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Presentations / Others_presentations / fpcp_paul / pseyfertwhite.tex
@mchrzasz mchrzasz on 9 Jan 2013 47 KB first commit
  1. \documentclass[xcolor=dvipsnames]{beamer}
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  5. \mode<presentation>
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  17.  
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  39. %\setbeamercolor{frametitle right}{bg=gray!60!white}
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  42.  
  43. %\useinnertheme{rectangles}
  44. \useoutertheme{infolines}
  45.  
  46. %\loadgraphics{logo-pi-bunt3,lhcb-logo,unisiegel-gray}
  47. \newsavebox{\unilogo} \newsavebox{\pilogo} \newsavebox{\lhcblogo}
  48. \sbox{\unilogo}{\includegraphics[height=1.25cm]{../unisiegel-gray}}
  49. %\sbox{\pilogo}{\includegraphics[height=1.25cm]{logo-pi-bunt3}}
  50. \sbox{\pilogo}{\includegraphics[height=1.25cm]{../PI-Logo_bunt}}
  51. \sbox{\lhcblogo}{\includegraphics[height=1.25cm]{../lhcb-logo}}
  52.  
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  70.  
  71. \setbeamertemplate{frametitle}
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  88. }%
  89. }
  90.  
  91.  
  92. \usepackage[english]{babel}
  93. \usepackage[utf8]{inputenc}
  94. \usepackage{graphicx}
  95. \DeclareGraphicsRule{*}{mps}{*}{}
  96.  
  97. \usepackage{pgf}
  98. \usepackage{times}
  99. \usepackage[T1]{fontenc}
  100. \usepackage[mathscr]{eucal}
  101. \usepackage{mathrsfs}
  102.  
  103. % \usepackage{pgfpages}
  104. % \setbeameroption{show notes on second screen}
  105. %\pgfpagesuselayout{4 on 1}[a4paper,border shrink=5mm,landscape]
  106.  
  107. \usepackage{amsfonts}
  108. \usepackage{amsmath}
  109. \usepackage{verbatim}
  110. % \usepackage[amssymb]{SIunits}
  111. %\usepackage{natbib}
  112. \usepackage{amssymb}
  113. \usepackage{hepparticles}
  114. \usepackage{hepnicenames}
  115. \usepackage{hepunits}
  116. \usepackage{tikz}
  117. %\usetikzlibrary{trees}
  118. %\usetikzlibrary{decorations.pathmorphing}
  119. %\usetikzlibrary{decorations.markings}
  120. \usetikzlibrary{arrows}
  121. \usetikzlibrary{shapes}
  122. %\usetikzlibrary{positioning}
  123. %\usetikzlibrary{patterns}
  124. %\usetikzlibrary{fit}
  125. %\usepackage{verbatim}
  126.  
  127. \tikzstyle{decision} = [diamond, draw, fill=gray!20,
  128. text width=4.5em, text badly centered, node distance=3cm, inner sep=0pt]
  129. \tikzstyle{block} = [rectangle, draw, fill=blue!10,
  130. text width=5em, text centered, rounded corners, minimum height=2em]
  131. \tikzstyle{line} = [draw, -latex']
  132. \tikzstyle{cloud} = [draw, ellipse,fill=red!10, node distance=3cm,
  133. minimum height=2em]
  134.  
  135. \tikzstyle{every picture}+=[remember picture]
  136.  
  137.  
  138. \renewcommand{\PKs}{{\HepParticle{K}{S}{}\xspace}}
  139.  
  140.  
  141. \title[LFV and LNV]{Searches for Lepton Flavour Violation\newline and Lepton Number Violation in Hadron Decays}
  142. \titlegraphic{%\begin{center}{~~~~~~~~~~~}Flavour Physics and CP Violation 2012
  143. %\newline
  144.  
  145. \includegraphics[width=2.5cm]{../bmbf_engl.jpg}\hspace{7cm}\includegraphics[width=2cm]{fpcp_logo}
  146. %\end{center}
  147. }
  148. %\subtitle{T 60.1}
  149.  
  150. % \subtitle{}
  151. \author[Paul Seyfert]{Paul Seyfert\newline{\footnotesize{ on behalf of the LHCb collaboration\newline including results from the B factories}}}
  152. \institute[Heidelberg University]{Heidelberg University}
  153. \date[FPCP 2012]{Flavour Physics and CP Violation 2012}
  154. \subject{}
  155.  
  156. % \pgfdeclareimage[height=0.5cm]{university-logo}{3Ddoublewell}
  157. % \pgfdeclareimage[width=1.2cm]{university-logo}{weak}
  158. % \logo{\pgfuseimage{university-logo}}
  159. % \pgfdeclareimage[width=\paperwidth,height=\paperheight]{hbild}{condensate}
  160. % \usebackgroundtemplate{\pgfuseimage{hbild}}
  161.  
  162. \newcommand{\myhref}[2]{\href{#1}{\textcolor{blue}{#2}}}
  163. \begin{document}
  164. \begin{frame}
  165. \titlepage
  166. \end{frame}
  167.  
  168. \begin{frame}
  169. \frametitle{Outline}
  170. \tableofcontents
  171. \end{frame}
  172.  
  173. \begin{frame}
  174. \begin{center}
  175. {\Huge{Lepton Number Violation}}
  176.  
  177. {~}
  178.  
  179. \begin{itemize}
  180. \item {$\PDminus\to\Ppiplus/\PKplus\ell^{-}\ell^{-}$}
  181. \item {$\PBminus\to h^{+}\ell^{-}\ell^{-}$}
  182. \item {$\PBminus\to\PDzero\Ppiplus\Pmuon\Pmuon$}
  183. \end{itemize}
  184.  
  185. \end{center}
  186. \end{frame}
  187. %\section{LNV in $\PBminus/\PDminus\to h^{+}\Plepton^{-}\Plepton^{-}$} %LHCb LHCb (Belle ell) (BaBar ell other)
  188. \section{Lepton Number Violation}
  189. \begin{frame}{Lepton Number Violation}
  190. \begin{columns}
  191. \begin{column}{.75\textwidth}
  192. \begin{itemize}
  193. \item Lepton number is conserved in the Standard Model
  194. \item Lepton number violation introduced in many New Physics models, e.\,g.:
  195. {\footnotesize{
  196. \begin{itemize}
  197. \item 4$^{\rm{th}}$ quark generation\newline (\myhref{http://arxiv.org/abs/1106.0343}{\texttt{arXiv:hep-ph/1106.0343}})
  198. \item $SO(10)$ SUSY GUT\newline (\myhref{http://arxiv.org/abs/hep-ph/9501298}{\texttt{arXiv:hep-ph/9501298}})
  199. \item exotic Higgs\newline (A.\ Zee, \myhref{http://dx.doi.org/10.1016/0370-2693(80)90349-4}{Phys.\ Lett.\ B93, 389 (1980)})
  200. \end{itemize}
  201. }}
  202. \item Majorana neutrinos violate Lepton Number\newline
  203. classic search: neutrinoless double beta-decay ($\rightarrow$\myhref{http://hep.ustc.edu.cn/indico/contributionDisplay.py?contribId=36&confId=7}{Dongming Mei's talk})
  204. \item Similar fundamental process with mesons
  205. \end{itemize}
  206. \end{column}
  207. \begin{column}{.25\textwidth}
  208. \includegraphics[width=\textwidth]{double}
  209. \end{column}
  210. \end{columns}
  211. \end{frame}
  212.  
  213. \begin{frame}[t]
  214. \frametitle{LNV in meson decays}
  215. \begin{columns}\begin{column}{.5\textwidth}
  216. {\Large{$\PDplus\to\Ppiminus\APmuon\APmuon$}}
  217.  
  218. \includegraphics[width=\textwidth]{./D-Majorana}
  219. \begin{itemize}
  220. \item resonant production in accessible mass range
  221. \item rates depend on Majorana neutrino--lepton coupling $|V_{\mu 4}|$
  222. \newline {\footnotesize{(e.g.\ \myhref{http://arxiv.org/abs/0901.3589}{arXiv:0901.3589)}}}
  223. \item $m_4 = m_{\Plepton^{-},\Ppiplus}$
  224. \end{itemize}
  225. \end{column}
  226. \begin{column}{.5\textwidth}
  227. \invisible<1>{
  228. \includegraphics[width=.85\textwidth]{./exclusion}
  229.  
  230. {\footnotesize{\myhref{http://arxiv.org/abs/0901.3589}{\texttt{arXiv:0901.3589}}}}
  231. \begin{itemize}
  232. \item strong constraints from $\PK$ decays at low $m_4$
  233. \item high mass region accessible in $\PD$ and $\PB$ decays
  234. \end{itemize}
  235. }
  236. \end{column}
  237. \end{columns}
  238. \end{frame}
  239.  
  240. \begin{frame}[t]
  241. \frametitle{LNV in meson decays}
  242. \begin{columns}\begin{column}{.4\textwidth}
  243. {\Large{$\PDplus\to\Ppiminus\APmuon\APmuon$}}
  244.  
  245. \includegraphics[width=\textwidth]{./D-Majorana}
  246. {\footnotesize{\begin{itemize}
  247. \item resonant production in accessible mass range
  248. \item rates depend on Majorana neutrino--lepton coupling $|V_{\mu 4}|$
  249. \newline {\footnotesize{(e.g.\ \myhref{http://arxiv.org/abs/0901.3589}{arXiv:0901.3589)}}}
  250. \item $m_4 = m_{\Plepton^{-},\Ppiplus}$
  251. \end{itemize}}}
  252. \end{column}
  253. \begin{column}{.6\textwidth}
  254. {\includegraphics[width=.85\textwidth]{./exclusion}
  255.  
