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\title{Rare decays @ LHCb}
%\subtitle{a bias report}
\author{Marcin Chrz\k{a}szcz}
\institute[Institute of Nuclear Physics]
{
Institute of Nuclear Physics,
\newline Polish Academy of Science,
\newline on behalf of LHCb collaboration
}
\date{$7^{th}$ January 2013}
%--------------------------------------------------------------------
% Introduction
%--------------------------------------------------------------------
\begin{document}
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\vspace{1.1cm}
\begin{columns}
\column{2.75in}
\titlepage
\begin{center}
\includegraphics[height=1.0cm,keepaspectratio ]{pic/ifj.png}
\hspace{1cm}
\includegraphics[height=1.0cm]{pic/LHCb_logo.jpg}
\hspace{1cm}
\includegraphics[height=2.0cm]{pic/epi.jpg}
\end{center}
\vspace{10cm}
\column{2.0in}
\end{columns}
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% OUTLINE
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\section[Outline]{}
\begin{frame}
\tableofcontents
\end{frame}
%-------------------------------------------------------------------
% Introduction
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\section{Overwiew of LHCbs rare decays}
\begin{frame}
\only<1>{
\frametitle{LHCbs rare decays}
{~}
\begin{block}{}
\circled{1} Lepton Flavour Lepton/Byron Number Violating $\PB$, $\Ptau$ decays.\\
\circled{2} Precision tests of Higgs penguins. \\
\hspace{2cm} \begin{itemize} \item Purely leptonic $\PB$, $\PD$, $\PK$ decays. \end{itemize}
\circled{3} Radiative decays. \\
\hspace{2cm} \begin{itemize} \item CP asymmetry in $\PB^0 \to \PK^\ast \Pphoton$ \end{itemize}
\circled{4} New Vector or Axial couplings in EW Penguins \\
\hspace{2cm} \begin{itemize}
\item Angular analysis and CP asymmetry in $b \to s \mu \mu$ transitions.
\item Isospin asymetry in $b \to s \mu \mu$ transitions.
\item First observation of $b \to d \mu \mu$ transition.
\end{itemize}
\end{block}
}
\only<2>{
\frametitle{Discussed decays}
{~}
\begin{block}{}
\circled{1} \textcolor{green}{Lepton Flavour Lepton/Baryon Number Violating $\PB$, $\Ptau$ decays.}\\
\circled{2} \textcolor{green}{Precision tests of Higgs penguins. }\\
\hspace{2cm} \begin{itemize} \item \textcolor{green}{Purely leptonic $\PB$, $\PD$, $\PK$ decays. }\end{itemize}
\circled{3} \textcolor{red}{Radiative decays. }\\
\hspace{2cm} \begin{itemize} \item \textcolor{red}{CP asymmetry in $\PB^0 \to \PK^\ast \Pphoton$} \end{itemize}
\circled{4} \textcolor{red}{ New Vector or Axial couplings in EW Penguins }\\
\hspace{2cm} \begin{itemize}
\item \textcolor{red}{Angular analysis and CP asymmetry in $b \to s \mu \mu$ transitions.}
\item \textcolor{red}{Isospin asymmetry in $b \to s \mu \mu$ transitions.}
\item \textcolor{red}{First observation of $b \to d \mu \mu$ transition.}
\end{itemize}
% }
\end{block}
}
\end{frame}
\section{Lepton Number Violation}
\subsection{$\PB^{-} \to h^{+} \mu^{-} \mu^{-} $}
\begin{frame}%[t]
\frametitle{$\PB^{-} \to h^{+} \mu^{-} \mu^{-} $}%$\PBminus\to h^{+}\ell^{-}\ell^{-}$}
\only<1>{
\Large{$\PBminus\to h^{+}\Plepton^{-}\Plepton^{-}$}
}
\only<2>{
\begin{columns}\begin{column}{.5\textwidth}
on-shell neutrino
\includegraphics[width=\textwidth]{pic/B-Majorana2.pdf}
\end{column}
{\begin{column}{.45\textwidth}
virtual neutrino
\includegraphics[width=\textwidth]{pic/B-Majorana1.pdf}
\end{column}
}
\end{columns}
\begin{columns}
\begin{column}{.5\textwidth}
\begin{itemize}
\item resonant production in accessible mass range
\item rates depend on Majorana neutrino--lepton coupling $|V_{\mu 4}|$
\newline {\footnotesize{(e.g.\ \href{http://arxiv.org/abs/0901.3589}{arXiv:0901.3589)}}}
\item $m_4 = m_{\Plepton^{-},\Ppiplus}$
\end{itemize}
\end{column}
{
\begin{column}{.5\textwidth}
\begin{exampleblock}{Special for $\PB$ decays}
%\begin{itemize}
Diagram without mass restriction
Cabbibo favoured for $\PB\to\PD$
Analogous to double $\beta$ decay.
