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- % \newcommand{\handwriting}{} % If you prefer no special handwriting font or don't have augie
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- % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % %
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- \def\Br{{\rm Br}}
-
-
-
- \author{ {\fontspec{Trebuchet MS}Marcin Chrz\k{a}szcz} (Universit\"{a}t Z\"{u}rich)}
- \institute{UZH}
- \title[Searches for long-lived light particles at LHCb]{Searches for long-lived light particles at LHCb}
- \date{25 September 2015}
-
-
- \begin{document}
- \tikzstyle{every picture}+=[remember picture]
-
- {
- \setbeamertemplate{sidebar right}{\llap{\includegraphics[width=\paperwidth,height=\paperheight]{bubble2}}}
- \begin{frame}[c]%{\phantom{title page}}
- \begin{center}
- \begin{center}
- \begin{columns}
- \begin{column}{0.75\textwidth}
- \flushright\fontspec{Trebuchet MS}\bfseries \LARGE {Searches for long-lived light particles at LHCb}
- \end{column}
- \begin{column}{0.02\textwidth}
- {~}
- \end{column}
- \begin{column}{0.23\textwidth}
- % \hspace*{-1.cm}
- \vspace*{-3mm}
- \includegraphics[width=0.6\textwidth]{lhcb-logo}
- \end{column}
-
- \end{columns}
- \end{center}
- \quad
- \vspace{3em}
- \begin{columns}
- \begin{column}{0.44\textwidth}
- \flushright \vspace{-1.8em} {\fontspec{Trebuchet MS} \Large Marcin Chrząszcz\\\vspace{-0.1em}\small \href{mailto:mchrzasz@cern.ch}{mchrzasz@cern.ch}}
-
- \end{column}
- \begin{column}{0.53\textwidth}
- \includegraphics[height=1.3cm]{uzh-transp}
- \end{column}
- \end{columns}
-
- \vspace{1em}
- % \footnotesize\textcolor{gray}{With N. Serra, B. Storaci\\Thanks to the theory support from M. Shaposhnikov, D. Gorbunov}\normalsize\\
- \vspace{0.5em}
- \textcolor{normal text.fg!50!Comment}{SUSY 2015, Tahoe City, 23-29 August, 2015}
-
-
- \end{center}
- \end{frame}
- }
-
-
- %-------------------------------------------------------------------
- % Introduction
- %-------------------------------------------------------------------
- %
- % Set the background for the rest of the slides.
- % Insert infoline
- %\setbeamertemplate{background}
- % {\includegraphics[width=\paperwidth,height=\paperheight]{slide_bg}}
- %\setbeamertemplate{footline}[bunsentheme]
-
-
-
- %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
- %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
-
- %\setbeamertemplate{background}
- % {\includegraphics[width=\paperwidth,height=\paperheight]{slide_bg}}
- %\setbeamertemplate{footline}[bunsentheme]
- %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
- %\section{LHCb detector}
-
- %\begin{frame}\frametitle{LHCb detector}
- %\begin{columns}
- %\column{3.in}
- %\begin{center}
- %\includegraphics[width=0.98\textwidth]{det.jpg}
- %\end{center}
-
- %\column{2.0in}
- %\begin{footnotesize}
-
-
- % LHCb is a forward spectrometer:
- % \begin{itemize}
- % \item Excellent vertex resolution.
- % \item Efficient trigger.
- % \item High acceptance for $\Ptau$ and $\PB$.
- % \item Great Particle ID
- % \end{itemize}
-
-
-
- %\end{footnotesize}
- %\end{columns}
-
- %\end{frame}
-
- \section{Introduction}
-
- \begin{frame}\frametitle{Why long-lived particles?}
- \begin{columns}
- \column{3in}
- \begin{itemize}
- \item We all know here that the SM is incomplete.
- \item Unfortunately we do no know what is the scale of NP.
- \item NP still can come from the Higgs sector $\Rightarrow$ not all properties are yet constrained.
- \item There is a long list of theoretical models that predict the existence
- of new particles that couple to the SM sector by mixing with the
- Higgs.
- \end{itemize}
-
- \column{2in}
- \includegraphics[width=0.9\textwidth]{susy/NP_couplings.png}
-
-
- \end{columns}
- \begin{itemize}
-
- \item Inflaton, axion-like, dark matter mediator models also predict the
- new boson to be light.
- \item SUSY models also can have stable long living particles like $\Psquark$, $\Pslepton$.