  256. Status of 2009
  257.  
  258. {\footnotesize{\myhref{http://arxiv.org/abs/0901.3589}{\texttt{arXiv:0901.3589}}}}
  259. %\begin{itemize}
  260. %\item strong constraints from $\PK$ decays at low $m_4$
  261. %\item high mass region accessible in $\PD$ and $\PB$ decays
  262. %\end{itemize}
  263. }
  264. \end{column}
  265. \end{columns}
  266. \end{frame}
  267.  
  268.  
  269.  
  270. \subsection{$\PDminus\to\Ppiplus/\PKplus\ell^{-}\ell^{-}$}
  271. \begin{frame}
  272. \frametitle{limits on LNV in charm decays}
  273. \begin{columns}
  274. {\begin{column}{.46\textwidth}
  275. %{\Large{$\PDplus\to h^{-}\ell^{+}\ell^{+}$}}
  276. {\Large{charm decays}}
  277. \begin{itemize}
  278. \item latest limits from BaBar% using $\unit{384}{\reciprocal\femtobarn}$
  279. %\item normalisation relative to $\PDs^{+}\to\Pphi(\PK\PK)\Ppi^{+}$
  280. %\item $\APelectron\Pelectron\to\PD\APD$
  281. \item includes Lepton Number and Flavour Violation
  282. \item comprehensive list of $\PDplus, \PDs^{+}, $ and $\Lambda_c^{+}$ decays
  283. \item<2> best limit for most channels
  284. \end{itemize}
  285. \only<1>{\includegraphics[width=.4\textwidth]{./babar}}
  286. %\only<2>{
  287. %{~}
  288. %
  289. %\includegraphics[width=\textwidth]{./DLNVpeaks}}
  290.  
  291.  
  292. %\only<2>{\begin{alertblock}{background sources}
  293. %\begin{itemize}
  294. %\item combinatorics
  295. %\item QED events
  296. %\item semileptonic decays
  297. %\item $\Ppizero, \Pphi$ resonance
  298. %\end{itemize}
  299. %\end{alertblock}}
  300. \end{column}
  301. \begin{column}{.5\textwidth}
  302. %\only<2>{
  303. %\begin{block}{Strategy}
  304. %\begin{itemize}
  305. %\item exclude semileptonic charm production
  306. %\item[$\Rightarrow$] reject most combinatorics
  307. %\item require 5 tracks and electron veto on hadron
  308. %\item[$\Rightarrow$] rejects QED background
  309. %\item vertex requirements reject semileptonic background
  310. %\end{itemize}
  311. %\end{block}
  312. %\begin{exampleblock}{Normalisation}
  313. %\begin{itemize}
  314. %\item Measure yield wrt.\ $\PD\to\Pphi(\PKplus\PKminus)\Ppi$
  315. %\item[$\Rightarrow$] most systematics cancel
  316. %\item PID as remaining systematics
  317. %\end{itemize}
  318. %\end{exampleblock}
  319. %}
  320. \only<1>{\includegraphics[width=\textwidth]{./babarcharmtableLNV}
  321.  
  322. {\footnotesize{\myhref{http://link.aps.org/doi/10.1103/PhysRevD.84.072006}{Phys.\ Rev.\ D \textbf{84}, 072006 (2011)}}}}
  323. \only<2>{\includegraphics[width=\textwidth]{./lnvhfag.pdf}}
  324. \end{column}}
  325. \end{columns}
  326. %\only<2>{
  327. %{~}
  328. %
  329. %{~}
  330. %
  331. %{\footnotesize{
  332. %$\mathcal{B}(\PDplus\to\Ppiminus\APelectron\APelectron)<1.1\times 10^{-6}$ by CLEO (Phys.\ Rev.\ D \textbf{82}, 092007 (2010))}}}
  333. \end{frame}
  334.  
  335.  
  336.  
  337. \subsection{qedewqdqewd}
  338.  
  339. \begin{frame}%[t]
  340. \frametitle{LNV in bottom decays}%$\PBminus\to h^{+}\ell^{-}\ell^{-}$}
  341. \only<1>{
  342. \Large{$\PBminus\to h^{+}\Plepton^{-}\Plepton^{-}$}
  343. }
  344. \only<2>{
  345. \begin{columns}\begin{column}{.5\textwidth}
  346. on-shell neutrino
  347.  
  348. \includegraphics[width=\textwidth]{pic/B-Majorana2.pdf}
  349. \end{column}
  350. {\begin{column}{.45\textwidth}
  351. virtual neutrino
  352.  
  353. \includegraphics[width=\textwidth]{pic/B-Majorana1.pdf}
  354. \end{column}
  355. }
  356. \end{columns}
  357. \begin{columns}
  358. \begin{column}{.5\textwidth}
  359. \begin{itemize}
  360. \item resonant production in accessible mass range
  361. \item rates depend on Majorana neutrino--lepton coupling $|V_{\mu 4}|$
  362. \newline {\footnotesize{(e.g.\ \myhref{http://arxiv.org/abs/0901.3589}{arXiv:0901.3589)}}}
  363. \item $m_4 = m_{\Plepton^{-},\Ppiplus}$
  364. \end{itemize}
  365. \end{column}
  366. {
  367. \begin{column}{.5\textwidth}
  368. \begin{exampleblock}{special for $\PB$ decays}
  369. %\begin{itemize}
  370. diagram without mass restriction
  371. Cabbibo favoured for $\PB\to\PD$
  372. %\end{itemize}
  373. \end{exampleblock}
  374. \end{column}
  375. }
  376. \end{columns}
  377. }
  378.  
  379. \end{frame}
  380.  
  381.  
  382. \begin{frame}{search for Majorana neutrinos at LHCb}
  383. \begin{columns}
  384. \begin{column}{.8\textwidth}
  385. \begin{itemize}
  386. \item searches at B factories in \myhref{http://hep.ustc.edu.cn/indico/contributionDisplay.py?contribId=4&confId=7}{Liang Sun's talk}
  387. \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}
  388. %\item $\unit{0.41}{\reciprocal\femtobarn}$ analysed
  389. \item consider topology in reconstruction
  390. \begin{itemize}
  391. \item allow for flight distance for on-shell neutrinos
  392. \item common vertex for virtual neutrinos
  393. \end{itemize}
  394. \end{itemize}
  395. \end{column}
  396. \begin{column}{.2\textwidth}
  397. \includegraphics[width=2cm]{../lhcb-logo}
  398. \end{column}
  399. \end{columns}
  400. \begin{columns}
  401. \begin{column}{.42\textwidth}
  402. \includegraphics[width=.7\textwidth]{reco}
  403. \end{column}
  404. \begin{column}{.52\textwidth}
  405. \includegraphics[width=.7\textwidth]{reco2}
  406. \end{column}
  407. \end{columns}
  408. \end{frame}
  409.  
  410.  
  411.  
  412.  
  413. \begin{frame}[t]
  414. \frametitle{virtual Majorana neutrinos}
  415.  
  416. %\begin{itemize}
  417. %\item best limits for $h = \PDplus, \PD^{*+}, \Ppiplus, \PDs$ from LHCb using $\unit{0.41}{\reciprocal\femtobarn}$ %, \PKplus
  418. %\item normalisation relative to $\PBplus\to\PKplus\PJpsi$ and $\PBplus\to\PKplus\Ppsi(2S)$
  419. %\end{itemize}
  420. \begin{columns}
  421. \only<1>{
  422. \begin{column}{.78\textwidth}
  423. \begin{block}{}
  424. %\begin{itemize}
  425. $\PBminus\to\PDplus\Pmuon\Pmuon\quad\quad\quad\quad\quad\quad\PBminus\to\PD^{*+}\Pmuon\Pmuon$
  426. %\end{itemize}
  427. \includegraphics[width=\textwidth]{./MassFitDp_.pdf}
  428. \end{block}
  429. \end{column}
  430. }
  431.  
  432.  
  433. \end{columns}
  434. \only<1>{{
  435. {~}
  436.  
  437.  
  438. $\mathcal{B}(\PBminus\to\PDplus\Pmuon\Pmuon)<6.9\times 10^{-7} \quad \quad \mathcal{B}(\PBminus\to\PD^{*+}\Pmuon\Pmuon)<2.4\times 10^{-6}$
  439. }}
  440.  
  441.  
  442. {@ 95\,\% CL}\hspace{.35\textwidth}
  443. {@ 95\,\% CL}
  444.  
  445. {~}
  446.  
  447. \begin{columns}
  448. \begin{column}{6.5cm}
  449. \end{column}
  450. \begin{column}{1.5cm}
  451. \includegraphics[width=\textwidth]{../lhcb-logo}
  452. \end{column}
  453. \begin{column}{4cm}
  454. \hspace{.4cm}
  455.  
  456. $\unit{0.41}{\reciprocal\femtobarn}$
  457.  
  458. {\footnotesize{\myhref{http://arxiv.org/abs/1201.5600}{\texttt{arXiv:1201.5600}}}}
  459.  
  460. \end{column}
  461. \end{columns}
  462.  
  463. %LHCb, arXiv:1201.5600
  464. %\includegraphics[width=.5\textwidth]{UpperAll}
  465. \end{frame}
  466.  
