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% Seth Brown, Ph.D.
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% title slide definition
\title{Updates on activities.}
%\subtitle{a bias report}
\author{ Marcin Chrz\k{a}szcz$^{1,2}$ , Nicola Serra$^{1}$ }
\institute[UTH, IFJ]
{
%\begin{tiny}
$ ^1$ University of Zurich , $ ^2$ Institute of Nuclear Physics, Krakow,
%\end{tiny}smallsmall
}
\date{ \today }
%--------------------------------------------------------------------
% Introduction
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\begin{document}
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%--------------------------------------------------------------------
% OUTLINE
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\section[Outline]{}
\begin{frame}
\tableofcontents
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% Introduction
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\title{Update on analysis}
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\section{Introduction}
\begin{frame}\frametitle{Reminder}
\begin{itemize}
\item last time I shown the preliminary results of analysing the TOY MC.
\item Found couple of bugs, and bias in fitting.
\item Today will give the final numbers.
\end{itemize}
\textref {M.Chrz\k{a}szcz, N.Serra 2014}
\end{frame}
\section{MM without unfolding}
\begin{frame}\frametitle{MM results without unfolding.}
\begin{itemize}
\item This hasn't change at all from last time.
\item For details on extraction of the signal moments from the mixsampel(bck+sig) see my previous presentation: \href{https://indico.cern.ch/event/290856/contribution/0/material/slides/0.pdf}{Link}
\item I am tired of putting $\mathcal{O}(10^2)$ plots in the presentations
\item All pull plots are here: \href{http://nz17-p1.ifj.edu.pl/work_public/LHCb/Kst_mumu/Official_TOYMC_results/PLOTS_SM}{Link}
\item Fits to mass here: \href{http://nz17-p1.ifj.edu.pl/work_public/LHCb/Kst_mumu/Official_TOYMC_results/PLOTS_SM_mass}{Link}
\item Summarizing table in the next slide.
\item HEADS UP: tables are small, I attached the bigger version in separate file.
\end{itemize}
\textref {M.Chrz\k{a}szcz, N.Serra 2014}
\end{frame}
\begin{frame}\frametitle{MM without unfolding results }
\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{0.55}{$-0.015 \pm 0.027(0.6)$} & \scalebox{0.55}{$0.057 \pm 0.027(2.1)$} & \scalebox{0.55}{$-0.018 \pm 0.028(0.6)$} & \scalebox{0.55}{$0.046 \pm 0.027(1.7)$} & \scalebox{0.55}{$0.021 \pm 0.027(0.8)$} & \scalebox{0.55}{$-0.0082 \pm 0.028(0.3)$} & \scalebox{0.55}{$0.0098 \pm 0.026(0.4)$} \\ \hline
1 & \scalebox{0.55}{$0.031 \pm 0.029(1.1)$} & \scalebox{0.55}{$0.026 \pm 0.027(1.0)$} & \scalebox{0.55}{$-0.016 \pm 0.029(0.6)$} & \scalebox{0.55}{$0.013 \pm 0.028(0.5)$} & \textcolor{blue}{\scalebox{0.55}{$-0.091 \pm 0.028(3.3)$}} & \scalebox{0.55}{$-0.053 \pm 0.027(2.0)$} & \scalebox{0.55}{$0.0078 \pm 0.028(2.8)$} \\ \hline
2 & \scalebox{0.55}{$-0.052 \pm 0.027(1.9)$} & \scalebox{0.55}{$-0.0031 \pm 0.027(0.1)$} & \scalebox{0.55}{$-0.041 \pm 0.029(0.5)$} & \scalebox{0.55}{$-0.039 \pm 0.027(1.4)$} & \scalebox{0.55}{$-0.012 \pm 0.027(0.4)$} & \scalebox{0.55}{$-0.048 \pm 0.026(1.8)$} & \scalebox{0.55}{$0.023 \pm 0.029(0.8)$} \\ \hline
3 & \scalebox{0.55}{$-0.035 \pm 0.027(1.3)$} & \scalebox{0.55}{$0.013 \pm 0.027(0.5)$} & \scalebox{0.55}{$0.0047 \pm 0.028(0.2)$} & \scalebox{0.55}{$-0.042 \pm 0.028(1.5)$} & \scalebox{0.55}{$0.044 \pm 0.028(1.6)$} & \scalebox{0.55}{$0.019 \pm 0.028(0.7)$} & \scalebox{0.55}{$-0.03 \pm 0.029(1.0)$} \\ \hline
