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- % \usepackage[amssymb]{SIunits}
- %\usepackage{natbib}
- \usepackage{amssymb}
- \usepackage{hepparticles}
- \usepackage{hepnicenames}
- \usepackage{hepunits}
- \usepackage{tikz}
- %\usetikzlibrary{trees}
- %\usetikzlibrary{decorations.pathmorphing}
- %\usetikzlibrary{decorations.markings}
- \usetikzlibrary{arrows}
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- %\usetikzlibrary{positioning}
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-
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- text width=4.5em, text badly centered, node distance=3cm, inner sep=0pt]
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-
-
- \renewcommand{\PKs}{{\HepParticle{K}{S}{}\xspace}}
-
-
- \title[LFV and LNV]{Searches for Lepton Flavour Violation\newline and Lepton Number Violation in Hadron Decays}
- \titlegraphic{%\begin{center}{~~~~~~~~~~~}Flavour Physics and CP Violation 2012
- %\newline
-
- \includegraphics[width=2.5cm]{../bmbf_engl.jpg}\hspace{7cm}\includegraphics[width=2cm]{fpcp_logo}
- %\end{center}
- }
- %\subtitle{T 60.1}
-
- % \subtitle{}
- \author[Paul Seyfert]{Paul Seyfert\newline{\footnotesize{ on behalf of the LHCb collaboration\newline including results from the B factories}}}
- \institute[Heidelberg University]{Heidelberg University}
- \date[FPCP 2012]{Flavour Physics and CP Violation 2012}
- \subject{}
-
- % \pgfdeclareimage[height=0.5cm]{university-logo}{3Ddoublewell}
- % \pgfdeclareimage[width=1.2cm]{university-logo}{weak}
- % \logo{\pgfuseimage{university-logo}}
- % \pgfdeclareimage[width=\paperwidth,height=\paperheight]{hbild}{condensate}
- % \usebackgroundtemplate{\pgfuseimage{hbild}}
-
- \newcommand{\myhref}[2]{\href{#1}{\textcolor{blue}{#2}}}
- \begin{document}
- \begin{frame}
- \titlepage
- \end{frame}
-
- \begin{frame}
- \frametitle{Outline}
- \tableofcontents
- \end{frame}
-
- \begin{frame}
- \begin{center}
- {\Huge{Lepton Number Violation}}
-
- {~}
-
- \begin{itemize}
- \item {$\PDminus\to\Ppiplus/\PKplus\ell^{-}\ell^{-}$}
- \item {$\PBminus\to h^{+}\ell^{-}\ell^{-}$}
- \item {$\PBminus\to\PDzero\Ppiplus\Pmuon\Pmuon$}
- \end{itemize}
-
- \end{center}
- \end{frame}
- %\section{LNV in $\PBminus/\PDminus\to h^{+}\Plepton^{-}\Plepton^{-}$} %LHCb LHCb (Belle ell) (BaBar ell other)
- \section{Lepton Number Violation}
- \begin{frame}{Lepton Number Violation}
- \begin{columns}
- \begin{column}{.75\textwidth}
- \begin{itemize}
- \item Lepton number is conserved in the Standard Model
- \item Lepton number violation introduced in many New Physics models, e.\,g.:
- {\footnotesize{
- \begin{itemize}
- \item 4$^{\rm{th}}$ quark generation\newline (\myhref{http://arxiv.org/abs/1106.0343}{\texttt{arXiv:hep-ph/1106.0343}})
- \item $SO(10)$ SUSY GUT\newline (\myhref{http://arxiv.org/abs/hep-ph/9501298}{\texttt{arXiv:hep-ph/9501298}})
- \item exotic Higgs\newline (A.\ Zee, \myhref{http://dx.doi.org/10.1016/0370-2693(80)90349-4}{Phys.\ Lett.\ B93, 389 (1980)})
- \end{itemize}
- }}
- \item Majorana neutrinos violate Lepton Number\newline
- classic search: neutrinoless double beta-decay ($\rightarrow$\myhref{http://hep.ustc.edu.cn/indico/contributionDisplay.py?contribId=36&confId=7}{Dongming Mei's talk})
- \item Similar fundamental process with mesons
- \end{itemize}
- \end{column}
- \begin{column}{.25\textwidth}
- \includegraphics[width=\textwidth]{double}
- \end{column}
- \end{columns}
- \end{frame}
-
- \begin{frame}[t]
- \frametitle{LNV in meson decays}
- \begin{columns}\begin{column}{.5\textwidth}
- {\Large{$\PDplus\to\Ppiminus\APmuon\APmuon$}}
-
- \includegraphics[width=\textwidth]{./D-Majorana}
- \begin{itemize}
- \item resonant production in accessible mass range
- \item rates depend on Majorana neutrino--lepton coupling $|V_{\mu 4}|$
- \newline {\footnotesize{(e.g.\ \myhref{http://arxiv.org/abs/0901.3589}{arXiv:0901.3589)}}}
- \item $m_4 = m_{\Plepton^{-},\Ppiplus}$
- \end{itemize}
- \end{column}
- \begin{column}{.5\textwidth}
- \invisible<1>{
- \includegraphics[width=.85\textwidth]{./exclusion}
-
- {\footnotesize{\myhref{http://arxiv.org/abs/0901.3589}{\texttt{arXiv:0901.3589}}}}
- \begin{itemize}
- \item strong constraints from $\PK$ decays at low $m_4$
- \item high mass region accessible in $\PD$ and $\PB$ decays
- \end{itemize}
- }
- \end{column}
- \end{columns}
- \end{frame}
-
- \begin{frame}[t]
- \frametitle{LNV in meson decays}
- \begin{columns}\begin{column}{.4\textwidth}
- {\Large{$\PDplus\to\Ppiminus\APmuon\APmuon$}}
-
- \includegraphics[width=\textwidth]{./D-Majorana}
- {\footnotesize{\begin{itemize}
- \item resonant production in accessible mass range
- \item rates depend on Majorana neutrino--lepton coupling $|V_{\mu 4}|$
- \newline {\footnotesize{(e.g.\ \myhref{http://arxiv.org/abs/0901.3589}{arXiv:0901.3589)}}}
- \item $m_4 = m_{\Plepton^{-},\Ppiplus}$
- \end{itemize}}}
- \end{column}
- \begin{column}{.6\textwidth}
- {\includegraphics[width=.85\textwidth]{./exclusion}
-
- Status of 2009
-
- {\footnotesize{\myhref{http://arxiv.org/abs/0901.3589}{\texttt{arXiv:0901.3589}}}}
- %\begin{itemize}
- %\item strong constraints from $\PK$ decays at low $m_4$
- %\item high mass region accessible in $\PD$ and $\PB$ decays
- %\end{itemize}
- }
- \end{column}
- \end{columns}
- \end{frame}
-
-
-
- \subsection{$\PDminus\to\Ppiplus/\PKplus\ell^{-}\ell^{-}$}
- \begin{frame}
- \frametitle{limits on LNV in charm decays}
- \begin{columns}
- {\begin{column}{.46\textwidth}
- %{\Large{$\PDplus\to h^{-}\ell^{+}\ell^{+}$}}
- {\Large{charm decays}}