  467.  
  468. \begin{frame}[t]
  469. \frametitle{on-shell Majorana neutrinos}
  470.  
  471. \begin{itemize}
  472. %\item best limits for $h = \PDplus, \PD^{*+}, \Ppiplus, \PDs$ from LHCb using $\unit{0.41}{\reciprocal\femtobarn}$ %, \PKplus
  473. %\item normalisation relative to $\PBplus\to\PKplus\PJpsi$ and $\PBplus\to\PKplus\Ppsi(2S)$
  474. \item mis-identification rates from data with mass shape from simulation
  475. \end{itemize}
  476. \begin{columns}
  477.  
  478. \only<1>{
  479. \begin{column}{.72\textwidth}
  480. \begin{block}{}
  481. $\PBminus\to\Ppiplus\Pmuon\Pmuon\quad\quad\quad\quad\PBminus\to\PDs^{+}\Pmuon\Pmuon$
  482. \only<1>{\includegraphics[width=.44\textwidth]{./MassFitPi2}\hspace{.04\textwidth}\includegraphics[width=.46\textwidth]{./MassFitDs_}}
  483. \end{block}
  484. \end{column}
  485. }
  486.  
  487. \end{columns}
  488.  
  489.  
  490. \only<1>{{
  491. {~}
  492.  
  493. assuming $\PBminus$ phase space decay:
  494.  
  495. $\mathcal{B}(\PBminus\to\Ppiplus\Pmuon\Pmuon)<1.3\times 10^{-8} \quad \quad \mathcal{B}(\PBminus\to\PDs\Pmuon\Pmuon)<5.8\times 10^{-7}$
  496. }}
  497.  
  498. {@ 95\,\% CL}\hspace{.35\textwidth}
  499. {@ 95\,\% CL}
  500. \begin{columns}
  501. \begin{column}{6.5cm}
  502. \end{column}
  503. \begin{column}{1.5cm}
  504. \includegraphics[width=\textwidth]{../lhcb-logo}
  505. \end{column}
  506. \begin{column}{4cm}
  507. \hspace{.4cm}
  508.  
  509. $\unit{0.41}{\reciprocal\femtobarn}$
  510.  
  511. {\footnotesize{\myhref{http://arxiv.org/abs/1201.5600}{\texttt{arXiv:1201.5600}}}}
  512.  
  513. \end{column}
  514. \end{columns}
  515.  
  516.  
  517. %LHCb, arXiv:1201.5600
  518. %\includegraphics[width=.5\textwidth]{UpperAll}
  519. \end{frame}
  520.  
  521.  
  522. \begin{frame}
  523. \frametitle{implications on Majorana mass}
  524. \begin{exampleblock}{mass extraction}
  525. Determine limit as function of $h^{+}\Pmuon$ mass
  526. \end{exampleblock}
  527. {\begin{center}
  528. $\PBminus\to\Ppiplus\Pmuon\Pmuon\quad\quad\quad\PBminus\to\PDs^{+}\Pmuon\Pmuon$
  529.  
  530. {~}
  531.  
  532. \includegraphics[width=.82\textwidth]{./UpperTwoBody}\end{center}}
  533.  
  534. \begin{columns}
  535. \begin{column}{6.5cm}
  536. \end{column}
  537. \begin{column}{1.2cm}
  538. \includegraphics[width=\textwidth]{../lhcb-logo}
  539. \end{column}
  540. \begin{column}{4cm}
  541. \hspace{.4cm}
  542.  
  543. $\unit{0.41}{\reciprocal\femtobarn}$
  544.  
  545. {\footnotesize{\myhref{http://arxiv.org/abs/1201.5600}{\texttt{arXiv:1201.5600}}}}
  546.  
  547. \end{column}
  548. \end{columns}
  549.  
  550.  
  551. \end{frame}
  552.  
  553. \begin{frame}
  554. \frametitle{new bounds for on shell Majorana neutrinos}
  555. %LHCb starts to explore the region of $m_4>\unit{2}{\GeV}$
  556.  
  557. %{~}
  558.  
  559. %\only<2>{\includegraphics[width=.48\textwidth]{./constrain.pdf}\includegraphics[width=.48\textwidth]{./boundsUmu.pdf}}
  560. \begin{columns}
  561. \begin{column}{.4\textwidth}
  562. LHCb limit on $|V_{\mu 4}|$
  563.  
  564. \includegraphics[width=.98\textwidth]{./constrain.pdf}
  565.  
  566. {\includegraphics[width=1.2cm]{../lhcb-logo}~~{\footnotesize{\myhref{http://arxiv.org/abs/1201.5600}{\texttt{arXiv:1201.5600}}}}}
  567. \end{column}
  568. \begin{column}{.55\textwidth}
  569. Status of 2009
  570.  
  571. \includegraphics[width=.98\textwidth]{./vmu4mod}
  572.  
  573. {\footnotesize{\myhref{http://arxiv.org/abs/0901.3589}{\texttt{arXiv:0901.3589}}}}
  574. \end{column}
  575. \end{columns}
  576. \end{frame}
  577.  
  578.  
  579.  
  580.  
  581.  
  582. \subsection{$\PBminus\to\PDzero\Ppiplus\Pmuon\Pmuon$}
  583. %\section{LNV in $\PBminus\to h^{0} h^{\prime+}\Plepton^{-}\Plepton^{-}$} %LHCb
  584. \begin{frame}{$\PBminus\to\PDzero \Ppiplus\Pmuon\Pmuon$}
  585. \begin{columns}\begin{column}{.5\textwidth}
  586. \includegraphics[width=\textwidth]{./B-Majorana3}
  587. \end{column}
  588. \end{columns}
  589. \begin{itemize}
  590. \item Four body $\PB$ decay complementary to three body decay\newline{\footnotesize{ (\myhref{http://arxiv.org/abs/1108.6009}{\texttt{arXiv:1108.6009}})}}
  591. %\item Constraints predict $\mathcal{B}(\PB\to\PD\ell\ell)<10^{-6}$
  592. \item $m_4=m(\Ppiplus\Pmuon)$
  593. \item[+] enhanced by $\PW$ couplings
  594. \item[-] smaller mass range accessible ($\unit{260}{\MeV}<m_4<\unit{3.3}{\GeV}$)
  595. \item first performed at LHCb
  596. \end{itemize}
  597.  
  598. \end{frame}
  599.  
  600.  
  601.  
  602. \begin{frame}
  603. \frametitle{$\PBminus\to\PDzero \Ppiplus\Pmuon\Pmuon$}
  604.  
  605. \includegraphics[width=.47\textwidth]{./MassFitD0}\includegraphics[width=.47\textwidth]{./UpperThreeBody}
  606.  
  607. {~}
  608. \begin{columns}
  609. \begin{column}{.8\textwidth}
  610. \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}}}
  611. \smallskip
  612.  
  613. \hspace{.1\textwidth} Less restrictive than $\PBminus\to\Ppiplus\Pmuon\Pmuon$ on $|V_{\mu 4}|^2$
  614. \end{column}
  615. \begin{column}{.2\textwidth}
  616. \includegraphics[width=1.3cm]{../lhcb-logo}
  617. \end{column}
  618. \end{columns}
  619. \end{frame}
  620.  
  621.  
  622.  
  623. %\begin{frame}
  624. %\frametitle{Sensitivity to long lived Majorana neutrinos}
  625. %\begin{itemize}
  626. %\item analysis allows for neutrino flight distance
  627. %\item probes only Majorana neutrinos decaying inside the detector
  628. %\item sensitivity to lifetime provided
  629. %\end{itemize}
  630. %
  631. %{\footnotesize{
  632. %\begin{tabular}{p{.31\textwidth}p{.32\textwidth}p{.34\textwidth}}
  633. %a) $\PBminus\to\Ppiplus\Pmuon\Pmuon$&b) $\PBminus\to\PDs^{+}\Pmuon\Pmuon$&c) $\PBminus\to\PDzero\Ppiplus\Pmuon\Pmuon$\\
  634. %$\unit{250}{\MeV}<m_4<\unit{5}{\GeV}$&$\unit{2.1}{\GeV}<m_4<\unit{5.15}{\GeV}$&$\unit{260}{\MeV}<m_4<\unit{3.3}{\GeV}$
  635. %\end{tabular}}}
  636. %\includegraphics[width=\textwidth]{./Lifetime-eff}
  637. %
  638. %{~}
  639. %\begin{itemize}
  640. %\item sensitive to lifetimes $<10^{-10}\,\text{s}$
  641. %\item $\PBminus\to\PDzero\Ppiplus\Pmuon\Pmuon$ better sensitive to ``large'' lifetimes
  642. %\end{itemize}
  643. %
  644. %\end{frame}
  645.  
  646. \begin{frame}
  647. \frametitle{Summary on LNV in $\PB$ decays}
  648.  
