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Presentations / Blois_2014 / blois_v1.tex
@mchrzasz mchrzasz on 23 May 2014 23 KB updatE
  1. % This program can be redistributed and/or modified under the terms
  2. % of the GNU Public License, version 3.
  3. %
  4. % Seth Brown, Ph.D.
  5. % sethbrown@drbunsen.org
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  64. minimum height=2em]
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  67.  
  68.  
  69. \renewcommand{\PKs}{{\HepParticle{K}{S}{}\xspace}}
  70. \newcommand{\at}{\makeatletter @\makeatother}
  71.  
  72. % color definitions
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  82.  
  83. % see the macros.tex file for definitions
  84. \include{macros}
  85.  
  86. % title slide definition
  87. \title{Searches for New Physics at LHCb}
  88. \author{Marcin Chrz\k{a}szcz}
  89. \institute[Institute of Nuclear Physics]
  90. {
  91. University of Zurich,
  92. \newline Institute of Nuclear Physics Krakow,
  93. \newline on behalf of LHCb collaboration
  94. \\{~}\\
  95. }
  96.  
  97.  
  98. \date{$21^{th}$ May 2014}
  99.  
  100. %--------------------------------------------------------------------
  101. % Introduction
  102. %--------------------------------------------------------------------
  103.  
  104. \begin{document}
  105.  
  106.  
  107.  
  108. \setbeamertemplate{background}
  109. {\includegraphics[width=\paperwidth,height=\paperheight]{frontpage_bg_mine}}
  110. \setbeamertemplate{footline}[default]
  111.  
  112. \begin{frame}
  113. \vspace{1.1cm}
  114. \begin{columns}
  115. \column{2.75in}
  116. \titlepage
  117.  
  118. \begin{center}
  119. \includegraphics[height=1cm,keepaspectratio ]{uzh.jpg}
  120. \hspace{0.5cm}
  121. \includegraphics[height=1cm]{pic/LHCb_logo.jpg}
  122. \hspace{0.5cm}
  123. \includegraphics[height=1cm]{pic/ifj.png}
  124. \end{center}
  125. \vspace{10cm}
  126. \column{2.0in}
  127. \end{columns}
  128. \end{frame}
  129.  
  130. %--------------------------------------------------------------------
  131. % OUTLINE
  132. %--------------------------------------------------------------------
  133.  
  134.  
  135.  
  136.  
  137. \section[Outline]{}
  138. \begin{frame}
  139. \tableofcontents
  140. \end{frame}
  141.  
  142.  
  143.  
  144.  
  145.  
  146.  
  147.  
  148. %-------------------------------------------------------------------
  149. % Introduction
  150. %-------------------------------------------------------------------
  151. %
  152. % Set the background for the rest of the slides.
  153. % Insert infoline
  154. \setbeamertemplate{background}
  155. {\includegraphics[width=\paperwidth,height=\paperheight]{slide_bg}}
  156. \setbeamertemplate{footline}[bunsentheme]
  157.  
  158.  
  159.  
  160. %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
  161. %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
  162.  
  163. \setbeamertemplate{background}
  164. {\includegraphics[width=\paperwidth,height=\paperheight]{slide_bg}}
  165. \setbeamertemplate{footline}[bunsentheme]
  166. %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
  167. \section{LHCb detector}
  168.  
  169. \begin{frame}\frametitle{LHCb detector}
  170. \begin{columns}
  171. \column{3.in}
  172. \begin{center}
  173. \includegraphics[width=0.98\textwidth]{det.jpg}
  174. \end{center}
  175.  
  176. \column{2.0in}
  177. \begin{footnotesize}
  178.  
  179. \begin{block}{}
  180. \circled{1} LHCb is a forward spectrometer:
  181. \begin{itemize}
  182. \item Excellent vertex resolution.
  183. \item Efficient trigger.
  184. \item High acceptance for $\Ptau$ and $\PB$.
  185. \item Great Particle ID
  186. \end{itemize}
  187. \end{block}
  188.  
  189. \end{footnotesize}
  190. \end{columns}
  191.  
  192. \textref{M.Chrz\k{a}szcz 2014}
  193. \end{frame}
  194.  