4 & \scalebox{0.55}{$0.049 \pm 0.027(1.8)$} & \scalebox{0.55}{$-0.021 \pm 0.028(0.8)$} & \scalebox{0.55}{$0.0025 \pm 0.029(0.1)$} & \scalebox{0.55}{$0.025 \pm 0.027(0.9)$} & \scalebox{0.55}{$0.045 \pm 0.028(1.6)$} & \scalebox{0.55}{$-0.035 \pm 0.027(1.3)$} & \scalebox{0.55}{$0.057 \pm 0.026(2.2)$} \\ \hline
5 & \scalebox{0.55}{$0.014 \pm 0.029(0.5)$} & \scalebox{0.55}{$-0.018 \pm 0.027(0.7)$} & \scalebox{0.55}{$0.013 \pm 0.028(0.5)$} & \scalebox{0.55}{$-0.009 \pm 0.028(0.3)$} & \scalebox{0.55}{$0.029 \pm 0.027(1.1)$} & \scalebox{0.55}{$-0.021 \pm 0.028(0.8)$} & \scalebox{0.55}{$0.043 \pm 0.028(1.5)$} \\ \hline
6 & \scalebox{0.55}{$0.012 \pm 0.029(0.4)$} & \scalebox{0.55}{$-0.0021 \pm 0.029(0.1)$} & \scalebox{0.55}{$-0.01 \pm 0.028(0.4)$} & \scalebox{0.55}{$0.0098 \pm 0.028(0.3)$} & \scalebox{0.55}{$0.0014 \pm 0.028(0.1)$} & \scalebox{0.55}{$-0.00054 \pm 0.029(1.0)$} & \scalebox{0.55}{$-0.031 \pm 0.026(1.3)$} \\ \hline
7 & \textcolor{red}{\scalebox{0.55}{$0.15 \pm 0.027(5.6)$}} & \textcolor{red}{\scalebox{0.55}{$-0.24 \pm 0.028(18)$}} & \textcolor{red}{\scalebox{0.55}{$-0.32 \pm 0.027(12)$} }& \textcolor{red}{\scalebox{0.55}{$1.6 \pm 0.027(60)$}} & \textcolor{red}{\scalebox{0.55}{$0.37 \pm 0.028(13)$}} & \textcolor{red}{\scalebox{0.55}{$-0.15 \pm 0.027(60)$}} & \scalebox{0.55}{$0.016 \pm 0.028(0.6)$} \\ \hline
8 & \scalebox{0.55}{$0.017 \pm 0.027(0.6)$} & \scalebox{0.55}{$-0.039 \pm 0.028(1.4)$} & \scalebox{0.55}{$-0.01 \pm 0.027(0.4)$} & \scalebox{0.55}{$0.023 \pm 0.028(0.8)$} & \scalebox{0.55}{$0.011 \pm 0.029(0.4)$} & \scalebox{0.55}{$-0.015 \pm 0.027(0.6)$} & \scalebox{0.55}{$-0.022 \pm 0.028(0.8)$} \\ \hline
9 & \scalebox{0.55}{$0.042 \pm 0.028(1,5)$} & \scalebox{0.55}{$0.00059 \pm 0.026(0.1)$} & \scalebox{0.55}{$0.024 \pm 0.026(0.9)$} & \scalebox{0.55}{$0.034 \pm 0.027(1.3)$} & \scalebox{0.55}{$-0.021 \pm 0.027(0.8)$} & \textcolor{blue}{\scalebox{0.55}{$-0.082 \pm 0.027(3.0)$}} & \scalebox{0.55}{$-0.016 \pm 0.027(0.6)$} \\ \hline
10 & \scalebox{0.55}{$0.013 \pm 0.026(0.5)$} & \scalebox{0.55}{$-0.038 \pm 0.027(1.4)$} & \scalebox{0.55}{$-0.027 \pm 0.027(1.0)$} & \scalebox{0.55}{$-0.04 \pm 0.028(1.4)$} & \scalebox{0.55}{$-0.028 \pm 0.029(1.0)$} & \scalebox{0.55}{$0.037 \pm 0.028(1.3)$} & \scalebox{0.55}{$-0.024 \pm 0.028(0.9)$} \\ \hline
11 & \textcolor{blue}{\scalebox{0.55}{$0.092 \pm 0.027(3.4)$}} & \scalebox{0.55}{$0.0068 \pm 0.028(0.2)$} & \scalebox{0.55}{$-0.076 \pm 0.027(2.8)$} & \scalebox{0.55}{$-0.029 \pm 0.028(1.0)$} & \scalebox{0.55}{$-0.025 \pm 0.028(0.9)$} & \scalebox{0.55}{$-0.018 \pm 0.027(0.7)$} & \scalebox{0.55}{$-0.03 \pm 0.027(1.1)$} \\ \hline
\hline
\end{tabular}
\end{center}
\begin{Large}
Everything better then I hoped :)
\end{Large}
\end{tiny}
\textref {M.Chrz\k{a}szcz, N.Serra 2014}
\end{frame}
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%5
\begin{frame}\frametitle{MM without unfolding results }
\begin{tiny}
\begin{center}
\begin{tabular}{ l l l l l l l l l }
\hline
\multicolumn{8}{c}{Sigma of the pull} \\ \hline
$q^2$ & $S_3$ & $S_4$ & $S_5$ & $S_{6s}$ & $S_{6c}$ & $S_7$ & $S_8$ \\ \hline \hline
0 & \scalebox{0.6}{$0.96 \pm 0.02(2.1)$} & \scalebox{0.6}{$0.95 \pm 0.02(2.7)$} & \scalebox{0.6}{$0.97 \pm 0.022(1.5)$} & \scalebox{0.6}{$0.97 \pm 0.021(1.2)$} & \scalebox{0.6}{$0.95 \pm 0.023(2.2)$} & \scalebox{0.6}{$0.98 \pm 0.023(0.93)$} & \scalebox{0.6}{$0.94 \pm 0.021(2.9)$} \\ \hline
1 & \scalebox{0.6}{$1 \pm 0.025(-0.37)$} & \scalebox{0.6}{$0.97 \pm 0.022(1.4)$} & \scalebox{0.6}{$1 \pm 0.024(-0.57)$} & \scalebox{0.6}{$0.97 \pm 0.023(1.4)$} & \scalebox{0.6}{$0.99 \pm 0.023(0.44)$} & \scalebox{0.6}{$0.97 \pm 0.021(1.7)$} & \scalebox{0.6}{$0.98 \pm 0.022(1.1)$} \\ \hline