%\end{itemize}
\end{exampleblock}
\end{column}
}
\end{columns}
}
\textref{M.Chrz\k{a}szcz 2013}
\end{frame}
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
\begin{frame}
\frametitle{Implications on Majorana mass}
\begin{exampleblock}{mass spectrum}
Determine limit as function of $h^{+}\Pmuon$ mass
\end{exampleblock}
{\begin{center}
$\PBminus\to\Ppiplus\Pmuon\Pmuon\quad\quad\quad\PBminus\to\PDs^{+}\Pmuon\Pmuon$
{~}
\includegraphics[width=.82\textwidth]{./UpperTwoBody}\end{center}}
\begin{columns}
\begin{column}{6.5cm}
\end{column}
\begin{column}{1.2cm}
%\includegraphics[width=\textwidth]{pic/LHCb_logo.jpg}
\end{column}
\begin{column}{4cm}
\hspace{.4cm}
{\footnotesize{\href{http://prd.aps.org/abstract/PRD/v85/i11/e112004}{\texttt{Phys. Rev.D85 (2012) 112004 }}}}
\end{column}
\end{columns}
\textref{M.Chrz\k{a}szcz 2013}
\end{frame}
\subsection{$\PBminus\to\PDzero\Ppiplus\Pmuon\Pmuon$}
%\section{LNV in $\PBminus\to h^{0} h^{\prime+}\Plepton^{-}\Plepton^{-}$} %LHCb
\begin{frame}{$\PBminus\to\PDzero \Ppiplus\Pmuon\Pmuon$}
\begin{columns}\begin{column}{.5\textwidth}
\includegraphics[width=\textwidth]{./B-Majorana3}
\end{column}
\end{columns}
\begin{itemize}
\item Four body $\PB$ decay complementary to three body decay\newline{\footnotesize{ (\href{http://arxiv.org/abs/1108.6009}{\texttt{arXiv:1108.6009}})}}
%\item Constraints predict $\mathcal{B}(\PB\to\PD\ell\ell)<10^{-6}$
\item $m_4=m(\Ppiplus\Pmuon)$
\item[+] enhanced by $\PW$ couplings
\item[-] smaller mass range accessible ($\unit{260}{\MeV}<m_4<\unit{3.3}{\GeV}$)
\item first performed at LHCb
\end{itemize}
\textref{M.Chrz\k{a}szcz 2013}
\end{frame}
\begin{frame}
\frametitle{$\PBminus\to\PDzero \Ppiplus\Pmuon\Pmuon$}
\begin{columns}
\column{2.5in}
\includegraphics[scale=0.27]{./UpperThreeBody}
\newline \includegraphics[scale=0.27]{./MassFitD0}
\column{2.5in}
\includegraphics[scale=0.28]{vmu4mod.pdf}
\hspace{.1\textwidth} $\mathcal{B}(\PBminus\to\PDzero\Ppiplus\Pmuon\Pmuon)<1.5\times 10^{-6}$ @$95\,\%$ CL \footnote{LHCb, CERN-PH-EP-2012-006, \\ \href{http://arxiv.org/abs/1201.5600}{\texttt{arXiv:1201.5600}}}
\end{columns}
\textref{M.Chrz\k{a}szcz 2013}
\end{frame}
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% johan %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
\begin{frame}
\frametitle{Summary on LNV in $\PB$ decays}
\vspace{0.5cm}
\begin{columns}
\begin{column}{.65\textwidth}
\begin{footnotesize}
\begin{tabular}{lclr}
channel & limit & & \\\hline
$\mathcal{B}(\PBminus\to\Ppi^{+}\Pelectron\Pelectron) $ & $<2.3\times 10^{-8}$ & @$90\,\%$ CL &\includegraphics[height=.25cm]{babar}\footnote{BaBar,\href{http://link.aps.org/doi/10.1103/PhysRevD.85.071103}{Phys.\ Rev.\ D \textbf{85}, 071103} (2012)\label{babarB}}\\