  195. \section{Lepton Flavour Violation}
  196. \begin{frame}\frametitle{Lepton Flavour/Number Violation}
  197. \begin{small}
  198. Lepton Flavour Violation(LFV):
  199. \end{small}
  200.  
  201.  
  202. \begin{footnotesize}
  203.  
  204. After $\Pmuon$ was discovered it was natural to think of it as an excited $\Pelectron$.
  205. \begin{columns}
  206. \column{3in}
  207. \begin{itemize}
  208. \item Expected: $B(\mu\to\Pe\gamma) \approx 10^{-4}$
  209. \item Unless another $\Pnu$, in intermediate vector boson loop, cancels.
  210. \end{itemize}
  211. \column{2in}
  212. {~}\includegraphics[width=0.98\textwidth]{rabi.png}
  213.  
  214. \end{columns}
  215. \begin{columns}
  216. \column{1in}
  217. {~}
  218. \column{3in}
  219. \begin{block}{I.I.Rabi:}
  220. "Who ordered that?"
  221. \end{block}
  222. \column{2in}
  223. {~}\includegraphics[scale=0.08]{II_Rabi.jpg}
  224.  
  225. \end{columns}
  226.  
  227.  
  228. \begin{itemize}
  229. \item Up to this day charged LFV is being searched for in various decay modes.
  230. \item LFV was already found in neutrino sector.
  231. \end{itemize}
  232. \end{footnotesize}
  233.  
  234.  
  235. \begin{footnotesize}
  236.  
  237. \begin{columns}
  238. \column{3.5in}
  239. \begin{small}
  240. Lepton Number Violation (LNV)
  241. \end{small}
  242.  
  243. \begin{itemize}
  244. \item Even with LFV, lepton number is a conserved quantity.
  245. \item Many NP models predict it violation(Majorana neutrinos)
  246. \item Searched in so called Neutrinoless double $\beta$ decays.
  247. \end{itemize}
  248.  
  249. \column{1.5in}
  250. \includegraphics[width=0.8\textwidth]{Double_beta_decay_feynman.png}
  251.  
  252. \end{columns}
  253.  
  254. \end{footnotesize}
  255. %Double_beta_decay_feynman.png
  256.  
  257. \textref{M.Chrz\k{a}szcz 2014}
  258. \end{frame}
  259.  
  260.  
  261. % \section{Lepton Number Violation}
  262. \section{$\PB$ decays}
  263. \subsection{$\PBminus\to h^{+}\Plepton^{-}\Plepton^{-}$}
  264. \begin{frame}%[t]
  265. \frametitle{LNV in bottom decays}%$\PBminus\to h^{+}\ell^{-}\ell^{-}$}
  266.  
  267. \only<1>{
  268. \begin{columns}\begin{column}{.5\textwidth}
  269. on-shell neutrino
  270.  
  271. \includegraphics[width=\textwidth]{pic/B-Majorana2.pdf}
  272. \end{column}
  273. {\begin{column}{.45\textwidth}
  274. virtual neutrino
  275.  
  276. \includegraphics[width=\textwidth]{pic/B-Majorana1.pdf}
  277. \end{column}
  278. }
  279. \end{columns}
  280. \begin{columns}
  281. \begin{column}{.5\textwidth}
  282. \begin{itemize}
  283. \item resonant production in accessible mass range
  284. \item rates depend on Majorana neutrino--lepton coupling $|V_{\mu 4}|$
  285. \newline {\footnotesize{(e.g.\ \href{http://arxiv.org/abs/0901.3589}{arXiv:0901.3589)}}}
  286. \item $m_4 = m_{\Plepton^{-},\Ppiplus}$
  287. \end{itemize}
  288. \end{column}
  289. {
  290. \begin{column}{.5\textwidth}
  291. \begin{exampleblock}{Special for $\PB$ decays}
  292. %\begin{itemize}
  293. Diagram without mass restriction
  294. Cabbibo favoured for $\PB\to\PD$
  295. Analogous to double $\beta$ decay.
  296. %\end{itemize}
  297. \end{exampleblock}
  298. \end{column}
  299. }
  300. \end{columns}
  301. }
  302. \textref{M.Chrz\k{a}szcz 2014}
  303. \end{frame}
  304.  
  305. %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
  306. \setbeamertemplate{background}
  307. {\includegraphics[width=\paperwidth,height=\paperheight]{slide_bg}}
  308. \setbeamertemplate{footline}[bunsentheme]
  309.  
