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+\useoutertheme{progressbar} +\useinnertheme{progressbar} +\usepackage{graphicx} +%\usepackage{amssymb,amsmath} +\usepackage[latin1]{inputenc} +\usepackage{amsmath} +\newcommand\abs[1]{\left|#1\right|} +\usepackage{iwona} +\usepackage{hepparticles} +\usepackage{hepnicenames} +\usepackage{hepunits} +\progressbaroptions{imagename=images/lhcb} +%\usetheme{Boadilla}f + +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%5 +\definecolor{mygreen}{cmyk}{0.82,0.11,1,0.25} +\setbeamertemplate{blocks}[rounded][shadow=false] +\addtobeamertemplate{block begin}{\pgfsetfillopacity{0.8}}{\pgfsetfillopacity{1}} +\setbeamercolor{structure}{fg=mygreen} +\setbeamercolor*{block title example}{fg=mygreen!50, +bg= blue!10} +\setbeamercolor*{block body example}{fg= blue, +bg= blue!5} + + + + + +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% +%\beamersetuncovermixins{\opaqueness<1>{25}}{\opaqueness<2->{15}} +\title{Method of moments for $\PB \to \PKstar \mu \mu$} +\author{\underline{Marcin Chrzaszcz}$^{1,2}$} +\date{\today} + +\begin{document} + +{ +\institute{$^1$ University of Zurich, $^2$ Institute of Nuclear Physics} +\setbeamertemplate{footline}{} +\begin{frame} +\logo{ +\vspace{2 mm} +\includegraphics[height=1cm,keepaspectratio]{images/uzh.jpg}~ +\includegraphics[width=1cm,keepaspectratio]{images/ifj.png}} + + \titlepage +\end{frame} +} +\institute{UZH,IFJ} + +\section[Outline]{} +\begin{frame} +\tableofcontents +\end{frame} + +\section{Introduction} +\begin{frame}\frametitle{Plan} +Why method of moments: +\begin{enumerate} +\item Complementary approach in performing the fit. +\item Allows to extract info measuring quantities in event basis depending on the angular distribution. +\item Used in $\PB \to \rho \Plepton \nu$(SLAC-386 UC-414),\\ $\PJpsi \to \PK \PK \gamma$(PRD 71, 032005 (2005) ), etc. +\end{enumerate} + + +\end{frame} +\section{Method of Moments - Theory} +\begin{frame}\frametitle{Method of moments} +{~} +Let's assume we have our pdf with $k$ unknown parameters :$PDF(x_i, \alpha)$, $dim(\alpha)=k$. One can calculate $k$ moments, which are the functions of $\alpha_i$: +\begin{equation} +\mu_i=f(\alpha_1,..., \alpha_k) = E[W_i] +\end{equation} +If we have $n$ events in our $q^2$ bin, we can estimate: +\begin{equation} +\widehat{\mu}_i=\dfrac{1}{n}\sum_{j=0}^{j=n-1} w_j +\end{equation} +, where $w_j=g(x_i)$ + +\end{frame} + +\begin{frame}\frametitle{Trivial example} +{~} +Lets see how this works in practice: +\begin{equation} +f(x)=\dfrac{x^{a-1}e^{-x/b}} {b^a \Gamma(a)} +\end{equation} +we measure the moments:\\ +\begin{center} $m_1=\dfrac{X_1+X_2+...+X_n}{n}$,\\ $m_2=\dfrac{X_1^2+X_2^2+...+X_n^2}{n}$.\\\end{center} +and calculate them analytically: +\begin{center} $m_1=ab$, $m_2=b^2a(a+1)$\end{center} +So one just needs to solve this and get the answer: +\center $a=\dfrac{m_1^2}{m_2-m_1^2}$, $b=\dfrac{m_2-m_1^2}{m_1}$ +\end{frame} + +\section{Moments of Ss} + + +\begin{frame}\frametitle{Our PDF} +{~} +The angular terms: +\begin{multline} +\dfrac{d^4\Gamma}{dq^2 dcos\theta_k dcos\theta_l d\phi}=\dfrac{9}{32\pi}( \dfrac{3}{4}(1-F_l)\sin^2 \theta_k + F_l \cos^2 \theta_k + (\dfrac{1}{4}(1-F_l)\sin^2 \theta_k \\ -F_l\cos^2) \cos 2\theta_l + J_3 \sin^2 \theta_k \sin^2 \theta_l cos2\phi + J_4 \sin2 \theta_k \sin \theta_l \cos\phi +\\ J_5 \sin 2 \theta_k \sin \theta_l \cos \phi + (J_{6s} \sin^2 \theta_k + J_{6c} \cos^2 \theta_k) \cos \theta_l + \\ J_7 \sin 2\theta_k \sin \theta_l \sin \phi + J_8 \sin 2 \theta_k \sin 2 \theta_l \sin \phi + J_9 \sin^2 \theta_k \sin^2 \theta_l \sin 2 \phi) +\end{multline} +Since we are fitting a PDF we need to ensure it is normalized: +\begin{equation} +\int_{-\pi}^{\pi} d\phi \int_{-1}^{1} d cos\theta_l \int_{-1}^{1} d cos\theta_k \dfrac{d^4\Gamma}{dq^2 dcos\theta_k dcos\theta_l d\phi}=1 +\end{equation} + + +\end{frame} +\begin{frame}\frametitle{Measuring Js} +{~} +From equation 2 we have the following: + +\begin{equation} +\dfrac{1}{4}(3 J_{1c} + 6 J_{1s} - J_{2c} - 2 J_{2s}) =1 +\end{equation} +For now we will consider the following PDF: +\begin{equation} + \dfrac{d^3\Gamma}{\Gamma dcos\theta_k dcos\theta_l d\phi }(cos\theta_k , cos\theta_l, \phi) +\end{equation} + +Becouse our PDF is not normalized and we are measuring $\Gamma+\overline{\Gamma} +$ we are effectively fitting the $S_i$ (aka $J_i \to S_i$) +\end{frame} + + +\begin{frame}\frametitle{Moments for $\PB \to \PKstar \mu \mu$} +{~} +Let's calculate the moments for Ss: +\begin{equation} + \dfrac{d^3\Gamma}{\Gamma dcos\theta_k dcos\theta_l d\phi }sin^2 \theta_k sin^2 \theta_l cos 2 \phi= \dfrac{8 S_3 }{25} +\end{equation} +\begin{equation} + \dfrac{d^3\Gamma}{\Gamma dcos\theta_k dcos\theta_l d\phi } sin 2 \theta_k sin 2 \theta_k cos\phi= \dfrac{8 S_4 }{25} +\end{equation} +\begin{equation} + \dfrac{d^3\Gamma}{\Gamma dcos\theta_k dcos\theta_l d\phi }sin2\theta_k sin\theta_l cos\phi = \dfrac{2 S_5 }{5} +\end{equation} +\begin{equation} + \dfrac{d^3\Gamma}{\Gamma dcos\theta_k dcos\theta_l d\phi} sin 2 \theta_k sin \theta_l sin \phi = \dfrac{2 S_7 }{5} +\end{equation} +\begin{equation} + \dfrac{d^3\Gamma}{\Gamma dcos\theta_k dcos\theta_l d\phi} sin 2 \theta_k sin2 \theta_l sin \phi = \dfrac{8 S_8 }{25} +\end{equation} + + + +\end{frame} +\begin{frame}\frametitle{Moments for $\PB \to \PKstar \mu \mu$} +{~} +\begin{itemize} +\item The simplest solution one could imagine. +\item We are abusing the fact that the basis is orthogonal. +\item Each of the J doesn't know about other. +\item Only $S_{1s}$, $S_{2s}$, $S_{1c}$, $S_{2c}$ and $S_{6s}$, $S_{6c}$ are not orthogonal, but to get the answer you just need to solve a linear equation system so it's not a tragedy. +\end{itemize} +\begin{equation} + \dfrac{d^3\Gamma}{\Gamma dcos\theta_k dcos\theta_l d\phi} sin^2 \theta_k cos \theta_l = 0.1(S_6c+4S_6s) +\end{equation} +\begin{equation} + \dfrac{d^3\Gamma}{\Gamma dcos\theta_k dcos\theta_l d\phi} cos \theta_l = 0.25(S_{6}c+2S_{6s}) +\end{equation} + +solution: $S_{6c}=2 (4 M_{S_{6c}} - 5 M_{S_{6s}})$, $S_{6s}= -2 M_{S_{6c}} + 5 M_{S_{6s}}$ + + + +\end{frame} + + + +\section{Toy MC study} + +\begin{frame}\frametitle{Moments for $\PB \to \PKstar \mu \mu$} +{~} +Lets see if this method actually works. Let's take some random parameters for the PDF and make a toy. +\begin{columns} +\column{2.5in} +\includegraphics[scale=0.25]{images/J5.png} + + + +\column{2.5in} +\includegraphics[scale=0.25]{images/J7.png} + + +\end{columns} +\begin{itemize} +\item let's take 300 signal events as a working case. +\end{itemize} + +\end{frame} + + + + +\begin{frame}\frametitle{Moments for $\PB \to \PKstar \mu \mu$} +{~} +\small Lets see if this method actually works. Let's take some random parameters for the PDF and make a toy. +\begin{columns} +\column{2.5in} +\includegraphics[scale=0.25]{images/J3.png} + + + +\column{2.5in} +\includegraphics[scale=0.25]{images/J4.png} + + +\end{columns} + + +\begin{itemize} +\item let's take 300 signal events as a working case... we might still change the binning +\end{itemize} + +\end{frame} + + + +\begin{frame}\frametitle{Moments for $\PB \to \PKstar \mu \mu$} +{~} +Lets see if this method actually works. Let's take some random parameters for the PDF and make a toy. +\begin{columns} +\column{2.5in} +\includegraphics[scale=0.25]{images/J8.png} + + + +\column{2.5in} +\includegraphics[scale=0.25]{images/J9.png} + + +\end{columns} + +\begin{itemize} +\item let's take 300 signal events as a working case... we might still change the binning +\end{itemize} + +\end{frame} + +\begin{frame}\frametitle{Error Estimation} +{~} +\begin{itemize} +\item Since moment is the mean of a given distribution the error can be estimated as $mean/RMS$ +\item use TOY MC to check this assumption +\end{itemize} + +\includegraphics[scale=0.3]{plots/conw.png}\\ + + +\end{frame} +%%%%%%%%%%%%%%%%%%%%%%%%5 +\begin{frame}\frametitle{Correlation check} +{~} +\begin{itemize} +\item In theory $S_i$ shouldn't be correlated to $S_j$ in the moment calculation. +\item Lets put this to a test. +\end{itemize} + +\begin{columns} +\column{2.5in} +\includegraphics[scale=0.2]{plots/J9J4.png}\\ + + +\column{2.5in} +\includegraphics[scale=0.2]{plots/J8J5.png}\\ + + +\end{columns} + + +\end{frame} + + +%%%%%%%%%%%%%%%%%%%%%%%%5 +\begin{frame}\frametitle{Correlation check 2} +{~} +\begin{itemize} +\item Let's now FIX $J_x$ and simulate different $J_y$ +\item Again theory would suggest that one J shouldn't know about the other, so $J_x$ shouldn't change with scanning $J_y$ parameter +\end{itemize} + +\begin{columns} +\column{2.5in} +\includegraphics[scale=0.24]{plots/J5_vs_J9_300.png}\\ + + +\column{2.5in} +\includegraphics[scale=0.24]{plots/J3_vs_J9_300.png}\\ + + +\end{columns} + + +\end{frame} + + + +\section{2 am discovery} +\begin{frame}\frametitle{What will happen to our problem with an S-wave?