2 & \scalebox{0.6}{$0.94 \pm 0.022(2.7)$} & \scalebox{0.6}{$0.96 \pm 0.021(1.7)$} & \scalebox{0.6}{$1 \pm 0.023(0.021)$} & \scalebox{0.6}{$0.95 \pm 0.022(2.2)$} & \scalebox{0.6}{$0.96 \pm 0.023(2)$} & \scalebox{0.6}{$0.95 \pm 0.021(2.5)$} & \scalebox{0.6}{$1 \pm 0.025(-0.84)$} \\ \hline
3 & \scalebox{0.6}{$0.95 \pm 0.022(2.1)$} & \scalebox{0.6}{$0.96 \pm 0.022(1.6)$} & \scalebox{0.6}{$0.98 \pm 0.021(0.83)$} & \scalebox{0.6}{$0.99 \pm 0.021(0.55)$} & \scalebox{0.6}{$0.97 \pm 0.023(1.2)$} & \scalebox{0.6}{$0.98 \pm 0.023(0.74)$} & \scalebox{0.6}{$1 \pm 0.022(-0.024)$} \\ \hline
4 & \scalebox{0.6}{$0.96 \pm 0.023(1.8)$} & \scalebox{0.6}{$0.98 \pm 0.022(1.1)$} & \scalebox{0.6}{$1 \pm 0.023(-0.79)$} & \scalebox{0.6}{$0.94 \pm 0.023(2.4)$} & \scalebox{0.6}{$0.96 \pm 0.024(1.6)$} & \scalebox{0.6}{$0.95 \pm 0.021(2.2)$} & \scalebox{0.6}{$0.94 \pm 0.021(2.9)$} \\ \hline
5 & \scalebox{0.6}{$1 \pm 0.023(-0.3)$} & \scalebox{0.6}{$0.95 \pm 0.022(2.1)$} & \scalebox{0.6}{$1 \pm 0.021(0.13)$} & \scalebox{0.6}{$0.98 \pm 0.021(0.9)$} & \scalebox{0.6}{$0.95 \pm 0.023(2.1)$} & \scalebox{0.6}{$0.98 \pm 0.021(1.1)$} & \scalebox{0.6}{$0.99 \pm 0.022(0.65)$} \\ \hline
6 & \scalebox{0.6}{$1 \pm 0.025(-0.33)$} & \scalebox{0.6}{$1 \pm 0.023(-0.41)$} & \scalebox{0.6}{$0.97 \pm 0.023(1.2)$} & \scalebox{0.6}{$0.99 \pm 0.022(0.26)$} & \scalebox{0.6}{$0.98 \pm 0.023(0.78)$} & \scalebox{0.6}{$0.99 \pm 0.024(0.58)$} & \textcolor{blue}{\scalebox{0.6}{$0.93 \pm 0.02(3.4)$}} \\ \hline
7 & \scalebox{0.6}{$0.95 \pm 0.021(2.3)$} & \scalebox{0.6}{$0.97 \pm 0.022(1.3)$} & \scalebox{0.6}{$0.95 \pm 0.022(2.3)$} & \scalebox{0.6}{$0.95 \pm 0.023(2.1)$} & \scalebox{0.6}{$0.97 \pm 0.022(1.4)$} & \textcolor{blue}{\scalebox{0.6}{$0.93 \pm 0.022(3.3)$}} & \scalebox{0.6}{$0.99 \pm 0.023(0.53)$} \\ \hline
8 & \scalebox{0.6}{$0.94 \pm 0.022(2.9)$} & \scalebox{0.6}{$0.99 \pm 0.024(0.21)$} & \scalebox{0.6}{$0.96 \pm 0.021(1.9)$} & \scalebox{0.6}{$1 \pm 0.024(0.014)$} & \scalebox{0.6}{$1 \pm 0.023(-0.0078)$} & \scalebox{0.6}{$0.96 \pm 0.022(1.8)$} & \scalebox{0.6}{$0.95 \pm 0.023(2)$} \\ \hline
9 & \scalebox{0.6}{$0.98 \pm 0.023(1)$} & \scalebox{0.6}{$0.91 \pm 0.021(4.2)$} & \scalebox{0.6}{$0.91 \pm 0.02(4.4)$} & \scalebox{0.6}{$0.95 \pm 0.022(2.4)$} & \scalebox{0.6}{$0.95 \pm 0.022(2.1)$} & \scalebox{0.6}{$0.95 \pm 0.022(2.4)$} & \scalebox{0.6}{$0.97 \pm 0.022(1.5)$} \\ \hline
10 & \textcolor{blue}{\scalebox{0.6}{$0.92 \pm 0.021(3.8)$}} & \scalebox{0.6}{$0.95 \pm 0.023(2.3)$} & \scalebox{0.6}{$0.96 \pm 0.021(2.1)$} & \scalebox{0.6}{$0.98 \pm 0.023(0.9)$} & \scalebox{0.6}{$1 \pm 0.023(-0.24)$} & \scalebox{0.6}{$0.97 \pm 0.023(1.4)$} & \scalebox{0.6}{$1 \pm 0.025(0.067)$} \\ \hline
11 & \scalebox{0.6}{$0.97 \pm 0.021(1.5)$} & \scalebox{0.6}{$0.98 \pm 0.022(1.1)$} & \scalebox{0.6}{$0.95 \pm 0.02(2.6)$} & \scalebox{0.6}{$0.96 \pm 0.024(1.8)$} & \scalebox{0.6}{$0.98 \pm 0.023(1.1)$} & \scalebox{0.6}{$0.96 \pm 0.022(1.7)$} & \scalebox{0.6}{$0.96 \pm 0.021(1.8)$} \\ \hline
\hline
\end{tabular}
\end{center}
\begin{Large}
Everything better then I hoped :)
\end{Large}
\end{tiny}
\textref {M.Chrz\k{a}szcz, N.Serra 2014}
\end{frame}
\section{MM with unfolding}
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%5
\begin{frame}\frametitle{MM with unfolding results }
\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{0.55}{$-0.022 \pm 0.028(-0.8)$} & \scalebox{0.55}{$0.071 \pm 0.026(2.7)$} & \scalebox{0.55}{$-0.05 \pm 0.028(-1.8)$} & \scalebox{0.55}{$0.059 \pm 0.029(2)$} & \scalebox{0.55}{$0.022 \pm 0.027(0.8)$} & \scalebox{0.55}{$-0.059 \pm 0.027(-2.2)$} & \scalebox{0.55}{$0.031 \pm 0.026(1.2)$} \\ \hline