  310.  
  311. %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
  312.  
  313. \begin{frame}[t]
  314. \frametitle{Virtual Majorana neutrinos}
  315.  
  316.  
  317. \begin{columns}
  318. \only<1>{
  319. \begin{column}{.78\textwidth}
  320. \begin{block}{}
  321. %\begin{itemize}
  322. $\PBminus\to\PDplus\Pmuon\Pmuon\quad\quad\quad\quad\quad\quad\PBminus\to\PD^{*+}\Pmuon\Pmuon$
  323. %\end{itemize}
  324. \includegraphics[width=\textwidth]{pic/MassFitDp_.pdf}
  325. \end{block}
  326. \end{column}
  327. }
  328.  
  329.  
  330. \end{columns}
  331. \only<1>{{
  332. {~}
  333.  
  334.  
  335. $\mathcal{B}(\PBminus\to\PDplus\Pmuon\Pmuon)<6.9\times 10^{-7} \quad \quad \mathcal{B}(\PBminus\to\PD^{*+}\Pmuon\Pmuon)<2.4\times 10^{-6}$
  336. }}
  337.  
  338.  
  339. {@ 95\,\% CL}\hspace{.35\textwidth}
  340. {@ 95\,\% CL}
  341. \\ Based on $0.41fb^{-1}${~}$7TeV$ data.
  342.  
  343. {~}
  344.  
  345. \begin{columns}
  346. \begin{column}{6.5cm}
  347. \end{column}
  348. \begin{column}{1.5cm}
  349. %\includegraphics[width=\textwidth]{pic/LHCb_logo.jpg}
  350. \end{column}
  351. \begin{column}{4cm}
  352. \hspace{.4cm}
  353.  
  354. {\footnotesize{\href{http://prd.aps.org/abstract/PRD/v85/i11/e112004}{\texttt{Phys. Rev.D85 (2012) 112004 }}}}
  355.  
  356. \end{column}
  357. \end{columns}
  358.  
  359. %LHCb, arXiv:1201.5600
  360. %\includegraphics[width=.5\textwidth]{UpperAll}
  361. \textref{M.Chrz\k{a}szcz 2014}
  362. \end{frame}
  363.  
  364. %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
  365.  
  366. \begin{frame}[t]
  367. \frametitle{On-shell Majorana neutrinos}
  368. \begin{itemize}
  369. \item Based on full data set${~}3fb^{-1}$.
  370. \item Cut based analysis.
  371. \item Normalization channel $\PBplus \to \PJpsi(\mu\mu)\PKplus$.
  372. \item Searches performed for two scenarios:
  373. \begin{itemize}
  374. \item Short life-time neutrinos: $\tau_4 <1ps$
  375. \item Long life-time neutrinos: $\tau_4 \in (1,1000) ps$
  376. \end{itemize}
  377. \end{itemize}
  378. \begin{columns}
  379.  
  380. \only<1>{
  381. \includegraphics[width=\textwidth]{Figure2.png}
  382. }
  383.  
  384. \end{columns}
  385.  
  386.  
  387. \begin{columns}
  388. \begin{column}{8.5cm}
  389.  
  390. \includegraphics[width=\textwidth]{Figure3.png}
  391.  
  392. \end{column}
  393. \begin{column}{.5cm}
  394. %\includegraphics[width=\textwidth]{pic/LHCb_logo.jpg}
  395. \end{column}
  396.  
  397. \begin{column}{4cm}
  398. \hspace{.4cm}
  399.  
  400.  
  401. {\footnotesize{\href{http://journals.aps.org/prl/abstract/10.1103/PhysRevLett.112.131802}{\texttt{Phys. Rev. Lett. 112, 131802 }}}}
  402.  
  403. \end{column}
  404. \end{columns}
  405.  
  406.  
  407. \textref{M.Chrz\k{a}szcz 2014}
  408. \end{frame}
  409.  
  410.  
  411.  
  412. %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
  413.  
  414. \begin{frame}[t]
  415. \frametitle{On-shell Majorana neutrinos}
  416. {~}\\
  417. \begin{columns}
  418. \column{2.in}
  419. \includegraphics[width=\textwidth]{Figure5.png}\\
  420. \includegraphics[width=\textwidth]{Figure6.png}\\
  421.  