- \begin{itemize}
- \item latest limits from BaBar% using $\unit{384}{\reciprocal\femtobarn}$
- %\item normalisation relative to $\PDs^{+}\to\Pphi(\PK\PK)\Ppi^{+}$
- %\item $\APelectron\Pelectron\to\PD\APD$
- \item includes Lepton Number and Flavour Violation
- \item comprehensive list of $\PDplus, \PDs^{+}, $ and $\Lambda_c^{+}$ decays
- \item<2> best limit for most channels
- \end{itemize}
- \only<1>{\includegraphics[width=.4\textwidth]{./babar}}
- %\only<2>{
- %{~}
- %
- %\includegraphics[width=\textwidth]{./DLNVpeaks}}
-
-
- %\only<2>{\begin{alertblock}{background sources}
- %\begin{itemize}
- %\item combinatorics
- %\item QED events
- %\item semileptonic decays
- %\item $\Ppizero, \Pphi$ resonance
- %\end{itemize}
- %\end{alertblock}}
- \end{column}
- \begin{column}{.5\textwidth}
- %\only<2>{
- %\begin{block}{Strategy}
- %\begin{itemize}
- %\item exclude semileptonic charm production
- %\item[$\Rightarrow$] reject most combinatorics
- %\item require 5 tracks and electron veto on hadron
- %\item[$\Rightarrow$] rejects QED background
- %\item vertex requirements reject semileptonic background
- %\end{itemize}
- %\end{block}
- %\begin{exampleblock}{Normalisation}
- %\begin{itemize}
- %\item Measure yield wrt.\ $\PD\to\Pphi(\PKplus\PKminus)\Ppi$
- %\item[$\Rightarrow$] most systematics cancel
- %\item PID as remaining systematics
- %\end{itemize}
- %\end{exampleblock}
- %}
- \only<1>{\includegraphics[width=\textwidth]{./babarcharmtableLNV}
-
- {\footnotesize{\myhref{http://link.aps.org/doi/10.1103/PhysRevD.84.072006}{Phys.\ Rev.\ D \textbf{84}, 072006 (2011)}}}}
- \only<2>{\includegraphics[width=\textwidth]{./lnvhfag.pdf}}
- \end{column}}
- \end{columns}
- %\only<2>{
- %{~}
- %
- %{~}
- %
- %{\footnotesize{
- %$\mathcal{B}(\PDplus\to\Ppiminus\APelectron\APelectron)<1.1\times 10^{-6}$ by CLEO (Phys.\ Rev.\ D \textbf{82}, 092007 (2010))}}}
- \end{frame}
-
-
-
- \subsection{qedewqdqewd}
-
- \begin{frame}%[t]
- \frametitle{LNV in bottom decays}%$\PBminus\to h^{+}\ell^{-}\ell^{-}$}
- \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.\ \myhref{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 $\PB\to\PD$
- %\end{itemize}
- \end{exampleblock}
- \end{column}
- }
- \end{columns}
- }
-
- \end{frame}
-
-
- \begin{frame}{search for Majorana neutrinos at LHCb}
- \begin{columns}
- \begin{column}{.8\textwidth}
- \begin{itemize}
- \item searches at B factories in \myhref{http://hep.ustc.edu.cn/indico/contributionDisplay.py?contribId=4&confId=7}{Liang Sun's talk}
- \item LHCb: search for \begin{itemize}\item $\PBminus\to\Ppiplus\Pmuon\Pmuon$\item $\PBminus\to\PDplus\Pmuon\Pmuon$\item $\PBminus\to\PDs^{+}\Pmuon\Pmuon$\item $\PBminus\to\PD^{*+}\Pmuon\Pmuon$\end{itemize}
- %\item $\unit{0.41}{\reciprocal\femtobarn}$ analysed
- \item consider topology in reconstruction
- \begin{itemize}
- \item allow for flight distance for on-shell neutrinos
- \item common vertex for virtual neutrinos
- \end{itemize}
- \end{itemize}
- \end{column}
- \begin{column}{.2\textwidth}
- \includegraphics[width=2cm]{../lhcb-logo}
- \end{column}
- \end{columns}
- \begin{columns}
- \begin{column}{.42\textwidth}
- \includegraphics[width=.7\textwidth]{reco}
- \end{column}
- \begin{column}{.52\textwidth}
- \includegraphics[width=.7\textwidth]{reco2}
- \end{column}
- \end{columns}
- \end{frame}
-
-
-
-
- \begin{frame}[t]
- \frametitle{virtual Majorana neutrinos}
-
- %\begin{itemize}
- %\item best limits for $h = \PDplus, \PD^{*+}, \Ppiplus, \PDs$ from LHCb using $\unit{0.41}{\reciprocal\femtobarn}$ %, \PKplus
- %\item normalisation relative to $\PBplus\to\PKplus\PJpsi$ and $\PBplus\to\PKplus\Ppsi(2S)$
- %\end{itemize}
- \begin{columns}
- \only<1>{
- \begin{column}{.78\textwidth}
- \begin{block}{}
- %\begin{itemize}
- $\PBminus\to\PDplus\Pmuon\Pmuon\quad\quad\quad\quad\quad\quad\PBminus\to\PD^{*+}\Pmuon\Pmuon$
- %\end{itemize}
- \includegraphics[width=\textwidth]{./MassFitDp_.pdf}
- \end{block}
- \end{column}
- }
-
-
- \end{columns}
- \only<1>{{
- {~}
-
-
- $\mathcal{B}(\PBminus\to\PDplus\Pmuon\Pmuon)<6.9\times 10^{-7} \quad \quad \mathcal{B}(\PBminus\to\PD^{*+}\Pmuon\Pmuon)<2.4\times 10^{-6}$
- }}
-
-
- {@ 95\,\% CL}\hspace{.35\textwidth}
- {@ 95\,\% CL}
-
- {~}
-
- \begin{columns}
- \begin{column}{6.5cm}
- \end{column}
- \begin{column}{1.5cm}
- \includegraphics[width=\textwidth]{../lhcb-logo}
- \end{column}
- \begin{column}{4cm}
- \hspace{.4cm}
-
- $\unit{0.41}{\reciprocal\femtobarn}$
-
- {\footnotesize{\myhref{http://arxiv.org/abs/1201.5600}{\texttt{arXiv:1201.5600}}}}
-
- \end{column}
- \end{columns}
-
- %LHCb, arXiv:1201.5600
- %\includegraphics[width=.5\textwidth]{UpperAll}
- \end{frame}
-
-
- \begin{frame}[t]
- \frametitle{on-shell Majorana neutrinos}
-
- \begin{itemize}
- %\item best limits for $h = \PDplus, \PD^{*+}, \Ppiplus, \PDs$ from LHCb using $\unit{0.41}{\reciprocal\femtobarn}$ %, \PKplus
- %\item normalisation relative to $\PBplus\to\PKplus\PJpsi$ and $\PBplus\to\PKplus\Ppsi(2S)$
- \item mis-identification rates from data with mass shape from simulation
- \end{itemize}
- \begin{columns}
-
- \only<1>{
- \begin{column}{.72\textwidth}
- \begin{block}{}
- $\PBminus\to\Ppiplus\Pmuon\Pmuon\quad\quad\quad\quad\PBminus\to\PDs^{+}\Pmuon\Pmuon$
- \only<1>{\includegraphics[width=.44\textwidth]{./MassFitPi2}\hspace{.04\textwidth}\includegraphics[width=.46\textwidth]{./MassFitDs_}}
- \end{block}
- \end{column}
- }
-
- \end{columns}
-
-
- \only<1>{{
- {~}
-
- assuming $\PBminus$ phase space decay:
-