$\mathcal{B}(\PBminus\to\PK^{+}\Pelectron\Pelectron) $ & $<3.0\times 10^{-8}$ & @$90\,\%$ CL &\includegraphics[height=.25cm]{babar}\footnotesize{$^{\text{\ref{babarB}}}$}\\
$\mathcal{B}(\PBminus\to\PK^{*+}\Pelectron\Pelectron) $ & $<2.8\times 10^{-6}$ & @$90\,\%$ CL & \includegraphics[height=.25cm]{cleo}\footnote{CLEO, \href{http://link.aps.org/doi/10.1103/PhysRevD.65.111102}{Phys.\ Rev.\ D \textbf{65}, 111102} (2002)\label{cleolnv}}\\
$\mathcal{B}(\PBminus\to\Prho^{+}\Pelectron\Pelectron) $ & $<2.6\times 10^{-6}$ & @$90\,\%$ CL & \includegraphics[height=.25cm]{cleo}\footnotesize{$^{\text{\ref{cleolnv}}}$}\\
$\mathcal{B}(\PBminus\to\PD^{+}\Pelectron\Pelectron) $ & $<2.6\times 10^{-6}$ & @$90\,\%$ CL & \includegraphics[height=.25cm]{belle2-logo}\footnote{Belle, \href{http://link.aps.org/doi/10.1103/PhysRevD.84.071106}{Phys.\ Rev.\ D \textbf{84}, 071106(R)}, (2011)\label{bellelnv}}\\
$\mathcal{B}(\PBminus\to\PD^{+}\Pelectron\Pmuon) $ & $<1.8\times 10^{-6}$ & @$90\,\%$ CL & \includegraphics[height=.25cm]{belle2-logo}\footnotesize{$^{\text{\ref{bellelnv}}}$}\\
$\mathcal{B}(\PBminus\to\Ppi^{+}\Pmuon\Pmuon)$ & $<1.3\times 10^{-8}$ & @$95\,\%$ CL & \includegraphics[height=.25cm]{pic/LHCb_logo.jpg}\footnote{LHCb, CERN-PH-EP-2012-006, \href{http://arxiv.org/abs/1201.5600}{\texttt{arXiv:1201.5600}} (2012)\label{xxxxx}} \\
$\mathcal{B}(\PBminus\to\PK^{+}\Pmuon\Pmuon) $ & $<5.4\times 10^{-7}$ & @$95\,\%$ CL &\includegraphics[height=.25cm]{pic/LHCb_logo.jpg}\footnote{LHCb, \href{http://link.aps.org/doi/10.1103/PhysRevLett.108.101601}{Phys.\ Rev.\ Lett.\ 108 101601} (2012)} \\
%$\mathcal{B}(\PBminus\to\PK^{*+}\Pmuon\Pmuon) $ & $<4.4\times 10^{-6}$ & @$90\,\%$ CL & \includegraphics[height=.25cm]{cleo}\footnotesize{$^{\text{\ref{cleolnv}}}$}\\
%$\mathcal{B}(\PBminus\to\Prho^{+}\Pmuon\Pmuon) $ & $<5.0\times 10^{-6}$ & @$90\,\%$ CL & \footnotesize{$^{\text{\ref{cleolnv}}}$}\\
$\mathcal{B}(\PBminus\to\PD^{+}\Pmuon\Pmuon) $ & $<6.9\times 10^{-7}$ & @$95\,\%$ CL & \includegraphics[height=.25cm]{pic/LHCb_logo.jpg}\footnotesize{$^{\text{\ref{xxxxx}}}$}\\
$\mathcal{B}(\PBminus\to\PD^{*+}\Pmuon\Pmuon)$ & $<2.4\times 10^{-6}$ & @$95\,\%$ CL & \includegraphics[height=.25cm]{pic/LHCb_logo.jpg}\footnotesize{$^{\text{\ref{xxxxx}}}$}\\
$\mathcal{B}(\PBminus\to\PDs^{+}\Pmuon\Pmuon)$ & $<5.8\times 10^{-7}$ & @$95\,\%$ CL & \includegraphics[height=.25cm]{pic/LHCb_logo.jpg}\footnotesize{$^{\text{\ref{xxxxx}}}$}\\
$\mathcal{B}(\PBminus\to\PDzero\Ppiminus\Pmuon\Pmuon)$ & $<1.5\times 10^{-6}$ & @$95\,\%$ CL & \includegraphics[height=.25cm]{pic/LHCb_logo.jpg}\footnotesize{$^{\text{\ref{xxxxx}}}$}\\
\hline
\end{tabular} %pic/LHCb_logo.jpg
\end{footnotesize}
\end{column}
\end{columns}
\textref{M.Chrz\k{a}szcz 2013}
\end{frame}