  422.  
  423. \column{3.0in}
  424. \begin{small}
  425. \begin{itemize}
  426. \item In absence of signal UL. were set.
  427. \item $Br(\PBminus \to \Ppiplus \Pmuon \Pmuon)$ in range $10^{-9}$.
  428. \item Limits also set for the coupling $| V_{\mu 4} |^2$
  429. \end{itemize}
  430. {~}{~}$Br(\PBminus \to \Ppiplus \Pmuon \Pmuon) = \dfrac{G_f^4 f_B^2f_{\pi}^2}{128\pi\hbar } \tau_B m_B^5 |V_{ub}V_{ud}|^2|V_{\mu4}|^4(1- \dfrac{m_4^2}{m_B^2})\dfrac{m_4}{\Gamma_{N_4}}$
  431. \end{small}
  432. \end{columns}
  433. \textref{M.Chrz\k{a}szcz 2014}
  434. \end{frame}
  435.  
  436.  
  437. %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% johan %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
  438.  
  439. \begin{frame}
  440. \frametitle{Summary on LNV in $\PB$ decays}
  441. \vspace{0.5cm}
  442. \begin{columns}
  443. \begin{column}{.65\textwidth}
  444. \begin{footnotesize}
  445. \begin{tabular}{lclr}
  446. channel & limit & & \\\hline
  447. $\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}}\\
  448. $\mathcal{B}(\PBminus\to\PK^{+}\Pelectron\Pelectron) $ & $<3.0\times 10^{-8}$ & @$90\,\%$ CL &\includegraphics[height=.25cm]{babar}\footnotesize{$^{\text{\ref{babarB}}}$}\\
  449. $\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}}\\
  450. $\mathcal{B}(\PBminus\to\Prho^{+}\Pelectron\Pelectron) $ & $<2.6\times 10^{-6}$ & @$90\,\%$ CL & \includegraphics[height=.25cm]{cleo}\footnotesize{$^{\text{\ref{cleolnv}}}$}\\
  451. $\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}}\\
  452. $\mathcal{B}(\PBminus\to\PD^{+}\Pelectron\Pmuon) $ & $<1.8\times 10^{-6}$ & @$90\,\%$ CL & \includegraphics[height=.25cm]{belle2-logo}\footnotesize{$^{\text{\ref{bellelnv}}}$}\\
  453. $\mathcal{B}(\PBminus\to\Ppi^{+}\Pmuon\Pmuon)$ & $<1.3\times 10^{-8}$ & @$95\,\%$ 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}} \\
  454. $\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)} \\
  455. %$\mathcal{B}(\PBminus\to\PK^{*+}\Pmuon\Pmuon) $ & $<4.4\times 10^{-6}$ & @$90\,\%$ CL & \includegraphics[height=.25cm]{cleo}\footnotesize{$^{\text{\ref{cleolnv}}}$}\\
  456. %$\mathcal{B}(\PBminus\to\Prho^{+}\Pmuon\Pmuon) $ & $<5.0\times 10^{-6}$ & @$90\,\%$ CL & \footnotesize{$^{\text{\ref{cleolnv}}}$}\\
  457. $\mathcal{B}(\PBminus\to\PD^{+}\Pmuon\Pmuon) $ & $<6.9\times 10^{-7}$ & @$95\,\%$ CL & \includegraphics[height=.25cm]{pic/LHCb_logo.jpg}\footnotesize{$^{\text{\ref{xxxxx}}}$}\\
  458. $\mathcal{B}(\PBminus\to\PD^{*+}\Pmuon\Pmuon)$ & $<2.4\times 10^{-6}$ & @$95\,\%$ CL & \includegraphics[height=.25cm]{pic/LHCb_logo.jpg}\footnotesize{$^{\text{\ref{xxxxx}}}$}\\
  459. $\mathcal{B}(\PBminus\to\PDs^{+}\Pmuon\Pmuon)$ & $<5.8\times 10^{-7}$ & @$95\,\%$ CL & \includegraphics[height=.25cm]{pic/LHCb_logo.jpg}\footnotesize{$^{\text{\ref{xxxxx}}}$}\\
  460. $\mathcal{B}(\PBminus\to\PDzero\Ppiminus\Pmuon\Pmuon)$ & $<1.5\times 10^{-6}$ & @$95\,\%$ CL & \includegraphics[height=.25cm]{pic/LHCb_logo.jpg}\footnotesize{$^{\text{\ref{xxxxx}}}$}\\
  461. \hline
  462. \end{tabular} %pic/LHCb_logo.jpg
  463. \end{footnotesize}
  464. \end{column}
  465. \end{columns}
  466. \textref{M.Chrz\k{a}szcz 2014}
  467. \end{frame}
  468.  