- $\mathcal{B}(\PBminus\to\Ppiplus\Pmuon\Pmuon)<1.3\times 10^{-8} \quad \quad \mathcal{B}(\PBminus\to\PDs\Pmuon\Pmuon)<5.8\times 10^{-7}$
- }}
-
- {@ 95\,\% CL}\hspace{.35\textwidth}
- {@ 95\,\% CL}
- \begin{columns}
- \begin{column}{6.5cm}
- \end{column}
- \begin{column}{1.5cm}
- \includegraphics[width=\textwidth]{../lhcb-logo}
- \end{column}
- \begin{column}{4cm}
- \hspace{.4cm}
-
- $\unit{0.41}{\reciprocal\femtobarn}$
-
- {\footnotesize{\myhref{http://arxiv.org/abs/1201.5600}{\texttt{arXiv:1201.5600}}}}
-
- \end{column}
- \end{columns}
-
-
- %LHCb, arXiv:1201.5600
- %\includegraphics[width=.5\textwidth]{UpperAll}
- \end{frame}
-
-
- \begin{frame}
- \frametitle{implications on Majorana mass}
- \begin{exampleblock}{mass extraction}
- 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]{../lhcb-logo}
- \end{column}
- \begin{column}{4cm}
- \hspace{.4cm}
-
- $\unit{0.41}{\reciprocal\femtobarn}$
-
- {\footnotesize{\myhref{http://arxiv.org/abs/1201.5600}{\texttt{arXiv:1201.5600}}}}
-
- \end{column}
- \end{columns}
-
-
- \end{frame}
-
- \begin{frame}
- \frametitle{new bounds for on shell Majorana neutrinos}
- %LHCb starts to explore the region of $m_4>\unit{2}{\GeV}$
-
- %{~}
-
- %\only<2>{\includegraphics[width=.48\textwidth]{./constrain.pdf}\includegraphics[width=.48\textwidth]{./boundsUmu.pdf}}
- \begin{columns}
- \begin{column}{.4\textwidth}
- LHCb limit on $|V_{\mu 4}|$
-
- \includegraphics[width=.98\textwidth]{./constrain.pdf}
-
- {\includegraphics[width=1.2cm]{../lhcb-logo}~~{\footnotesize{\myhref{http://arxiv.org/abs/1201.5600}{\texttt{arXiv:1201.5600}}}}}
- \end{column}
- \begin{column}{.55\textwidth}
- Status of 2009
-
- \includegraphics[width=.98\textwidth]{./vmu4mod}
-
- {\footnotesize{\myhref{http://arxiv.org/abs/0901.3589}{\texttt{arXiv:0901.3589}}}}
- \end{column}
- \end{columns}
- \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{ (\myhref{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}
-
- \end{frame}
-
-
-
- \begin{frame}
- \frametitle{$\PBminus\to\PDzero \Ppiplus\Pmuon\Pmuon$}
-
- \includegraphics[width=.47\textwidth]{./MassFitD0}\includegraphics[width=.47\textwidth]{./UpperThreeBody}
-
- {~}
- \begin{columns}
- \begin{column}{.8\textwidth}
- \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, \myhref{http://arxiv.org/abs/1201.5600}{\texttt{arXiv:1201.5600}}}
- \smallskip
-
- \hspace{.1\textwidth} Less restrictive than $\PBminus\to\Ppiplus\Pmuon\Pmuon$ on $|V_{\mu 4}|^2$
- \end{column}
- \begin{column}{.2\textwidth}
- \includegraphics[width=1.3cm]{../lhcb-logo}
- \end{column}
- \end{columns}
- \end{frame}
-
-
-
- %\begin{frame}
- %\frametitle{Sensitivity to long lived Majorana neutrinos}
- %\begin{itemize}
- %\item analysis allows for neutrino flight distance
- %\item probes only Majorana neutrinos decaying inside the detector
- %\item sensitivity to lifetime provided
- %\end{itemize}
- %
- %{\footnotesize{
- %\begin{tabular}{p{.31\textwidth}p{.32\textwidth}p{.34\textwidth}}
- %a) $\PBminus\to\Ppiplus\Pmuon\Pmuon$&b) $\PBminus\to\PDs^{+}\Pmuon\Pmuon$&c) $\PBminus\to\PDzero\Ppiplus\Pmuon\Pmuon$\\
- %$\unit{250}{\MeV}<m_4<\unit{5}{\GeV}$&$\unit{2.1}{\GeV}<m_4<\unit{5.15}{\GeV}$&$\unit{260}{\MeV}<m_4<\unit{3.3}{\GeV}$
- %\end{tabular}}}
- %\includegraphics[width=\textwidth]{./Lifetime-eff}
- %
- %{~}
- %\begin{itemize}
- %\item sensitive to lifetimes $<10^{-10}\,\text{s}$
- %\item $\PBminus\to\PDzero\Ppiplus\Pmuon\Pmuon$ better sensitive to ``large'' lifetimes
- %\end{itemize}
- %
- %\end{frame}
-
- \begin{frame}
- \frametitle{Summary on LNV in $\PB$ decays}
-
- \begin{columns}
- \begin{column}{.65\textwidth}
- \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,\myhref{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, \myhref{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, \myhref{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]{../lhcb-logo}\footnote{LHCb, CERN-PH-EP-2012-006, \myhref{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]{../lhcb-logo}\footnote{LHCb, \myhref{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]{../lhcb-logo}\footnotesize{$^{\text{\ref{xxxxx}}}$}\\
- $\mathcal{B}(\PBminus\to\PD^{*+}\Pmuon\Pmuon)$ & $<2.4\times 10^{-6}$ & @$95\,\%$ CL & \includegraphics[height=.25cm]{../lhcb-logo}\footnotesize{$^{\text{\ref{xxxxx}}}$}\\
- $\mathcal{B}(\PBminus\to\PDs^{+}\Pmuon\Pmuon)$ & $<5.8\times 10^{-7}$ & @$95\,\%$ CL & \includegraphics[height=.25cm]{../lhcb-logo}\footnotesize{$^{\text{\ref{xxxxx}}}$}\\
- $\mathcal{B}(\PBminus\to\PDzero\Ppiminus\Pmuon\Pmuon)$ & $<1.5\times 10^{-6}$ & @$95\,\%$ CL & \includegraphics[height=.25cm]{../lhcb-logo}\footnotesize{$^{\text{\ref{xxxxx}}}$}\\
- \hline
- \end{tabular}
- }
- \end{column}
- \end{columns}
-
- \end{frame}
- \section{Lepton Flavour Violation}
- \begin{frame}
- \begin{center}
- {\Huge{Lepton Flavour Violation}}
-
- {~}
-
- \begin{itemize}
- \item {$\PDminus\to h^{-} \ell^{+}\ell^{\prime -}$}
- \item {$\PBminus\to\Ppiminus/\PKminus\Ptau^{\pm}\ell^{\mp}$}
- \item $\Ptauon\to\Pmuon\Pmuon\APmuon$
- \end{itemize}
- \end{center}
- \end{frame}
-
- \subsection{$\PDminus\to h^{-} \ell^{+}\ell^{\prime -}$}
- %\section{LFV in $\PBminus/\PDminus\to h^{-}\Plepton^{-}\Plepton^{\prime +}$ decays} %Belle, BaBar
- \begin{frame}[t]
- \frametitle{Lepton Flavour Violation}
-
- \begin{columns}
- \begin{column}{.45\textwidth}
- \begin{itemize}
- \item established for neutrinos
- \item can enter charged sector in loops
- \item predicted rates unmeasurable small
- \item<2>enhancement predicted in many New Physics models, e.g.