1 & \scalebox{0.55}{$-0.0075 \pm 0.027(-0.3)$} & \scalebox{0.55}{$0.015 \pm 0.026(0.6)$} & \scalebox{0.55}{$-0.072 \pm 0.027(-2.6)$} & \textcolor{red}{\scalebox{0.55}{$-0.15 \pm 0.03(-5.1)$}} & \scalebox{0.55}{$-0.066 \pm 0.028(-2.4)$} & \scalebox{0.55}{$-0.046 \pm 0.027(-1.7)$} & \scalebox{0.55}{$0.0051 \pm 0.027(0.2)$} \\ \hline
2 & \scalebox{0.55}{$-0.02 \pm 0.027(-0.7)$} & \scalebox{0.55}{$-0.01 \pm 0.028(-0.4)$} & \scalebox{0.55}{$0.04 \pm 0.027(1.5)$} & \textcolor{red}{\scalebox{0.55}{$-0.15 \pm 0.028(-5.5)$}} & \scalebox{0.55}{$-0.059 \pm 0.027(-2.1)$} & \scalebox{0.55}{$0.0086 \pm 0.028(0.3)$} & \scalebox{0.55}{$-0.024 \pm 0.03(-0.9)$} \\ \hline
3 & \scalebox{0.55}{$-0.029 \pm 0.027(-1.1)$} & \scalebox{0.55}{$-0.065 \pm 0.027(-2.4)$} & \textcolor{blue}{\scalebox{0.55}{$0.12 \pm 0.026(4.5)$}} & \scalebox{0.55}{$-0.059 \pm 0.028(-2.1)$} & \scalebox{0.55}{$0.018 \pm 0.027(0.7)$} & \scalebox{0.55}{$0.021 \pm 0.027(0.8)$} & \scalebox{0.55}{$-0.04 \pm 0.028(-1.5)$} \\ \hline
4 & \scalebox{0.55}{$-0.033 \pm 0.027(-1.3)$} & \scalebox{0.55}{$-0.065 \pm 0.027(-2.4)$} & \textcolor{blue}{\scalebox{0.55}{$0.13 \pm 0.027(4.9)$}} & \scalebox{0.55}{$0.05 \pm 0.027(1.9)$} & \scalebox{0.55}{$-0.035 \pm 0.026(-1.3)$} & \scalebox{0.55}{$-0.023 \pm 0.027(-0.8)$} & \scalebox{0.55}{$0.053 \pm 0.027(2)$} \\ \hline
5 & \scalebox{0.55}{$0.033 \pm 0.026(1.3)$} & \scalebox{0.55}{$-0.095 \pm 0.026(-3.6)$} & \textcolor{red}{\scalebox{0.55}{$0.16 \pm 0.027(5.8)$}} & \scalebox{0.55}{$0.043 \pm 0.028(1.5)$} & \scalebox{0.55}{$-0.0014 \pm 0.028(-0.1)$} & \scalebox{0.55}{$-0.007 \pm 0.027(-0.3)$} & \scalebox{0.55}{$0.045 \pm 0.027(1.7)$} \\ \hline
6 & \scalebox{0.55}{$-0.008 \pm 0.028(-0.3)$} & \scalebox{0.55}{$-0.1 \pm 0.028(-3.6)$} & \textcolor{red}{\scalebox{0.55}{$0.16 \pm 0.03(5.8)$}} & \scalebox{0.55}{$0.16 \pm 0.03(6)$} & \scalebox{0.55}{$0.045 \pm 0.03(1.7)$} & \scalebox{0.55}{$0.0056 \pm 0.027(0.2)$} & \scalebox{0.55}{$0.009 \pm 0.03(0.3)$} \\ \hline
8 & \scalebox{0.55}{$0.058 \pm 0.027(2.2)$} & \scalebox{0.55}{$-0.12 \pm 0.027(-4.3)$} & \scalebox{0.55}{$0.049 \pm 0.03(1.9)$} & \textcolor{red}{\scalebox{0.55}{$0.15 \pm 0.03(5.5)$}} & \scalebox{0.55}{$-0.045 \pm 0.03(-1.7)$} & \scalebox{0.55}{$0.018 \pm 0.03(0.7)$} & \scalebox{0.55}{$-0.019 \pm 0.03(-0.7)$} \\ \hline
9 & \scalebox{0.55}{$0.043 \pm 0.03(1.6)$} & \scalebox{0.55}{$-0.037 \pm 0.03(-1.3)$} & \textcolor{blue}{\scalebox{0.55}{$0.091 \pm 0.03(3.4)$}} & \textcolor{red}{\scalebox{0.55}{$0.15 \pm 0.03(5.4)$}} & \scalebox{0.55}{$-0.035 \pm 0.03(-1.3)$} & \scalebox{0.55}{$-0.04 \pm 0.03(-1.6)$} & \scalebox{0.55}{$-0.049 \pm 0.03(-1.7)$} \\ \hline
10 & \scalebox{0.55}{$0.0053 \pm 0.03(0.19)$} & \scalebox{0.55}{$-0.043 \pm 0.03(-1.6)$} & \scalebox{0.55}{$0.051 \pm 0.03(1.9)$} & \scalebox{0.55}{$0.068 \pm 0.03(2.5)$} & \scalebox{0.55}{$-0.009 \pm 0.03(-0.3)$} & \scalebox{0.55}{$0.018 \pm 0.03(0.7)$} & \scalebox{0.55}{$-0.021 \pm 0.03(-0.8)$} \\ \hline
11 & \textcolor{blue}{\scalebox{0.55}{$0.088 \pm 0.03(3.1)$}} & \scalebox{0.55}{$-0.1 \pm 0.03(-3.4)$} & \scalebox{0.55}{$0.036 \pm 0.03(1.3)$} & \textcolor{blue}{\scalebox{0.55}{$0.084 \pm 0.03(3)$}} & \scalebox{0.55}{$-0.049 \pm 0.03(-1.7)$} & \scalebox{0.55}{$0.015 \pm 0.03(0.5)$} & \scalebox{0.55}{$-0.019 \pm 0.03(-0.7)$} \\ \hline
\hline
\end{tabular}
\end{center}
\end{tiny}
\begin{block}{Aristotle:}
Hope is the dream of a waking man.