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%\section{Lepton Flavour Violation}
\section{$\tau$ decays}
\begin{frame}\frametitle{$\tau$ decays}
\begin{center}
%{\Huge{$\tau$ decays}}
{~}
\begin{block}{}
\circled{1} $\Ptauon\to\Pmuon\Pmuon\APmuon$ \\
\circled{2} $\Ptauon\to\APproton\Pmuon\APmuon$, $\Ptauon\to\Pproton\Pmuon\Pmuon$
\end{block}
\end{center}
\textref{M.Chrz\k{a}szcz 2013}
\end{frame}
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
\subsection{$\Ptauon\to\Pmuon\Pmuon\APmuon$}
\begin{frame}\frametitle{Curent status}
\frametitle{LFV in $\Ptauon$ sector}%$\PBminus\to h^{+}\ell^{-}\ell^{-}$}
\only<1>{
\begin{columns}
\column{3.5in}
\begin{center} \Large{$\Ptau \to \mu \mu \mu$} \end{center}
\includegraphics[scale=0.3]{pic/tau23mu.png}
\column{1.3in}
\includegraphics[height=2.8in]{pic/nu_mixing.png}
\end{columns}
}
\only<2>{
\begin{center}
\begin{block}{}
\circled{1} In SM small $\mathcal{B}( \Ptauon\to\Pmuon\Pmuon\APmuon ) \sim 10^{-50} $ \\
\circled{2} NP can enhance $\mathcal{B}$. \\
\circled{3} Nature still hides $\Ptauon\to\Pmuon\Pmuon\APmuon$ from us.\\
\circled{4} Current limits:
\begin{center}
\begin{tabular}{| l | l |}
\hline Experiment & $90\%$ CL limit \\
\hline
\hline BaBar & $3.3 \times 10^{-8}$ \\
\hline Belle & $2.1 \times 10^{-8}$ \\
\hline
\end{tabular}
\end{center}
\circled{5} Can a hadron collider change the picture? \\
\end{block}
\end{center}
}
\textref{M.Chrz\k{a}szcz 2013}
\end{frame}
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
\begin{frame}
\frametitle{Strategy}
\begin{columns}
\begin{column}{.5\textwidth}
\begin{itemize}
\item Loose cut based selection
\item Classification in 3D space:
\begin{itemize}
\item invariant mass
\item decay topology\newline (multivariate)
\item particle identification\newline (multivariate)
\end{itemize}
\item Classifier trained on simulation
\item Calibration with control channel
\item Normalization with $\PDs \to \phi(\mu \mu) \pi$
\item CLs method to extract the result
\end{itemize}
\end{column}
\begin{column}{.5\textwidth}
\begin{block}{Signal \& Calibration \& Background channel}
\includegraphics[width=.7\textwidth]{topos}
\newline
\includegraphics[width=.7\textwidth]{topob2.png}
\end{block}
\end{column}
\end{columns}
\textref{M.Chrz\k{a}szcz 2013}
\end{frame}
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%5
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% \underbrace{•}
\begin{frame}
\frametitle{Signal likelihoods}
\begin{columns}
\begin{column}{.8\textwidth}
\begin{block}{combined signal distribution}
\begin{itemize}
\item events distributed over 25 likelihood bins
\item background estimate from mass sidebands
\end{itemize}
\end{block}
Signal efficiency in 3-BODY BDT vs PID BDT plane.