- \end{itemize}
-
-
- \end{frame}
-
- \begin{frame}
- \only<1>{\frametitle{LHCb detector - tracking}
- \begin{columns}
- \column{3in}
- \includegraphics[width=0.9\textwidth]{susy/1050px-Lhcbview.jpg}
-
- \column{2in}
- \includegraphics[width=0.95\textwidth]{susy/sketch.png}
- \end{columns}
- \begin{itemize}
- \item Excellent Impact Parameter (IP) resolution ($20~\rm \mu m$).\\
- $\Rightarrow$ Identify secondary vertices from heavy flavour decays
- \item Proper time resolution $\sim~40~\rm fs$.\\
- $\Rightarrow$ Good separation of primary and secondary vertices.
- \item Excellent momentum ($\delta p/p \sim 0.4 - 0.6\%$) and inv. mass resolution.\\
- $\Rightarrow$ Low combinatorial background.
-
- \end{itemize}
-
-
- }
-
- \only<2>{\frametitle{LHCb detector - particle identification}
- \begin{columns}
- \column{3in}
- \includegraphics[width=0.9\textwidth]{susy/1050px-Lhcbview.jpg}
-
- \column{2in}
- \includegraphics[width=0.95\textwidth]{susy/cher.png}
- \end{columns}
- \begin{itemize}
- \item Excellent Muon identification $\epsilon_{\mu \to \mu} \sim 97\%$, $\epsilon_{\pi \to \mu} \sim 1-3\%$
- \item Good $\PK-\Ppi$ separation via RICH detectors, $\epsilon_{\PK \to \PK} \sim 95\%$, $\epsilon_{\Ppi \to \PK} \sim 5\%$.\\
- $\Rightarrow$ Reject peaking backgrounds.
- \item High trigger efficiencies, low momentum thresholds.
- Muons: $p_T > 1.76 \GeV$ at L0, $p_T > 1.0 \GeV$ at HLT1,\\
- $B \to \PJpsi X $: Trigger $\sim 90\%$.
-
- \end{itemize}
-
-
- }
-
-
- \end{frame}
-
-
- %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
- \begin{frame}\frametitle{Data taken by LHCb}
- \includegraphics[width=0.9\textwidth]{susy/data.png}
-
- \begin{itemize}
- \item In 2011 and 2012 LHCb has gathered $3~{\rm{fb^{-1}}}$ of $pp$ collisions.
- \end{itemize}
-
- \end{frame}
-
-
-
- \section{Lepton Flavour Violation}
- \begin{frame}\frametitle{Lepton Flavour/Number Violation}
- \begin{small}
- Lepton Flavour Violation(LFV):
- \end{small}
-
-
- \begin{footnotesize}
-
- After $\Pmuon$ was discovered it was natural to think of it as an excited $\Pelectron$.
- \begin{columns}
- \column{3in}
- \begin{itemize}
- \item Expected: $B(\mu\to\Pe\gamma) \approx 10^{-4}$
- \item Unless another $\Pnu$, in intermediate vector boson loop, cancels.
- \end{itemize}
-
- \column{2in}
- {~}\includegraphics[width=0.98\textwidth]{rabi.png}
-
- \end{columns}
- \begin{columns}
- \column{0.5in}
- {~}
- \column{3in}
- \begin{block}{I.I.Rabi:}
- "Who ordered that?"
- \end{block}
- \column{0.3in}{~}
- \column{2in}
- {~}\includegraphics[scale=0.08]{II_Rabi.jpg}
-
- \end{columns}
-
-
- \begin{itemize}
- \item Up to this day charged LFV is being searched for in various decay modes.
- \item LFV was already found in neutrino sector (oscillations).
- \end{itemize}
- \end{footnotesize}
-
-
- \begin{footnotesize}
-
- \begin{columns}
- \column{3.5in}
- \begin{small}
- Lepton Number Violation (LNV)
- \end{small}
-
- \begin{itemize}
- \item Even with LFV, lepton number can be a conserved quantity.
- \item Many NP models predict it violation(Majorana neutrinos)
- \item Searched in so called Neutrinoless double $\beta$ decays.