\end{block}
But I like the moments dream!\\
Pull plots: \href{http://nz17-p1.ifj.edu.pl/work_public/LHCb/Kst_mumu/Official_TOYMC_results/PLOTS_SM_ACC}{Link}
\end{frame}
%%%%%%%%%%%%%%%%%%%%%% SIGMA %%%%%%%%%%%5555
\begin{frame}\frametitle{MM with unfolding results }
\begin{tiny}
\begin{center}
\begin{tabular}{ l l l l l l l l l }
\hline
\multicolumn{8}{c}{Sigma of the pull} \\ \hline
$q^2$ & $S_3$ & $S_4$ & $S_5$ & $S_{6s}$ & $S_{6c}$ & $S_7$ & $S_8$ \\ \hline \hline
0 & \scalebox{0.55}{$0.98 \pm 0.02(0.78)$} & \scalebox{0.55}{$0.95 \pm 0.019(2.5)$} & \scalebox{0.55}{$1 \pm 0.021(-0.53)$} & \scalebox{0.55}{$1 \pm 0.024(-1.5)$} & \scalebox{0.55}{$0.96 \pm 0.022(1.8)$} & \scalebox{0.55}{$0.99 \pm 0.021(0.49)$} & \scalebox{0.55}{$0.95 \pm 0.019(2.7)$} \\ \hline
1 & \scalebox{0.55}{$0.97 \pm 0.021(1.4)$} & \scalebox{0.55}{$0.95 \pm 0.018(2.6)$} & \scalebox{0.55}{$0.96 \pm 0.02(1.8)$} & \scalebox{0.55}{$1.1 \pm 0.023(-2.2)$} & \scalebox{0.55}{$1 \pm 0.021(-0.82)$} & \scalebox{0.55}{$1 \pm 0.022(0.034)$} & \scalebox{0.55}{$0.97 \pm 0.019(1.4)$} \\ \hline
2 & \scalebox{0.55}{$0.97 \pm 0.021(1.5)$} & \scalebox{0.55}{$1 \pm 0.02(-0.0053)$} & \scalebox{0.55}{$0.99 \pm 0.019(0.56)$} & \scalebox{0.55}{$1 \pm 0.021(0.029)$} & \scalebox{0.55}{$1 \pm 0.022(-0.028)$} & \scalebox{0.55}{$1 \pm 0.02(-0.47)$} & \scalebox{0.55}{$0.96 \pm 0.019(1.9)$} \\ \hline
3 & \scalebox{0.55}{$0.97 \pm 0.019(1.5)$} & \scalebox{0.55}{$0.97 \pm 0.023(1.5)$} & \scalebox{0.55}{$0.95 \pm 0.018(3)$} & \scalebox{0.55}{$1 \pm 0.021(-0.15)$} & \scalebox{0.55}{$0.99 \pm 0.022(0.49)$} & \scalebox{0.55}{$0.98 \pm 0.021(1.1)$} & \scalebox{0.55}{$1 \pm 0.021(0.11)$} \\ \hline
4 & \scalebox{0.55}{$0.96 \pm 0.018(2)$} & \scalebox{0.55}{$0.96 \pm 0.019(2)$} & \scalebox{0.55}{$0.98 \pm 0.021(0.92)$} & \scalebox{0.55}{$0.98 \pm 0.02(1.1)$} & \scalebox{0.55}{$0.94 \pm 0.02(2.8)$} & \scalebox{0.55}{$0.99 \pm 0.023(0.46)$} & \scalebox{0.55}{$0.98 \pm 0.021(0.89)$} \\ \hline
5 & \scalebox{0.55}{$0.96 \pm 0.019(2.3)$} & \scalebox{0.55}{$0.96 \pm 0.019(2.3)$} & \scalebox{0.55}{$0.98 \pm 0.021(0.71)$} & \scalebox{0.55}{$1 \pm 0.022(-0.72)$} & \scalebox{0.55}{$1 \pm 0.021(-0.028)$} & \scalebox{0.55}{$0.98 \pm 0.021(1)$} & \scalebox{0.55}{$0.97 \pm 0.019(1.4)$} \\ \hline
6 & \scalebox{0.55}{$1 \pm 0.022(-0.13)$} & \scalebox{0.55}{$1 \pm 0.02(0.12)$} & \scalebox{0.55}{$0.98 \pm 0.021(0.95)$} & \scalebox{0.55}{$0.96 \pm 0.019(2.2)$} & \scalebox{0.55}{$0.95 \pm 0.019(2.9)$} & \scalebox{0.55}{$0.98 \pm 0.021(1.1)$} & \scalebox{0.55}{$0.98 \pm 0.02(0.76)$} \\ \hline
7 & \scalebox{0.55}{$0.99 \pm 0.021(0.71)$} & \scalebox{0.55}{$0.98 \pm 0.02(0.76)$} & \scalebox{0.55}{$0.95 \pm 0.019(2.5)$} & \scalebox{0.55}{$0.97 \pm 0.02(1.3)$} & \scalebox{0.55}{$1 \pm 0.022(-1.1)$} & \scalebox{0.55}{$1 \pm 0.021(-0.58)$} & \scalebox{0.55}{$0.99 \pm 0.019(0.66)$} \\ \hline