  469.  
  470. %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
  471.  
  472. \subsection{$\PB\to \Plepton^{+}_1\Plepton_2^{-}$}
  473. \begin{frame}%[t]
  474. \frametitle{$\PB\to \Pelectron \Pmu^{+}$ 1}%$\PBminus\to h^{+}\ell^{-}\ell^{-}$}
  475. \begin{footnotesize}
  476. \begin{columns}
  477.  
  478. \column{3in}
  479.  
  480. \begin{itemize}
  481. \item A separate physics interest is LFV $\PB$ decays.
  482. \item Predicted by various NP models: lepto-quarks, SUSY, GUT.
  483. \item Analysis based on $1fb^{-1}$ 2011 data.
  484. \item Analogues to our $\PBs \to \mu \mu$ analysis(Phys. Rev. Lett. 110, 021801 (2013))
  485. \end{itemize}
  486.  
  487.  
  488.  
  489. \column{2in}
  490. \includegraphics[width=\textwidth]{blind.png}\\
  491. \end{columns}
  492.  
  493. \begin{enumerate}
  494. \item Loose reselection based on topology and PID.
  495. \item Classifier trained on MC signal and $b\bar{b} \to \Plepton \Plepton X$
  496. \item Calibration channel: $\PBzero_{(s)} \to h^+ h^{'-}$
  497. \item Normalization Channel: $\PBzero \to \PKplus \Ppiminus$
  498. \item CLs method for limit extraction.
  499. \end{enumerate}
  500. \end{footnotesize}
  501.  
  502.  
  503.  
  504. \begin{columns}
  505. \begin{column}{6.5cm}
  506. \end{column}
  507. \begin{column}{1.5cm}
  508. %\includegraphics[width=\textwidth]{pic/LHCb_logo.jpg}
  509. \end{column}
  510. \begin{column}{4cm}
  511. \hspace{.4cm}
  512. {\footnotesize{\href{http://journals.aps.org/prl/abstract/10.1103/PhysRevLett.111.141801}{\texttt{Phys. Rev. Lett. 111, 141801 (2013) }}}}
  513.  
  514. \end{column}
  515. \end{columns}
  516. \textref{M.Chrz\k{a}szcz 2014}
  517. \end{frame}
  518.  
  519. %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
  520.  
  521.  
  522.  
  523. \begin{frame}%[t]
  524. \frametitle{$\PB_{(s)} \to \Pelectron \Pmu^{+}$ 2}
  525. \begin{footnotesize}
  526. \begin{columns}
  527.  
  528. \column{3.1in}
  529.  
  530. \begin{itemize}
  531. \item Correction to MC and DATA discrepancies.
  532. \item Excellent proxy: $\PBzero_{(s)} \to h h'$.
  533. \item Fit each BDT bin for $\PBzero_{(s)} \to h h'$ and extract number of events.
  534. \item Correct MC efficiency for each bin.
  535. \item Electron Bremsstrahlung corrected on $\PJpsi \to \Pe \Pe$.
  536. \end{itemize}
  537.  
  538. \column{1.9in}
  539. \includegraphics[width=\textwidth]{Fig4a-supp.pdf}\\
  540. \end{columns}
  541. \begin{columns}
  542.  