\end{column}
\begin{column}{.2\textwidth}
\end{column}
\end{columns}
\begin{columns}
\begin{column}{.65\textwidth}
%\only<1>{\includegraphics[width=\textwidth]{./2d-data2.pdf}}
\only{\includegraphics[width=\textwidth]{./2d-data2_both.pdf}}
\end{column}
\begin{column}{.35\textwidth}
\begin{itemize}
\item \textcolor{red}{11\,\% signal efficiency}
\item \textcolor{blue}{21\,\% signal efficiency}
\item for illustration:\newline high likelihood range shown
\end{itemize}
\end{column}
\end{columns}
\textref{M.Chrz\k{a}szcz 2013}
\end{frame}
\begin{frame}
\frametitle{Observed events}
\begin{columns}
\begin{column}{.5\textwidth}
%four best bins
\includegraphics[width=.98\textwidth]{./Fig4a_1stbin3.pdf}
\end{column}
\begin{column}{.5\textwidth}
%four best bins
\includegraphics[width=.98\textwidth]{./Fig4b_2ndbin3.pdf}
\end{column}
\end{columns}
\begin{columns}
\begin{column}{.37\textwidth}
11\,\% of the signal
0.03\,\% of the background
\end{column}
\begin{column}{.13\textwidth}
\includegraphics[width=\textwidth]{./2d-data2_1st}
\end{column}
\begin{column}{.37\textwidth}
21\,\% of the signal
0.14\,\% of the background
\end{column}
\begin{column}{.13\textwidth}
\includegraphics[width=\textwidth]{./2d-data2_2nd}
\end{column}
\end{columns}
%\end{column}
%\begin{column}{.5\textwidth}
%%next four best bins
%\includegraphics[width=.98\textwidth]{./Fig4b_2ndbin.pdf}
%\begin{columns}
%\begin{column}{.9\textwidth}
%21\,\% of the signal
%
%0.14\,\% of the background
%\end{column}
%\begin{column}{.1\textwidth}
%\includegraphics[width=\textwidth]{./2d-data2_2nd}
%\end{column}
%\end{columns}
%\end{column}
%\end{columns}
{~}
\begin{columns}
\begin{column}{.65\textwidth}
\begin{description}
\item[\textcolor{red}{red dashed}] combinatorial background
\item[\textcolor{green}{green}] $\PDs^{+}\to\Peta(\Pmuon\APmuon\Pphoton)\APmuon\Pnum$
\item[\textcolor{blue}{blue}] combined background
\end{description}
\end{column}
\begin{column}{.35\textwidth}
\includegraphics[width=.26\textwidth]{pic/LHCb_logo.jpg}
\hspace{.5em}$\unit{1}{\reciprocal\femtobarn}$
\texttt{LHCb-CONF-}\texttt{2012-015}
\end{column}
\end{columns}
%no excess observed
\textref{M.Chrz\k{a}szcz 2013}
\end{frame}
\begin{frame}
\frametitle{Extracted upper limit}
\begin{columns}\begin{column}{.8\textwidth}
\vspace{1.0cm}
\begin{tabular}{|l|l|l|l|}
\hline
& \text{observed} & \text{expected} & \text{CL} \\
\hline
$\mathcal{B}(\Ptau\to\Pmu\Pmu\Pmu)$ & $6.3\times 10 ^{-8}$ & $8.2\times 10^{-8}$ & $90\%$\\
& $ 7.8\times 10 ^{-8}$ & $9.9\times 10^{-8}$ & $95\%$ \\
\hline
\end{tabular}
\end{column}
\begin{column}{.2\textwidth}
\includegraphics[width=.46\textwidth]{pic/LHCb_logo.jpg}
\hspace{.5em}$\unit{1}{\reciprocal\femtobarn}$
\texttt{LHCb-CONF-} \texttt{2012-015}