- \end{itemize}
-
- \column{1.5in}
- \includegraphics[width=0.8\textwidth]{Double_beta_decay_feynman.png}
-
- \end{columns}
-
- \end{footnotesize}
- %Double_beta_decay_feynman.png
-
- % \textref{M.Chrz\k{a}szcz 2014}
- \end{frame}
-
-
- % \section{Lepton Number Violation}
- \section{ $\PB$ decays}
- \subsection{$\PBminus\to h^{+}\Plepton^{-}\Plepton^{-}$}
- \begin{frame}%[t]
- \frametitle{LNV in bottom decays}%$\PBminus\to h^{+}\ell^{-}\ell^{-}$}
-
- \only<1>{
- \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 $m_4 = m_{\Plepton^{-},\Ppiplus}$
- \item $m_{\mu} + m_{\pi} < m_4 < m_{\PB} - m_{\mu}$
- \end{itemize}
- \end{column}
- {
- \begin{column}{.5\textwidth}
- \begin{exampleblock}{~}
- %\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 2014}
- \end{frame}
-
- %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
-
-
- %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
-
- \begin{frame}[t]
- \frametitle{Virtual Majorana neutrinos}
-
-
- \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]{pic/MassFitDp_.pdf}
- \end{block}
- \end{column}
- }
-
-
- \end{columns}
- \only<1>{{
- {~}
-
- \begin{columns}
- \column{2.5in}
- $\quad\mathcal{B}(\PBminus\to\PDplus\Pmuon\Pmuon)<6.9\times 10^{-7}$
- \column{2.5in}
-
- $\mathcal{B}(\PBminus\to\PD^{*+}\Pmuon\Pmuon)<2.4\times 10^{-6}$
-
- \end{columns}
- }}
-
-
- {@ 95\,\% CL}\hspace{.35\textwidth}
- {@ 95\,\% CL}
- \\ Based on $0.41~\rm fb^{-1}${~}$7~\TeV$ data.
-
- {~}
-
- \begin{columns}
- \begin{column}{6.5cm}
- \end{column}
- \begin{column}{1.5cm}
- %\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}
-
- %LHCb, arXiv:1201.5600
- %\includegraphics[width=.5\textwidth]{UpperAll}
- % \textref{M.Chrz\k{a}szcz 2014}
- \end{frame}
-
- %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
-
- \begin{frame}[t]
- \frametitle{On-shell Majorana neutrinos}
- \begin{itemize}
- \item $\PBminus \to \Ppiplus \Pmuon \Pmuon$ searched with full data set${~}3~\rm fb^{-1}$.
- \item Cut based analysis.
- \item Normalization channel $\PBplus \to \PJpsi(\mu\mu)\PKplus$.
- \item Searches performed for two scenarios:
- \begin{itemize}
- \item Short life-time neutrinos: $\tau_4 <1ps$
- \item Long life-time neutrinos: $\tau_4 \in (1,1000) ps$
- \end{itemize}
- \end{itemize}
- \begin{columns}
-
- \only<1>{
- \includegraphics[width=\textwidth]{Figure2.png}
- }
-
- \end{columns}
-
-
- \begin{columns}
- \begin{column}{8.5cm}
-
- \includegraphics[width=\textwidth]{Figure3.png}
-
- \end{column}
- \begin{column}{.5cm}
- %\includegraphics[width=\textwidth]{pic/LHCb_logo.jpg}
- \end{column}
-
- \begin{column}{4cm}
- \hspace{.4cm}
-
-
- {\footnotesize{\href{http://journals.aps.org/prl/abstract/10.1103/PhysRevLett.112.131802}{\texttt{Phys. Rev. Lett. 112, 131802 }}}}
-
- \end{column}
- \end{columns}
-
-
- % \textref{M.Chrz\k{a}szcz 2014}
- \end{frame}
-
-
-
- %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
-
- \begin{frame}[t]
- \frametitle{On-shell Majorana neutrinos}
- {~}\\
- \begin{columns}
- \column{2.5in}
- \includegraphics[width=\textwidth]{Figure5.png}\\
- \includegraphics[width=\textwidth]{Figure6.png}\\
-
-
- \column{2.5in}
- \begin{small}
- \begin{itemize}
- \item In absence of signal UL. were set.
- \item $Br(\PBminus \to \Ppiplus \Pmuon \Pmuon)$ in range $10^{-9}$.
