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Presentations / Tau_for_tau_charm_factory / SBT_testbeam.tex
@mchrzasz mchrzasz on 9 Jan 2013 9 KB first commit
  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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  75.  
  76. % see the macros.tex file for definitions
  77. \include{macros}
  78.  
  79. % title slide definition
  80. \title{ $\tau$ Physics at $\tau$ - $c$ factory }
  81. \author{Alberto Lusiani, Marcin Chrz\k{a}szcz}
  82. \institute[SNS, INFN, IFJ]
  83.  
  84.  
  85.  
  86. \date{30th November 2012}
  87.  
  88. %--------------------------------------------------------------------
  89. % Introduction
  90. %--------------------------------------------------------------------
  91.  
  92. \begin{document}
  93.  
  94.  
  95. \setbeamertemplate{background}
  96. {\includegraphics[width=\paperwidth,height=\paperheight]{frontpage_bg_mine}}
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  98.  
  99. \begin{frame}
  100. \vspace{1.1cm}
  101. \begin{columns}
  102. \column{2.75in}
  103. \titlepage
  104.  
  105. \begin{center}
  106. \includegraphics[height=1.5cm,keepaspectratio ]{pic/SNS.png}
  107. \hspace{1cm}
  108. \includegraphics[height=1.5cm]{pic/INFN.png}
  109. \hspace{1cm}
  110. \includegraphics[height=1.4cm]{pic/ifj.png}
  111. \end{center}
  112. \vspace{10cm}
  113. \column{2.0in}
  114. \end{columns}
  115. \end{frame}
  116.  
  117.  
  118.  
  119.  
  120.  
  121. \section[Outline]{}
  122. \begin{frame}
  123. \tableofcontents
  124. \end{frame}
  125.  
  126.  
  127.  
  128.  
  129.  
  130.  
  131.  
  132. %-------------------------------------------------------------------
  133. % Section 1
  134. %-------------------------------------------------------------------
  135. %
  136. % Set the background for the rest of the slides.
  137. % Insert infoline
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  139. {\includegraphics[width=\paperwidth,height=\paperheight]{slide_bg}}
  140. \setbeamertemplate{footline}[bunsentheme]
  141.  
  142.  
  143. \section{$\Upsilon(4S)$ vs $\Psi(3770)$ in $\tau$ sector}
  144.  
  145. \begin{frame}\frametitle{$\Upsilon(4S)$ vs $\Psi(3770)$ in $\tau$ sector}
  146. \begin{columns}
  147. \column{2.2in}
  148. \only<1>{
  149. \begin{block}{}
  150. \circled{1} $\tau \overline{\tau}$ cross section
  151. \begin{itemize}
  152. \item $\sigma_{\tau \overline{\tau}}(m_{\tau \overline{\tau}})=0.1 nb$
  153. \item $\sigma_{\tau \overline{\tau}}(\Upsilon(4S))=0.9 nb$
  154. \item $\sigma_{\tau \overline{\tau}}(\Upsilon(2S))=2.5 nb$
  155. \item $\sigma_{\tau \overline{\tau} MAX}(4.25 \GeV)=3.5 nb$
  156. \end{itemize}
  157. \hspace{1cm}
  158. \colorbox{white}{\color{blue} $\sigma_{\tau \overline{\tau}}=\dfrac{4 \Pi \alpha^{2}}{3s} \dfrac{3\beta -\beta^{2}}{2}$,}
  159. \hspace{1cm}
  160. {\newline $\beta$ velocity of $\tau$ }
  161. \end{block}
  162. }
  163. \only<2>{
  164. \begin{block}{}
  165. \circled{2} SuperB $75 ab^{-1}$:
  166. \begin{itemize}
  167. \item Number of $\tau \overline{\tau}$ produced:
  168. $0.9nb \times 75 ab^{-1} = 6.8 \times 10^{10}$
  169. \end{itemize}
  170. \circled{3} $\tau - c$ factory $7.5 ab^{-1} $:
  171. \begin{itemize}
  172. \item Number of $\tau \overline{\tau}$ produced:
  173. $3 \times 7.5 ab^{-1} = 2.3 \times 10^{10}$
  174. \end{itemize}
  175. \end{block}
  176. }
  177. \column{3.25in}
  178. \only<1>{
  179. \includegraphics[scale=0.32 ]{pic/tau_cross.png}
  180. }
  181.  
  182. \only<2>{
  183. \includegraphics[scale=0.22 ]{pic/tau_cross2.png}
  184. }
  185. \end{columns}
  186. \textref{A.Lusiani, M.Chrz\k{a}szcz 2012}
  187. \end{frame}
  188.  
  189.  
  190.  
  191.  
  192.  
  193. \section{Lepton Flavour Violation(LFV)}
  194. \begin{frame}\frametitle{Current Status of LFV}
  195.  
  196. \begin{block}{}
  197. \circled{1} Theoretical considerations:
  198. \begin{itemize}
  199. \item LFV predicted in many NP models(SUSY, Majorana neutrinos).
  200. \item In SM negligibly small $\mathcal{B}<10^{-54}$ \footnote{T.P Cheng, L.Li, Phys. Rev. Lett. 45 (1980) 1908}.
  201. \item Any observation clear sign of NP.
  202. \end{itemize}
  203. \circled{2} Experimental status:
  204. \begin{itemize}
  205. \item Limits for LFV channels set by BaBar, Belle and Cleo in range of $10^{-7} - 10^{-8}$ depending on the decay channel.