  649. \begin{columns}
  650. \begin{column}{.65\textwidth}
  651. \footnotesize{
  652. \begin{tabular}{lclr}
  653. channel & limit & & \\\hline
  654. $\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}}\\
  655. $\mathcal{B}(\PBminus\to\PK^{+}\Pelectron\Pelectron) $ & $<3.0\times 10^{-8}$ & @$90\,\%$ CL &\includegraphics[height=.25cm]{babar}\footnotesize{$^{\text{\ref{babarB}}}$}\\
  656. $\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}}\\
  657. $\mathcal{B}(\PBminus\to\Prho^{+}\Pelectron\Pelectron) $ & $<2.6\times 10^{-6}$ & @$90\,\%$ CL & \includegraphics[height=.25cm]{cleo}\footnotesize{$^{\text{\ref{cleolnv}}}$}\\
  658. $\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}}\\
  659. $\mathcal{B}(\PBminus\to\PD^{+}\Pelectron\Pmuon) $ & $<1.8\times 10^{-6}$ & @$90\,\%$ CL & \includegraphics[height=.25cm]{belle2-logo}\footnotesize{$^{\text{\ref{bellelnv}}}$}\\
  660. $\mathcal{B}(\PBminus\to\Ppi^{+}\Pmuon\Pmuon)$ & $<1.3\times 10^{-8}$ & @$95\,\%$ 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}} \\
  661. $\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)} \\
  662. %$\mathcal{B}(\PBminus\to\PK^{*+}\Pmuon\Pmuon) $ & $<4.4\times 10^{-6}$ & @$90\,\%$ CL & \includegraphics[height=.25cm]{cleo}\footnotesize{$^{\text{\ref{cleolnv}}}$}\\
  663. %$\mathcal{B}(\PBminus\to\Prho^{+}\Pmuon\Pmuon) $ & $<5.0\times 10^{-6}$ & @$90\,\%$ CL & \footnotesize{$^{\text{\ref{cleolnv}}}$}\\
  664. $\mathcal{B}(\PBminus\to\PD^{+}\Pmuon\Pmuon) $ & $<6.9\times 10^{-7}$ & @$95\,\%$ CL & \includegraphics[height=.25cm]{../lhcb-logo}\footnotesize{$^{\text{\ref{xxxxx}}}$}\\
  665. $\mathcal{B}(\PBminus\to\PD^{*+}\Pmuon\Pmuon)$ & $<2.4\times 10^{-6}$ & @$95\,\%$ CL & \includegraphics[height=.25cm]{../lhcb-logo}\footnotesize{$^{\text{\ref{xxxxx}}}$}\\
  666. $\mathcal{B}(\PBminus\to\PDs^{+}\Pmuon\Pmuon)$ & $<5.8\times 10^{-7}$ & @$95\,\%$ CL & \includegraphics[height=.25cm]{../lhcb-logo}\footnotesize{$^{\text{\ref{xxxxx}}}$}\\
  667. $\mathcal{B}(\PBminus\to\PDzero\Ppiminus\Pmuon\Pmuon)$ & $<1.5\times 10^{-6}$ & @$95\,\%$ CL & \includegraphics[height=.25cm]{../lhcb-logo}\footnotesize{$^{\text{\ref{xxxxx}}}$}\\
  668. \hline
  669. \end{tabular}
  670. }
  671. \end{column}
  672. \end{columns}
  673.  
  674. \end{frame}
  675. \section{Lepton Flavour Violation}
  676. \begin{frame}
  677. \begin{center}
  678. {\Huge{Lepton Flavour Violation}}
  679.  
  680. {~}
  681.  
  682. \begin{itemize}
  683. \item {$\PDminus\to h^{-} \ell^{+}\ell^{\prime -}$}
  684. \item {$\PBminus\to\Ppiminus/\PKminus\Ptau^{\pm}\ell^{\mp}$}
  685. \item $\Ptauon\to\Pmuon\Pmuon\APmuon$
  686. \end{itemize}
  687. \end{center}
  688. \end{frame}
  689.  
  690. \subsection{$\PDminus\to h^{-} \ell^{+}\ell^{\prime -}$}
  691. %\section{LFV in $\PBminus/\PDminus\to h^{-}\Plepton^{-}\Plepton^{\prime +}$ decays} %Belle, BaBar
  692. \begin{frame}[t]
  693. \frametitle{Lepton Flavour Violation}
  694.  
  695. \begin{columns}
  696. \begin{column}{.45\textwidth}
  697. \begin{itemize}
  698. \item established for neutrinos
  699. \item can enter charged sector in loops
  700. \item predicted rates unmeasurable small
  701. \item<2>enhancement predicted in many New Physics models, e.g.
  702. \end{itemize}
  703. \end{column}
  704.  
  705. \begin{column}{.55\textwidth}
  706. \only<1>{
  707. Standard Model + neutrino oscillation
  708.  
  709. \begin{center}
  710. ${\PDplus\to\Ppiplus\Pmuon\APelectron}$
  711. \end{center}
  712.  
  713. \begin{fmffile}{smlfv}
  714. %\begin{figure}
  715. %\begin{fmffile}{peng}
  716. \begin{fmfgraph*}(170,100)
  717. %bottom and top verticies
  718. \fmfstraight
  719. \fmfleft{i2,i3,i4,i5}
  720. \fmfright{o2,o3,o4,o5}
  721.  
  722. %\fmf{fermion,lab.side=left,label=$d$}{i0,o0}
  723.  
  724. \fmf{phantom}{i4,g1}
  725. \fmfipath{p[]}
  726.  
  727. \fmf{plain,label=$\Pnum\to\Pnue$,tag=1}{g1,g2}
  728.  
  729. \fmf{fermion,lab.side=left,label=$\APelectron$}{o4,g2}
  730. \fmf{phantom,lab.side=right,label=$\PDplus$}{i2,i3}
  731. \fmf{phantom,lab.side=right,label=$\Ppiplus$}{o2,o3}
  732. \fmf{fermion,lab.side=right,label=$\Pcharm$}{i3,g3}
  733. \fmf{fermion,lab.side=right,label=$\Pstrange/\Pdown$}{g3,g4}
  734. \fmf{fermion,lab.side=right,label=$\Pup$}{g4,o3}
  735. \fmf{fermion,lab.side=left,label=$\APdown$}{o2,i2}
  736.  
  737.  
  738. \fmffreeze
  739. \fmfiset{p1}{vpath1(__g1,__g2)}
  740. \fmfiv{d.sh=cross,d.ang=0,d.size=5thick}{point length(p1)/2 of p1}
  741.  
  742. %\fmf{fermion}{g2,o4}
  743. %\fmf{fermion}{i3,g3,g4,o3}
  744. %\fmf{fermion}{o2,i2}
  745.  
  746. \fmffreeze
  747.  
  748. \fmf{fermion,lab.side=left,label=$\Pmuon$}{g1,o5}
  749. %\fmf{fermion}{g2,o4}
  750. \fmf{dashes,lab.side=right,label=$\PW$}{g1,g3}
  751. \fmf{dashes,lab.side=left,label=$\PW$}{g2,g4}
  752.  
  753. % \fmfipath{p[]}
  754. % \fmf{plain,tension=0,right,label={$\Pgngt\to\Pgngm$},tag=1}{w1,w2}
  755. % \fmffreeze
  756. % \fmfiset{p1}{vpath1(__w1,__w2)}
  757. % \fmfiv{d.sh=cross,d.ang=0,d.size=5thick}{point length(p1)/2 of p1}
  758.  
  759.  
  760.  
  761. \end{fmfgraph*}
  762.  
  763. \end{fmffile}
  764. }
  765. \only<2>{
  766. extended Higgs
  767.  
  768. \begin{center}
  769. ${\PDplus\to\Ppiplus\Pmuon\APelectron}$
  770. \end{center}
  771.  
  772.  
  773.  
  774. \begin{fmffile}{multihiggs}
  775. %\begin{figure}
  776. %\begin{fmffile}{peng}
  777. \begin{fmfgraph*}(170,80)
  778. %bottom and top verticies
  779. \fmfstraight
  780. \fmfleft{i2,i3,i4,i5}
  781. \fmfright{o2,o3,o4,o5}
  782.  
  783. %\fmf{fermion,lab.side=left,label=$d$}{i0,o0}
  784.  
  785. \fmf{phantom}{i4,g1}
  786.  
  787.  
  788. \fmf{fermion,lab.side=left,label=$\APelectron$}{o4,g1}
  789. \fmf{phantom,lab.side=right,label=$\PDplus$}{i2,i3}
  790. \fmf{phantom,lab.side=right,label=$\Ppiplus$}{o2,o3}
  791. \fmf{fermion,lab.side=right,label=$\Pcharm$}{i3,g3}
  792. \fmf{fermion,lab.side=right,label=$\Pdown$}{g3,o3}
  793. \fmf{fermion,lab.side=left,label=$\APdown$}{o2,i2}
  794.  
  795.  
  796. \fmffreeze
  797.  
  798. %\fmf{fermion}{g2,o4}
  799. %\fmf{fermion}{i3,g3,g4,o3}
  800. %\fmf{fermion}{o2,i2}
  801.  
  802. \fmffreeze
  803.  
  804. \fmf{fermion,lab.side=left,label=$\Pmuon$}{g1,o5}
  805. %\fmf{fermion}{g2,o4}
  806. \fmf{dashes,lab.side=right,label=$\Phi_S$}{g1,g3}
  807.  
  808. % \fmfipath{p[]}
  809. % \fmf{plain,tension=0,right,label={$\Pgngt\to\Pgngm$},tag=1}{w1,w2}
  810. % \fmffreeze
  811. % \fmfiset{p1}{vpath1(__w1,__w2)}
  812. % \fmfiv{d.sh=cross,d.ang=0,d.size=5thick}{point length(p1)/2 of p1}
  813.  
  814.  
  815.  
  816. \end{fmfgraph*}
  817.  