} +{~} +Reminder: +\begin{multline} +\dfrac{d^4\Gamma}{dq^2 dcos\theta_k dcos\theta_l d\phi}=\dfrac{9}{32\pi}( J_{1s}sin^2 \theta_k + J_{1c}cos^2 \theta_k + (J_{2s}sin^2 \theta_k + \\ J_{2c}cos^2) cos 2\theta_l + J_3 sin^2 \theta_k sin^2 \theta_l cos2\phi + J_4 sin2 \theta_k sin \theta_l cos\phi +\\ J_5 sin2 \theta_k sin \theta_l cos \phi + (J_{6s} sin^2 \theta_k + J_{6c} cos^2 \theta_k) cos \theta_l + \\ J_7 sin 2\theta_k sin \theta_l sin \phi + J_8 sin 2 \theta_k sin 2 \theta_l sin phi + J_9 sin^2 \theta_k sin^2 \theta_l sin 2 \phi) +\end{multline} +Let's add a very discussing things that keeps us awake at night: +\begin{multline} +W_s =\dfrac{2}{3} F_s \sin^2 \theta_l + \frac{4}{3} A_s \sin^2 \theta_l \cos \theta_k + I_4 sin \theta_k sin 2 \theta_lcos \phi \\+ I_5 sin \theta_k sin \theta_l cos \phi + I_7 sin \theta_k sin \theta_l + sin \phi + I_8 sin \theta_k sin 2\theta_l sin\phi) +\end{multline} + + +\end{frame} + +\begin{frame}\frametitle{What will happen to our problem with an S-wave?} +{~} +So now our PDF is sum of eq. 15 and 16. Of coz we need to require normalization: +\begin{equation} +\dfrac{1}{12}(32 I_{1a} + 9 J_{1c} + 18 J_{1s} - 3 J_{2c} - 6 J_{2s}) =1 +\end{equation} +No surprises here. If we have a S-wave it has to enter in $\Gamma$. +To build up the preasure, what will happen to our Ss? + + + +\end{frame} + + +\begin{frame}\frametitle{NOTHING!!!!!!!!} +{~} +We are completely insensitive to S-wave: +\begin{equation} + \dfrac{d^3\Gamma}{\Gamma dcos\theta_k dcos\theta_l d\phi }sin^2 \theta_k sin^2 \theta_l cos 2 \phi= \dfrac{8 S_3 }{25} +\end{equation} +\begin{equation} + \dfrac{d^3\Gamma}{\Gamma dcos\theta_k dcos\theta_l d\phi } sin 2 \theta_k sin 2 \theta_k cos\phi= \dfrac{8 S_4 }{25} +\end{equation} +\begin{equation} + \dfrac{d^3\Gamma}{\Gamma dcos\theta_k dcos\theta_l d\phi }sin2\theta_k sin\theta_l cos\phi = \dfrac{2 S_5 }{5} +\end{equation} +\begin{equation} + \dfrac{d^3\Gamma}{\Gamma dcos\theta_k dcos\theta_l d\phi} sin 2 \theta_k sin \theta_l sin \phi = \dfrac{2 S_7 }{5} +\end{equation} +\begin{equation} + \dfrac{d^3\Gamma}{\Gamma dcos\theta_k dcos\theta_l d\phi} sin 2 \theta_k sin2 \theta_l sin \phi = \dfrac{8 S_8 }{25} +\end{equation} + + + +\end{frame} + +\begin{frame}\frametitle{Thins get better :)} +{~} +We can even measure directly the S-wave: +\begin{equation} + \dfrac{d^3\Gamma}{\Gamma dcos\theta_k dcos\theta_l d\phi }sin^2 \theta_l cos \theta_k = \dfrac{32 I_{1b} }{45} +\end{equation} +\begin{equation} + \dfrac{d^3\Gamma}{\Gamma dcos\theta_k dcos\theta_l d\phi } sin \theta_k sin 2 \theta_l cos \phi = \dfrac{16 I_4 }{45} +\end{equation} +\begin{equation} + \dfrac{d^3\Gamma}{\Gamma dcos\theta_k dcos\theta_l d\phi } sin\theta_k sin\theta_l cos\phi = \dfrac{4 I_5 }{9} +\end{equation} +\begin{equation} + \dfrac{d^3\Gamma}{\Gamma dcos\theta_k dcos\theta_l d\phi} sin \theta_k sin 2 \theta_l sin \phi = \dfrac{4 I_7 }{9} +\end{equation} +\begin{equation} + \dfrac{d^3\Gamma}{\Gamma dcos\theta_k dcos\theta_l d\phi} sin \theta_k sin2 \theta_l sin \phi = \dfrac{16 S_8 }{45} +\end{equation} + + + +\end{frame} + + +\begin{frame}\frametitle{Conclusions on S-wave} +{~} +\begin{itemize} +\item S-wave components are transparent to method of moments. +\item If they are orthogonal to others all they toy studies holds for them as well(will reapat for robustness but can bet my house that there is nothing going on there). +\item +\end{itemize} + +\end{frame} + + + +\begin{frame}\frametitle{Conclusions} +{~} +\begin{itemize} +\item Implemented moments method for the K*mm and start testing with toy MC +\item The method converge fast and works for the "simple case", i.e. signal only. +\item Method completely insensitive to S-wave component, thanks to orthogonality. +\item Complementary one can measure in-depended S-wave component. +\end{itemize} +TO DO: +\begin{itemize} +\item add realism: backgrounds +\item Do the unfolding +\item Study binning +\end{itemize} + +\end{frame} +%%%%%%%%%%%%%%%%%%%%%%%%%55 +\begin{frame}\frametitle{~} +{~} +\center \Huge BACKUPS + +\end{frame} + +\begin{frame} +{~} + +\begin{columns} +\column{2.5in} +\includegraphics[scale=0.17]{plots/pool_plots/J1c_50.png}\\ +\includegraphics[scale=0.17]{plots/pool_plots/J1c_75.png}\\ + + +\column{2.5in} +\includegraphics[scale=0.17]{plots/pool_plots/J1c_50E.png}\\ +\includegraphics[scale=0.17]{plots/pool_plots/J1c_75E.png} + + +\end{columns} +\end{frame} + +\begin{frame} +{~} + +\begin{columns} +\column{2.5in} +\includegraphics[scale=0.17]{plots/pool_plots/J1c_125.png}\\ +\includegraphics[scale=0.17]{plots/pool_plots/J1c_175.png}\\ + + +\column{2.5in} +\includegraphics[scale=0.17]{plots/pool_plots/J1c_125E.png}\\ +\includegraphics[scale=0.17]{plots/pool_plots/J1c_175E.png} + + +\end{columns} +\end{frame} + +\begin{frame} +{~} + +\begin{columns} +\column{2.5in} +\includegraphics[scale=0.17]{plots/pool_plots/J1c_225.png}\\ +\includegraphics[scale=0.17]{plots/pool_plots/J1c_300.png}\\ + + +\column{2.5in} +\includegraphics[scale=0.17]{plots/pool_plots/J1c_225E.png}\\ +\includegraphics[scale=0.17]{plots/pool_plots/J1c_300E.png} + + +\end{columns} +\end{frame} + + +\begin{frame} +{~} + +\begin{columns} +\column{2.5in} +\includegraphics[scale=0.17]{plots/pool_plots/J1c_400.png}\\ + + + +\column{2.5in} +\includegraphics[scale=0.17]{plots/pool_plots/J1c_400E.png}\\ + + + +\end{columns} +\end{frame} + +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%55 +\begin{frame} +{~} + +\begin{columns} +\column{2.5in} +\includegraphics[scale=0.17]{plots/pool_plots/J1s_50.png}\\ +\includegraphics[scale=0.17]{plots/pool_plots/J1s_75.png}\\ + + +\column{2.5in} +\includegraphics[scale=0.17]{plots/pool_plots/J1s_50E.png}\\ +\includegraphics[scale=0.17]{plots/pool_plots/J1s_75E.png} + + +\end{columns} +\end{frame} + +\begin{frame} +{~} + +\begin{columns} +\column{2.5in} +\includegraphics[scale=0.17]{plots/pool_plots/J1s_125.png}\\ +\includegraphics[scale=0.17]{plots/pool_plots/J1s_175.png}\\ + + +\column{2.5in} +\includegraphics[scale=0.17]{plots/pool_plots/J1s_125E.png}\\ +\includegraphics[scale=0.17]{plots/pool_plots/J1s_175E.png} + + +\end{columns} +\end{frame} + +\begin{frame} +{~} + +\begin{columns} +\column{2.5in} +\includegraphics[scale=0.17]{plots/pool_plots/J1s_225.png}\\ +\includegraphics[scale=0.17]{plots/pool_plots/J1s_300.png}\\ + + +\column{2.5in} +\includegraphics[scale=0.17]{plots/pool_plots/J1s_225E.png}\\ +\includegraphics[scale=0.17]{plots/pool_plots/J1s_300E.png} + + +\end{columns} +\end{frame} + + +\begin{frame} +{~} + +\begin{columns} +\column{2.5in} +\includegraphics[scale=0.17]{plots/pool_plots/J1s_400.png}\\ + + + +\column{2.5in} +\includegraphics[scale=0.17]{plots/pool_plots/J1s_400E.png}\\ + + + +\end{columns} +\end{frame} + +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% +\begin{frame} +{~} + +\begin{columns} +\column{2.5in} +\includegraphics[scale=0.17]{plots/pool_plots/J2c_50.png}\\ +\includegraphics[scale=0.17]{plots/pool_plots/J2c_75.png}\\ + + +\column{2.5in} +\includegraphics[scale=0.17]{plots/pool_plots/J2c_50E.png}\\ +\includegraphics[scale=0.17]{plots/pool_plots/J2c_75E.png} + + +\end{columns} +\end{frame} + +\begin{frame} +{~} + +\begin{columns} +\column{2.5in} +\includegraphics[scale=0.17]{plots/pool_plots/J2c_125.png}\\ +\includegraphics[scale=0.17]{plots/pool_plots/J2c_175.png}\\ + + +\column{2.5in} +\includegraphics[scale=0.17]{plots/pool_plots/J2c_125E.png}\\ +\includegraphics[scale=0.17]{plots/pool_plots/J2c_175E.png} + + +\end{columns} +\end{frame} + +\begin{frame} +{~} + +\begin{columns} +\column{2.5in} +\includegraphics[scale=0.17]{plots/pool_plots/J2c_225.png}\\ +\includegraphics[scale=0.17]{plots/pool_plots/J2c_300.png}\\ + + +\column{2.5in} +\includegraphics[scale=0.17]{plots/pool_plots/J2c_225E.png}\\ +\includegraphics[scale=0.17]{plots/pool_plots/J2c_300E.png} + + +\end{columns} +\end{frame} + + +\begin{frame} +{~} + +\begin{columns} +\column{2.5in} +\includegraphics[scale=0.17]{plots/pool_plots/J2c_400.png}\\ +\includegraphics[scale=0.17]{plots/pool_plots/J2c_500.png}\\ + + +\column{2.5in} +\includegraphics[scale=0.17]{plots/pool_plots/J2c_400E.png}\\ +\includegraphics[scale=0.17]{plots/pool_plots/J2c_500E.png}\\ + + +\end{columns} +\end{frame} + + +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% +\begin{frame} +{~} + +\begin{columns} +\column{2.5in} +\includegraphics[scale=0.17]{plots/pool_plots/J3_50.png}\\ +\includegraphics[scale=0.17]{plots/pool_plots/J3_75.png}\\ + + +\column{2.5in} +\includegraphics[scale=0.17]{plots/pool_plots/J3_50E.png}\\ +\includegraphics[scale=0.17]{plots/pool_plots/J3_75E.png} + + +\end{columns} +\end{frame} + +\begin{frame} +{~} + +\begin{columns} +\column{2.5in} +\includegraphics[scale=0.17]{plots/pool_plots/J3_125.png}\\ +\includegraphics[scale=0.17]{plots/pool_plots/J3_175.png}\\ + + +\column{2.5in} +\includegraphics[scale=0.17]{plots/pool_plots/J3_125E.png}\\ +\includegraphics[scale=0.17]{plots/pool_plots/J3_175E.png} + + +\end{columns} +\end{frame} + +\begin{frame} +{~} + +\begin{columns} +\column{2.5in} +\includegraphics[scale=0.17]{plots/pool_plots/J3_225.png}\\ +\includegraphics[scale=0.17]{plots/pool_plots/J3_300.png}\\ + + +\column{2.5in} +\includegraphics[scale=0.17]{plots/pool_plots/J3_225E.png}\\ +\includegraphics[scale=0.17]{plots/pool_plots/J3_300E.png} + + +\end{columns} +\end{frame} + + +\begin{frame} +{~} + +\begin{columns} +\column{2.5in} +\includegraphics[scale=0.17]{plots/pool_plots/J3_400.png}\\ +\includegraphics[scale=0.17]{plots/pool_plots/J3_500.png}\\ + + +\column{2.5in} +\includegraphics[scale=0.17]{plots/pool_plots/J3_400E.png}\\ +\includegraphics[scale=0.17]{plots/pool_plots/J3_500E.png}\\ + + +\end{columns} +\end{frame} + + + +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% +\begin{frame} +{~} + +\begin{columns} +\column{2.5in} +\includegraphics[scale=0.17]{plots/pool_plots/J4_50.png}\\ +\includegraphics[scale=0.17]{plots/pool_plots/J4_75.png}\\ + + +\column{2.5in} +\includegraphics[scale=0.17]{plots/pool_plots/J4_50E.png}\\ +\includegraphics[scale=0.17]{plots/pool_plots/J4_75E.png} + + +\end{columns} +\end{frame} + +\begin{frame} +{~} + +\begin{columns} +\column{2.5in} +\includegraphics[scale=0.17]{plots/pool_plots/J4_125.png}\\ +\includegraphics[scale=0.17]{plots/pool_plots/J4_175.png}\\ + + +\column{2.5in} +\includegraphics[scale=0.17]{plots/pool_plots/J4_125E.png}\\ +\includegraphics[scale=0.17]{plots/pool_plots/J4_175E.png} + + +\end{columns} +\end{frame} + +\begin{frame} +{~} + +\begin{columns} +\column{2.5in} +\includegraphics[scale=0.17]{plots/pool_plots/J4_225.png}\\ +\includegraphics[scale=0.17]{plots/pool_plots/J4_300.png}\\ + + +\column{2.5in} +\includegraphics[scale=0.17]{plots/pool_plots/J4_225E.png}\\ +\includegraphics[scale=0.17]{plots/pool_plots/J4_300E.png} + + +\end{columns} +\end{frame} + + +\begin{frame} +{~} + +\begin{columns} +\column{2.5in} +\includegraphics[scale=0.17]{plots/pool_plots/J4_400.png}\\ +\includegraphics[scale=0.17]{plots/pool_plots/J4_500.png}\\ + + +\column{2.5in} +\includegraphics[scale=0.17]{plots/pool_plots/J4_400E.png}\\ 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+\definecolor{mygreen}{cmyk}{0.82,0.11,1,0.25} + + +\usetheme{Sybila} + +\title[Unfolding for counting experiments]{Unfolding for counting experiments} +\author{Marcin Chrz\k{a}szcz$^{1,2}$, Nicola Serra$^{1}$} +\institute{$^1$~University of Zurich,\\ $^2$~Institute of Nuclear Physics, Krakow} +\date{\today} + +\begin{document} +% --------------------------- SLIDE -------------------------------------------- +\frame[plain]{\titlepage} +\author{Marcin Chrz\k{a}szcz} +% ------------------------------------------------------------------------------ +% --------------------------- SLIDE -------------------------------------------- + +\begin{frame}\frametitle{Quo vadis $\PBzero \to \PKstar \mu \mu$?} + +\center \includegraphics[width=0.8\paperwidth]{diagram.png}\\ + +\end{frame} +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% +\begin{frame}\frametitle{Quo vadis $\PBzero \to \PKstar \mu \mu$?} + +\center \includegraphics[width=0.8\paperwidth]{matrix.png}\\ + +\end{frame} + + +\section{Introduction} +\begin{frame}\frametitle{4D unfolding} +\begin{itemize} +\item Method of moments can use 2 different unfolding techniques. +\item One of them is Christophs 4D unfolding +\item Easy peasy: +\end{itemize} +\begin{equation} +\widehat{x}=\sum_i^n= \dfrac{f(\theta_{li}, \theta_{ki}, \phi_i)}{n} \rightarrow \dfrac{f(\theta_{li}, \theta_{ki}, \phi_i) \times w_i}{\sum_j^n w_j} +\end{equation} +Very easy and has proved to work. See presentation \href{https://indico.cern.ch/event/290857/contribution/1/material/slides/0.pdf}{LINK} +\end{frame} + +\begin{frame}\frametitle{Matrix unfolding} +\begin{itemize} +\item Our PDF is a vector in 8 dim space, where the dimensions are:\\ +$f_{x}$\footnote{See 1st presentation on Method of moments. } +\item Our acceptance is a function: +\end{itemize} +\begin{equation} +\epsilon(\cos \theta_k, \cos \theta_l,\phi) +\end{equation} +\begin{itemize} +\item We assume it's a smooth function($C^{\infty}$). +\item Normal moments: +\end{itemize} +\begin{equation} +M_x=\int PDF \times f_x \rightarrow \overline{M_x}=\int PDF \times f_x \times \epsilon(\cos \theta_k, \cos \theta_l,\phi) +\end{equation} +\begin{itemize} +\item Let's play Christophs trick: +\end{itemize} +\begin{equation} +\epsilon(\cos \theta_k, \cos \theta_l,\phi)=\sum A_{\alpha, \beta, \gamma}\cos^{\alpha} \theta_k \cos^{\beta} \theta_l \phi^{\gamma} +\end{equation} +\end{frame} + + + + +\begin{frame}\frametitle{Matrix unfolding} +\begin{itemize} +\item Our Moments will become: +\end{itemize} +\small{ +\begin{equation} +\int PDF \times f_x \times \epsilon(\cos \theta_k, \cos \theta_l,\phi) =\sum A_{\alpha, \beta, \gamma} \int PDF \times f_x \times \cos^{\alpha} \theta_k \cos^{\beta} \theta_l \phi^{\gamma} +\end{equation} +} +\begin{itemize} +\item We just need to show that: +\end{itemize} + +\begin{equation} +\int PDF \times f_x \times \cos^{\alpha} \theta_k \cos^{\beta} \theta_l \phi^{\gamma} = \sum_y B_y \int PDF \times f_y = \sum_y B_y~M_y +\end{equation} +\begin{itemize} +\item This is a bit nasty but doable, using Mathematica. You just need to check 8 base functions. +\item As expected it's is linear terms. +\item I also checked this using analytical calculations. +\end{itemize} + +\end{frame} + + +\begin{frame}\frametitle{Constructing Matrix unfolding} +\begin{itemize} +\item Ok, so we know that the matrix exists. +\item How ever we don't know explicate +\end{itemize} +\small{ +\begin{equation} +\epsilon(\cos \theta_k, \cos \theta_l,\phi) +\end{equation} +} +\begin{itemize} +\item We don't, we just need to calculate matrix elements +\item Let's use PHSP MC. +\item Moments for PHSP MC are:\\ +$v^{T}_{gen}=(2/3 ,0,0,0,0,0,0,0)$ +\item After reconstruction we get: +$v^{T}_{rec}=( 0.7069,0.0077,-0.00236466,0.0005,0.0007,0.0011,0.0011,-0.0012)$ +\end{itemize} + + + +\end{frame} + +\begin{frame}\frametitle{Constructing Matrix unfolding} +\begin{itemize} +\item We got first column of the unfolding matrix. +\end{itemize} +\small{ +$ \begin{pmatrix} + 1.06 & \cdots & a_{1,8} \\ + 0.01157 & \cdots & a_{2,8} \\ + -0.003547 & \ddots & \vdots \\ + 0.0007841 & \ddots & \vdots \\ + 0.001126 & \ddots & \vdots \\ + 0.001766 & \ddots & \vdots \\ + 0.001664 & \ddots & \vdots \\ + -0.001937 & \cdots & a_{8,8} + \end{pmatrix}$ + + +} +\begin{itemize} +\item How about the others? +\item We can reweight accordingly to $f_x$. +\end{itemize} + +\end{frame} + +\begin{frame}\frametitle{Constructing Matrix unfolding} +\begin{itemize} +\item To get $S_3$ each event $i^{th}$ has has weight $f_{S_3}(\cos \theta_{k_i},\cos \theta_{l_i},\phi_i) $ +\item One can calculate on MC the reweighed moments in PHPS: +\end{itemize} +\begin{equation} +\int PDF*f_{S_3}=\dfrac{32}{225} +\end{equation} +\begin{itemize} +\item Our base vector now is:$v^{T}_{gen}=(0 ,\frac{32}{225},0,0,0,0,0,0)$ +\item So lets see what do we get as reconstructed vector(after multiplying by $\frac{225}{32}$. +\small{$v^{T}_{rec}=( 0.042, 1.105,-0.005,0.003,-0.0023,-0.005,-0.005,-0.006)$ } +\end{itemize} + +\end{frame} + + +\begin{frame}\frametitle{Constructing Matrix unfolding} +\begin{itemize} +\item Now the matrix looks like: +\end{itemize} +\small{ +$ \begin{pmatrix} + 1.06 & 0.042 & \cdots & a_{1,8} \\ + 0.01157 & 1.105 & \cdots & a_{2,8} \\ + -0.003547 & -0.005 & \ddots & \vdots \\ + 0.0007841 &-0.005 & \ddots & \vdots \\ + 0.001126 & 0.003 &\ddots & \vdots \\ + 0.001766 & -0.0023 &\ddots & \vdots \\ + 0.001664 & -0.005 &\ddots & \vdots \\ + -0.001937 & -0.006 &\cdots & a_{8,8} + \end{pmatrix}$ + + +} +\begin{itemize} +\item The others go in the same way. +\item Repenting this exercise from $1^{st}$ year algebra we can get the full matrix +\end{itemize} + + +\end{frame} +\begin{frame}\frametitle{Constructing Matrix unfolding} +\begin{itemize} +\item The full transformation matrix from generator space to reconstructed space: +\end{itemize} +\tiny{ +$ A_{gen\rightarrow reco}=\begin{pmatrix} + 1.06 & 0.0423 & -0.0081 & 0.0022 & 0.0049 & 0.0037 & 0.0028 & -0.0065 \\ + + 0.0115 & 1.105 & -0.0050 & 0.0027 & -0.0018 & -0.0040 &-0.0054 & -0.0065 \\ + -0.0035 & -0.0050 & 0.981 & 0.0005 & -0.0025 & 0.0002 & -0.0037 & -0.0048\\ + 0.00078 & 0.0034 & 0.0006 & 1.002 & -0.0032 & -0.0040 & 0.0003 & 0.0018\\ + 0.001126 & -0.0023 & -0.0032 & -0.0032 & 1.055 & 0.001& -0.004 & 0.0023\\ + 0.00176 & -0.0050 & 0.00036 & -0.0040 & 0.0011 & 0.96 & -0.0057 & 0.0009 \\ + 0.0016 & -0.005 & -0.003 & 0.00029& -0.003 &-0.004 & 0.9543 & 0.0000\\ + -0.0019 & -0.0065 & -0.004 & 0.001 & 0.0018 & 0.0007 & 0.000 & 1.098 \\ + + + + + + \end{pmatrix}$ + + +} +\begin{itemize} +\item Inverting the matrix is simple, and doable +\end{itemize} +\tiny{ +$ A_{reco\rightarrow gen}=\begin{pmatrix} + 0.9434 & -0.036 & 0.007& -0.0020 & -0.0044& -0.0038 & -0.0030 & 0.0054\\ + -0.009 & 0.90 & 0.0045 & -0.0024& 0.0016 & 0.003873 & 0.00527& 0.005 \\ + 0.003 & 0.00454& 1.019 & -0.00058 & 0.0025& -0.000291 & 0.004 & 0.004 \\ +-0.00071 & -0.0030 & -0.0007 & 0.9977 & 0.0030 & 0.004206 &-0.0003 & -0.0017 \\ + -0.001 & 0.0020 & 0.0031& 0.0030 & 0.9483 & -0.0010 & 0.004626 & -0.0019 \\ + -0.001 & 0.004 & -0.0003 & 0.0042 & -0.001087 & 1.037 & 0.0063 & -0.0009\\ + -0.0017 & 0.0053 & 0.0042 & -0.0002 & 0.00370& 0.0050 & 1.048 & 0.0000 \\ + 0.0016& 0.0053& 0.00452 & -0.001 & -0.001582 & -0.0007213 &0.000 & 0.9105 \\ + + + + + \end{pmatrix}$ +} + +\end{frame} + + + +\begin{frame}\frametitle{Sensitivity to unknowns} +\begin{itemize} +\item We are unfolding based on MC. +\item There are MC/Data differences, which can have impact on the unfolding. +\end{itemize} +Let's put small modification: +\begin{equation} +w_j \to \overline{w_j}= \dfrac{1}{eff(\cos \theta_{l~j}, \cos \theta_{k~j}, \phi_{j})} \times corr(\cos \theta_{l~j}, \cos \theta_{k~j}, \phi_{j}) +\end{equation} +Unfortunately God didn't allowed me sneak peak into his cards so I don't know $corr(\cos \theta_{l}, \cos \theta_{k}, \phi)$, but let's try out some functions and see what happens :) + + +\end{frame} + +\begin{frame}\frametitle{Corr1 functions} +\begin{columns} +\column{2in} +\includegraphics[width=\linewidth]{corr/Corr1_cosk.png}\\ +\includegraphics[width=\linewidth]{corr/Corr1_cosl.png}\\ +\column{2.5in} +$ +corr1(\cos_l, \cos_k,\phi)= 1+ 0.032 \cos_l - 0.032 \cos_k + 0.01 \phi +$ +\includegraphics[width=0.8\linewidth]{corr/Corr1_phi.png}\\ + +\end{columns} + +\end{frame} +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% +\begin{frame}\frametitle{Corr2 functions} +\begin{columns} +\column{2in} +\includegraphics[width=0.85\linewidth]{corr/corr21.png}\\ +\includegraphics[width=0.85\linewidth]{corr/corr22.png}\\ +\column{2.5in} +$ +corr2(\cos_l, \cos_k,\phi)= -0.02 \cos_l^2 + 0.02 \cos_k^2 - + 0.015 \phi^2+ 1 +$ +\includegraphics[width=0.75\linewidth]{corr/corr23.png}\\ + +\end{columns} + +\end{frame} + +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% +\begin{frame}\frametitle{Corr3 functions} +\begin{columns} +\column{2in} +\includegraphics[width=0.85\linewidth]{corr/corr31.png}\\ +\includegraphics[width=0.85\linewidth]{corr/corr32.png}\\ +\column{2.5in} +$ +corr3(\cos_l, \cos_k,\phi)= 0.02 \cos_l \cos_k + 0.01 \cos_k \phi - 0.01 \phi \cos_l + 1 +$ +\includegraphics[width=0.75\linewidth]{corr/corr33.png}\\ + +\end{columns} + +\end{frame} +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% +\begin{frame}\frametitle{Corr4 functions} +\begin{columns} +\column{2in} +\includegraphics[width=0.85\linewidth]{corr/corr41.png}\\ +\includegraphics[width=0.85\linewidth]{corr/corr42.png}\\ +\column{2.5in} +$ +corr3(\cos_l, \cos_k,\phi)= 0.01 \cos_k \cos_l \phi + 1 +$ +\includegraphics[width=0.75\linewidth]{corr/corr43.png}\\ + +\end{columns} + +\end{frame} + + + + +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% + + +\begin{frame}\frametitle{Corr1- MM} + + +\begin{tiny} + +\begin{center} + \begin{tabular}{ l l l l l l l l l } + \hline + \multicolumn{8}{c}{Mean of the pull} \\ \hline +$q^2$ & $S_3$ & $S_4$ & $S_5$ & $S_{6s}$ & $S_{6c}$ & $S_7$ & $S_8$ \\ \hline \hline + +0 & \scalebox{0.5}{$0.0085 \pm 0.026(0.3)$} & \scalebox{0.5}{$0.13 \pm 0.027(4.6)$} & \scalebox{0.5}{$-0.025 \pm 0.027(-0.92)$} & \scalebox{0.5}{$0.46 \pm 0.027(17)$} & \scalebox{0.5}{$-0.13 \pm 0.028(-4.7)$} & \scalebox{0.5}{$0.029 \pm 0.028(1)$} & \scalebox{0.5}{$-0.66 \pm 0.027(-25)$} \\ \hline +1 & \scalebox{0.5}{$0.0094 \pm 0.028(0.33)$} & \scalebox{0.5}{$0.078 \pm 0.028(2.8)$} & \scalebox{0.5}{$-0.02 \pm 0.028(-0.73)$} & \scalebox{0.5}{$0.24 \pm 0.028(8.5)$} & \scalebox{0.5}{$-0.075 \pm 0.028(-2.7)$} & \scalebox{0.5}{$-0.016 \pm 0.026(-0.63)$} & \scalebox{0.5}{$-0.39 \pm 0.028(-14)$} \\ \hline +2 & \scalebox{0.5}{$-0.02 \pm 0.027(-0.72)$} & \scalebox{0.5}{$0.027 \pm 0.026(1)$} & \scalebox{0.5}{$-0.024 \pm 0.027(-0.91)$} & \scalebox{0.5}{$0.18 \pm 0.027(6.8)$} & \scalebox{0.5}{$-0.024 \pm 0.027(-0.89)$} & \scalebox{0.5}{$-0.067 \pm 0.027(-2.5)$} & \scalebox{0.5}{$-0.39 \pm 0.028(-14)$} \\ \hline +3 & \scalebox{0.5}{$0.013 \pm 0.028(0.46)$} & \scalebox{0.5}{$-0.0089 \pm 0.027(-0.32)$} & \scalebox{0.5}{$0.055 \pm 0.026(2.1)$} & \scalebox{0.5}{$0.12 \pm 0.027(4.7)$} & \scalebox{0.5}{$0.11 \pm 0.027(3.9)$} & \scalebox{0.5}{$-0.018 \pm 0.028(-0.63)$} & \scalebox{0.5}{$-0.43 \pm 0.027(-16)$} \\ \hline +4 & \scalebox{0.5}{$-0.0054 \pm 0.029(-0.18)$} & \scalebox{0.5}{$-0.066 \pm 0.027(-2.4)$} & \scalebox{0.5}{$0.037 \pm 0.028(1.3)$} & \scalebox{0.5}{$0.22 \pm 0.027(8.1)$} & \scalebox{0.5}{$0.099 \pm 0.027(3.7)$} & \scalebox{0.5}{$-0.1 \pm 0.026(-3.8)$} & \scalebox{0.5}{$-0.41 \pm 0.026(-15)$} \\ \hline +5 & \scalebox{0.5}{$0.06 \pm 0.027(2.2)$} & \scalebox{0.5}{$-0.069 \pm 0.026(-2.6)$} & \scalebox{0.5}{$-0.013 \pm 0.028(-0.49)$} & \scalebox{0.5}{$0.21 \pm 0.027(7.8)$} & \scalebox{0.5}{$0.093 \pm 0.027(3.5)$} & \scalebox{0.5}{$-0.083 \pm 0.028(-3)$} & \scalebox{0.5}{$-0.41 \pm 0.028(-15)$} \\ \hline +6 & \scalebox{0.5}{$0.0064 \pm 0.026(0.25)$} & \scalebox{0.5}{$-0.051 \pm 0.027(-1.9)$} & \scalebox{0.5}{$-0.029 \pm 0.028(-1)$} & \scalebox{0.5}{$0.26 \pm 0.028(9.2)$} & \scalebox{0.5}{$0.14 \pm 0.027(5.1)$} & \scalebox{0.5}{$-0.081 \pm 0.027(-3)$} & \scalebox{0.5}{$-0.45 \pm 0.028(-16)$} \\ \hline +%7 & \scalebox{0.5}{$0.22 \pm 0.027(8)$} & \scalebox{0.5}{$-0.34 \pm 0.028(-12)$} & \scalebox{0.5}{$-0.43 \pm 0.026(-16)$} & \scalebox{0.5}{$2.4 \pm 0.029(82)$} & \scalebox{0.5}{$0.66 \pm 0.027(24)$} & \scalebox{0.5}{$-0.24 \pm 0.028(-8.6)$} & \scalebox{0.5}{$-0.51 \pm 0.027(-19)$} & +8 & \scalebox{0.5}{$0.023 \pm 0.027(0.85)$} & \scalebox{0.5}{$-0.031 \pm 0.028(-1.1)$} & \scalebox{0.5}{$0.0042 \pm 0.028(0.15)$} & \scalebox{0.5}{$0.21 \pm 0.026(7.8)$} & \scalebox{0.5}{$0.12 \pm 0.028(4.2)$} & \scalebox{0.5}{$-0.13 \pm 0.027(-4.8)$} & \scalebox{0.5}{$-0.48 \pm 0.026(-18)$} \\ \hline +9 & \scalebox{0.5}{$-0.017 \pm 0.027(-0.63)$} & \scalebox{0.5}{$-0.015 \pm 0.026(-0.56)$} & \scalebox{0.5}{$-0.0052 \pm 0.026(-0.2)$} & \scalebox{0.5}{$0.27 \pm 0.027(10)$} & \scalebox{0.5}{$0.046 \pm 0.026(1.7)$} & \scalebox{0.5}{$-0.12 \pm 0.026(-4.4)$} & \scalebox{0.5}{$-0.5 \pm 0.026(-19)$} \\ \hline +10 & \scalebox{0.5}{$-0.054 \pm 0.027(-2)$} & \scalebox{0.5}{$-0.056 \pm 0.026(-2.2)$} & \scalebox{0.5}{$0.036 \pm 0.026(1.4)$} & \scalebox{0.5}{$0.16 \pm 0.028(5.7)$} & \scalebox{0.5}{$0.077 \pm 0.028(2.8)$} & \scalebox{0.5}{$-0.034 \pm 0.027(-1.3)$} & \scalebox{0.5}{$-0.39 \pm 0.028(-14)$} \\ \hline +11 & \scalebox{0.5}{$0.023 \pm 0.027(0.88)$} & \scalebox{0.5}{$0.021 \pm 0.027(0.8)$} & \scalebox{0.5}{$-0.011 \pm 0.027(-0.41)$} & \scalebox{0.5}{$0.14 \pm 0.027(5)$} & \scalebox{0.5}{$0.042 \pm 0.027(1.6)$} & \scalebox{0.5}{$-0.098 \pm 0.028(-3.5)$} & \scalebox{0.5}{$-0.3 \pm 0.027(-11)$} \\ \hline + + + \hline + + + \end{tabular} + +\end{center} + + +\end{tiny} +\end{frame} + +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% + + +\begin{frame}\frametitle{Corr2- MM} + + +\begin{tiny} + +\begin{center} + \begin{tabular}{ l l l l l l l l l } + \hline + \multicolumn{8}{c}{Mean of the pull} \\ \hline +$q^2$ & $S_3$ & $S_4$ & $S_5$ & $S_{6s}$ & $S_{6c}$ & $S_7$ & $S_8$ \\ \hline \hline + +0 & \scalebox{0.5}{$-0.21 \pm 0.026(-8.1)$} & \scalebox{0.5}{$0.061 \pm 0.026(2.3)$} & \scalebox{0.5}{$-0.016 \pm 0.026(-0.63)$} & \scalebox{0.5}{$0.048 \pm 0.026(1.8)$} & \scalebox{0.5}{$-0.0062 \pm 0.027(-0.23)$} & \scalebox{0.5}{$-0.012 \pm 0.028(-0.44)$} & \scalebox{0.5}{$0.0091 \pm 0.026(0.36)$} \\ \hline +1 & \scalebox{0.5}{$-0.12 \pm 0.028(-4.5)$} & \scalebox{0.5}{$0.032 \pm 0.027(1.2)$} & \scalebox{0.5}{$-0.0071 \pm 0.026(-0.27)$} & \scalebox{0.5}{$0.02 \pm 0.027(0.75)$} & \scalebox{0.5}{$-0.086 \pm 0.027(-3.2)$} & \scalebox{0.5}{$-0.03 \pm 0.025(-1.2)$} & \scalebox{0.5}{$0.021 \pm 0.027(0.79)$} \\ \hline +2 & \scalebox{0.5}{$-0.15 \pm 0.027(-5.8)$} & \scalebox{0.5}{$-0.013 \pm 0.026(-0.49)$} & \scalebox{0.5}{$0.011 \pm 0.026(0.44)$} & \scalebox{0.5}{$-0.039 \pm 0.026(-1.5)$} & \scalebox{0.5}{$-0.032 \pm 0.027(-1.2)$} & \scalebox{0.5}{$-0.066 \pm 0.027(-2.5)$} & \scalebox{0.5}{$0.018 \pm 0.028(0.64)$} \\ \hline +3 & \scalebox{0.5}{$-0.15 \pm 0.027(-5.6)$} & \scalebox{0.5}{$0.025 \pm 0.026(0.96)$} & \scalebox{0.5}{$0.016 \pm 0.027(0.58)$} & \scalebox{0.5}{$-0.062 \pm 0.027(-2.3)$} & \scalebox{0.5}{$0.037 \pm 0.026(1.4)$} & \scalebox{0.5}{$0.026 \pm 0.027(0.96)$} & \scalebox{0.5}{$-0.016 \pm 0.027(-0.6)$} \\ \hline +4 & \scalebox{0.5}{$-0.12 \pm 0.028(-4.5)$} & \scalebox{0.5}{$-0.024 \pm 0.026(-0.92)$} & \scalebox{0.5}{$0.045 \pm 0.027(1.6)$} & \scalebox{0.5}{$0.0075 \pm 0.026(0.29)$} & \scalebox{0.5}{$0.015 \pm 0.027(0.53)$} & \scalebox{0.5}{$-0.036 \pm 0.026(-1.4)$} & \scalebox{0.5}{$0.037 \pm 0.026(1.4)$} \\ \hline +5 & \scalebox{0.5}{$-0.095 \pm 