  543. \column{2.3in}
  544. %\includegraphics[width=\textwidth]{ClsB.png}\\
  545. \includegraphics[width=\textwidth]{CLS2.png}\\
  546. \column{3.1in}
  547. %\includegraphics[width=\textwidth]{Fig1a-supp.pdf}\\
  548. \begin{tabular}{ c | c | c }
  549. {~} & $Br(\PB \to \Pe \Pmu)$ & $Br(\PB_s \to \Pe \Pmu)$ \\
  550. {~} & \at~$ 90(95)\% CL$ & at~$90(95)\% CL$ \\ \hline
  551. \textcolor{blue}{Expected} & \textcolor{blue}{$4.0(5.0)\times 10^{-9}$}& \textcolor{blue}{$1.5(2.0)\times 10^{-8}$} \\
  552. \textcolor{red}{Observed} & \textcolor{red}{$2.8(3.7)\times 10^{-9}$}& \textcolor{red}{$1.1(1.4)\times 10^{-8}$} \\
  553.  
  554. \end{tabular}
  555.  
  556.  
  557. \end{columns}
  558.  
  559.  
  560. \end{footnotesize}
  561. \textref{M.Chrz\k{a}szcz 2014}
  562. \end{frame}
  563.  
  564. %%%%%%%%%%
  565. \begin{frame}%[t]
  566. \frametitle{$\PB\to \Plepton^{+}_1\Plepton_2^{-}$ Implications}
  567. \begin{footnotesize}
  568. \begin{itemize}
  569. \item LHCb limits two times better than previous ones from CDF.
  570. \item CDF implications to lepto-quarks mass\footnote{Theoretical formula Phys. Rev. D 50 (1994) 6843}.
  571. \begin{itemize}
  572. \item $m_{LQ}(\PBs \to \Pe \Pmu) >47.8(44.9) TeV$ \@ $90(95\%)$ \at CL.
  573. \item $m_{LQ}(\PBzero \to \Pe \Pmu) >59.3(56.3) TeV$ \@ $90(95\%)$ \at CL.
  574.  
  575. \end{itemize}
  576. \end{itemize}
  577.  
  578. \begin{center}
  579. \begin{columns}
  580. \column{0.4in}
  581. {~}
  582. \column{1.85in}
  583. \includegraphics[width=\textwidth]{Fig2a-supp.pdf}\\
  584. \column{0.2in}
  585. {~}
  586. \column{1.85in}
  587. \includegraphics[width=\textwidth]{Fig2b-supp.pdf}\\
  588. \column{0.4in}
  589. {~}
  590. \end{columns}
  591.  
  592. \end{center}
  593. LHCb limits:
  594. \begin{itemize}
  595. \item $m_{LQ}(\PBs \to \Pe \Pmu) >107(101) TeV$ \@ $90(95\%)$ \at CL.
  596. \item $m_{LQ}(\PBzero \to \Pe \Pmu) >135(126) TeV$ \@ $90(95\%)$ \at CL.
  597.  
  598. \end{itemize}
  599.  
  600. \end{footnotesize}
  601. \textref{M.Chrz\k{a}szcz 2014}
  602. \end{frame}
  603.  
  604.  
  605.  
  606.  
  607.  
  608.  
  609.  
  610.  
  611. %%%%%%%%%%%%%%%%%%%%%%%%%
  612. %%%%%%%%%%%%%%%%%%%%%%%%%%
  613. %%%%%%%%%%%%%%%%%%%%%%%%
  614.  
  615.  
  616.  
  617.  
  618.  
  619.  
  620. %\section{Lepton Flavour Violation}
  621. \section{$\tau$ decays}
  622.  
  623.  
  624. \subsection{$\Ptauon\to\Pmuon\Pmuon\APmuon$}
  625. \begin{frame}\frametitle{Curent status}
  626.  
  627.  
  628.  
  629.  
  630. \frametitle{$\Ptau \to \mu \mu \mu$}
  631.  
  632. \only<1>{
  633.  
  634.  
  635.  
  636. \begin{center}
  637. \begin{columns}
  638. \column{3in}
  639. \begin{block}{}
  640. \circled{1} In SM small $\mathcal{B}( \Ptauon\to\Pmuon\Pmuon\APmuon ) \sim 10^{-50} $ \\
  641. \circled{2} NP can enhance $\mathcal{B}$. \\
  642. \circled{3} Nature still hides $\Ptauon\to\Pmuon\Pmuon\APmuon$ from us.\\
  643. \circled{4} Current limits:
  644. \end{block}
  645. \column{2in}
  646. \includegraphics[width=\textwidth]{tau23mu.png}\\
  647.  
  648.  
  649. \end{columns}
  650.  
  651.  