\end{column}
\end{columns}
\begin{columns}
\begin{column}{.65\textwidth}
\includegraphics[width=\textwidth]{./Fig5_withbkg3.pdf}
\end{column}
\begin{column}{.04\textwidth}
\end{column}
\begin{column}{.35\textwidth}
\end{column}
\end{columns}
\textref{M.Chrz\k{a}szcz 2013}
\end{frame}
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% tau2pmumu
\subsection{$\Ptauon\to\APproton\Pmuon\APmuon$, $\Ptauon\to\Pproton\Pmuon\Pmuon$}
\begin{frame}\frametitle{Curent status}
\frametitle{LNV \& BNV in $\Ptauon$ sector}%$\PBminus\to h^{+}\ell^{-}\ell^{-}$}
\only<1>{
\Large{$\Ptauon\to\APproton\Pmuon\APmuon$}
\newline \Large{$\Ptauon\to\Pproton\Pmuon\Pmuon$}
}
\only<2>{
\begin{block}
\circled{1} Search for baryon number violation processes so far unsuccessful, but must have occurred in the early universe \\
\circled{2} Decay fall into $\vert B -L \vert =0$ category, which is predicted by many NP models.\\
\circled{3} Similar decays $\Ptauon \to \Lambda h^{-}$, previous studied in $\mathcal{B}$ factories. \\
\circled{4} Two possible decay and new physics modes: $\Ptauon\to\APproton\Pmuon\APmuon$, $\Ptauon\to\Pproton\Pmuon\Pmuon$. \\
\circled{5} Analysis adopted from $\Ptauon\to\Pmuon\Pmuon\APmuon$ \\
\end{block}
}
\textref{M.Chrz\k{a}szcz 2013}
\end{frame}
\begin{frame}\frametitle{Limits on \textcolor{green}{$\Ptauon\to\APproton\Pmuon\APmuon$} and \textcolor{red}{$\Ptauon\to\Pproton\Pmuon\Pmuon$}}
\begin{center}
\colorbox{green}{\includegraphics[scale=0.22]{OS_banan_un}}
\colorbox{red}{\includegraphics[scale=0.22]{SS_banan_un}}
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
\begin{tabular}{|l|l|l|}
\hline
CL & \text{Observed} & \text{Expected} \\
\hline
\hline
$90\%$ & \textcolor{green}{$3.4 \times 10^{-7}$} \textcolor{red}{ $4.6 \times 10^{-7}$} & \textcolor{green}{$4.7 \times 10^{-7}$} \textcolor{red}{ $5.4 \times 10^{-7}$} \\
\hline
$95\%$ & \textcolor{green}{$4.5 \times 10^{-7}$} \textcolor{red}{ $6.0 \times 10^{-7}$} & \textcolor{green}{$5.9 \times 10^{-7}$} \textcolor{red}{ $6.9 \times 10^{-7}$} \\
\hline
\end{tabular}
\end{center}
\Large First time measured!!
\textref{M.Chrz\k{a}szcz 2013}
\end{frame}
\section{Higgs Penguins}
\begin{frame}\frametitle{Purelly leptonic decay}
\begin{center}
\includegraphics[scale=0.25]{pic/higgs.png}
\end{center}
\textref{M.Chrz\k{a}szcz 2013}
\end{frame}
\subsection{$\PKshort \to \Pmu \Pmu$}
\begin{frame}\frametitle{$\PKshort \to \Pmu \Pmu$}
\begin{columns}
\column{3.12in}
\begin{small}
\begin{itemize}
\item $\mathcal{B}(\PKshort \to \Pmu \Pmu)_{SM} = (5.0 \pm 1.5) \times 10^{-12}$
\item Good mass resolution enables to separate $\PKshort \to \Ppi \Ppi$ MisID peak.
\item Previous limit $\mathcal{B} < 3.2 \times 10^{-7}$ , PLB44 (1973) 217.