- \item Limits also set for the coupling $| V_{\mu 4} |^2$
- \end{itemize}
- {~}{~}$Br(\PBminus \to \Ppiplus \Pmuon \Pmuon) = \dfrac{G_f^4 f_B^2f_{\pi}^2}{128\pi\hbar } \tau_B m_B^5 |V_{ub}V_{ud}|^2|V_{\mu4}|^4(1- \dfrac{m_4^2}{m_B^2})\dfrac{m_4}{\Gamma_{N_4}}$
- \end{small}
- \end{columns}
- % \textref{M.Chrz\k{a}szcz 2014}
- \end{frame}
-
-
- %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% johan %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
-
- \begin{frame}
- \frametitle{Summary on LNV in $\color{white} \textbf{B}$ 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}\footnote{LHCb,Phys. Rev. Lett. (112) 131802 (2014)\label{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 2014}
- \end{frame}
-
-
-
-
- %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
- \begin{frame}\frametitle{$\PB \to \PKstar \chi(\mu\mu)$ search}
- \begin{itemize}
- \item Search for displaced di-muon vertex coming form $\PB$ meson.
- \end{itemize}
- \begin{columns}
- \column{2.5in}
- \begin{Large}
- $\PBzero \to \PKstar \chi( \Pmuon \APmuon)$
- \end{Large}
- \column{2.5in}
- \includegraphics[width=0.9\textwidth]{susy/inflaton.png}
- \end{columns}
- \begin{itemize}
- \item If $\chi$ mixes with the Higgs and it is light:
- \begin{itemize}
- \item $\Gamma(\PK \to \Ppi \chi) \propto m_t^4 \lambda^5$
- \item $\Gamma(\PD \to \Ppi \chi) \propto m_b^4 \lambda^5$
- \item $\Gamma(\PB \to \PK \chi) \propto m_t^4 \lambda^2$
- \end{itemize}
- \item In addition; $\PKstar \to \PK^+ \Ppi^-$ helps in vertex reconstruction.
- \item High $\mathcal{B}(\chi \to \Pmuon \APmuon)$.
- \end{itemize}
-
- \end{frame}
-
- %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
- \begin{frame}\frametitle{$\PB \to \PKstar \chi(\mu\mu)$ motivation}
- Discussed models:
- \begin{enumerate}
- \item \textbf{Inflaton:} \href{http://arxiv.org/abs/1403.4638}{{\color{blue}{Phys.Lett. B736 (2014) 494}}}
- \begin{itemize}
- \item $\tau_{\chi} = 10^{-8} - 10^{-10}~s$
- \item $m_{\chi} ~\mathcal{O}(1~\GeV)$
- \item $\mathcal{B}(\PB \to \PK \chi)~\sim 10^{-6}$
- \item effective couplings to SM particles:
- \begin{itemize}
- \item $g_Y\frac{m_f}{v_{EW}},~g_Y=\sin \theta$
- \end{itemize}
- \end{itemize}
- \item \textbf{Axion portal:} \href{http://arxiv.org/abs/0911.5355}{{\color{blue}{Phys.Rev.D81:034001,2010}}}
- \begin{itemize}
- \item Prompt decay.
- \item Large allowed masses.
- \item Axion decay constant: $f_{\chi} \sim 1-3~\TeV$
- \begin{itemize}
- \item Coupling $\propto \frac{m_f}{f_{\chi}}$.
- \end{itemize}
- \end{itemize}
- \end{enumerate}
-
- All those particles have width much smaller than resolution of LHCb detector.
-
-
- \end{frame}
-
- %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%5
- \begin{frame}\frametitle{Signal properties}
- $\Rrightarrow$ Depending on the coupling of the hidden sector we can identify two lifetime regimes:\\{~}
-
- \begin{columns}
- \column{0.1in}
- {~}
- \column{2.5in}
- \textbf{Long lifetime} ($>0.2~{\rm{ps}}$)
- \begin{itemize}
- \item Inflaton \href{http://arxiv.org/abs/0912.0390v2}{{\color{blue}{JHEP 1005:010}}}
- \item Displaced vertex.
- \item Almost background free.
- \item Lower reconstruction efficiency.
- \end{itemize}
-
- \column{2.5in}
- \textbf{Short lifetime} ($\leq0.2~{\rm{ps}}$)
- \begin{itemize}
- \item Dark matter mediator \href{http://arxiv.org/abs/1310.6752}{{\color{blue}{ Phys. Lett. B727 }}}
- \item Axion \href{http://arxiv.org/abs/0911.5355}{{\color{blue}{Phys.Rev.D81}}}
- \item Prompt decay.
- \item Contaminated via SM decay.