- \end{itemize}
- \end{column}
-
- \begin{column}{.55\textwidth}
- \only<1>{
- Standard Model + neutrino oscillation
-
- \begin{center}
- ${\PDplus\to\Ppiplus\Pmuon\APelectron}$
- \end{center}
-
- \begin{fmffile}{smlfv}
- %\begin{figure}
- %\begin{fmffile}{peng}
- \begin{fmfgraph*}(170,100)
- %bottom and top verticies
- \fmfstraight
- \fmfleft{i2,i3,i4,i5}
- \fmfright{o2,o3,o4,o5}
-
- %\fmf{fermion,lab.side=left,label=$d$}{i0,o0}
-
- \fmf{phantom}{i4,g1}
- \fmfipath{p[]}
-
- \fmf{plain,label=$\Pnum\to\Pnue$,tag=1}{g1,g2}
-
- \fmf{fermion,lab.side=left,label=$\APelectron$}{o4,g2}
- \fmf{phantom,lab.side=right,label=$\PDplus$}{i2,i3}
- \fmf{phantom,lab.side=right,label=$\Ppiplus$}{o2,o3}
- \fmf{fermion,lab.side=right,label=$\Pcharm$}{i3,g3}
- \fmf{fermion,lab.side=right,label=$\Pstrange/\Pdown$}{g3,g4}
- \fmf{fermion,lab.side=right,label=$\Pup$}{g4,o3}
- \fmf{fermion,lab.side=left,label=$\APdown$}{o2,i2}
-
-
- \fmffreeze
- \fmfiset{p1}{vpath1(__g1,__g2)}
- \fmfiv{d.sh=cross,d.ang=0,d.size=5thick}{point length(p1)/2 of p1}
-
- %\fmf{fermion}{g2,o4}
- %\fmf{fermion}{i3,g3,g4,o3}
- %\fmf{fermion}{o2,i2}
-
- \fmffreeze
-
- \fmf{fermion,lab.side=left,label=$\Pmuon$}{g1,o5}
- %\fmf{fermion}{g2,o4}
- \fmf{dashes,lab.side=right,label=$\PW$}{g1,g3}
- \fmf{dashes,lab.side=left,label=$\PW$}{g2,g4}
-
- % \fmfipath{p[]}
- % \fmf{plain,tension=0,right,label={$\Pgngt\to\Pgngm$},tag=1}{w1,w2}
- % \fmffreeze
- % \fmfiset{p1}{vpath1(__w1,__w2)}
- % \fmfiv{d.sh=cross,d.ang=0,d.size=5thick}{point length(p1)/2 of p1}
-
-
-
- \end{fmfgraph*}
-
- \end{fmffile}
- }
- \only<2>{
- extended Higgs
-
- \begin{center}
- ${\PDplus\to\Ppiplus\Pmuon\APelectron}$
- \end{center}
-
-
-
- \begin{fmffile}{multihiggs}
- %\begin{figure}
- %\begin{fmffile}{peng}
- \begin{fmfgraph*}(170,80)
- %bottom and top verticies
- \fmfstraight
- \fmfleft{i2,i3,i4,i5}
- \fmfright{o2,o3,o4,o5}
-
- %\fmf{fermion,lab.side=left,label=$d$}{i0,o0}
-
- \fmf{phantom}{i4,g1}
-
-
- \fmf{fermion,lab.side=left,label=$\APelectron$}{o4,g1}
- \fmf{phantom,lab.side=right,label=$\PDplus$}{i2,i3}
- \fmf{phantom,lab.side=right,label=$\Ppiplus$}{o2,o3}
- \fmf{fermion,lab.side=right,label=$\Pcharm$}{i3,g3}
- \fmf{fermion,lab.side=right,label=$\Pdown$}{g3,o3}
- \fmf{fermion,lab.side=left,label=$\APdown$}{o2,i2}
-
-
- \fmffreeze
-
- %\fmf{fermion}{g2,o4}
- %\fmf{fermion}{i3,g3,g4,o3}
- %\fmf{fermion}{o2,i2}
-
- \fmffreeze
-
- \fmf{fermion,lab.side=left,label=$\Pmuon$}{g1,o5}
- %\fmf{fermion}{g2,o4}
- \fmf{dashes,lab.side=right,label=$\Phi_S$}{g1,g3}
-
- % \fmfipath{p[]}
- % \fmf{plain,tension=0,right,label={$\Pgngt\to\Pgngm$},tag=1}{w1,w2}
- % \fmffreeze
- % \fmfiset{p1}{vpath1(__w1,__w2)}
- % \fmfiv{d.sh=cross,d.ang=0,d.size=5thick}{point length(p1)/2 of p1}
-
-
-
- \end{fmfgraph*}
-
- \end{fmffile}
- }
- \end{column}
- \end{columns}
- \only<2>{
- \begin{itemize}
- \item multi-Higgs extensions\footnote{ \invisible<1>{\myhref{http://link.aps.org/doi/10.1103/PhysRevD.44.1461}{Phys.\ Rev.\ D \textbf{44}, 1461}}}
- \item leptoquarks\footnote{ \invisible<1>{\myhref{http://arxiv.org/abs/hep-ph/9309310}{Z.\ Phys.\ C \textbf{61}, 613}}}
- \item low scale seesaw models\footnote{\invisible<1>{\myhref{http://link.aps.org/doi/10.1103/PhysRevD.73.074011}{Phys.\ Rev.\ D \textbf{73}, 074011}}}
- \end{itemize}
- }
- \end{frame}
-
- \begin{frame}
- \frametitle{LFV in charm decays}
- \begin{columns}
- %\begin{column}{.5\textwidth}
- %\begin{itemize}
- %\item same analysis as LNV search
- %\end{itemize}
- %\includegraphics[width=\textwidth]{./babarLFV}
- %\end{column}
- %\begin{column}{.5\textwidth}
- %\includegraphics[width=\textwidth]{./babarcharmtableLFV}
- %
- %{\footnotesize{Phys.\ Rev.\ D \textbf{84}, 072006 (2011)}}
- %\end{column}
- \begin{column}{.93\textwidth}
- \includegraphics[width=\textwidth]{./lfvhfag2}
- \end{column}
- \end{columns}
- {~}
-
- \myhref{http://gersabec.web.cern.ch/gersabec/hfag/rare/rare_charm.html}{[HFAG]}
- \end{frame}
-
- %\section{LFV in $\PBminus\to h^{-}\ell^{+}\ell^{\prime -}$} %BaBar tau, other
- \subsection{$\PBminus\to\Ppiminus/\PKminus\Ptau^{\pm}\ell^{\mp}$}
- \begin{frame}
- \frametitle{LFV in bottom decays}
- \begin{center}
-
- \begin{fmffile}{multihiggs2}
- %\begin{figure}
- %\begin{fmffile}{peng}
- \begin{fmfgraph*}(200,80)
- %bottom and top verticies
- \fmfstraight
- \fmfleft{i2,i3,i4,i5}
- \fmfright{o2,o3,o4,o5}
-
- %\fmf{fermion,lab.side=left,label=$d$}{i0,o0}
-
- \fmf{phantom}{i4,g1}
-
-
- \fmf{fermion,lab.side=left,label=$\APmuon$}{o4,g1}
- \fmf{fermion,lab.side=right,label=$\Pbottom$}{i3,g3}
- \fmf{fermion,lab.side=right,label=$\Pstrange$}{g3,o3}
- \fmf{fermion,lab.side=left,label=$\APup$}{o2,i2}
-
-
- \fmffreeze
-
- %\fmf{fermion}{g2,o4}