\item BDT used, trained and callibrated on data.
\item Background estimated from upper side bands.
\item Normalization $\PKshort \to \Ppi \Ppi$. \\
\item New LIMIT: $\mathcal{B} < 9 \times 10^{-9}$
\includegraphics[scale=0.165]{pic/ks3.png}
\end{itemize}
\end{small}
\column{2.in}
\begin{center}
\includegraphics[scale=0.2]{pic/LHCb_logo.jpg}
\hspace{.5em}$\unit{1}{\reciprocal\femtobarn}$ \\
\texttt{arXiv} \texttt{:1209.4029}
\end{center}
\includegraphics[scale=0.16]{pic/ks.png} \\
\includegraphics[scale=0.17]{pic/ks2.png}
\end{columns}
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\end{frame}
\subsection{$\PDzero \to \Pmu \Pmu$}
\begin{frame}\frametitle{$\PDzero \to \Pmu \Pmu$}
\begin{columns}
\column{3.in}
\begin{itemize}
\item BDT used, Good separation between c and b decays.
\item Background estimated from upper side bands.
\item Normalization $\PDzero \to \Ppi \Ppi$, CLs method for the limit. \\
\item 2D fit to $m(\PDzero)$ and $m(\PDzero^\ast -\PDzero)$
\item Limit: $1.3 \times 10^{-8}$ \@ 90\% CL.
\end{itemize}
\column{2.in}
\begin{center}
\includegraphics[scale=0.2]{pic/LHCb_logo.jpg}
\hspace{.5em}$\unit{0.9}{\reciprocal\femtobarn}$ \\
\texttt{LHCb-CONF} \texttt{-2012-005} \\
\end{center}
\includegraphics[scale=0.45]{pic/d0.png} \\
\includegraphics[scale=0.32]{pic/d01.png}
\end{columns}
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\end{frame}
\subsection{$\PBs \to \mu \mu$, $\PBzero \to \mu \mu$}
\begin{frame}\frametitle{A 25 year journey}
\only<1>{
\includegraphics[scale=0.29]{pic/25.png}
}
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\end{frame}
\begin{frame}\frametitle{Datasets}
\only<1>{
\begin{columns}
\column{2.6in}
\begin{enumerate}
\item Analyses done using 2011 and 2012 data.
\begin{itemize}
\item 2011: $1.0 fb^{-1}$ at $\textit{7 TeV}$
\item 2012: $1.1 fb^{-1}$ at $\textit{8 TeV}$
\end{itemize}
\item Previous analyses done with 2011 data only.
\item Published PRL108(2012)231801
\item Results:
\begin{itemize}
\item $\mathcal{B}(\PBs \to \mu \mu) = 4.9 \times 10^{-9}$
\item $\mathcal{B}(\PBzero \to \mu \mu) = 1.0 \times 10^{-10}$
\end{itemize}
\item New analysis implements improvements.
\end{enumerate}
\column{2.6in}
\includegraphics[scale=0.25]{pic/lumi.png} \\
%\includegraphics[scale=0.25]{pic/bjpsik.png}
\end{columns}
}
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\end{frame}
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%5
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%5
\begin{frame}\frametitle{Analysis I}
\only<1>{
\begin{columns}
\column{2.6in}
\begin{enumerate}
\item Selection
\begin{itemize}
\item Loose selection, for reducing data size.
\item Similar for control channels.
\end{itemize}
\item Normalization
\begin{itemize}
\item Makes result more stable.
\item Channels: $B \to j / \psi K$ and $B \to h h$
\end{itemize}
\item Signal likelihoods
\begin{itemize}
\item Same as for 2011 analysis.
\end{itemize}
\item Invariant mass resolutions:
\begin{itemize}
\item $\sigma(\PBs \to \mu \mu) = 25.04 \pm 0.4$
\item $\sigma(\PBzero \to \mu \mu) = 24.63 \pm 0.38$
\item comparable to 2011.
\end{itemize}
\end{enumerate}
\column{2.6in}
\includegraphics[scale=0.25]{pic/bjpsik.png}
\begin{itemize}
\item Callibration channel \& yield.