  652. \begin{center}
  653. \begin{tabular}{| l | l |}
  654. \hline Experiment & $90\%$ CL limit \\
  655. \hline
  656. \hline BaBar & $3.3 \times 10^{-8}$ \\
  657. \hline Belle & $2.1 \times 10^{-8}$ \\
  658. \hline
  659. \end{tabular}
  660. \end{center}
  661. \begin{block}{}
  662. \circled{5} Can a hadron collider change the picture? \\
  663. \end{block}
  664.  
  665.  
  666.  
  667.  
  668.  
  669.  
  670. \end{center}
  671. }
  672. \textref{M.Chrz\k{a}szcz 2012}
  673. \end{frame}
  674.  
  675. %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
  676.  
  677. \begin{frame}\frametitle{Analysis approach}
  678. \begin{columns}
  679. \column{2.5in}
  680. $\mathcal{B}$ factories
  681.  
  682.  
  683. \column{2.5in}
  684. LHCb, ($7 TeV$, 2011 data)
  685.  
  686.  
  687.  
  688. \end{columns}
  689. \begin{columns}
  690. \column{2.5in}
  691.  
  692.  
  693. \begin{block}{}
  694. \circled{1} Clean signal: $\APelectron\Pelectron\to\APtauon\Ptauon$ \\
  695. \circled{2} Calculate the thrust axis \\
  696. \circled{3} Tag the other $\tau$ \\
  697. \circled{4} Small cross section $0.919nb$ \\
  698. \end{block}
  699. \column{2.5in}
  700.  
  701. \begin{block}{}
  702. \circled{1} Inclusive $\tau$ cross section: \newline $79.5\pm\unit{8.3}{\micro\barn}$. \\
  703. \circled{2} $8 \times 10^{10} \tau$ produced. \\
  704. \circled{3} Dominant contribution: \newline $\PDs\to\Ptau\Pnut$ ($78\%$) \\
  705. \circled{4} No tag possible. \\
  706. \end{block}
  707.  
  708.  
  709.  
  710. \end{columns}
  711.  
  712.  
  713. \textref{M.Chrz\k{a}szcz 2012}
  714. \end{frame}
  715.  
  716. \begin{frame}
  717. \frametitle{Strategy}
  718. \begin{columns}
  719. \begin{column}{.5\textwidth}
  720. \begin{itemize}
  721. \item Loose cut based selection
  722. \item Classification in 3D space:
  723. \begin{itemize}
  724. \item invariant mass
  725. \item decay topology\newline (multivariate)
  726. \item particle identification\newline (multivariate)
  727. \end{itemize}
  728. \item Classifier trained on simulation
  729. \item Calibration with control channel
  730. \item Normalization with $\PDs \to \phi(\mu \mu) \pi$
  731. \item CLs method to extract the result
  732. \end{itemize}
  733. \end{column}
  734. \begin{column}{.5\textwidth}
  735.  
  736. \begin{block}{Signal \& Calibration \& Background channel}
  737. \includegraphics[width=.7\textwidth]{topos}
  738. \newline
  739. \includegraphics[width=.7\textwidth]{topob2.png}
  740. \end{block}
  741. \end{column}
  742. \end{columns}
  743. \textref{M.Chrz\k{a}szcz 2012}
  744. \end{frame}
  745.  
  746. %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%5
  747.  
  748.  
  749. \begin{frame}
  750. \frametitle{Signal likelihoods}
  751. \begin{columns}\begin{column}{.48\textwidth}
  752. \begin{block}{particle identification}
  753. \begin{itemize}
  754. \item hits in muon chambers
  755. \item energy in calorimeters
  756. \begin{itemize}
  757. \item compatible with MIP
  758. \end{itemize}
  759. \item RICH response
  760. \end{itemize}
  761. \end{block}
  762. \begin{exampleblock}{Calibration}
  763. $\PJpsi\to\APmuon\Pmuon$
  764. \end{exampleblock}
  765. \includegraphics[width=\textwidth]{Fig4b.png}
  766. \end{column}
  767.  
  768. \begin{column}{.48\textwidth}
  769.  