0.027(-3.6)$} & \scalebox{0.5}{$-0.032 \pm 0.026(-1.2)$} & \scalebox{0.5}{$0.014 \pm 0.026(0.52)$} & \scalebox{0.5}{$-0.013 \pm 0.026(-0.48)$} & \scalebox{0.5}{$-0.0093 \pm 0.027(-0.35)$} & \scalebox{0.5}{$-0.013 \pm 0.026(-0.51)$} & \scalebox{0.5}{$0.042 \pm 0.027(1.6)$} \\ \hline +6 & \scalebox{0.5}{$-0.17 \pm 0.025(-6.5)$} & \scalebox{0.5}{$0.008 \pm 0.027(0.3)$} & \scalebox{0.5}{$0.012 \pm 0.027(0.45)$} & \scalebox{0.5}{$0.029 \pm 0.027(1.1)$} & \scalebox{0.5}{$0.0072 \pm 0.027(0.27)$} & \scalebox{0.5}{$-0.0012 \pm 0.026(-0.046)$} & \scalebox{0.5}{$0.011 \pm 0.027(0.42)$} \\ \hline +%7 & \scalebox{0.5}{$0.078 \pm 0.026(3)$} & \scalebox{0.5}{$-0.3 \pm 0.026(-11)$} & \scalebox{0.5}{$-0.34 \pm 0.026(-13)$} & \scalebox{0.5}{$2.1 \pm 0.028(73)$} & \scalebox{0.5}{$0.47 \pm 0.026(18)$} & \scalebox{0.5}{$-0.17 \pm 0.027(-6.1)$} & \scalebox{0.5}{$0.0051 \pm 0.027(0.19)$} \\ \hline +8 & \scalebox{0.5}{$-0.13 \pm 0.026(-5.1)$} & \scalebox{0.5}{$-0.0077 \pm 0.027(-0.28)$} & \scalebox{0.5}{$0.05 \pm 0.027(1.9)$} & \scalebox{0.5}{$-0.03 \pm 0.026(-1.2)$} & \scalebox{0.5}{$-0.012 \pm 0.028(-0.44)$} & \scalebox{0.5}{$-0.046 \pm 0.026(-1.7)$} & \scalebox{0.5}{$0.031 \pm 0.026(1.2)$} \\ \hline +9 & \scalebox{0.5}{$-0.15 \pm 0.026(-5.7)$} & \scalebox{0.5}{$-0.0083 \pm 0.026(-0.32)$} & \scalebox{0.5}{$0.03 \pm 0.026(1.2)$} & \scalebox{0.5}{$0.044 \pm 0.027(1.6)$} & \scalebox{0.5}{$-0.07 \pm 0.026(-2.7)$} & \scalebox{0.5}{$-0.022 \pm 0.026(-0.84)$} & \scalebox{0.5}{$-0.045 \pm 0.026(-1.7)$} \\ \hline +10 & \scalebox{0.5}{$-0.15 \pm 0.025(-5.8)$} & \scalebox{0.5}{$-0.032 \pm 0.025(-1.3)$} & \scalebox{0.5}{$0.059 \pm 0.026(2.2)$} & \scalebox{0.5}{$-0.072 \pm 0.028(-2.6)$} & \scalebox{0.5}{$-0.029 \pm 0.027(-1.1)$} & \scalebox{0.5}{$0.064 \pm 0.027(2.4)$} & \scalebox{0.5}{$0.014 \pm 0.027(0.51)$} \\ \hline +11 & \scalebox{0.5}{$-0.067 \pm 0.026(-2.6)$} & \scalebox{0.5}{$0.017 \pm 0.026(0.65)$} & \scalebox{0.5}{$-0.015 \pm 0.026(-0.56)$} & \scalebox{0.5}{$-0.051 \pm 0.026(-1.9)$} & \scalebox{0.5}{$-0.0086 \pm 0.026(-0.33)$} & \scalebox{0.5}{$-0.018 \pm 0.028(-0.67)$} & \scalebox{0.5}{$0.017 \pm 0.027(0.62)$} \\ \hline + + + + + + +\hline + + + \end{tabular} + +\end{center} + + +\end{tiny} +\end{frame} + + +\begin{frame}\frametitle{Corr3- MM} + + +\begin{tiny} + +\begin{center} + \begin{tabular}{ l l l l l l l l l } + \hline + \multicolumn{8}{c}{Mean of the pull} \\ \hline +$q^2$ & $S_3$ & $S_4$ & $S_5$ & $S_{6s}$ & $S_{6c}$ & $S_7$ & $S_8$ \\ \hline \hline + +0 & \scalebox{0.5}{$-0.021 \pm 0.026(-0.81)$} & \scalebox{0.5}{$0.041 \pm 0.026(1.5)$} & \scalebox{0.5}{$0.009 \pm 0.027(0.34)$} & \scalebox{0.5}{$0.043 \pm 0.026(1.6)$} & \scalebox{0.5}{$0.13 \pm 0.028(4.8)$} & \scalebox{0.5}{$-0.0072 \pm 0.028(-0.26)$} & \scalebox{0.5}{$0.044 \pm 0.026(1.7)$} \\ \hline +1 & \scalebox{0.5}{$-0.014 \pm 0.028(-0.51)$} & \scalebox{0.5}{$0.03 \pm 0.027(1.1)$} & \scalebox{0.5}{$0.022 \pm 0.027(0.82)$} & \scalebox{0.5}{$0.015 \pm 0.028(0.53)$} & \scalebox{0.5}{$0.078 \pm 0.028(2.8)$} & \scalebox{0.5}{$-0.037 \pm 0.025(-1.4)$} & \scalebox{0.5}{$0.057 \pm 0.027(2.1)$} \\ \hline +2 & \scalebox{0.5}{$-0.037 \pm 0.027(-1.4)$} & \scalebox{0.5}{$-0.0013 \pm 0.027(-0.048)$} & \scalebox{0.5}{$-0.015 \pm 0.027(-0.54)$} & \scalebox{0.5}{$-0.052 \pm 0.026(-2)$} & \scalebox{0.5}{$0.1 \pm 0.027(3.8)$} & \scalebox{0.5}{$-0.051 \pm 0.026(-1.9)$} & \scalebox{0.5}{$0.022 \pm 0.028(0.78)$} \\ \hline +3 & \scalebox{0.5}{$-0.015 \pm 0.027(-0.55)$} & \scalebox{0.5}{$0.036 \pm 0.028(1.3)$} & \scalebox{0.5}{$-0.039 \pm 0.027(-1.4)$} & \scalebox{0.5}{$-0.072 \pm 0.027(-2.7)$} & \scalebox{0.5}{$0.17 \pm 0.027(6.2)$} & \scalebox{0.5}{$-0.0044 \pm 0.028(-0.15)$} & \scalebox{0.5}{$-0.024 \pm 0.027(-0.9)$} \\ \hline +4 & \scalebox{0.5}{$-0.00047 \pm 0.029(-0.017)$} & \scalebox{0.5}{$-0.012 \pm 0.027(-0.43)$} & \scalebox{0.5}{$0.0099 \pm 0.028(0.35)$} & \scalebox{0.5}{$-0.002 \pm 0.026(-0.076)$} & \scalebox{0.5}{$0.17 \pm 0.028(6.2)$} & \scalebox{0.5}{$-0.062 \pm 0.027(-2.3)$} & \scalebox{0.5}{$0.0086 \pm 0.027(0.32)$} \\ \hline + +5 & \scalebox{0.5}{$0.046 \pm 0.027(1.7)$} & \scalebox{0.5}{$-0.02 \pm 0.026(-0.76)$} & \scalebox{0.5}{$-0.04 \pm 0.027(-1.5)$} & \scalebox{0.5}{$-0.012 \pm 0.027(-0.44)$} & \scalebox{0.5}{$0.13 \pm 0.027(4.8)$} & \scalebox{0.5}{$-0.04 \pm 0.027(-1.5)$} & \scalebox{0.5}{$-0.0056 \pm 0.027(-0.21)$} \\ \hline +6 & \scalebox{0.5}{$-0.013 \pm 0.026(-0.52)$} & \scalebox{0.5}{$0.041 \pm 0.027(1.5)$} & \scalebox{0.5}{$-0.033 \pm 0.028(-1.2)$} & \scalebox{0.5}{$-0.0019 \pm 0.027(-0.068)$} & \scalebox{0.5}{$0.15 \pm 0.027(5.4)$} & \scalebox{0.5}{$-0.034 \pm 0.027(-1.3)$} & \scalebox{0.5}{$-0.021 \pm 0.028(-0.75)$} \\ \hline +%7 & \scalebox{0.5}{$0.25 \pm 0.027(9.1)$} & \scalebox{0.5}{$-0.27 \pm 0.027(-10)$} & \scalebox{0.5}{$-0.41 \pm 0.027(-16)$} & \scalebox{0.5}{$2.1 \pm 0.029(73)$} & \scalebox{0.5}{$0.65 \pm 0.027(24)$} & \scalebox{0.5}{$-0.19 \pm 0.028(-7)$} & \scalebox{0.5}{$-0.053 \pm 0.028(-1.9)$} \\ \hline +8 & \scalebox{0.5}{$0.039 \pm 0.026(1.5)$} & \scalebox{0.5}{$0.01 \pm 0.028(0.36)$} & \scalebox{0.5}{$-0.027 \pm 0.028(-0.96)$} & \scalebox{0.5}{$-0.024 \pm 0.026(-0.9)$} & \scalebox{0.5}{$0.12 \pm 0.027(4.3)$} & \scalebox{0.5}{$-0.092 \pm 0.026(-3.5)$} & \scalebox{0.5}{$-0.036 \pm 0.027(-1.3)$} \\ \hline +9 & \scalebox{0.5}{$-0.01 \pm 0.027(-0.38)$} & \scalebox{0.5}{$0.0024 \pm 0.027(0.09)$} & \scalebox{0.5}{$-0.018 \pm 0.026(-0.68)$} & \scalebox{0.5}{$0.022 \pm 0.028(0.79)$} & \scalebox{0.5}{$0.068 \pm 0.027(2.6)$} & \scalebox{0.5}{$-0.069 \pm 0.026(-2.6)$} & \scalebox{0.5}{$-0.078 \pm 0.026(-3)$} \\ \hline +10 & \scalebox{0.5}{$-0.017 \pm 0.027(-0.62)$} & \scalebox{0.5}{$-0.015 \pm 0.026(-0.57)$} & \scalebox{0.5}{$0.012 \pm 0.027(0.46)$} & \scalebox{0.5}{$-0.074 \pm 0.028(-2.6)$} & \scalebox{0.5}{$0.1 \pm 0.027(3.8)$} & \scalebox{0.5}{$-0.003 \pm 0.027(-0.11)$} & \scalebox{0.5}{$-0.043 \pm 0.029(-1.5)$} \\ \hline +11 & \scalebox{0.5}{$0.032 \pm 0.026(1.2)$} & \scalebox{0.5}{$0.024 \pm 0.026(0.91)$} & \scalebox{0.5}{$-0.04 \pm 0.026(-1.5)$} & \scalebox{0.5}{$-0.066 \pm 0.027(-2.5)$} & \scalebox{0.5}{$0.098 \pm 0.027(3.7)$} & \scalebox{0.5}{$-0.043 \pm 0.028(-1.6)$} & \scalebox{0.5}{$-0.0018 \pm 0.028(-0.064)$} \\ \hline + + + +\hline + + + \end{tabular} + +\end{center} + + +\end{tiny} +\end{frame} + +\begin{frame}\frametitle{Corr4- MM} + + +\begin{tiny} + +\begin{center} + \begin{tabular}{ l l l l l l l l l } + \hline + \multicolumn{8}{c}{Mean of the pull} \\ \hline +$q^2$ & $S_3$ & $S_4$ & $S_5$ & $S_{6s}$ & $S_{6c}$ & $S_7$ & $S_8$ \\ \hline \hline + + +0 & \scalebox{0.5}{$-0.019 \pm 0.026(-0.71)$} & \scalebox{0.5}{$0.048 \pm 0.027(1.8)$} & \scalebox{0.5}{$0.018 \pm 0.027(0.67)$} & \scalebox{0.5}{$0.059 \pm 0.027(2.2)$} & \scalebox{0.5}{$-0.015 \pm 0.028(-0.55)$} & \scalebox{0.5}{$0.061 \pm 0.027(2.2)$} & \scalebox{0.5}{$0.012 \pm 0.027(0.44)$} \\ \hline +1 & \scalebox{0.5}{$-0.014 \pm 0.028(-0.51)$} & \scalebox{0.5}{$0.043 \pm 0.027(1.6)$} & \scalebox{0.5}{$0.013 \pm 0.027(0.49)$} & \scalebox{0.5}{$0.024 \pm 0.028(0.86)$} & \scalebox{0.5}{$-0.038 \pm 0.028(-1.4)$} & \scalebox{0.5}{$0.024 \pm 0.026(0.94)$} & \scalebox{0.5}{$0.037 \pm 0.027(1.3)$} \\ \hline +2 & \scalebox{0.5}{$-0.03 \pm 0.027(-1.1)$} & \scalebox{0.5}{$-0.0021 \pm 0.027(-0.076)$} & \scalebox{0.5}{$-0.01 \pm 0.027(-0.39)$} & \scalebox{0.5}{$-0.017 \pm 0.027(-0.61)$} & \scalebox{0.5}{$-0.016 \pm 0.027(-0.58)$} & \scalebox{0.5}{$0.013 \pm 0.027(0.49)$} & \scalebox{0.5}{$0.027 \pm 0.028(0.98)$} \\ \hline +3 & \scalebox{0.5}{$-0.007 \pm 0.027(-0.26)$} & \scalebox{0.5}{$0.03 \pm 0.028(1.1)$} & \scalebox{0.5}{$-0.036 \pm 0.027(-1.3)$} & \scalebox{0.5}{$-0.074 \pm 0.027(-2.8)$} & \scalebox{0.5}{$0.041 \pm 0.027(1.5)$} & \scalebox{0.5}{$0.08 \pm 0.028(2.9)$} & \scalebox{0.5}{$-0.0083 \pm 0.027(-0.31)$} \\ \hline +4 & \scalebox{0.5}{$0.00089 \pm 0.029(0.031)$} & \scalebox{0.5}{$-0.021 \pm 0.027(-0.77)$} & \scalebox{0.5}{$0.0032 \pm 0.028(0.11)$} & \scalebox{0.5}{$0.0031 \pm 0.026(0.12)$} & \scalebox{0.5}{$0.012 \pm 0.027(0.44)$} & \scalebox{0.5}{$0.019 \pm 0.026(0.71)$} & \scalebox{0.5}{$0.034 \pm 0.027(1.3)$} \\ \hline +5 & \scalebox{0.5}{$0.044 \pm 0.028(1.6)$} & \scalebox{0.5}{$-0.022 \pm 0.026(-0.82)$} & \scalebox{0.5}{$-0.041 \pm 0.027(-1.5)$} & \scalebox{0.5}{$-0.014 \pm 0.027(-0.53)$} & \scalebox{0.5}{$-0.029 \pm 0.027(-1.1)$} & \scalebox{0.5}{$0.041 \pm 0.027(1.5)$} & \scalebox{0.5}{$0.042 \pm 0.028(1.5)$} \\ \hline +6 & \scalebox{0.5}{$-0.011 \pm 0.026(-0.42)$} & \scalebox{0.5}{$0.041 \pm 0.027(1.5)$} & \scalebox{0.5}{$-0.045 \pm 0.028(-1.6)$} & \scalebox{0.5}{$0.011 \pm 0.027(0.41)$} & \scalebox{0.5}{$-0.0089 \pm 0.027(-0.33)$} & \scalebox{0.5}{$0.067 \pm 0.027(2.5)$} & \scalebox{0.5}{$0.036 \pm 0.027(1.3)$} \\ \hline +%7 & \scalebox{0.5}{$0.25 \pm 0.027(9.1)$} & \scalebox{0.5}{$-0.26 \pm 0.027(-9.9)$} & \scalebox{0.5}{$-0.42 \pm 0.027(-16)$} & \scalebox{0.5}{$2.1 \pm 0.029(73)$} & \scalebox{0.5}{$0.47 \pm 