- %\fmf{fermion}{i3,g3,g4,o3}
- %\fmf{fermion}{o2,i2}
-
- \fmffreeze
-
- \fmf{fermion,lab.side=left,label=$\Ptauon$}{g1,o5}
- %\fmf{fermion}{g2,o4}
- \fmf{dashes,lab.side=right,label=$\Phi_S$}{g1,g3}
-
- % \fmfipath{p[]}
- % \fmf{plain,tension=0,right,label={$\Pgngt\to\Pgngm$},tag=1}{w1,w2}
- % \fmffreeze
- % \fmfiset{p1}{vpath1(__w1,__w2)}
- % \fmfiv{d.sh=cross,d.ang=0,d.size=5thick}{point length(p1)/2 of p1}
-
-
-
- \end{fmfgraph*}
-
- \end{fmffile}
- \end{center}
-
- {~}
-
- \begin{itemize}
- \item LFV $\Ptau$ sector not probed by $\PD$ decays
- \item enough energy available in $\PB$ decays
- \item multi Higgs models enhance $\PB\to h\Ptau\Pmu$ over other channels\footnote{\myhref{http://link.aps.org/doi/10.1103/PhysRevD.44.1461}{Phys.\ Rev.\ D \textbf{44} 1461}}
- \item challenging: neutrino in $\Ptau$ decay similar to $\PB\to X\ell\nu$
- \end{itemize}
- \end{frame}
-
-
- \begin{frame}
- \frametitle{LFV in bottom decays}
- %\includegraphics[height=2cm]{babar}\hspace{.2cm}{\texttt{arXiv:1204.2852v2}}
- \begin{columns}
- \begin{column}{.6\textwidth}
- {\footnotesize{
- \begin{tabular}{lclr}
- channel & limit & & \\\hline
- $\mathcal{B}(\PBplus\to\PKplus\Ptauon\APmuon)$ & $<4.5\times 10 ^{-5}$ & \includegraphics[height=.25cm]{babarlong}{\footnotesize{a}}\\%\\
- $\mathcal{B}(\PBplus\to\PKplus\APtauon\Pmuon)$ & $<2.8\times 10 ^{-5}$ & \includegraphics[height=.25cm]{babarlong}{\footnotesize{a}}\\%\\
- $\mathcal{B}(\PBplus\to\PKplus\Ptauon\APelectron)$ & $<4.3\times 10 ^{-5}$ & \includegraphics[height=.25cm]{babarlong}{\footnotesize{a}}\\%\\
- $\mathcal{B}(\PBplus\to\PKplus\APtauon\Pelectron)$ & $<1.5\times 10 ^{-5}$ & \includegraphics[height=.25cm]{babarlong}{\footnotesize{a}}\\%\\
- $\mathcal{B}(\PBplus\to\Ppiplus\Ptauon\APmuon)$ & $<6.2\times 10 ^{-5}$ & \includegraphics[height=.25cm]{babarlong}{\footnotesize{a}}\\%\\
- $\mathcal{B}(\PBplus\to\Ppiplus\APtauon\Pmuon)$ & $<4.5\times 10 ^{-5}$ & \includegraphics[height=.25cm]{babarlong}{\footnotesize{a}}\\%\\
- $\mathcal{B}(\PBplus\to\Ppiplus\Ptauon\APelectron)$ & $<7.4\times 10 ^{-5}$ & \includegraphics[height=.25cm]{babarlong}{\footnotesize{a}}\\%\\
- $\mathcal{B}(\PBplus\to\Ppiplus\APtauon\Pelectron)$ & $<2.0\times 10 ^{-5}$ & \includegraphics[height=.25cm]{babarlong}{\footnotesize{a}}\\%
- $\mathcal{B}(\PBplus\to\Ppiplus\Pmu^{\pm}\Pe^{\mp})$ & $<1.7\times 10 ^{-7}$ & \includegraphics[height=.25cm]{babarlong}{\footnotesize{b}}\\%\footnote{BaBar, Phys.\ Rev.\ Let.\ \textbf{99}, 051801 (2007)\label{babar..}}\\
- $\mathcal{B}(\PBplus\to\PKplus\APmuon\Pelectron)$ & $<9.1\times 10 ^{-8}$ & \includegraphics[height=.25cm]{babarlong}{\footnotesize{b}}%\footnotesize{$^{\text{\ref{babar..}}}$}
- \end{tabular}
-
- }}
- \end{column}
- \begin{column}{.4\textwidth}
- details in \myhref{http://hep.ustc.edu.cn/indico/contributionDisplay.py?contribId=28&confId=7}{talk of Giovanni Marchiori}
-
- {~}
-
- \begin{block}{LFV energy scale}
- \vspace{-.5cm}
- \begin{align*}
- \Lambda_{\APbottom\Pdown}:&\\
- \unit{2.2}{\TeV}&\rightarrow \unit{11}{\TeV}\\
- \Lambda_{\APbottom\Pstrange}:&\\
- \unit{2.6}{\TeV}&\rightarrow \unit{15}{\TeV}
- \end{align*}
- \end{block}
- %{\footnotesize{Phys.\ Rev.\ D \textbf{66}, 053002}}
- %
- %
- \end{column}
- \end{columns}
- {~}
-
- {~}
-
- {\footnotesize{a: BaBar, \myhref{http://arxiv.org/abs/1204.2852}{arXiv:1204.2852}, $\unit{429}{\reciprocal\femtobarn}$}}
-
- {\footnotesize{b: BaBar, \myhref{http://link.aps.org/doi/10.1103/PhysRevLett.99.051801}{Phys.\ Rev.\ Let.\ \textbf{99}, 051801} (2007), $\unit{209}{\reciprocal\femtobarn}$}}
- \end{frame}
-
-
-
- %\section{other LFV probes from charm} % \tau\to\mu\mu\mu
- %\begin{frame}
- %\frametitle{$\Ptau\to\Pmu\Pmu\Pmu$}
- %\begin{exampleblock}{LFV in $\Ptau$ decays}
- %\begin{itemize}
- %\item dominated by B factories in $\APtauon\Ptauon$ production \newline
- %see next talk by Francesco Renga
- %\item also possible to probe with semileptonic $\Ptau$ production
- %\item $\PDs^{+}\to\APmuon\APmuon\Pmuon\Pnut$
- %\item normalisation with $\PDs\to\Pphi(\Pmuon\APmuon)\Ppi$
- %\item[$\Rightarrow$] chance to probe $\Ptau$ decays at hadron colliders
- %\end{itemize}
- %\end{exampleblock}
- %
- %\end{frame}
-
- \section{$\Ptauon\to\Pmuon\Pmuon\APmuon$ at hadron colliders -- {first time shown!}}
- \begin{frame}
- \frametitle{$\Ptauon\to\Pmuon\Pmuon\APmuon$ at hadron colliders}
- \begin{columns}
- \begin{column}{.5\textwidth}
- \begin{itemize}
- \item in Standard Model + neutrino oscillation introduced in penguin diagrams
- \item highly suppressed ($\mathcal{B}\ll 10^{-50}$)
- \item enhanced by e.g. charged Higgs
- \item best measurements conducted at B factories (\myhref{http://hep.ustc.edu.cn/indico/contributionDisplay.py?contribId=43&confId=7}{Francesco Renga's talk})