\item Main bck $bb \to \mu \mu \gamma$
\item Number of expected bck extrapolated from sidebands.
\item Improved description of peaking background.
\end{itemize}
\end{columns}
}
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\end{frame}
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%5
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%5
\begin{frame}\frametitle{Peaking background}
\only<1>{
\begin{columns}
\column{2.6in}
\begin{enumerate}
\item Improvement of combinatorial background interpolation by inclusion of exclusive decays in the fit.
\begin{itemize}
\item Only $\PBs \to h h$ in the mass window (same as 2011).
\item Mass shapes different from exponential
\begin{itemize}
\item $\PB^0 \to \pi \mu \nu$
\item $\PB^{+} \to \pi^{+} \mu \mu$, $\PB^{0} \to \pi^{0} \mu \mu$
\end{itemize}
\item Negligible contribution to signal window.
\end{itemize}
\item Exclusive backgrounds parameters used in fit as priors.
\begin{itemize}
\item Mass shape from MC
\item Normalized to $B^{+} \to J / \psi K^{+} $
\end{itemize}
\end{enumerate}
\column{2.6in}
\includegraphics[scale=0.25]{pic/bs2mumu_bck.png}
\end{columns}
}
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\end{frame}
\begin{frame}\frametitle{Results}
\only<1>{
\begin{columns}
\column{2.6in}
\begin{itemize}
\item RESULT:\\
\textcolor{green}{$\mathcal{B}(\PBs \to \mu \mu) = 3.2 ^{+1.5} _{-1.2} \times 10^{-9}$}
\textcolor{green}{$\mathcal{B}(\PBzero \to \mu \mu) < 9.4 \times 10^{-10}$} \\
SM predictions:
\textcolor{red}{$\mathcal{B}(\PBs \to \mu \mu) = 3.54 \pm 0.3 \times 10^{-9}$} \\
Buras, Isidori: arXiv:1208.0934 \\
\textcolor{red}{$\mathcal{B}(\PBzero \to \mu \mu) = 0.1 \pm 0.01 \times 10^{-9}$} \\
Buras, Isidori: arXiv:1012.1447 \\
\item $3.5 \sigma$ significance.
\item Double sided limit \@ 95\% CL.\\
$1.1 \times 10^{-9} < \mathcal{B}(\PBs \to \mu \mu) < 6.4 \times 10^{-9}$
\item FIRST EVIDENCE OF SIGNAL
\end{itemize}
\column{2.6in}
\begin{center}
\includegraphics[scale=0.2]{pic/LHCb_logo.jpg}
\hspace{.5em}$\unit{2.1}{\reciprocal\femtobarn}$ \\
\texttt{arXiv} \texttt{:1211.2674}
\includegraphics[scale=0.21]{pic/bs2mumu.png} \\
\includegraphics[scale=0.14]{pic/ban.png} \\
\end{center}
\end{columns}
}
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\end{frame}
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
\begin{frame}\frametitle{Summary}
{~}
\begin{block}{}
\circled{1} Worlds best limits for $\PBzero \to \mu \mu$, $\PDzero \to \mu \mu$, $\PKshort \to \mu \mu$ \\
\circled{2} Strongest constrains Majorana neutrino coupling. \\
\circled{3} First searches for LFV in hadron coliders. \\
\circled{4} First search for $\mathcal{B}(\tau \to \Pproton \mu \mu)$ . \\
\circled{5} First Evidence of $\PBs \to \mu \mu$, after 25 years of search. \\
\circled{5} Stay tuned for new results! \\
\end{block}
\begin{center} \center Thank you for your attention. \end{center}
\vspace{1.1cm}
\begin{small} Work partially funded by the Polish Ministry of Science and Higher Education under the "Diamond Grant" \end{small}
%\center \Large Thank you for attention.
\textref{M.Chrz\k{a}szcz 2013}
\end{frame}
\begin{frame}
\center \Huge{Backup Slides}
%\center \Large Thank you for attention.
\textref{M.Chrz\k{a}szcz 2013}
\end{frame}
\end{document}
mchrzasz