- \end{itemize}
-
- \end{columns}
- \begin{columns}
- \column{0.1in}
- {~}
-
- \column{2.5in}
- \includegraphics[width=0.95\textwidth]{susy/displaced.png}
-
- \column{2.5in}
- \includegraphics[width=0.95\textwidth]{susy/prompt.png}
-
- \end{columns}
-
- \end{frame}
-
-
- %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%5
- \begin{frame}\frametitle{Selection}
- \begin{itemize}
- \item Trigger on muons.
- \item Multivariate selection: ${\rm{\mu BDT}}$ \href{http://arxiv.org/abs/1305.7248}{JINST 8(2013)}
- \begin{itemize}
- \item ${\rm{\mu BDT}}$ ensures flat efficiency in lifetime of $\chi$.
- \end{itemize}
- \item Optimized on Punzi figure-of-merit:
- \begin{align*}
- P_a = \dfrac{S}{\frac{5}{2}+\sqrt{B}},
- \end{align*}
- with $S$ and $B$ are signal and background yields.
- \item Factorize lifetime into two components: $\mathcal{L}=\mathcal{L}^{{\rm{prompt}}} \bigotimes \mathcal{L}^{{\rm{displaced}}}$
- \begin{itemize}
- \item Prompt: $\tau < 3\sigma_{\tau}$\\
- $\mapsto$ SM background of $\PBzero \to \PKstar \Pmuon \APmuon$
- \item Displeased: $\tau > 3\sigma_{\tau}$\\
- $\mapsto$ Almost background free.
- \end{itemize}
- \end{itemize}
-
-
-
- \end{frame}
-
-
- %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%5
- \begin{frame}\frametitle{Search strategy}
- \begin{columns}
-
- \column{0.05in}
- {~}
- \column{3.4in}
- \begin{itemize}
- \item $\PBzero$ mass constrained.
- \item Di-muon mass resolution $\sigma_m =1 -7~\MeV$.
- \item Scan $m_{{\rm test}}$ in steps of $0.5~\sigma_m$.
- \begin{itemize}
- \item {\color{orange}{Wide resonances}} can't affect the search.
- \item {\color{turtlegreen}{Narrows resonances}} we veto.
- \end{itemize}
- \item Calculations performed in each $m_{test}$ window.
- \end{itemize}
- \column{1.6in}
- \includegraphics[width=0.9\textwidth]{susy/williams.png}
- \end{columns}
-
-
- \end{frame}
-
-
- %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%5
- \begin{frame}\frametitle{Results}
-
- \includegraphics[width=0.95\textwidth]{susy/results.png}
-
- $\Rrightarrow$ Grey regions correspond to vetoed regions where narrow resonances are expected.\\
- $\Rrightarrow$ Largest deviation seen in $m_{\chi}=253~\MeV$.\\
- $\rightarrowtail$ Not statistically significant: local p-value $=0.2$.\\
-
- $\Rrightarrow$ \href{http://arxiv.org/abs/1508.04094}{\color{blue}{LHCb-PAPER-2015-036}} submited to PRL.
-
- \end{frame}
-
- %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%5
- \begin{frame}\frametitle{Branching fraction exclusion limit}
-
- \includegraphics[width=0.95\textwidth]{susy/limit.png}
-
- $\Rrightarrow$ No deviations from background only hypothesis is observed.
- \begin{itemize}
- \item We set a $95\%$ CL upper limit as function of mass and lifetime of the new particle (in the LHCb accessible range).
- \item Lower lifetimes have better limit due to higher reconstruction efficiency.
- \end{itemize}
-
-
- \end{frame}
-
- %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%5
- \begin{frame}\frametitle{Benchmark models}
-
-
-
- $\Rrightarrow$ Interpretation of the results in two specific models:\\{~}\\
-
- \includegraphics[width=1.05\textwidth]{susy/benchmarks.png}
- \end{frame}
-
-
- %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%5
- \begin{frame}\frametitle{Conclusion}
- \begin{itemize}
- \item A search for a dark boson in the decay channel\\ $\PBzero \to \PKstar \Pmuon \APmuon$ has been presented.
- \begin{itemize}
- \item No deviations from SM observed.
-
- \end{itemize}
- \item Results are the most constraining exclusion limit on the process.
- \item LHCb is suited for search for long lived particles.
- \item Stay tuned, more searches like this are on they way.
-
- \end{itemize}
-
-
-
- \end{frame}
-
-
- \backupbegin
-
- \begin{frame}\frametitle{Backup}
- \topline
-
- \end{frame}
-
- \backupend
-
- \end{document}