  818. \end{fmffile}
  819. }
  820. \end{column}
  821. \end{columns}
  822. \only<2>{
  823. \begin{itemize}
  824. \item multi-Higgs extensions\footnote{ \invisible<1>{\myhref{http://link.aps.org/doi/10.1103/PhysRevD.44.1461}{Phys.\ Rev.\ D \textbf{44}, 1461}}}
  825. \item leptoquarks\footnote{ \invisible<1>{\myhref{http://arxiv.org/abs/hep-ph/9309310}{Z.\ Phys.\ C \textbf{61}, 613}}}
  826. \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}}}
  827. \end{itemize}
  828. }
  829. \end{frame}
  830.  
  831. \begin{frame}
  832. \frametitle{LFV in charm decays}
  833. \begin{columns}
  834. %\begin{column}{.5\textwidth}
  835. %\begin{itemize}
  836. %\item same analysis as LNV search
  837. %\end{itemize}
  838. %\includegraphics[width=\textwidth]{./babarLFV}
  839. %\end{column}
  840. %\begin{column}{.5\textwidth}
  841. %\includegraphics[width=\textwidth]{./babarcharmtableLFV}
  842. %
  843. %{\footnotesize{Phys.\ Rev.\ D \textbf{84}, 072006 (2011)}}
  844. %\end{column}
  845. \begin{column}{.93\textwidth}
  846. \includegraphics[width=\textwidth]{./lfvhfag2}
  847. \end{column}
  848. \end{columns}
  849. {~}
  850.  
  851. \myhref{http://gersabec.web.cern.ch/gersabec/hfag/rare/rare_charm.html}{[HFAG]}
  852. \end{frame}
  853.  
  854. %\section{LFV in $\PBminus\to h^{-}\ell^{+}\ell^{\prime -}$} %BaBar tau, other
  855. \subsection{$\PBminus\to\Ppiminus/\PKminus\Ptau^{\pm}\ell^{\mp}$}
  856. \begin{frame}
  857. \frametitle{LFV in bottom decays}
  858. \begin{center}
  859.  
  860. \begin{fmffile}{multihiggs2}
  861. %\begin{figure}
  862. %\begin{fmffile}{peng}
  863. \begin{fmfgraph*}(200,80)
  864. %bottom and top verticies
  865. \fmfstraight
  866. \fmfleft{i2,i3,i4,i5}
  867. \fmfright{o2,o3,o4,o5}
  868.  
  869. %\fmf{fermion,lab.side=left,label=$d$}{i0,o0}
  870.  
  871. \fmf{phantom}{i4,g1}
  872.  
  873.  
  874. \fmf{fermion,lab.side=left,label=$\APmuon$}{o4,g1}
  875. \fmf{fermion,lab.side=right,label=$\Pbottom$}{i3,g3}
  876. \fmf{fermion,lab.side=right,label=$\Pstrange$}{g3,o3}
  877. \fmf{fermion,lab.side=left,label=$\APup$}{o2,i2}
  878.  
  879.  
  880. \fmffreeze
  881.  
  882. %\fmf{fermion}{g2,o4}
  883. %\fmf{fermion}{i3,g3,g4,o3}
  884. %\fmf{fermion}{o2,i2}
  885.  
  886. \fmffreeze
  887.  
  888. \fmf{fermion,lab.side=left,label=$\Ptauon$}{g1,o5}
  889. %\fmf{fermion}{g2,o4}
  890. \fmf{dashes,lab.side=right,label=$\Phi_S$}{g1,g3}
  891.  
  892. % \fmfipath{p[]}
  893. % \fmf{plain,tension=0,right,label={$\Pgngt\to\Pgngm$},tag=1}{w1,w2}
  894. % \fmffreeze
  895. % \fmfiset{p1}{vpath1(__w1,__w2)}
  896. % \fmfiv{d.sh=cross,d.ang=0,d.size=5thick}{point length(p1)/2 of p1}
  897.  
  898.  
  899.  
  900. \end{fmfgraph*}
  901.  
  902. \end{fmffile}
  903. \end{center}
  904.  
  905. {~}
  906.  
  907. \begin{itemize}
  908. \item LFV $\Ptau$ sector not probed by $\PD$ decays
  909. \item enough energy available in $\PB$ decays
  910. \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}}
  911. \item challenging: neutrino in $\Ptau$ decay similar to $\PB\to X\ell\nu$
  912. \end{itemize}
  913. \end{frame}
  914.  
  915.  
  916. \begin{frame}
  917. \frametitle{LFV in bottom decays}
  918. %\includegraphics[height=2cm]{babar}\hspace{.2cm}{\texttt{arXiv:1204.2852v2}}
  919. \begin{columns}
  920. \begin{column}{.6\textwidth}
  921. {\footnotesize{
  922. \begin{tabular}{lclr}
  923. channel & limit & & \\\hline
  924. $\mathcal{B}(\PBplus\to\PKplus\Ptauon\APmuon)$ & $<4.5\times 10 ^{-5}$ & \includegraphics[height=.25cm]{babarlong}{\footnotesize{a}}\\%\\
  925. $\mathcal{B}(\PBplus\to\PKplus\APtauon\Pmuon)$ & $<2.8\times 10 ^{-5}$ & \includegraphics[height=.25cm]{babarlong}{\footnotesize{a}}\\%\\
  926. $\mathcal{B}(\PBplus\to\PKplus\Ptauon\APelectron)$ & $<4.3\times 10 ^{-5}$ & \includegraphics[height=.25cm]{babarlong}{\footnotesize{a}}\\%\\
  927. $\mathcal{B}(\PBplus\to\PKplus\APtauon\Pelectron)$ & $<1.5\times 10 ^{-5}$ & \includegraphics[height=.25cm]{babarlong}{\footnotesize{a}}\\%\\
  928. $\mathcal{B}(\PBplus\to\Ppiplus\Ptauon\APmuon)$ & $<6.2\times 10 ^{-5}$ & \includegraphics[height=.25cm]{babarlong}{\footnotesize{a}}\\%\\
  929. $\mathcal{B}(\PBplus\to\Ppiplus\APtauon\Pmuon)$ & $<4.5\times 10 ^{-5}$ & \includegraphics[height=.25cm]{babarlong}{\footnotesize{a}}\\%\\
  930. $\mathcal{B}(\PBplus\to\Ppiplus\Ptauon\APelectron)$ & $<7.4\times 10 ^{-5}$ & \includegraphics[height=.25cm]{babarlong}{\footnotesize{a}}\\%\\
  931. $\mathcal{B}(\PBplus\to\Ppiplus\APtauon\Pelectron)$ & $<2.0\times 10 ^{-5}$ & \includegraphics[height=.25cm]{babarlong}{\footnotesize{a}}\\%
  932. $\mathcal{B}(\PBplus\to\Ppiplus\Pmu^{\pm}\Pe^{\mp})$ & $<1.7\times 10 ^{-7}$ & \includegraphics[height=.25cm]{babarlong}{\footnotesize{b}}\\%\footnote{BaBar, Phys.\ Rev.\ Let.\ \textbf{99}, 051801 (2007)\label{babar..}}\\
  933. $\mathcal{B}(\PBplus\to\PKplus\APmuon\Pelectron)$ & $<9.1\times 10 ^{-8}$ & \includegraphics[height=.25cm]{babarlong}{\footnotesize{b}}%\footnotesize{$^{\text{\ref{babar..}}}$}
  934. \end{tabular}
  935.  
  936. }}
  937. \end{column}
  938. \begin{column}{.4\textwidth}
  939. details in \myhref{http://hep.ustc.edu.cn/indico/contributionDisplay.py?contribId=28&confId=7}{talk of Giovanni Marchiori}
  940.  
  941. {~}
  942.  
  943. \begin{block}{LFV energy scale}
  944. \vspace{-.5cm}
  945. \begin{align*}
  946. \Lambda_{\APbottom\Pdown}:&\\
  947. \unit{2.2}{\TeV}&\rightarrow \unit{11}{\TeV}\\
  948. \Lambda_{\APbottom\Pstrange}:&\\
  949. \unit{2.6}{\TeV}&\rightarrow \unit{15}{\TeV}
  950. \end{align*}
  951. \end{block}
  952. %{\footnotesize{Phys.\ Rev.\ D \textbf{66}, 053002}}
  953. %
  954. %
  955. \end{column}
  956. \end{columns}
  957. {~}
  958.  
  959. {~}
  960.  
  961. {\footnotesize{a: BaBar, \myhref{http://arxiv.org/abs/1204.2852}{arXiv:1204.2852}, $\unit{429}{\reciprocal\femtobarn}$}}
  962.  
  963. {\footnotesize{b: BaBar, \myhref{http://link.aps.org/doi/10.1103/PhysRevLett.99.051801}{Phys.\ Rev.\ Let.\ \textbf{99}, 051801} (2007), $\unit{209}{\reciprocal\femtobarn}$}}
  964. \end{frame}
  965.  
  966.  
  967.  
  968. %\section{other LFV probes from charm} % \tau\to\mu\mu\mu
  969. %\begin{frame}
  970. %\frametitle{$\Ptau\to\Pmu\Pmu\Pmu$}
  971. %\begin{exampleblock}{LFV in $\Ptau$ decays}
  972. %\begin{itemize}
  973. %\item dominated by B factories in $\APtauon\Ptauon$ production \newline
  974. %see next talk by Francesco Renga
  975. %\item also possible to probe with semileptonic $\Ptau$ production
  976. %\item $\PDs^{+}\to\APmuon\APmuon\Pmuon\Pnut$
  977. %\item normalisation with $\PDs\to\Pphi(\Pmuon\APmuon)\Ppi$
  978. %\item[$\Rightarrow$] chance to probe $\Ptau$ decays at hadron colliders
  979. %\end{itemize}
  980. %\end{exampleblock}
  981. %
  982. %\end{frame}
  983.  