8 & \scalebox{0.55}{$0.95 \pm 0.02(2.3)$} & \scalebox{0.55}{$0.99 \pm 0.021(0.26)$} & \scalebox{0.55}{$0.95 \pm 0.019(2.5)$} & \scalebox{0.55}{$0.98 \pm 0.019(0.98)$} & \scalebox{0.55}{$0.94 \pm 0.019(2.9)$} & \scalebox{0.55}{$0.98 \pm 0.021(1.1)$} & \scalebox{0.55}{$0.97 \pm 0.019(1.6)$} \\ \hline
9 & \scalebox{0.55}{$0.97 \pm 0.02(1.7)$} & \scalebox{0.55}{$0.99 \pm 0.02(0.36)$} & \scalebox{0.55}{$0.98 \pm 0.02(0.81)$} & \scalebox{0.55}{$1 \pm 0.023(-0.93)$} & \scalebox{0.55}{$0.96 \pm 0.019(2.1)$} & \scalebox{0.55}{$0.93 \pm 0.019(3.7)$} & \scalebox{0.55}{$1 \pm 0.022(-0.15)$} \\ \hline
10 & \scalebox{0.55}{$1 \pm 0.02(-0.0027)$} & \scalebox{0.55}{$0.99 \pm 0.022(0.5)$} & \scalebox{0.55}{$1 \pm 0.022(0.051)$} & \scalebox{0.55}{$0.98 \pm 0.02(1)$} & \scalebox{0.55}{$0.99 \pm 0.02(0.31)$} & \scalebox{0.55}{$0.98 \pm 0.02(0.86)$} & \scalebox{0.55}{$0.99 \pm 0.02(0.64)$} \\ \hline
11 & \scalebox{0.55}{$1 \pm 0.023(-1.6)$} & \scalebox{0.55}{$1.1 \pm 0.022(-3)$} & \scalebox{0.55}{$1.1 \pm 0.02(-2.5)$} & \scalebox{0.55}{$1 \pm 0.021(-1.3)$} & \scalebox{0.55}{$1 \pm 0.022(-1.9)$} & \scalebox{0.55}{$1 \pm 0.021(-2)$} & \scalebox{0.55}{$1 \pm 0.02(-0.77)$} \\ \hline
\hline
\end{tabular}
\end{center}
\end{tiny}
\begin{Large}
Sigmas are ok!
\end{Large}
\end{frame}
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%5
\begin{frame}\frametitle{MM without unfolding - DEBUGGING}
Where things can go wrong?
\begin{itemize}
\item Signal moments with weights are wrong?
\item Background moments are wrong.
\end{itemize}
Good that there aren't many possibilities :P
\textref {M.Chrz\k{a}szcz, N.Serra 2014}
\end{frame}
\begin{frame}\frametitle{DEBUGGING: signal only}
\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{0.55}{$-0.043 \pm 0.027(-1.6)$} & \scalebox{0.55}{$0.051 \pm 0.027(1.9)$} & \scalebox{0.55}{$0.048 \pm 0.028(1.7)$} & \textcolor{blue}{\scalebox{0.55}{$0.13 \pm 0.028(4.6)$}} & \scalebox{0.55}{$0.022 \pm 0.028(0.8)$} & \scalebox{0.55}{$-0.036 \pm 0.027(-1.3)$} & \scalebox{0.55}{$0.01 \pm 0.027(0.4)$} \\ \hline
1 & \scalebox{0.55}{$-0.036 \pm 0.027(-1.3)$} & \scalebox{0.55}{$-0.03 \pm 0.028(-1.1)$} & \scalebox{0.55}{$-0.022 \pm 0.026(-0.8)$} & \scalebox{0.55}{$-0.019 \pm 0.029(-0.7)$} & \scalebox{0.55}{$-0.068 \pm 0.028(-2.4)$} & \scalebox{0.55}{$-0.022 \pm 0.027(-0.8)$} & \scalebox{0.55}{$0.0043 \pm 0.026(0.2)$} \\ \hline
2 & \scalebox{0.55}{$-0.044 \pm 0.027(-1.6)$} & \scalebox{0.55}{$-8.8e-05 \pm 0.028(-0.0)$} & \scalebox{0.55}{$0.035 \pm 0.027(1.3)$} & \scalebox{0.55}{$-0.018 \pm 0.027(-0.7)$} & \scalebox{0.55}{$-0.04 \pm 0.028(-1.4)$} & \scalebox{0.55}{$0.00 \pm 0.029(0.0)$} & \scalebox{0.55}{$-0.04 \pm 0.028(-1.4)$} \\ \hline