0.027(18)$} & \scalebox{0.5}{$-0.077 \pm 0.028(-2.8)$} & \scalebox{0.5}{$0.029 \pm 0.028(1)$} \\ \hline +8 & \scalebox{0.5}{$0.05 \pm 0.026(1.9)$} & \scalebox{0.5}{$0.0021 \pm 0.028(0.074)$} & \scalebox{0.5}{$-0.025 \pm 0.028(-0.91)$} & \scalebox{0.5}{$-0.023 \pm 0.026(-0.87)$} & \scalebox{0.5}{$-0.024 \pm 0.028(-0.85)$} & \scalebox{0.5}{$0.022 \pm 0.026(0.82)$} & \scalebox{0.5}{$0.026 \pm 0.026(0.98)$} \\ \hline +9 & \scalebox{0.5}{$-0.0064 \pm 0.027(-0.23)$} & \scalebox{0.5}{$0.012 \pm 0.027(0.44)$} & \scalebox{0.5}{$-0.0075 \pm 0.026(-0.28)$} & \scalebox{0.5}{$0.029 \pm 0.027(1.1)$} & \scalebox{0.5}{$-0.087 \pm 0.027(-3.2)$} & \scalebox{0.5}{$0.036 \pm 0.027(1.3)$} & \scalebox{0.5}{$-0.02 \pm 0.026(-0.76)$} \\ \hline +10 & \scalebox{0.5}{$-0.019 \pm 0.027(-0.71)$} & \scalebox{0.5}{$-0.0051 \pm 0.025(-0.2)$} & \scalebox{0.5}{$0.0081 \pm 0.026(0.31)$} & \scalebox{0.5}{$-0.077 \pm 0.028(-2.7)$} & \scalebox{0.5}{$-0.03 \pm 0.027(-1.1)$} & \scalebox{0.5}{$0.11 \pm 0.027(4.1)$} & \scalebox{0.5}{$0.013 \pm 0.028(0.46)$} \\ \hline +11 & \scalebox{0.5}{$0.027 \pm 0.026(1)$} & \scalebox{0.5}{$0.032 \pm 0.027(1.2)$} & \scalebox{0.5}{$-0.038 \pm 0.027(-1.4)$} & \scalebox{0.5}{$-0.048 \pm 0.026(-1.8)$} & \scalebox{0.5}{$-0.021 \pm 0.027(-0.77)$} & \scalebox{0.5}{$0.019 \pm 0.028(0.69)$} & \scalebox{0.5}{$0.035 \pm 0.027(1.3)$} \\ \hline + + + +\hline + + \end{tabular} + +\end{center} + +\end{tiny} +\end{frame} + + + + +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% +\section{Reverse Engineering Unfolding} + +\begin{frame}\frametitle{Reverse Engineering- Corr1} +\begin{itemize} +\item Let's try to understand if we can understand why this happens: +\item Let's calculate what should I expect with the unfolding +\item This is up to normalization! +\begin{itemize} +\item $M_5=0.4 S_5 \to M_5=0.00512 S_3 + 0.4 S_5 - 0.002 S_7$ +\item $M_8=0.32 S_8 \to M_8=0.0016 S_4 + 0.00512 S_7 + 0.32 S_8$ +\item $M_7=0.4 S_7 \to M_7=0.002 S_5 + 0.4 S_7 + 0.00512 S_8$ +\item $M_3=0.32 S_3 \to M_3=0.32 S_3 - 0.0008 S_9$ +\end{itemize} +\item The way you can look at this is that i just shown you how our unfolding matrix works like. +\end{itemize} + + + +\end{frame} + +\begin{frame}\frametitle{Reverse Engineering- Corr2} +\begin{itemize} +\item Let's try to understand if we can understand why this happens: +\item Let's calculate what should I expect with the unfolding +\item This is up to normalization! +\begin{itemize} +\item $M_5=0.4 S_5 \to M_5= 0.4 S_5$ +\item $M_8=0.32 S_8 \to M_8=0.32 S_5$ +\item $M_7=0.4 S_7 \to M_7=0.4 S_7$ +\item $M_3=0.32 S_3 \to M_3=-0.0036 + 0.0012 Fl + 0.32 S_3$ +\end{itemize} +\item The way you can look at this is that i just shown you how our unfolding matrix works like. +\end{itemize} + + + +\end{frame} + + + + +\begin{frame}\frametitle{Summary} +\begin{itemize} +\item Developed a systematic way how to get Unfolding matrix +\item Moments are resistant against variety of unfolding discrepancies. +\item This might lead to reduced systematics in the future. +\end{itemize} + + + + +\end{frame} + + + +\end{document} diff --git a/Kstmumu/Face2Face_meeting/MMatrix/MMatrix.toc b/Kstmumu/Face2Face_meeting/MMatrix/MMatrix.toc new file mode 100644 index 0000000..37544d5 --- /dev/null +++ b/Kstmumu/Face2Face_meeting/MMatrix/MMatrix.toc @@ -0,0 +1,4 @@ +\beamer@endinputifotherversion {3.10pt} +\select@language {english} +\beamer@sectionintoc 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0.0188(-1.56)$} & \scalebox{0.5}{$0.0247 \pm 0.0187(1.32)$} & \scalebox{0.5}{$0.016 \pm 0.0184(0.872)$} & \scalebox{0.5}{$-0.0125 \pm 0.0191(-0.657)$} & \scalebox{0.5}{$-0.00833 \pm 0.0186(-0.449)$} & \scalebox{0.5}{$-0.0221 \pm 0.0183(-1.21)$} & \scalebox{0.5}{$-0.0592 \pm 0.0185(-3.2)$} & \scalebox{0.5}{$0.0151 \pm 0.0181(0.836)$} \\ \hline +2 & \scalebox{0.5}{$0.0090 \pm 0.0181(0.501)$} & \scalebox{0.5}{$-0.0226 \pm 0.0186(-1.21)$} & \scalebox{0.5}{$-0.00623 \pm 0.018(-0.347)$} & \scalebox{0.5}{$-0.0235 \pm 0.018(-1.3)$} & \scalebox{0.5}{$-0.0201 \pm 0.0183(-1.1)$} & \scalebox{0.5}{$-0.00449 \pm 0.0185(-0.243)$} & \scalebox{0.5}{$-0.00996 \pm 0.0188(-0.529)$} & \scalebox{0.5}{$0.00609 \pm 0.0186(0.328)$} \\ \hline +3 & \scalebox{0.5}{$-0.046 \pm 0.0183(-2.56)$} & \scalebox{0.5}{$-0.00942 \pm 0.0183(-0.515)$} & \scalebox{0.5}{$-0.00109 \pm 0.0188(-0.0579)$} & \scalebox{0.5}{$0.0108 \pm 0.0188(0.577)$} & \scalebox{0.5}{$-0.0519 \pm 0.0184(-2.83)$} & \scalebox{0.5}{$0.0274 \pm 0.0177(1.55)$} & \scalebox{0.5}{$-0.00217 \pm 0.0186(-0.117)$} & \scalebox{0.5}{$-0.00915 \pm 0.0187(-0.49)$} \\ \hline +4 & \scalebox{0.5}{$-0.031 \pm 0.0183(-1.71)$} & \scalebox{0.5}{$0.0268 \pm 0.0181(1.48)$} & \scalebox{0.5}{$-0.00687 \pm 0.0182(-0.378)$} & \scalebox{0.5}{$-0.00106 \pm 0.0187(-0.0568)$} & \scalebox{0.5}{$0.00908 \pm 0.0189(0.481)$} & \scalebox{0.5}{$0.0156 \pm 0.0181(0.861)$} & \scalebox{0.5}{$-0.0141 \pm 0.0186(-0.759)$} & \scalebox{0.5}{$0.00498 \pm 0.0178(0.279)$} \\ \hline +5 & \scalebox{0.5}{$-0.034 \pm 0.0178(-1.96)$} & \scalebox{0.5}{$0.0231 \pm 0.0189(1.22)$} & \scalebox{0.5}{$-0.0169 \pm 0.0183(-0.92)$} & \scalebox{0.5}{$-0.0138 \pm 0.0183(-0.75)$} & \scalebox{0.5}{$9.56e-05 \pm 0.0184(0.00521)$} & \scalebox{0.5}{$0.0158 \pm 0.0186(0.848)$} & \scalebox{0.5}{$0.00727 \pm 0.0191(0.381)$} & \scalebox{0.5}{$0.029 \pm 0.0185(1.57)$} \\ \hline +6 & \scalebox{0.5}{$-0.031 \pm 0.0186(-1.69)$} & \scalebox{0.5}{$0.0184 \pm 0.0183(1)$} & \scalebox{0.5}{$-0.000709 \pm 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+\title[Angular distribution of background]{Angular distribution of background} +\author{Marcin Chrz\k{a}szcz$^{1,2}$, Nicola Serra$^{1}$} +\institute{$^1$~University of Zurich,\\ $^2$~Institute of Nuclear Physics, Krakow} +\date{\today} + +\begin{document} +% --------------------------- SLIDE -------------------------------------------- +\frame[plain]{\titlepage} +\author{Marcin Chrz\k{a}szcz} +% ------------------------------------------------------------------------------ +% --------------------------- SLIDE -------------------------------------------- + +\begin{frame}\frametitle{Quo vadis $\PBzero \to \PKstar \mu \mu$?} + +\center \includegraphics[width=0.8\paperwidth]{diagram.png}\\ + +\end{frame} +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% +\begin{frame}\frametitle{Quo vadis $\PBzero \to \PKstar \mu \mu$?} + +\center \includegraphics[width=0.8\paperwidth]{sys.png}\\ + +\end{frame} + + +\section{Introduction} +\begin{frame}\frametitle{Assumptions} +\begin{columns} +\column{3in} +\begin{itemize} +\item Each method assumes that background angular distribution is the same in the red and green region. +\item This might not be necessary the true. +\item Let's test this using method of moments. +\end{itemize} +\column{2.5in} + +\includegraphics[width=0.8\textwidth]{mass2.png}\\ + +\end{columns} + + +\end{frame} + +\begin{frame}\frametitle{Studied background region} +{~} + +\begin{columns} + +\column{2.5in} +\begin{itemize} +\item Divided mass regions in different $q^2$ bins. +\item To each calculate the $S_x$ components and see if there is a clear trend. +\item Try fitting and seeing the impact in the signal window. +\end{itemize} + + +\column{2.5in} +\includegraphics[scale=0.22]{plots2/PLOT.png} +\end{columns} + + +\end{frame} + +\begin{frame}\frametitle{Studied background region} +{~} + +\begin{columns} +\column{1.66in} +\includegraphics[width=0.95\textwidth]{plots_folder/Q0_1_0_98_Fl1.png}\\ +\column{1.66in} +\includegraphics[width=0.95\textwidth]{plots_folder/Q0_1_0_98_Fl2.png}\\ +\column{1.66in} +\includegraphics[width=0.95\textwidth]{plots_folder/Q0_1_0_98_Fl3.png}\\ +\end{columns} +\begin{columns} + +\column{1.66in} +\includegraphics[width=0.95\textwidth]{plots_folder/Q0_1_0_98_Fl4.png}\\ +\column{1.66in} +\includegraphics[width=0.95\textwidth]{plots_folder/Q0_1_0_98_S3.png}\\ +\column{1.66in} +\includegraphics[width=0.95\textwidth]{plots_folder/Q0_1_0_98_S4.png}\\ + +\end{columns} + +\end{frame} + +\begin{frame}\frametitle{Studied background region} +{~} + +\begin{columns} + +\column{1.66in} +\includegraphics[width=0.95\textwidth]{plots_folder/Q0_1_0_98_S5.png}\\ +\column{1.66in} +\includegraphics[width=0.95\textwidth]{plots_folder/Q0_1_0_98_S6s.png}\\ +\column{1.66in} +\includegraphics[width=0.95\textwidth]{plots_folder/Q0_1_0_98_S7.png}\\ + +\end{columns} +\begin{columns} + +\column{1.66in} +\includegraphics[width=0.95\textwidth]{plots_folder/Q0_1_0_98_S8.png}\\ +\column{1.66in} +\includegraphics[width=0.95\textwidth]{plots_folder/Q0_1_0_98_S9.png}\\ +\column{1.66in} +{~} + +\end{columns} + +\end{frame} +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% +\begin{frame}\frametitle{Studied background region} +\begin{columns} +\column{1.66in} +\includegraphics[width=0.95\textwidth]{plots_folder/Q_1_1_2_Fl1.png}\\ +\column{1.66in} +\includegraphics[width=0.95\textwidth]{plots_folder/Q_1_1_2_Fl2.png}\\ +\column{1.66in} +\includegraphics[width=0.95\textwidth]{plots_folder/Q_1_1_2_Fl3.png}\\ +\end{columns} +\begin{columns} + +\column{1.66in} +\includegraphics[width=0.95\textwidth]{plots_folder/Q_1_1_2_Fl4.png}\\ +\column{1.66in} +\includegraphics[width=0.95\textwidth]{plots_folder/Q_1_1_2_S3.png}\\ +\column{1.66in} +\includegraphics[width=0.95\textwidth]{plots_folder/Q_1_1_2_S4.png}\\ + +\end{columns} + +\end{frame} + +\begin{frame}\frametitle{Studied background region} +{~} + +\begin{columns} + +\column{1.66in} +\includegraphics[width=0.95\textwidth]{plots_folder/Q_1_1_2_S5.png}\\ +\column{1.66in} +\includegraphics[width=0.95\textwidth]{plots_folder/Q_1_1_2_S6s.png}\\ +\column{1.66in} +\includegraphics[width=0.95\textwidth]{plots_folder/Q_1_1_2_S7.png}\\ + +\end{columns} +\begin{columns} + +\column{1.66in} +\includegraphics[width=0.95\textwidth]{plots_folder/Q_1_1_2_S8.png}\\ +\column{1.66in} +\includegraphics[width=0.95\textwidth]{plots_folder/Q_1_1_2_S9.png}\\ +\column{1.66in} +{~} + +\end{columns} + +\end{frame} +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% +\begin{frame}\frametitle{Studied background region} +{~} + +\begin{columns} +\column{1.66in} +\includegraphics[width=0.95\textwidth]{plots_folder/Q_2_4_Fl1.png}\\ +\column{1.66in} +\includegraphics[width=0.95\textwidth]{plots_folder/Q_2_4_Fl2.png}\\ +\column{1.66in} +\includegraphics[width=0.95\textwidth]{plots_folder/Q_2_4_Fl3.png}\\ +\end{columns} +\begin{columns} + +\column{1.66in} +\includegraphics[width=0.95\textwidth]{plots_folder/Q_2_4_Fl4.png}\\ +\column{1.66in} +\includegraphics[width=0.95\textwidth]{plots_folder/Q_2_4_S3.png}\\ +\column{1.66in} +\includegraphics[width=0.95\textwidth]{plots_folder/Q_2_4_S4.png}\\ + +\end{columns} + +\end{frame} + +\begin{frame}\frametitle{Studied background region} +{~} + +\begin{columns} + +\column{1.66in} +\includegraphics[width=0.95\textwidth]{plots_folder/Q_2_4_S5.png}\\ +\column{1.66in} +\includegraphics[width=0.95\textwidth]{plots_folder/Q_2_4_S6s.png}\\ +\column{1.66in} +\includegraphics[width=0.95\textwidth]{plots_folder/Q_2_4_S7.png}\\ + +\end{columns} +\begin{columns} + +\column{1.66in} +\includegraphics[width=0.95\textwidth]{plots_folder/Q_2_4_S8.png}\\ +\column{1.66in} +\includegraphics[width=0.95\textwidth]{plots_folder/Q_2_4_S9.png}\\ +\column{1.66in} +{~} + +\end{columns} + +\end{frame} +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% + +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% +\begin{frame}\frametitle{Studied background region} +{~} + +\begin{columns} +\column{1.66in} +\includegraphics[width=0.95\textwidth]{plots_folder/Q_4_6_Fl1.png}\\ +\column{1.66in} +\includegraphics[width=0.95\textwidth]{plots_folder/Q_4_6_Fl2.png}\\ +\column{1.66in} +\includegraphics[width=0.95\textwidth]{plots_folder/Q_4_6_Fl3.png}\\ +\end{columns} +\begin{columns} + +\column{1.66in} +\includegraphics[width=0.95\textwidth]{plots_folder/Q_4_6_Fl4.png}\\ +\column{1.66in} +\includegraphics[width=0.95\textwidth]{plots_folder/Q_4_6_S3.png}\\ +\column{1.66in} +\includegraphics[width=0.95\textwidth]{plots_folder/Q_4_6_S4.png}\\ + +\end{columns} + +\end{frame} + +\begin{frame}\frametitle{Studied background region} +{~} + +\begin{columns} + +\column{1.66in} +\includegraphics[width=0.95\textwidth]{plots_folder/Q_4_6_S5.png}\\ +\column{1.66in} +\includegraphics[width=0.95\textwidth]{plots_folder/Q_4_6_S6s.png}\\ +\column{1.66in} +\includegraphics[width=0.95\textwidth]{plots_folder/Q_4_6_S7.png}\\ + +\end{columns} +\begin{columns} + +\column{1.66in} +\includegraphics[width=0.95\textwidth]{plots_folder/Q_4_6_S8.png}\\ +\column{1.66in} +\includegraphics[width=0.95\textwidth]{plots_folder/Q_4_6_S9.png}\\ +\column{1.66in} +{~} + +\end{columns} + +\end{frame} +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% + +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% +\begin{frame}\frametitle{Studied background region} +{~} + +\begin{columns} +\column{1.66in} +\includegraphics[width=0.95\textwidth]{plots_folder/Q_6_8_Fl1.png}\\ +\column{1.66in} +\includegraphics[width=0.95\textwidth]{plots_folder/Q_6_8_Fl2.png}\\ +\column{1.66in} +\includegraphics[width=0.95\textwidth]{plots_folder/Q_6_8_Fl3.png}\\ +\end{columns} +\begin{columns} + +\column{1.66in} +\includegraphics[width=0.95\textwidth]{plots_folder/Q_6_8_Fl4.png}\\ +\column{1.66in} +\includegraphics[width=0.95\textwidth]{plots_folder/Q_6_8_S3.png}\\ +\column{1.66in} +\includegraphics[width=0.95\textwidth]{plots_folder/Q_6_8_S4.png}\\ + +\end{columns} + +\end{frame} + +\begin{frame}\frametitle{Studied background region} +{~} + +\begin{columns} + +\column{1.66in} +\includegraphics[width=0.95\textwidth]{plots_folder/Q_6_8_S5.png}\\ +\column{1.66in} +\includegraphics[width=0.95\textwidth]{plots_folder/Q_6_8_S6s.png}\\ +\column{1.66in} +\includegraphics[width=0.95\textwidth]{plots_folder/Q_6_8_S7.png}\\ + +\end{columns} +\begin{columns} + +\column{1.66in} +\includegraphics[width=0.95\textwidth]{plots_folder/Q_6_8_S8.png}\\ +\column{1.66in} +\includegraphics[width=0.95\textwidth]{plots_folder/Q_6_8_S9.png}\\ +\column{1.66in} +{~} + +\end{columns} + +\end{frame} +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% +\begin{frame}\frametitle{Studied background region} +{~} + +\begin{columns} +\column{1.66in} +\includegraphics[width=0.95\textwidth]{plots_folder/Q_11_11_75_Fl1.png}\\ +\column{1.66in} +\includegraphics[width=0.95\textwidth]{plots_folder/Q_11_11_75_Fl2.png}\\ +\column{1.66in} +\includegraphics[width=0.95\textwidth]{plots_folder/Q_11_11_75_Fl3.png}\\ +\end{columns} +\begin{columns} + +\column{1.66in} +\includegraphics[width=0.95\textwidth]{plots_folder/Q_11_11_75_Fl4.png}\\ +\column{1.66in} +\includegraphics[width=0.95\textwidth]{plots_folder/Q_11_11_75_S3.png}\\ +\column{1.66in} +\includegraphics[width=0.95\textwidth]{plots_folder/Q_11_11_75_S4.png}\\ + +\end{columns} + +\end{frame} + +\begin{frame}\frametitle{Studied background region} +{~} + +\begin{columns} + +\column{1.66in} +\includegraphics[width=0.95\textwidth]{plots_folder/Q_11_11_75_S5.png}\\ +\column{1.66in} +\includegraphics[width=0.95\textwidth]{plots_folder/Q_11_11_75_S6s.png}\\ +\column{1.66in} +\includegraphics[width=0.95\textwidth]{plots_folder/Q_11_11_75_S7.png}\\ + +\end{columns} +\begin{columns} + +\column{1.66in} +\includegraphics[width=0.95\textwidth]{plots_folder/Q_11_11_75_S8.png}\\ +\column{1.66in} +\includegraphics[width=0.95\textwidth]{plots_folder/Q_11_11_75_S9.png}\\ +\column{1.66in} +{~} + +\end{columns} + +\end{frame} +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% + +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% +\begin{frame}\frametitle{Studied background region} +{~} + +\begin{columns} +\column{1.66in} +\includegraphics[width=0.95\textwidth]{plots_folder/Q_11_75_12_5_Fl1.png}\\ +\column{1.66in} +\includegraphics[width=0.95\textwidth]{plots_folder/Q_11_75_12_5_Fl2.png}\\ +\column{1.66in} +\includegraphics[width=0.95\textwidth]{plots_folder/Q_11_75_12_5_Fl3.png}\\ +\end{columns} +\begin{columns} + +\column{1.66in} +\includegraphics[width=0.95\textwidth]{plots_folder/Q_11_75_12_5_Fl4.png}\\ +\column{1.66in} +\includegraphics[width=0.95\textwidth]{plots_folder/Q_11_75_12_5_S3.png}\\ +\column{1.66in} +\includegraphics[width=0.95\textwidth]{plots_folder/Q_11_75_12_5_S4.png}\\ + +\end{columns} + +\end{frame} + +\begin{frame}\frametitle{Studied background region} +{~} + +\begin{columns} + +\column{1.66in} +\includegraphics[width=0.95\textwidth]{plots_folder/Q_11_75_12_5_S5.png}\\ +\column{1.66in} +\includegraphics[width=0.95\textwidth]{plots_folder/Q_11_75_12_5_S6s.png}\\ +\column{1.66in} +\includegraphics[width=0.95\textwidth]{plots_folder/Q_11_75_12_5_S7.png}\\ + +\end{columns} +\begin{columns} + +\column{1.66in} +\includegraphics[width=0.95\textwidth]{plots_folder/Q_11_75_12_5_S8.png}\\ +\column{1.66in} +\includegraphics[width=0.95\textwidth]{plots_folder/Q_11_75_12_5_S9.png}\\ +\column{1.66in} +{~} + +\end{columns} + +\end{frame} +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% +\begin{frame}\frametitle{Studied background region} +{~} + +\begin{columns} +\column{1.66in} +\includegraphics[width=0.95\textwidth]{plots_folder/Q_15_17_Fl1.png}\\ +\column{1.66in} +\includegraphics[width=0.95\textwidth]{plots_folder/Q_15_17_Fl2.png}\\ +\column{1.66in} +\includegraphics[width=0.95\textwidth]{plots_folder/Q_15_17_Fl3.png}\\ +\end{columns} +\begin{columns} + +\column{1.66in} +\includegraphics[width=0.95\textwidth]{plots_folder/Q_15_17_Fl4.png}\\ +\column{1.66in} +\includegraphics[width=0.95\textwidth]{plots_folder/Q_15_17_S3.png}\\ +\column{1.66in} +\includegraphics[width=0.95\textwidth]{plots_folder/Q_15_17_S4.png}\\ + +\end{columns} + +\end{frame} + +\begin{frame}\frametitle{Studied background region} +{~} + +\begin{columns} + +\column{1.66in} +\includegraphics[width=0.95\textwidth]{plots_folder/Q_15_17_S5.png}\\ +\column{1.66in} +\includegraphics[width=0.95\textwidth]{plots_folder/Q_15_17_S6s.png}\\ +\column{1.66in} +\includegraphics[width=0.95\textwidth]{plots_folder/Q_15_17_S7.png}\\ + +\end{columns} +\begin{columns} + +\column{1.66in} +\includegraphics[width=0.95\textwidth]{plots_folder/Q_15_17_S8.png}\\ +\column{1.66in} +\includegraphics[width=0.95\textwidth]{plots_folder/Q_15_17_S9.png}\\ +\column{1.66in} +{~} + +\end{columns} + +\end{frame} + +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% +\begin{frame}\frametitle{Studied background region} +{~} + +\begin{columns} +\column{1.66in} +\includegraphics[width=0.95\textwidth]{plots_folder/Q_17_19_Fl1.png}\\ +\column{1.66in} +\includegraphics[width=0.95\textwidth]{plots_folder/Q_17_19_Fl2.png}\\ +\column{1.66in} +\includegraphics[width=0.95\textwidth]{plots_folder/Q_17_19_Fl3.png}\\ +\end{columns} +\begin{columns} + +\column{1.66in} +\includegraphics[width=0.95\textwidth]{plots_folder/Q_17_19_Fl4.png}\\ +\column{1.66in} +\includegraphics[width=0.95\textwidth]{plots_folder/Q_17_19_S3.png}\\ +\column{1.66in} +\includegraphics[width=0.95\textwidth]{plots_folder/Q_17_19_S4.png}\\ + +\end{columns} + +\end{frame} + +\begin{frame}\frametitle{Conclusion} +{~} +\begin{itemize} +\item There is small dependence on background and mass. +\item For MM easy to assign systematic to it. +\item Fits need some more thinking. +\end{itemize} + + +\end{frame} + + + + + + +\end{document} diff --git a/Kstmumu/Face2Face_meeting/Systematics/Systematics.tex~ b/Kstmumu/Face2Face_meeting/Systematics/Systematics.tex~ new file mode 100644 index 0000000..e101957 --- /dev/null +++ b/Kstmumu/Face2Face_meeting/Systematics/Systematics.tex~ @@ -0,0 +1,141 @@ +\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[Angular distribution of background]{Angular distribution of background} +\author{Marcin Chrz\k{a}szcz$^{1,2}$, Nicola Serra$^{1}$} +\institute{$^1$~University of Zurich,\\ $^2$~Institute of Nuclear Physics, Krakow} +\date{\today} + +\begin{document} +% --------------------------- SLIDE -------------------------------------------- +\frame[plain]{\titlepage} +\author{Marcin Chrz\k{a}szcz} +% ------------------------------------------------------------------------------ +% --------------------------- SLIDE -------------------------------------------- + +\begin{frame}\frametitle{Quo vadis $\PBzero \to \PKstar \mu \mu$?} + +\center \includegraphics[width=0.8\paperwidth]{diagram.png}\\ + +\end{frame} +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% +\begin{frame}\frametitle{Quo vadis $\PBzero \to \PKstar \mu \mu$?} + +\center \includegraphics[width=0.8\paperwidth]{sys.png}\\ + +\end{frame} + + +\section{Introduction} +\begin{frame}\frametitle{Assumptions} +\begin{columns} +\column{3in} +\begin{itemize} +\item Each method assumes that background angular distribution is the same in the red and green region. +\item This might not be necessary the true. +\item Let's test this using method of moments. +\end{itemize} +\column{2.5in} + +\includegraphics[width=0.8\textwidth]{mass2.png}\\ + +\end{columns} + + +\end{frame} + +\begin{frame}\frametitle{Studied background region} +{~} + +\begin{columns} + +\column{2.5in} +\begin{itemize} +\item Divided mass regions in different $q^2$ bins. +\item To each calculate the $S_x$ components and see if there is a clear trend. +\item Try fitting and seeing the impact in the signal window. +\end{itemize} + + +\column{2.5in} +\includegraphics[scale=0.22]{plots2/PLOT.png} +\end{columns} + + +\end{frame} + +\begin{frame}\frametitle{Studied background region} +{~} + +\begin{columns} + +\column{1.66in} +\includegraphics[width=0.95\textwidth]{plots_folder/Q0_1_0_98_Fl1.png}\\ +\column{1.66in} +\includegraphics[width=0.95\textwidth]{plots_folder/Q0_1_0_98_Fl2.png}\\ +\column{1.66in} +\includegraphics[width=0.95\textwidth]{plots_folder/Q0_1_0_98_Fl3.png}\\ + +\end{columns} +\begin{columns} + +\column{1.66in} +\includegraphics[width=0.95\textwidth]{plots_folder/Q0_1_0_98_Fl4.png}\\ +\column{1.66in} +\includegraphics[width=0.95\textwidth]{plots_folder/Q0_1_0_98_S3.png}\\ +\column{1.66in} +\includegraphics[width=0.95\textwidth]{plots_folder/Q0_1_0_98_S4.png}\\ + +\end{columns} + +\end{frame} + +\begin{frame}\frametitle{Studied background region} +{~} + +\begin{columns} + +\column{1.66in} +\includegraphics[width=0.95\textwidth]{plots_folder/Q0_1_0_98_S5.png}\\ +\column{1.66in} +\includegraphics[width=0.95\textwidth]{plots_folder/Q0_1_0_98_S6s.png}\\ +\column{1.66in} +\includegraphics[width=0.95\textwidth]{plots_folder/Q0_1_0_98_S7.png}\\ + +\end{columns} +\begin{columns} + +\column{1.66in} +\includegraphics[width=0.95\textwidth]{plots_folder/Q0_1_0_98_S8.png}\\ +\column{1.66in} +\includegraphics[width=0.95\textwidth]{plots_folder/Q0_1_0_98_S9.png}\\ +\column{1.66in} +{~} + +\end{columns} + +\end{frame} +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% + + + +\end{document} diff --git a/Kstmumu/Face2Face_meeting/Systematics/Systematics.toc b/Kstmumu/Face2Face_meeting/Systematics/Systematics.toc new file mode 100644 index 0000000..bc756c5 --- /dev/null +++ b/Kstmumu/Face2Face_meeting/Systematics/Systematics.toc @@ -0,0 +1,3 @@ +\beamer@endinputifotherversion {3.10pt} +\select@language {english} +\beamer@sectionintoc {1}{Introduction}{4}{0}{1} diff --git a/Kstmumu/Face2Face_meeting/Systematics/beamerthemeSybila.sty b/Kstmumu/Face2Face_meeting/Systematics/beamerthemeSybila.sty new file mode 100644 index 0000000..934906c --- /dev/null +++ b/Kstmumu/Face2Face_meeting/Systematics/beamerthemeSybila.sty @@ -0,0 +1,113 @@ +\mode + +%------------------------------------------------------------------------------- +% Themes +%------------------------------------------------------------------------------- + +\useoutertheme{split} +\useinnertheme{rounded} +\usefonttheme{structurebold} +%\useoutertheme{shadow} + 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0.0182(2.96)$} & \scalebox{0.5}{$-0.0063 \pm 0.0189(-0.334)$} & \scalebox{0.5}{$-0.0297 \pm 0.019(-1.57)$} & \scalebox{0.5}{$-0.00305 \pm 0.0183(-0.166)$} & \scalebox{0.5}{$-0.0503 \pm 0.0183(-2.75)$} & \scalebox{0.5}{$-0.0137 \pm 0.0181(-0.758)$} & \scalebox{0.5}{$0.0169 \pm 0.0187(0.902)$} \\ \hline + + \end{tabular} + } + \end{frame} +\end{document} \ No newline at end of file diff --git a/Kstmumu/Face2Face_meeting/Systematics/tables/tables.toc b/Kstmumu/Face2Face_meeting/Systematics/tables/tables.toc new file mode 100644 index 0000000..e06b51d --- /dev/null +++ b/Kstmumu/Face2Face_meeting/Systematics/tables/tables.toc @@ -0,0 +1 @@ +\beamer@endinputifotherversion {3.10pt} diff --git a/Kstmumu/Face2Face_meeting/Systematics/texput.log b/Kstmumu/Face2Face_meeting/Systematics/texput.log new file mode 100644 index 0000000..917e405 --- /dev/null +++ b/Kstmumu/Face2Face_meeting/Systematics/texput.log @@ -0,0 +1,20 @@ +This is pdfTeX, Version 3.1415926-1.40.10 (TeX Live 2009/Debian) 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Brno} +\date{\today} + +\begin{document} +% --------------------------- SLIDE -------------------------------------------- +\frame[plain]{\titlepage} +% ------------------------------------------------------------------------------ +% --------------------------- SLIDE -------------------------------------------- +\begin{frame} + \frametitle{Introduction} +\end{frame} +% ------------------------------------------------------------------------------ +\end{document} diff --git a/Kstmumu/Face2Face_meeting/Systematics/tmp/example/beamerthemeSybila.sty b/Kstmumu/Face2Face_meeting/Systematics/tmp/example/beamerthemeSybila.sty new file mode 100644 index 0000000..5639601 --- /dev/null +++ b/Kstmumu/Face2Face_meeting/Systematics/tmp/example/beamerthemeSybila.sty @@ -0,0 +1,104 @@ +\mode + +%------------------------------------------------------------------------------- +% Themes +%------------------------------------------------------------------------------- + +\useoutertheme{split} 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+\begin{frame} + \frametitle{Introduction} +\end{frame} +% ------------------------------------------------------------------------------ +\end{document} diff --git a/Kstmumu/Face2Face_meeting/Systematics/tmp/example/example.toc b/Kstmumu/Face2Face_meeting/Systematics/tmp/example/example.toc new file mode 100644 index 0000000..495658f --- /dev/null +++ b/Kstmumu/Face2Face_meeting/Systematics/tmp/example/example.toc @@ -0,0 +1,2 @@ +\beamer@endinputifotherversion {3.10pt} +\select@language {english} diff --git a/Kstmumu/Face2Face_meeting/Systematics/tmp/example/sybila-logo-paper-shaded.png b/Kstmumu/Face2Face_meeting/Systematics/tmp/example/sybila-logo-paper-shaded.png new file mode 100644 index 0000000..f2a2c4e --- /dev/null +++ b/Kstmumu/Face2Face_meeting/Systematics/tmp/example/sybila-logo-paper-shaded.png Binary files differ diff --git a/Kstmumu/Face2Face_meeting/Systematics/tmp/example/sybila-logo-slide-title-shaded.pdf 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