- \item[!] also possible at hadron colliders
- \end{itemize}
- \end{column}
- \begin{column}{.5\textwidth}
- %\only<1>{
- \begin{fmffile}{smtau}
- %\begin{figure}
- %\begin{fmffile}{peng}
- \begin{fmfgraph*}(170,80)
- %bottom and top verticies
- \fmfstraight
- \fmfleft{is3,is2,is1,i1,i2,i3,i4,i5,i6}
- \fmfright{os3,os2,os1,o1,o2,o3,o4,o5,o6}
-
- %\fmf{fermion,lab.side=left,label=$d$}{i0,o0}
-
- \fmf{phantom}{o1,g1}
- \fmf{phantom,tension=1.5}{g1,i1}
-
- \fmffreeze
-
- \fmf{photon, tension=2.,lab.side=left, lab=$\Pphoton/\PZ$}{g1,g2}
- \fmf{fermion,lab.side=left,label=$\APmuon$}{o3,g2}
- \fmf{fermion,lab.side=left,label=$\Pmuon$}{g2,o5}
- \fmf{phantom,tension=1.5}{i6,g2}
-
- \fmffreeze
-
-
- \fmf{fermion,lab.side=left,label=$\Pgtm$}{i1,w1}
- \fmf{dashes,lab.side=right,label=$\PWminus$}{w1,w2}
- \fmf{fermion,lab.side=right,label=$\Pmuon$}{w2,o1}
-
- % \fmf{fermion}{i1,w1}
- % \fmf{fermion}{w1,g1}
- % \fmf{fermion,tension=2}{g1,w2}
- % \fmf{fermion}{w2,o1}
-
- \fmfipath{p[]}
- \fmf{plain,tension=0,right,label={$\Pgngt\to\Pgngm$},tag=1}{w1,w2}
- \fmffreeze
- \fmfiset{p1}{vpath1(__w1,__w2)}
- \fmfiv{d.sh=cross,d.ang=0,d.size=5thick}{point length(p1)/2 of p1}
-
- % \fmfv{lab=g1}{g1}
- % \fmfv{lab=g2}{g2}
- % \fmfv{lab=w1}{w1}
- % \fmfv{lab=w2}{w2}
-
- \end{fmfgraph*}
-
- %\caption{Test 4. is $\propto e^{0}$}
- %\end{figure}
- \end{fmffile}
- %}
-
- {~}
-
-
- {~}
-
- %\only<2>{
- \begin{fmffile}{chargedhiggs}
- \begin{fmfgraph*}(170,80)
-
- \fmfstraight
-
- \fmfleft{i}
- \fmfright{o1,o2,o3}
- \fmf{phantom}{i,g,o2}
- \fmffreeze
- \fmf{fermion,lab.side=right,label=$\Ptauon$}{i,g}
- \fmf{dashes,tension=2,lab.side=left,label=$H^{--}$}{g,h}
- \fmf{fermion,lab.side=left,label=$\APmuon$}{o1,g}
- \fmf{fermion,lab.side=right,label=$\Pmuon$}{h,o2}
- \fmf{fermion,lab.side=left,label=$\Pmuon$}{h,o3}
-
- \end{fmfgraph*}
- \end{fmffile}
- %}
-
-
- \end{column}
- \end{columns}
-
- \end{frame}
-
- \begin{frame}[t]
- \frametitle{$\Ptau\to\Pmu\Pmu\Pmu$ in hadron collisions}
- \begin{columns}
- \begin{column}{.45\textwidth}
- \begin{exampleblock}{$\Ptau$ sources at B factories}
- \begin{itemize}
- \item $\APelectron\Pelectron\to\APtauon\Ptauon$
- \item allows $\tau$ tag
- \end{itemize}
- \end{exampleblock}
- %\visible<2>{
- %\begin{block}{$\dagger$ cross section}
- %\begin{itemize}
- %\item $\Pbottom\APbottom$ production\newline \myhref{http://arxiv.org/abs/arXiv:1103.0423}{Eur.\ Phys.\ J.\ C \textbf{71} 1645 (2011)}
- %\item $\Pcharm\APcharm$ production\newline \myhref{http://cdsweb.cern.ch/record/1311236}{LHCb-CONF-2010-013}
- %\item branching fractions from PDG\newline (LEP \& B factories)
- %\end{itemize}
- %\end{block}
- %}
- \end{column}
- \begin{column}{.45\textwidth}
- \begin{alertblock}{$\Ptau$ sources at the LHC}
- \begin{itemize}
- \item inclusive $\Ptau$ cross section $79.5\pm\unit{8.3}{\micro\barn}$ at $\sqrt{s}=\unit{7}{\TeV}$ in the LHCb acceptance% $^{\dagger}$
- \item[$\rightarrow$] $7.9\times 10^{10}\, \Ptau$ produced% in 2011
- \item dominant: $\PDs\to\Ptau\Pnut$ ($78\%$)
- \item[!] no $\tau$ tag possible
- \item standard $\tau$ signatures very similar to $\PD$ decays
- \newline($\PDplus\to\Ppiplus\Ppiminus\Ppiplus\Ppizero$\newline vs.\ $\APtauon\to\Ppiplus\Ppiminus\Ppiplus\APnut$)
- \end{itemize}
- \end{alertblock}
- \end{column}
- \end{columns}
- %\begin{exampleblock}{Normalisation channel}
- %\begin{itemize}
- %\item use $\mathcal{B}(\PDs\to\Pphi\Ppi)$ and $\mathcal{B}(\PDs\to\Ptau\Pnut)$
- %\item[$\Rightarrow$] normalise relative to $\PDs\to\Pphi(\APmuon\Pmuon)\Ppi$
- %\end{itemize}
- %\end{exampleblock}
- \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 Normalisation with $\PDs$
- \item CLs method to extract the result
- \end{itemize}
- \end{column}
- \begin{column}{.5\textwidth}
- \hspace{4.5cm}\includegraphics[width=.2\textwidth]{../lhcb-logo}\hspace{.5em}
- %\texttt{LHCb-CONF-2012-015}
-
- \only<1>{\begin{block}{Signal \& Calibration channel}
- \includegraphics[width=.9\textwidth]{topos}
- \end{block}}
- \only<2>{\begin{alertblock}{Signal \& peaking background}
- \includegraphics[width=.9\textwidth]{topob}
- \end{alertblock}}
- \end{column}
- \end{columns}
-
- \end{frame}
-
-
- \begin{frame}
- \frametitle{Normalisation channel $\PDs^{+}\to\Pphi(\APmuon\Pmuon)\Ppiplus$}
- \begin{block}{produced $\tau$ leptons}
- \vspace{-.3cm}
- \begin{align*}
- %N_\tau = \frac{\sigma(pp\to\Ptau)}{\sigma(pp\to\PDs\to\Ptau)}\times \frac{\mathcal{B}(\PDs\to\Ptau\Pnut)}{\mathcal{B}(\PDs\to\Pphi\Ppi)\times\mathcal{B}(\Pphi\to\Pmu\Pmu)} \times N_{\PDs\to\Pphi(\Pmu\Pmu)\Ppi}