  984. \section{$\Ptauon\to\Pmuon\Pmuon\APmuon$ at hadron colliders -- {first time shown!}}
  985. \begin{frame}
  986. \frametitle{$\Ptauon\to\Pmuon\Pmuon\APmuon$ at hadron colliders}
  987. \begin{columns}
  988. \begin{column}{.5\textwidth}
  989. \begin{itemize}
  990. \item in Standard Model + neutrino oscillation introduced in penguin diagrams
  991. \item highly suppressed ($\mathcal{B}\ll 10^{-50}$)
  992. \item enhanced by e.g. charged Higgs
  993. \item best measurements conducted at B factories (\myhref{http://hep.ustc.edu.cn/indico/contributionDisplay.py?contribId=43&confId=7}{Francesco Renga's talk})
  994. \item[!] also possible at hadron colliders
  995. \end{itemize}
  996. \end{column}
  997. \begin{column}{.5\textwidth}
  998. %\only<1>{
  999. \begin{fmffile}{smtau}
  1000. %\begin{figure}
  1001. %\begin{fmffile}{peng}
  1002. \begin{fmfgraph*}(170,80)
  1003. %bottom and top verticies
  1004. \fmfstraight
  1005. \fmfleft{is3,is2,is1,i1,i2,i3,i4,i5,i6}
  1006. \fmfright{os3,os2,os1,o1,o2,o3,o4,o5,o6}
  1007.  
  1008. %\fmf{fermion,lab.side=left,label=$d$}{i0,o0}
  1009.  
  1010. \fmf{phantom}{o1,g1}
  1011. \fmf{phantom,tension=1.5}{g1,i1}
  1012.  
  1013. \fmffreeze
  1014.  
  1015. \fmf{photon, tension=2.,lab.side=left, lab=$\Pphoton/\PZ$}{g1,g2}
  1016. \fmf{fermion,lab.side=left,label=$\APmuon$}{o3,g2}
  1017. \fmf{fermion,lab.side=left,label=$\Pmuon$}{g2,o5}
  1018. \fmf{phantom,tension=1.5}{i6,g2}
  1019.  
  1020. \fmffreeze
  1021.  
  1022.  
  1023. \fmf{fermion,lab.side=left,label=$\Pgtm$}{i1,w1}
  1024. \fmf{dashes,lab.side=right,label=$\PWminus$}{w1,w2}
  1025. \fmf{fermion,lab.side=right,label=$\Pmuon$}{w2,o1}
  1026.  
  1027. % \fmf{fermion}{i1,w1}
  1028. % \fmf{fermion}{w1,g1}
  1029. % \fmf{fermion,tension=2}{g1,w2}
  1030. % \fmf{fermion}{w2,o1}
  1031.  
  1032. \fmfipath{p[]}
  1033. \fmf{plain,tension=0,right,label={$\Pgngt\to\Pgngm$},tag=1}{w1,w2}
  1034. \fmffreeze
  1035. \fmfiset{p1}{vpath1(__w1,__w2)}
  1036. \fmfiv{d.sh=cross,d.ang=0,d.size=5thick}{point length(p1)/2 of p1}
  1037.  
  1038. % \fmfv{lab=g1}{g1}
  1039. % \fmfv{lab=g2}{g2}
  1040. % \fmfv{lab=w1}{w1}
  1041. % \fmfv{lab=w2}{w2}
  1042.  
  1043. \end{fmfgraph*}
  1044.  
  1045. %\caption{Test 4. is $\propto e^{0}$}
  1046. %\end{figure}
  1047. \end{fmffile}
  1048. %}
  1049.  
  1050. {~}
  1051.  
  1052.  
  1053. {~}
  1054.  
  1055. %\only<2>{
  1056. \begin{fmffile}{chargedhiggs}
  1057. \begin{fmfgraph*}(170,80)
  1058.  
  1059. \fmfstraight
  1060.  
  1061. \fmfleft{i}
  1062. \fmfright{o1,o2,o3}
  1063. \fmf{phantom}{i,g,o2}
  1064. \fmffreeze
  1065. \fmf{fermion,lab.side=right,label=$\Ptauon$}{i,g}
  1066. \fmf{dashes,tension=2,lab.side=left,label=$H^{--}$}{g,h}
  1067. \fmf{fermion,lab.side=left,label=$\APmuon$}{o1,g}
  1068. \fmf{fermion,lab.side=right,label=$\Pmuon$}{h,o2}
  1069. \fmf{fermion,lab.side=left,label=$\Pmuon$}{h,o3}
  1070.  
  1071. \end{fmfgraph*}
  1072. \end{fmffile}
  1073. %}
  1074.  
  1075.  
  1076. \end{column}
  1077. \end{columns}
  1078.  
  1079. \end{frame}
  1080.  
  1081. \begin{frame}[t]
  1082. \frametitle{$\Ptau\to\Pmu\Pmu\Pmu$ in hadron collisions}
  1083. \begin{columns}
  1084. \begin{column}{.45\textwidth}
  1085. \begin{exampleblock}{$\Ptau$ sources at B factories}
  1086. \begin{itemize}
  1087. \item $\APelectron\Pelectron\to\APtauon\Ptauon$
  1088. \item allows $\tau$ tag
  1089. \end{itemize}
  1090. \end{exampleblock}
  1091. %\visible<2>{
  1092. %\begin{block}{$\dagger$ cross section}
  1093. %\begin{itemize}
  1094. %\item $\Pbottom\APbottom$ production\newline \myhref{http://arxiv.org/abs/arXiv:1103.0423}{Eur.\ Phys.\ J.\ C \textbf{71} 1645 (2011)}
  1095. %\item $\Pcharm\APcharm$ production\newline \myhref{http://cdsweb.cern.ch/record/1311236}{LHCb-CONF-2010-013}
  1096. %\item branching fractions from PDG\newline (LEP \& B factories)
  1097. %\end{itemize}
  1098. %\end{block}
  1099. %}
  1100. \end{column}
  1101. \begin{column}{.45\textwidth}
  1102. \begin{alertblock}{$\Ptau$ sources at the LHC}
  1103. \begin{itemize}
  1104. \item inclusive $\Ptau$ cross section $79.5\pm\unit{8.3}{\micro\barn}$ at $\sqrt{s}=\unit{7}{\TeV}$ in the LHCb acceptance% $^{\dagger}$
  1105. \item[$\rightarrow$] $7.9\times 10^{10}\, \Ptau$ produced% in 2011
  1106. \item dominant: $\PDs\to\Ptau\Pnut$ ($78\%$)
  1107. \item[!] no $\tau$ tag possible
  1108. \item standard $\tau$ signatures very similar to $\PD$ decays
  1109. \newline($\PDplus\to\Ppiplus\Ppiminus\Ppiplus\Ppizero$\newline vs.\ $\APtauon\to\Ppiplus\Ppiminus\Ppiplus\APnut$)
  1110. \end{itemize}
  1111. \end{alertblock}
  1112. \end{column}
  1113. \end{columns}
  1114. %\begin{exampleblock}{Normalisation channel}
  1115. %\begin{itemize}
  1116. %\item use $\mathcal{B}(\PDs\to\Pphi\Ppi)$ and $\mathcal{B}(\PDs\to\Ptau\Pnut)$
  1117. %\item[$\Rightarrow$] normalise relative to $\PDs\to\Pphi(\APmuon\Pmuon)\Ppi$
  1118. %\end{itemize}
  1119. %\end{exampleblock}
  1120. \end{frame}
  1121.  
  1122. \begin{frame}
  1123. \frametitle{Strategy}
  1124. \begin{columns}
  1125. \begin{column}{.5\textwidth}
  1126. \begin{itemize}
  1127. \item Loose cut based selection
  1128. \item Classification in 3D space:
  1129. \begin{itemize}
  1130. \item invariant mass
  1131. \item decay topology\newline (multivariate)
  1132. \item particle identification\newline (multivariate)
  1133. \end{itemize}
  1134. \item Classifier trained on simulation
  1135. \item Calibration with control channel
  1136. \item Normalisation with $\PDs$
  1137. \item CLs method to extract the result
  1138. \end{itemize}
  1139. \end{column}
  1140. \begin{column}{.5\textwidth}
  1141. \hspace{4.5cm}\includegraphics[width=.2\textwidth]{../lhcb-logo}\hspace{.5em}
  1142. %\texttt{LHCb-CONF-2012-015}
  1143.  
  1144. \only<1>{\begin{block}{Signal \& Calibration channel}
  1145. \includegraphics[width=.9\textwidth]{topos}
  1146. \end{block}}
  1147. \only<2>{\begin{alertblock}{Signal \& peaking background}
  1148. \includegraphics[width=.9\textwidth]{topob}
  1149. \end{alertblock}}
  1150. \end{column}
  1151. \end{columns}
  1152.  
  1153. \end{frame}
  1154.  
  1155.  
