.0017 & 0.0046 & 0.0037 & 0.0005 & 0.0040 & 0.0040 \\
- 9 & 0.005 & 0.0001 & 0.0004 & 0.0010 & 0.0009 & 0.0050 & 0.0043 & 0.0033 \\
- 10 & 0.0011 & 0.0044 & 0.002 & 0.0060 & 0.0059 & 0.0101 & 0.0000 & 0.0012 \\
- 11 & 0.0021 & 0.0018 & 0.0001 & 0.0020 & 0.0004 & 0.0052 & 0.0082 & 0.0059 \\
- \end{tabular}
- \end{tiny}
- \end{frame}
- \begin{frame}\frametitle{The end}
- \begin{itemize}
- \item If we all agree with thouse procedure would like to put them in the note
- \item Keep on working on other systematics.
- \end{itemize}
- \end{frame}
- \end{document}