- \mathcal{B}(\tau\to\mu\mu\mu)=\frac{\sigma(pp\to\PDs\to\Ptau)}{\sigma(pp\to\Ptau)} \frac{\mathcal{B}(\PDs\to\Pphi(\Pmu\Pmu)\Ppi)}{\mathcal{B}(\PDs\to\Ptau\Pnut)} \frac{\varepsilon_{norm}}{\varepsilon_{sig}}\frac{N_{\tau\to\mu\mu\mu}}{N_{\PDs\to\Pphi(\Pmu\Pmu)\Ppi}}
- \end{align*}
- \end{block}
- \begin{columns}
- \begin{column}{.48\textwidth}
- \begin{exampleblock}{ingredients}
- \begin{itemize}
- \item $\Pbottom\APbottom$ and $\Pcharm\APcharm$ production measurements from LHCb
- \item $\PB\to\Ptau$ and $\PD\to\Ptau$ branching ratios from LEP / B factories
- \item $\Pmu\Pmu\Ppi$ final state
- \item[$\rightarrow$] systematics cancel
- \only<1>{
- \begin{itemize}
- \item trigger
- \item reconstruction
- %\item kinematics
- \item selection
- \end{itemize}
- }
- \only<2>{\item non resonant contribution $<2\,\%$}
- \end{itemize}
- \end{exampleblock}
- \end{column}
- \begin{column}{.48\textwidth}
- \includegraphics[width=.2\textwidth]{../lhcb-logo}\hspace{.5em}
- \texttt{LHCb-CONF-2012-015}
-
- \only<1>{\includegraphics[width=\textwidth]{./Fig3a_mDs}
-
- $45\,515\, \PDs\to\Pphi(\APmuon\Pmuon)\Ppi$ decays
- }
- \only<2>{\includegraphics[width=\textwidth]{./Fig3b_mPhi}
-
- {\footnotesize{background substracted $\APmuon\Pmuon$ mass}}
- }
- \end{column}
- \end{columns}
- \end{frame}
-
- \begin{frame}
- \frametitle{signal likelihoods}
- \begin{columns}
- \begin{column}{.48\textwidth}
-
- \begin{block}{3 body decay likelihood}
- \begin{itemize}
- \item vertex properties
- \begin{itemize}
- \item vertex fit, pointing
- \end{itemize}
- \item track quality
- \item isolation
- \end{itemize}
- \end{block}
- \begin{exampleblock}{Calibration}
- $\PDs\to\Pphi\Ppi$
- \end{exampleblock}
- \includegraphics[width=.88\textwidth]{./Fig1a_geobinning3}
- \end{column}
- \begin{column}{.48\textwidth}
- \begin{block}{particle identification}
- \begin{itemize}
- \item hits in muon chambers
- \item energy in calorimeters
- \begin{itemize}
- \item compatible with MIP
- \end{itemize}
- \item RICH information
- \end{itemize}
- \end{block}
- \begin{exampleblock}{Calibration}
- $\PJpsi\to\APmuon\Pmuon$
- \end{exampleblock}
- \includegraphics[width=.88\textwidth]{./Fig1b_pidbinning3}
- \end{column}
- \end{columns}
- \end{frame}
-
- \begin{frame}
- \frametitle{invariant mass}
- \begin{columns}
- \begin{column}{.8\textwidth}
- \begin{block}{two fold role}
- \begin{itemize}
- \item background estimation in sidebands
- \item different signal likelihood inside signal region
- \end{itemize}
- \end{block}
- \end{column}
- \begin{column}{.2\textwidth}
- \includegraphics[width=.46\textwidth]{../lhcb-logo}
- \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]{./masssim}
- \end{column}
- \begin{column}{.35\textwidth}
- \begin{itemize}
- \item mass resolution and mass scale calibrated on data
- \end{itemize}
- \end{column}
- \end{columns}
-
- \end{frame}
-
- \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}
- \end{column}
- \begin{column}{.2\textwidth}
- \includegraphics[width=.46\textwidth]{../lhcb-logo}
- \hspace{.5em}$\unit{1}{\reciprocal\femtobarn}$
-
- \texttt{LHCb-CONF-} \texttt{2012-015}
- \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}
-
- \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]{../lhcb-logo}
- \hspace{.5em}$\unit{1}{\reciprocal\femtobarn}$
-
- \texttt{LHCb-CONF-}\texttt{2012-015}
-
- \end{column}
- \end{columns}
- %no excess observed
-
- \end{frame}
-
- \begin{frame}
- \frametitle{extracted limit}
- \begin{columns}\begin{column}{.8\textwidth}
- \begin{block}{result (preliminary)}
- \vspace{-.5cm}
- \begin{align*}
- & \text{observed} & \text{expected}\\
- \mathcal{B}(\Ptau\to\Pmu\Pmu\Pmu) <\ & 6.3\times 10 ^{-8} & 8.2\times 10^{-8} &\ @\, 90\,\% CL \\
- <\ & 7.8\times 10 ^{-8} & 9.9\times 10^{-8} &\ @\, 95\,\% CL
- \end{align*}
- \end{block}
- \end{column}
- \begin{column}{.2\textwidth}
- \includegraphics[width=.46\textwidth]{../lhcb-logo}
- \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}
-
- \begin{itemize}
- \item[Belle] $2.1 x 10^{-8}$ \ {\footnotesize{@ 90\,\% CL\newline \myhref{http://dx.doi.org/10.1016/j.physletb.2010.03.037}{Phys.\ Lett.\ B \textbf{687}, 139} (2010)}}
- \item[BaBar] $3.3 x 10^{-8}$ \ {\footnotesize{@ 90\,\% CL\newline \myhref{http://link.aps.org/doi/10.1103/PhysRevD.81.111101}{Phys.\ Rev.\ D \textbf{81}, 111101(R)} (2010)}}
- \end{itemize}
- \end{column}
- \end{columns}
-
- \end{frame}
-
- \section*{Summary}
- \begin{frame}
- \frametitle{Summary}
- \begin{itemize}
- \item neither lepton number violation nor lepton flavour violation observed (yet)
- \item hadron decays provide good probes for Lepton Number \& Flavour Violation
- \item excellent sensitivity achieved at B factories
- \begin{itemize}
- \item LNV and LFV excluded to $10^{-5}$ for $\PD$ decays