3 & \scalebox{0.55}{$-0.037 \pm 0.027(-1.4)$} & \scalebox{0.55}{$0.0043 \pm 0.027(0.2)$} & \scalebox{0.55}{$-0.055 \pm 0.027(-2)$} & \scalebox{0.55}{$-0.0083 \pm 0.028(-0.3)$} & \scalebox{0.55}{$0.046 \pm 0.027(1.7)$} & \scalebox{0.55}{$0.0086 \pm 0.026(0.3)$} & \scalebox{0.55}{$-0.049 \pm 0.027(-1.8)$} \\ \hline
4 & \scalebox{0.55}{$-0.015 \pm 0.027(-0.5)$} & \scalebox{0.55}{$-0.03 \pm 0.027(-1.1)$} & \scalebox{0.55}{$-0.029 \pm 0.027(-1.1)$} & \scalebox{0.55}{$0.013 \pm 0.028(0.5)$} & \scalebox{0.55}{$-0.031 \pm 0.027(-1.2)$} & \scalebox{0.55}{$0.0078 \pm 0.028(0.3)$} & \scalebox{0.55}{$0.064 \pm 0.026(2.5)$} \\ \hline
5 & \scalebox{0.55}{$0.066 \pm 0.027(2.5)$} & \scalebox{0.55}{$-0.021 \pm 0.026(-0.8)$} & \scalebox{0.55}{$-0.072 \pm 0.028(-2.6)$} & \scalebox{0.55}{$-0.031 \pm 0.028(-1.1)$} & \scalebox{0.55}{$-0.0037 \pm 0.028(-0.1)$} & \scalebox{0.55}{$0.0033 \pm 0.025(0.1)$} & \scalebox{0.55}{$0.024 \pm 0.026(0.9)$} \\ \hline
6 & \scalebox{0.55}{$-0.018 \pm 0.027(-0.6)$} & \scalebox{0.55}{$-0.026 \pm 0.028(-0.9)$} & \scalebox{0.55}{$0.013 \pm 0.028(0.5)$} & \scalebox{0.55}{$0.05 \pm 0.028(1.8)$} & \scalebox{0.55}{$0.054 \pm 0.026(2.1)$} & \scalebox{0.55}{$-0.013 \pm 0.026(-0.5)$} & \scalebox{0.55}{$0.0048 \pm 0.028(0.2)$} \\ \hline
8 & \scalebox{0.55}{$0.033 \pm 0.026(1.3)$} & \scalebox{0.55}{$-0.033 \pm 0.028(-1.2)$} & \scalebox{0.55}{$-0.021 \pm 0.027(-0.8)$} & \scalebox{0.55}{$0.0038 \pm 0.028(0.1)$} & \scalebox{0.55}{$-0.062 \pm 0.027(-2.3)$} & \scalebox{0.55}{$0.026 \pm 0.027(1.0)$} & \scalebox{0.55}{$-0.0032 \pm 0.027(-0.1)$} \\ \hline
9 & \scalebox{0.55}{$-0.045 \pm 0.027(-1.6)$} & \scalebox{0.55}{$-0.0082 \pm 0.028(-0.3)$} & \scalebox{0.55}{$0.018 \pm 0.027(0.7)$} & \scalebox{0.55}{$0.02 \pm 0.026(0.8)$} & \scalebox{0.55}{$-0.029 \pm 0.026(-1.1)$} & \scalebox{0.55}{$0.012 \pm 0.025(0.5)$} & \scalebox{0.55}{$-0.015 \pm 0.026(-0.6)$} \\ \hline
10 & \scalebox{0.55}{$-0.0041 \pm 0.027(-0.2)$} & \scalebox{0.55}{$-0.033 \pm 0.028(-1.2)$} & \scalebox{0.55}{$0.0066 \pm 0.027(0.3)$} & \scalebox{0.55}{$-0.059 \pm 0.026(-2.2)$} & \scalebox{0.55}{$-0.025 \pm 0.028(-0.9)$} & \scalebox{0.55}{$0.0099 \pm 0.028(0.4)$} & \scalebox{0.55}{$-0.015 \pm 0.028(-0.6)$} \\ \hline
11 & \scalebox{0.55}{$-0.0021 \pm 0.027(-0.1)$} & \scalebox{0.55}{$-0.064 \pm 0.029(-2.2)$} & \scalebox{0.55}{$-0.034 \pm 0.028(-1.2)$} & \scalebox{0.55}{$-0.03 \pm 0.028(-1.1)$} & \scalebox{0.55}{$-0.045 \pm 0.028(-1.6)$} & \scalebox{0.55}{$0.011 \pm 0.028(0.4)$} & \scalebox{0.55}{$-0.031 \pm 0.028(-1.1)$} \\ \hline
\hline
\end{tabular}
\end{center}
\end{tiny}
This looks very ok!