  1156. \begin{frame}
  1157. \frametitle{Normalisation channel $\PDs^{+}\to\Pphi(\APmuon\Pmuon)\Ppiplus$}
  1158. \begin{block}{produced $\tau$ leptons}
  1159. \vspace{-.3cm}
  1160. \begin{align*}
  1161. %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}
  1162. \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}}
  1163. \end{align*}
  1164. \end{block}
  1165. \begin{columns}
  1166. \begin{column}{.48\textwidth}
  1167. \begin{exampleblock}{ingredients}
  1168. \begin{itemize}
  1169. \item $\Pbottom\APbottom$ and $\Pcharm\APcharm$ production measurements from LHCb
  1170. \item $\PB\to\Ptau$ and $\PD\to\Ptau$ branching ratios from LEP / B factories
  1171. \item $\Pmu\Pmu\Ppi$ final state
  1172. \item[$\rightarrow$] systematics cancel
  1173. \only<1>{
  1174. \begin{itemize}
  1175. \item trigger
  1176. \item reconstruction
  1177. %\item kinematics
  1178. \item selection
  1179. \end{itemize}
  1180. }
  1181. \only<2>{\item non resonant contribution $<2\,\%$}
  1182. \end{itemize}
  1183. \end{exampleblock}
  1184. \end{column}
  1185. \begin{column}{.48\textwidth}
  1186. \includegraphics[width=.2\textwidth]{../lhcb-logo}\hspace{.5em}
  1187. \texttt{LHCb-CONF-2012-015}
  1188.  
  1189. \only<1>{\includegraphics[width=\textwidth]{./Fig3a_mDs}
  1190.  
  1191. $45\,515\, \PDs\to\Pphi(\APmuon\Pmuon)\Ppi$ decays
  1192. }
  1193. \only<2>{\includegraphics[width=\textwidth]{./Fig3b_mPhi}
  1194.  
  1195. {\footnotesize{background substracted $\APmuon\Pmuon$ mass}}
  1196. }
  1197. \end{column}
  1198. \end{columns}
  1199. \end{frame}
  1200.  
  1201. \begin{frame}
  1202. \frametitle{signal likelihoods}
  1203. \begin{columns}
  1204. \begin{column}{.48\textwidth}
  1205.  
  1206. \begin{block}{3 body decay likelihood}
  1207. \begin{itemize}
  1208. \item vertex properties
  1209. \begin{itemize}
  1210. \item vertex fit, pointing
  1211. \end{itemize}
  1212. \item track quality
  1213. \item isolation
  1214. \end{itemize}
  1215. \end{block}
  1216. \begin{exampleblock}{Calibration}
  1217. $\PDs\to\Pphi\Ppi$
  1218. \end{exampleblock}
  1219. \includegraphics[width=.88\textwidth]{./Fig1a_geobinning3}
  1220. \end{column}
  1221. \begin{column}{.48\textwidth}
  1222. \begin{block}{particle identification}
  1223. \begin{itemize}
  1224. \item hits in muon chambers
  1225. \item energy in calorimeters
  1226. \begin{itemize}
  1227. \item compatible with MIP
  1228. \end{itemize}
  1229. \item RICH information
  1230. \end{itemize}
  1231. \end{block}
  1232. \begin{exampleblock}{Calibration}
  1233. $\PJpsi\to\APmuon\Pmuon$
  1234. \end{exampleblock}
  1235. \includegraphics[width=.88\textwidth]{./Fig1b_pidbinning3}
  1236. \end{column}
  1237. \end{columns}
  1238. \end{frame}
  1239.  
  1240. \begin{frame}
  1241. \frametitle{invariant mass}
  1242. \begin{columns}
  1243. \begin{column}{.8\textwidth}
  1244. \begin{block}{two fold role}
  1245. \begin{itemize}
  1246. \item background estimation in sidebands
  1247. \item different signal likelihood inside signal region
  1248. \end{itemize}
  1249. \end{block}
  1250. \end{column}
  1251. \begin{column}{.2\textwidth}
  1252. \includegraphics[width=.46\textwidth]{../lhcb-logo}
  1253. \hspace{.5em}$\unit{1}{\reciprocal\femtobarn}$
  1254.  
  1255. \texttt{LHCb-CONF-} \texttt{2012-015}
  1256. \end{column}
  1257.  
  1258. \end{columns}
  1259. \begin{columns}
  1260. \begin{column}{.65\textwidth}
  1261. \includegraphics[width=\textwidth]{./masssim}
  1262. \end{column}
  1263. \begin{column}{.35\textwidth}
  1264. \begin{itemize}
  1265. \item mass resolution and mass scale calibrated on data
  1266. \end{itemize}
  1267. \end{column}
  1268. \end{columns}
  1269.  
  1270. \end{frame}
  1271.  
  1272. \begin{frame}
  1273. \frametitle{signal likelihoods}
  1274. \begin{columns}
  1275. \begin{column}{.8\textwidth}
  1276. \begin{block}{combined signal distribution}
  1277. \begin{itemize}
  1278. \item events distributed over 25 likelihood bins
  1279. \item background estimate from mass sidebands
  1280. \end{itemize}
  1281. \end{block}
  1282. \end{column}
  1283. \begin{column}{.2\textwidth}
  1284. \includegraphics[width=.46\textwidth]{../lhcb-logo}
  1285. \hspace{.5em}$\unit{1}{\reciprocal\femtobarn}$
  1286.  
  1287. \texttt{LHCb-CONF-} \texttt{2012-015}
  1288. \end{column}
  1289.  
  1290. \end{columns}
  1291. \begin{columns}
  1292. \begin{column}{.65\textwidth}
  1293. %\only<1>{\includegraphics[width=\textwidth]{./2d-data2.pdf}}
  1294. \only{\includegraphics[width=\textwidth]{./2d-data2_both.pdf}}
  1295. \end{column}
  1296. \begin{column}{.35\textwidth}
  1297. \begin{itemize}
  1298. \item \textcolor{red}{11\,\% signal efficiency}
  1299. \item \textcolor{blue}{21\,\% signal efficiency}
  1300. \item for illustration:\newline high likelihood range shown
  1301. \end{itemize}
  1302. \end{column}
  1303. \end{columns}
  1304.  
  1305. \end{frame}
  1306.  
  1307.  
  1308. \begin{frame}
  1309. \frametitle{observed events}
  1310. \begin{columns}
  1311. \begin{column}{.5\textwidth}
  1312. %four best bins
  1313.  
  1314. \includegraphics[width=.98\textwidth]{./Fig4a_1stbin3.pdf}
  1315. \end{column}
  1316. \begin{column}{.5\textwidth}
  1317. %four best bins
  1318.  
  1319. \includegraphics[width=.98\textwidth]{./Fig4b_2ndbin3.pdf}
  1320. \end{column}
  1321.  
  1322. \end{columns}
  1323. \begin{columns}
  1324. \begin{column}{.37\textwidth}
  1325. 11\,\% of the signal
  1326.  
  1327. 0.03\,\% of the background
  1328. \end{column}
  1329. \begin{column}{.13\textwidth}
  1330. \includegraphics[width=\textwidth]{./2d-data2_1st}
  1331. \end{column}
  1332. \begin{column}{.37\textwidth}
  1333. 21\,\% of the signal
  1334.  
  1335. 0.14\,\% of the background
  1336. \end{column}
  1337. \begin{column}{.13\textwidth}
  1338. \includegraphics[width=\textwidth]{./2d-data2_2nd}
  1339. \end{column}
  1340. \end{columns}
  1341. %\end{column}
  1342. %\begin{column}{.5\textwidth}
  1343. %%next four best bins
  1344. %\includegraphics[width=.98\textwidth]{./Fig4b_2ndbin.pdf}
  1345. %\begin{columns}
  1346. %\begin{column}{.9\textwidth}
  1347. %21\,\% of the signal
  1348. %
  1349. %0.14\,\% of the background
  1350. %\end{column}
  1351. %\begin{column}{.1\textwidth}
  1352. %\includegraphics[width=\textwidth]{./2d-data2_2nd}
  1353. %\end{column}
  1354. %\end{columns}
  1355. %\end{column}
  1356. %\end{columns}
  1357.  
  1358. {~}
  1359.  
  1360.  
  1361. \begin{columns}
  1362. \begin{column}{.65\textwidth}
  1363. \begin{description}
  1364. \item[\textcolor{red}{red dashed}] combinatorial background
  1365. \item[\textcolor{green}{green}] $\PDs^{+}\to\Peta(\Pmuon\APmuon\Pphoton)\APmuon\Pnum$
  1366. \item[\textcolor{blue}{blue}] combined background
  1367. \end{description}
  1368. \end{column}
  1369.  
  1370. \begin{column}{.35\textwidth}
  1371. \includegraphics[width=.26\textwidth]{../lhcb-logo}
  1372. \hspace{.5em}$\unit{1}{\reciprocal\femtobarn}$
  1373.  
  1374. \texttt{LHCb-CONF-}\texttt{2012-015}
  1375.  
  1376. \end{column}
  1377. \end{columns}
  1378. %no excess observed
  1379.  
  1380. \end{frame}
  1381.  