- \end{itemize}
- \item LHCb extends knowledge on forbidden $\PB$ decays
- \begin{itemize}
- \item LNV excluded to $10^{-6\dots -8}$
- \end{itemize}
- \item LHCb approaching B factories for $\tau\to\mu\mu\mu$
- \item[$\Rightarrow$] first time done at hadron colliders
- \end{itemize}
- \end{frame}
- \appendix
- \begin{frame}[t]
- \begin{columns}
- \begin{column}{.3\textwidth}
- {~}
-
- {~}
-
-
- \huge{BACKUP}
- \end{column}
- \end{columns}
- \end{frame}
-
- %\begin{frame}
- %\frametitle{LFV in bottom decays}
- %{\footnotesize{
- %\begin{tabular}{lclr}
- %channel & limit & & \\\hline
- %$\mathcal{B}(\PBplus\to\PKplus\Ptauon\APmuon)$ & $<4.5\times 10 ^{-5}$ & \includegraphics[height=.25cm]{babar}\footnote{BaBar, arXiv:1204.2852\label{babartau}}\\
- %$\mathcal{B}(\PBplus\to\PKplus\APtauon\Pmuon)$ & $<2.8\times 10 ^{-5}$ & \includegraphics[height=.25cm]{babar}\footnotesize{$^{\text{\ref{babartau}}}$}\\
- %$\mathcal{B}(\PBplus\to\PKplus\Ptauon\APelectron)$ & $<4.3\times 10 ^{-5}$ & \includegraphics[height=.25cm]{babar}\footnotesize{$^{\text{\ref{babartau}}}$}\\
- %$\mathcal{B}(\PBplus\to\PKplus\APtauon\Pelectron)$ & $<1.5\times 10 ^{-5}$ & \includegraphics[height=.25cm]{babar}\footnotesize{$^{\text{\ref{babartau}}}$}\\
- %$\mathcal{B}(\PBplus\to\Ppiplus\Ptauon\APmuon)$ & $<6.2\times 10 ^{-5}$ & \includegraphics[height=.25cm]{babar}\footnotesize{$^{\text{\ref{babartau}}}$}\\
- %$\mathcal{B}(\PBplus\to\Ppiplus\APtauon\Pmuon)$ & $<4.5\times 10 ^{-5}$ & \includegraphics[height=.25cm]{babar}\footnotesize{$^{\text{\ref{babartau}}}$}\\
- %$\mathcal{B}(\PBplus\to\Ppiplus\Ptauon\APelectron)$ & $<7.4\times 10 ^{-5}$ & \includegraphics[height=.25cm]{babar}\footnotesize{$^{\text{\ref{babartau}}}$}\\
- %$\mathcal{B}(\PBplus\to\Ppiplus\APtauon\Pelectron)$ & $<2.0\times 10 ^{-5}$ & \includegraphics[height=.25cm]{babar}\footnotesize{$^{\text{\ref{babartau}}}$}\\
- %$\mathcal{B}(\PBplus\to\Ppiplus\Pmu^{\pm}\Pe^{\mp})$ & $<1.7\times 10 ^{-7}$ & \includegraphics[height=.25cm]{babar}\footnote{BaBar, Phys.\ Rev.\ Let.\ \textbf{99}, 051801 (2007)\label{babar..}}\\
- %$\mathcal{B}(\PBplus\to\PKplus\APmuon\Pelectron)$ & $<9.1\times 10 ^{-8}$ & \includegraphics[height=.25cm]{babar}\footnotesize{$^{\text{\ref{babar..}}}$}
- %\end{tabular}
- %}}
- %\end{frame}
- %
- \begin{frame}
- \frametitle{Sensitivity to long lived Majorana neutrinos}
- \begin{itemize}
- \item analysis allows for neutrino flight distance
- \item probes only Majorana neutrinos decaying inside the detector
- \item sensitivity to lifetime provided
- \end{itemize}
-
- {\footnotesize{
- \begin{tabular}{p{.31\textwidth}p{.32\textwidth}p{.34\textwidth}}
- a) $\PBminus\to\Ppiplus\Pmuon\Pmuon$&b) $\PBminus\to\PDs^{+}\Pmuon\Pmuon$&c) $\PBminus\to\PDzero\Ppiplus\Pmuon\Pmuon$\\
- $\unit{250}{\MeV}<m_4<\unit{5}{\GeV}$&$\unit{2.1}{\GeV}<m_4<\unit{5.15}{\GeV}$&$\unit{260}{\MeV}<m_4<\unit{3.3}{\GeV}$
- \end{tabular}}}
- \includegraphics[width=\textwidth]{./Lifetime-eff}
-
- {~}
- \begin{itemize}
- \item sensitive to lifetimes $<10^{-10}\,\text{s}$
- \item $\PBminus\to\PDzero\Ppiplus\Pmuon\Pmuon$ better sensitive to ``large'' lifetimes
- \end{itemize}
-
- \end{frame}
-
- \begin{frame}
- \frametitle{model dependence}
- {\Huge{$\Ptauon\to\Pmuon\Pmuon\APmuon$}}
-
- \begin{columns}
- \begin{column}{.48\textwidth}
- \begin{alertblock}{possible problem}
- if the selection efficiency is different for various models, the limit could be higher or lower than the one we quote.
- \end{alertblock}
- \end{column}
- \begin{column}{.48\textwidth}
- \begin{exampleblock}{crosschecks}
- We tested the\begin{itemize}
- \item trigger efficiency
- \item preselection
- \item multivariate classifier
- \end{itemize}
- as a function of the invariant dimuon mass(es).
-
- $\Rightarrow$ these are constant within 15\,\%
- \end{exampleblock}
- \end{column}
- \end{columns}
- \end{frame}
- \begin{frame}
- \frametitle{Prospects}
- When will LHCb catch up with the B factories on $\Ptauon\to\Pmuon\Pmuon\APmuon$?
-
- \begin{block}{short answer}
- not studied so far
- \end{block}
-
- \begin{block}{long answer}
- Judge yourself:
- \begin{itemize}
- \item used: $\unit{1}{\reciprocal\femtobarn}$ @ $\unit{7}{\TeV}$
- \item 2012: $\unit{1.5}{\reciprocal\femtobarn}$ @ $\unit{8}{\TeV}$ (charm cross section $\sim 15\,\%$ higher)
- \item 2013-1014: long shutdown 1
- \item 2014-2017: running at higher energies
- \end{itemize}
- \end{block}
- \end{frame}
-
- \begin{frame}
- \frametitle{HFAG limits for bottom decays}
- \includegraphics[height=.85\textheight]{./leptonviol_colorful}
- {~~}
- \myhref{http://www.hep.ph.ic.ac.uk/\%7Empatel2/HFAG/May\%202012/radll/}{[HFAG]}
- \end{frame}
-
- \end{document}