Pull plots: \href{http://nz17-p1.ifj.edu.pl/work_public/LHCb/Kst_mumu/Official_TOYMC_results/PLOTS_SM_ACC_SIG}{Link}
\textref {M.Chrz\k{a}szcz, N.Serra 2014}
\end{frame}
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%5
\begin{frame}\frametitle{MM background: folded}
\begin{columns}
\column{2.5in}
\includegraphics[scale=0.18]{STUPID/costhetak_high.png}\\
\includegraphics[scale=0.18]{STUPID/costhetal_high.png}
\column{2.5in}
\includegraphics[scale=0.18]{STUPID/costhetak_med.png}\\
\includegraphics[scale=0.18]{STUPID/costhetal_med.png}\\
\end{columns}
\textref {M.Chrz\k{a}szcz, N.Serra 2014}
\end{frame}
\begin{frame}\frametitle{MM background unfolded}
\begin{columns}
\column{2.5in}
\includegraphics[scale=0.18]{STUPID/costhetak_high_unfold.png}\\
\includegraphics[scale=0.18]{STUPID/costhetal_high_unfold.png}
\column{2.5in}
\includegraphics[scale=0.18]{STUPID/costhetak_med_unfold.png}\\
\includegraphics[scale=0.18]{STUPID/costhetal_med_unfold.png}\\
\end{columns}
\textref {M.Chrz\k{a}szcz, N.Serra 2014}
\end{frame}
\begin{frame}\frametitle{Error summary}
\begin{tiny}
\begin{center}
\begin{tabular}{ l l l l l l l l l }
\hline
\multicolumn{8}{c}{Error on $S_x$} \\ \hline
$q^2$ & $S_3$ & $S_4$ & $S_5$ & $S_{6s}$ & $S_{6c}$ & $S_7$ & $S_8$ \\ \hline \hline
0 & $0.064$ & $0.071$ & $0.056$ & $0.094$ & $0.057$ & $0.071$ & $0.063$ \\ \hline
1 & $0.089$ & $0.11$ & $0.098$ & $0.098$ & $0.1$ & $0.11$ & $0.089$ \\ \hline
2 & $0.091$ & $0.11$ & $0.11$ & $0.086$ & $0.11$ & $0.12$ & $0.091$ \\ \hline
3 & $0.096$ & $0.12$ & $0.11$ & $0.084$ & $0.11$ & $0.12$ & $0.0954$ \\ \hline
4 & $0.091$ & $0.11$ & $0.11$ & $0.077$ & $0.11$ & $0.11$ & $0.091$ \\ \hline
5 & $0.092$ & $0.11$ & $0.1$ & $0.077$ & $0.1$ & $0.11$ & $0.092$ \\ \hline
6 & $0.088$ & $0.1$ & $0.097$ & $0.073$ & $0.1$ & $0.1$ & $0.089$ \\ \hline
7 & $0.076$ & $0.088$ & $0.082$ & $0.063$ & $0.086$ & $0.09$ & $0.076$ \\ \hline
8 & $0.075$ & $0.083$ & $0.073$ & $0.067$ & $0.081$ & $0.088$ & $0.075$ \\ \hline
9 & $0.077$ & $0.089$ & $0.076$ & $0.07$ & $0.083$ & $0.091$ & $0.077$ \\ \hline
10 & $0.09$ & $0.1$ & $0.087$ & $0.084$ & $0.095$ & $0.1$ & $0.091$ \\ \hline
11 & $0.12$ & $0.13$ & $0.11$ & $0.13$ & $0.12$ & $0.14$ & $0.12$ \\ \hline
\end{tabular}
\end{center}
\end{tiny}
\textref {M.Chrz\k{a}szcz, N.Serra 2014}
\end{frame}
\begin{frame}\frametitle{Summary}
\begin{itemize}
\item There is a mass dependence on the unfolding!
\item What we are seeing with slightly high pull distribution is the negative weights.
\item Taking this effect into account everything in agreement!
\item In terms of MM I consider official TOYMC done(unless some one spoted a mistake :) )
\end{itemize}
\textref {M.Chrz\k{a}szcz, N.Serra 2014}
\end{frame}
\section{S-wave measurements}
\begin{frame}\frametitle{Nest steps}
\begin{itemize}
\item Need to estimate the impact of s-wave on MM.
\item I did the math, which looks promising.
\item Everything in next slides.
\end{itemize}
\textref {M.Chrz\k{a}szcz, N.Serra 2014}
\end{frame}
\begin{frame}\frametitle{S-wave in PDF}
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{1}{4 \pi} (2 I_{1a} sin^2 \theta_l + 2 I_{1b} 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}
\textref {M.Chrz\k{a}szcz, N.Serra 2014}
\end{frame}
\begin{frame}\frametitle{S-wave in PDF}
\begin{equation}
PDF_{total}=PDF_{\PKstar}(1-F_s)+PDF_{s-wave}
\end{equation}
This means that every moment will be exactly the same but multiplied by $(1-F_s)$.
Example:\\
$\dfrac{8 S_3 }{25} \to \dfrac{8 S_3 }{25} (1-F_s)$
\begin{itemize}
\item From this ones seems strait forward that s-wave has a linear impact on $S_x$ measurements.
\item S-wave always tries to make the $S_x$ smaller in terms of absolute value.
\item The stronger bonds we can put on $F_s$ the smaller the error.
\item The interference terms in eq.2 are completely decoupled from anything so we can measure it without any problem and it is for free.
\end{itemize}
\textref {M.Chrz\k{a}szcz, N.Serra 2014}
\end{frame}
\begin{frame}\frametitle{S-wave in PDF}
\begin{itemize}
\item Problem is that $F_l$ and $F_s$ mix(not orthogonal.
\item Easy to calculate the moments:
\end{itemize}
\begin{equation}
M_{F_l}=(\dfrac{2}{135}) (54 + 27 F_l (-1 + F_s) + 2 F_s (-27 + 80 \pi))
\end{equation}
\begin{equation}
M_{F_s}=\dfrac{1}{45} (27 - 9 F_l (-1 + F_s) + F_s (-27 + 128 \pi))
\end{equation}
This is not linear unfortunately, but still can be solved quite easy:
\begin{equation}
F_l = \dfrac{-18 + 15 M_{F_l} + 10 M_{F_s}}{-34 + 15 M_{F_l} + 30 M_{F_s}}
\end{equation}
\begin{equation}
F_s =\dfrac{135 (-2 + M_{F_l}+ 2 M_{F_s})}{270 - 135 M_{F_l} - 270 M_{F_s} - 1088 \pi +
480 M_{F_l} \pi + 960 M_{F_s} \pi}
\end{equation}
\textref {M.Chrz\k{a}szcz, N.Serra 2014}
\end{frame}
\begin{frame}\frametitle{S-wave sensitivity}
\begin{itemize}
\item Will investigate how much sensitivity we have using this method using toyMC.
\item The better we do the smaller the systematic so it's definitely worth looking into!
\end{itemize}
\textref {M.Chrz\k{a}szcz, N.Serra 2014}
\end{frame}
\end{document}
mchrzasz