  770. \begin{block}{3 body decay likelihood}
  771. \begin{itemize}
  772. \item vertex properties
  773. \begin{itemize}
  774. \item vertex fit, pointing
  775. \end{itemize}
  776. \item track quality
  777. \item isolation
  778. \end{itemize}
  779. \end{block}
  780. \begin{exampleblock}{Calibration}
  781. $\PDs\to\Pphi\Ppi$
  782. \end{exampleblock}
  783. \includegraphics[width=\textwidth]{Fig4a.png}
  784. \end{column}
  785.  
  786. \end{columns}
  787.  
  788.  
  789.  
  790.  
  791.  
  792. \textref{M.Chrz\k{a}szcz 2014}
  793. \end{frame}
  794. %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
  795. % \underbrace{•}
  796.  
  797.  
  798. %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
  799.  
  800.  
  801. \begin{frame}
  802. \frametitle{Signal likelihoods}
  803. \begin{columns}
  804. \begin{column}{.8\textwidth}
  805. \begin{block}{combined signal distribution}
  806. \begin{itemize}
  807. \item events distributed over 25 likelihood bins
  808. \item background estimate from mass side-bands
  809.  
  810. \end{itemize}
  811. \end{block}
  812. Signal efficiency in 3-BODY BDT vs PID BDT plane.
  813. \end{column}
  814. \begin{column}{.2\textwidth}
  815.  
  816.  
  817.  
  818. \end{column}
  819.  
  820. \end{columns}
  821. \begin{columns}
  822. \begin{column}{.48\textwidth}
  823. %\only<1>{\includegraphics[width=\textwidth]{./2d-data2.pdf}}
  824. \only{\includegraphics[width=\textwidth]{FIG6.png}}
  825. \end{column}
  826. \begin{column}{.48\textwidth}
  827. %\only<1>{\includegraphics[width=\textwidth]{./2d-data2.pdf}}
  828. \only{\includegraphics[width=\textwidth]{Fig2a.png}}
  829. \end{column}
  830.  
  831. \end{columns}
  832. \textref{M.Chrz\k{a}szcz 2014}
  833.  
  834. \end{frame}
  835.  
  836.  
  837.  
  838.  
  839. \begin{frame}
  840. \frametitle{Extracted upper limit}
  841. \begin{columns}\begin{column}{.8\textwidth}
  842.  
  843. \vspace{1.0cm}
  844.  
  845. \begin{tabular}{|l|l|l|l|}
  846. \hline
  847. & \text{observed} & \text{expected} & \text{CL} \\
  848. \hline
  849. $\mathcal{B}(\Ptau\to\Pmu\Pmu\Pmu)$ & $8.0\times 10 ^{-8}$ & $8.3\times 10^{-8}$ & $90\%$\\
  850. & $ 9.8\times 10 ^{-8}$ & $10.2\times 10^{-8}$ & $95\%$ \\
  851. \hline
  852. \end{tabular}
  853.  
  854.  
  855.  
  856. \end{column}
  857. \begin{column}{.2\textwidth}
  858. \includegraphics[width=.46\textwidth]{pic/LHCb_logo.jpg}
  859. \hspace{.5em}$\unit{1}{\reciprocal\femtobarn}$
  860.  
  861. {\footnotesize{\href{http://www.sciencedirect.com/science/article/pii/S0370269313004450}{\texttt{PLB 724 (2013) 36-45 }}}}
  862. \end{column}
  863. \end{columns}
  864. \begin{columns}
  865. \begin{column}{.65\textwidth}
  866. \includegraphics[width=0.8\textwidth]{Fig3a.png}
  867. \end{column}
  868. \begin{column}{.04\textwidth}
  869.  
  870. \end{column}
  871. \begin{column}{.35\textwidth}
  872.  
  873.  
  874. \end{column}
  875. \end{columns}
  876. \textref{M.Chrz\k{a}szcz 2014}
  877. \end{frame}
  878. %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
  879.  
  880. \begin{frame}
  881. \frametitle{Summary}
  882. \begin{itemize}
  883. \item Analyses of LFV and LNV processes are going very well in LHCb
  884. \item We already have a number of best limits in our hands.
  885. \item Stay tuned, more new results coming up soon.
  886. \end{itemize}
  887.  
  888.  
  889. \textref{M.Chrz\k{a}szcz 2014}
  890.  
  891. \end{frame}
  892.  
  893.  
  894.  
  895.  
  896.  
  897.  
  898. \end{document}