  1382. \begin{frame}
  1383. \frametitle{extracted limit}
  1384. \begin{columns}\begin{column}{.8\textwidth}
  1385. \begin{block}{result (preliminary)}
  1386. \vspace{-.5cm}
  1387. \begin{align*}
  1388. & \text{observed} & \text{expected}\\
  1389. \mathcal{B}(\Ptau\to\Pmu\Pmu\Pmu) <\ & 6.3\times 10 ^{-8} & 8.2\times 10^{-8} &\ @\, 90\,\% CL \\
  1390. <\ & 7.8\times 10 ^{-8} & 9.9\times 10^{-8} &\ @\, 95\,\% CL
  1391. \end{align*}
  1392. \end{block}
  1393. \end{column}
  1394. \begin{column}{.2\textwidth}
  1395. \includegraphics[width=.46\textwidth]{../lhcb-logo}
  1396. \hspace{.5em}$\unit{1}{\reciprocal\femtobarn}$
  1397.  
  1398. \texttt{LHCb-CONF-} \texttt{2012-015}
  1399. \end{column}
  1400. \end{columns}
  1401. \begin{columns}
  1402. \begin{column}{.65\textwidth}
  1403. \includegraphics[width=\textwidth]{./Fig5_withbkg3.pdf}
  1404. \end{column}
  1405. \begin{column}{.04\textwidth}
  1406.  
  1407. \end{column}
  1408. \begin{column}{.35\textwidth}
  1409.  
  1410. \begin{itemize}
  1411. \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)}}
  1412. \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)}}
  1413. \end{itemize}
  1414. \end{column}
  1415. \end{columns}
  1416.  
  1417. \end{frame}
  1418.  
  1419. \section*{Summary}
  1420. \begin{frame}
  1421. \frametitle{Summary}
  1422. \begin{itemize}
  1423. \item neither lepton number violation nor lepton flavour violation observed (yet)
  1424. \item hadron decays provide good probes for Lepton Number \& Flavour Violation
  1425. \item excellent sensitivity achieved at B factories
  1426. \begin{itemize}
  1427. \item LNV and LFV excluded to $10^{-5}$ for $\PD$ decays
  1428. \end{itemize}
  1429. \item LHCb extends knowledge on forbidden $\PB$ decays
  1430. \begin{itemize}
  1431. \item LNV excluded to $10^{-6\dots -8}$
  1432. \end{itemize}
  1433. \item LHCb approaching B factories for $\tau\to\mu\mu\mu$
  1434. \item[$\Rightarrow$] first time done at hadron colliders
  1435. \end{itemize}
  1436. \end{frame}
  1437. \appendix
  1438. \begin{frame}[t]
  1439. \begin{columns}
  1440. \begin{column}{.3\textwidth}
  1441. {~}
  1442.  
  1443. {~}
  1444.  
  1445.  
  1446. \huge{BACKUP}
  1447. \end{column}
  1448. \end{columns}
  1449. \end{frame}
  1450.  
  1451. %\begin{frame}
  1452. %\frametitle{LFV in bottom decays}
  1453. %{\footnotesize{
  1454. %\begin{tabular}{lclr}
  1455. %channel & limit & & \\\hline
  1456. %$\mathcal{B}(\PBplus\to\PKplus\Ptauon\APmuon)$ & $<4.5\times 10 ^{-5}$ & \includegraphics[height=.25cm]{babar}\footnote{BaBar, arXiv:1204.2852\label{babartau}}\\
  1457. %$\mathcal{B}(\PBplus\to\PKplus\APtauon\Pmuon)$ & $<2.8\times 10 ^{-5}$ & \includegraphics[height=.25cm]{babar}\footnotesize{$^{\text{\ref{babartau}}}$}\\
  1458. %$\mathcal{B}(\PBplus\to\PKplus\Ptauon\APelectron)$ & $<4.3\times 10 ^{-5}$ & \includegraphics[height=.25cm]{babar}\footnotesize{$^{\text{\ref{babartau}}}$}\\
  1459. %$\mathcal{B}(\PBplus\to\PKplus\APtauon\Pelectron)$ & $<1.5\times 10 ^{-5}$ & \includegraphics[height=.25cm]{babar}\footnotesize{$^{\text{\ref{babartau}}}$}\\
  1460. %$\mathcal{B}(\PBplus\to\Ppiplus\Ptauon\APmuon)$ & $<6.2\times 10 ^{-5}$ & \includegraphics[height=.25cm]{babar}\footnotesize{$^{\text{\ref{babartau}}}$}\\
  1461. %$\mathcal{B}(\PBplus\to\Ppiplus\APtauon\Pmuon)$ & $<4.5\times 10 ^{-5}$ & \includegraphics[height=.25cm]{babar}\footnotesize{$^{\text{\ref{babartau}}}$}\\
  1462. %$\mathcal{B}(\PBplus\to\Ppiplus\Ptauon\APelectron)$ & $<7.4\times 10 ^{-5}$ & \includegraphics[height=.25cm]{babar}\footnotesize{$^{\text{\ref{babartau}}}$}\\
  1463. %$\mathcal{B}(\PBplus\to\Ppiplus\APtauon\Pelectron)$ & $<2.0\times 10 ^{-5}$ & \includegraphics[height=.25cm]{babar}\footnotesize{$^{\text{\ref{babartau}}}$}\\
  1464. %$\mathcal{B}(\PBplus\to\Ppiplus\Pmu^{\pm}\Pe^{\mp})$ & $<1.7\times 10 ^{-7}$ & \includegraphics[height=.25cm]{babar}\footnote{BaBar, Phys.\ Rev.\ Let.\ \textbf{99}, 051801 (2007)\label{babar..}}\\
  1465. %$\mathcal{B}(\PBplus\to\PKplus\APmuon\Pelectron)$ & $<9.1\times 10 ^{-8}$ & \includegraphics[height=.25cm]{babar}\footnotesize{$^{\text{\ref{babar..}}}$}
  1466. %\end{tabular}
  1467. %}}
  1468. %\end{frame}
  1469. %
  1470. \begin{frame}
  1471. \frametitle{Sensitivity to long lived Majorana neutrinos}
  1472. \begin{itemize}
  1473. \item analysis allows for neutrino flight distance
  1474. \item probes only Majorana neutrinos decaying inside the detector
  1475. \item sensitivity to lifetime provided
  1476. \end{itemize}
  1477.  
  1478. {\footnotesize{
  1479. \begin{tabular}{p{.31\textwidth}p{.32\textwidth}p{.34\textwidth}}
  1480. a) $\PBminus\to\Ppiplus\Pmuon\Pmuon$&b) $\PBminus\to\PDs^{+}\Pmuon\Pmuon$&c) $\PBminus\to\PDzero\Ppiplus\Pmuon\Pmuon$\\
  1481. $\unit{250}{\MeV}<m_4<\unit{5}{\GeV}$&$\unit{2.1}{\GeV}<m_4<\unit{5.15}{\GeV}$&$\unit{260}{\MeV}<m_4<\unit{3.3}{\GeV}$
  1482. \end{tabular}}}
  1483. \includegraphics[width=\textwidth]{./Lifetime-eff}
  1484.  
  1485. {~}
  1486. \begin{itemize}
  1487. \item sensitive to lifetimes $<10^{-10}\,\text{s}$
  1488. \item $\PBminus\to\PDzero\Ppiplus\Pmuon\Pmuon$ better sensitive to ``large'' lifetimes
  1489. \end{itemize}
  1490.  
  1491. \end{frame}
  1492.  
  1493. \begin{frame}
  1494. \frametitle{model dependence}
  1495. {\Huge{$\Ptauon\to\Pmuon\Pmuon\APmuon$}}
  1496.  
  1497. \begin{columns}
  1498. \begin{column}{.48\textwidth}
  1499. \begin{alertblock}{possible problem}
  1500. if the selection efficiency is different for various models, the limit could be higher or lower than the one we quote.
  1501. \end{alertblock}
  1502. \end{column}
  1503. \begin{column}{.48\textwidth}
  1504. \begin{exampleblock}{crosschecks}
  1505. We tested the\begin{itemize}
  1506. \item trigger efficiency
  1507. \item preselection
  1508. \item multivariate classifier
  1509. \end{itemize}
  1510. as a function of the invariant dimuon mass(es).
  1511.  
  1512. $\Rightarrow$ these are constant within 15\,\%
  1513. \end{exampleblock}
  1514. \end{column}
  1515. \end{columns}
  1516. \end{frame}
  1517. \begin{frame}
  1518. \frametitle{Prospects}
  1519. When will LHCb catch up with the B factories on $\Ptauon\to\Pmuon\Pmuon\APmuon$?
  1520.  
  1521. \begin{block}{short answer}
  1522. not studied so far
  1523. \end{block}
  1524.  
  1525. \begin{block}{long answer}
  1526. Judge yourself:
  1527. \begin{itemize}
  1528. \item used: $\unit{1}{\reciprocal\femtobarn}$ @ $\unit{7}{\TeV}$
  1529. \item 2012: $\unit{1.5}{\reciprocal\femtobarn}$ @ $\unit{8}{\TeV}$ (charm cross section $\sim 15\,\%$ higher)
  1530. \item 2013-1014: long shutdown 1
  1531. \item 2014-2017: running at higher energies
  1532. \end{itemize}
  1533. \end{block}
  1534. \end{frame}
  1535.  
  1536. \begin{frame}
  1537. \frametitle{HFAG limits for bottom decays}
  1538. \includegraphics[height=.85\textheight]{./leptonviol_colorful}
  1539. {~~}
  1540. \myhref{http://www.hep.ph.ic.ac.uk/\%7Empatel2/HFAG/May\%202012/radll/}{[HFAG]}
  1541. \end{frame}
  1542.  
  1543. \end{document}