  206. \item Most promising channels: $\tau \to \mu \gamma$ and $\tau \to 3 \mu$.
  207. \end{itemize}
  208. \end{block}
  209.  
  210.  
  211.  
  212. \textref{A.Lusiani, M.Chrz\k{a}szcz 2012}
  213. \end{frame}
  214. \subsection{$\tau \to \mu \gamma$ at $\tau -c$ factory }
  215. \begin{frame}\frametitle{$\tau \to \mu \gamma$ at $\tau -c$ factory }
  216. SM background for $\tau \to \mu \gamma$ :
  217. \begin{itemize}
  218. \item $\tau \to \mu \gamma \nu_{\mu} \nu_{\tau}$
  219. \item $\tau \to \pi \pi^{0} \nu_{\tau}$
  220. \item $\tau\tau \to \mu \nu_{\mu} \nu_{\tau} + \pi \pi^{0} \nu_{\tau} \to \mu \gamma \pi^{+}\gamma \mu_{\nu} \nu_{\tau}\nu_{\overline{\tau}}$
  221. \item Initial state radiation: $e^{+} e^{-} \to \tau \overline{\tau} \gamma$
  222. \item Initial state radiation: $e^{+} e^{-} \to \mu \overline{\mu} \gamma$
  223. \end{itemize}
  224. ISR strongly suppress the the sensitivity in $\mathcal{B}$ factories.
  225. \textref{A.Lusiani, M.Chrz\k{a}szcz 2012}
  226. \end{frame}
  227.  
  228. \begin{frame}\frametitle{Suppression ISR at charm threshold}
  229. \begin{columns}
  230. \column{0.3in}
  231. \column{0.8in}
  232. \color{red}{$E_{\gamma}$ FSR}
  233.  
  234.  
  235. \hspace{1cm} \color{black}{$E_{\gamma} \tau \to \mu \gamma$}
  236. \\
  237. ISR vanishes for $E \approx 4 GeV $
  238.  
  239. \column{4.5in}
  240.  
  241.  
  242.  
  243. \begin{center}
  244. \includegraphics[scale=0.2 ]{pic/ISF.png}
  245. \end{center}
  246.  
  247. \end{columns}
  248.  
  249.  
  250. \textref{A.Lusiani, M.Chrz\k{a}szcz 2012}
  251. \end{frame}
  252.  
  253.  
  254.  
  255. \begin{frame}\frametitle{Expected sensitivity for $\tau \to \mu \gamma$}
  256.  
  257. From MC studies \footnote{A.V. Bobrov, A.E Boundar, arxiv: 1206.1909} one can estimate the background in the $\mathcal{c} - \tau$ factory using KK2F with TAUOLA generator.
  258. \begin{center}
  259. \includegraphics[scale=0.18 ]{pic/idiots.png}
  260. \end{center}
  261. A full data set of $7.5 ab^{-1}$ is sufficient to put an exclusion limit on $\tau \to \mu \gamma$ of order of $10^{-9}$.
  262.  
  263.  
  264. \textref{A.Lusiani, M.Chrz\k{a}szcz 2012}
  265. \end{frame}
  266. %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
  267.  
  268.  
  269. \section{QCD probe}
  270. \begin{frame}\frametitle{Probe QCD}
  271.  
  272. \begin{itemize}
  273. \item Using analytical constraints and the Operator Product Expansion one can compute ration between harmonic and leptonic decays:
  274. \newline $R_{\tau} \equiv \dfrac{\Gamma( \tau \to \nu hadrons(\gamma)) }{\Gamma( \tau \to e \nu_{\tau} \nu_{e})} = R_{\tau, V} + R_{\tau, A}+ R_{\tau, S}$
  275. \item Which can be further devided to contributions coming form different quarks and currents:
  276. $R_{\tau} \equiv \dfrac{\Gamma( \tau \to \nu hadrons(\gamma)) }{\Gamma( \tau \to e \nu_{\tau} \nu_{e})} = R_{\tau, V} + R_{\tau, A}+ R_{\tau, S}$
  277. \item Theoretical prediction can be wrote in a form:
  278. $R_{\tau, V+A}=N_{c} \vert V_{ud} \vert^{2} S_{EW}(1+\delta_{P}+\delta_{NP})$ \footnote{W.A. Rolke and A.M. Lopez, Nucl. Instr. Meth. in Phys. Res. A458, 745 (2001).}
  279. \item Biggest correction comes from $\delta_{P}$.
  280.  
  281.  
  282. \end{itemize}
  283.  
  284. \textref{A.Lusiani, M.Chrz\k{a}szcz 2012}
  285. \end{frame}
  286.  
  287.  
  288. %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%5
  289. \section{CP Violation}
  290. \begin{frame}\frametitle{CP Violation}
  291. \begin{itemize}
  292. \item CP violation in $\tau$ sector is becoming a popular subject in light that the CKM matrix cannot explain matter-antimatter asymmetry.
  293. \item Much more decay modes than in $\mu$ sector.
  294. \item Possible contributions from charge Higgs at loop level.
  295. \end{itemize}
  296. The most promising channel is: $\tau \to K_{s} \pi \nu$
  297. \begin{enumerate}
  298. \item SM in 3rd loops generates asymmetry.
  299. \item Numerical studies showed that NP can contribute in $1\%$
  300. \item Expected sensitivity with full data set is expected to be of the order of $0.01\%$
  301.  
  302. \end{enumerate}
  303.  
  304.  
  305.  
  306.  
  307. \textref{A.Lusiani, M.Chrz\k{a}szcz 2012}
  308. \end{frame}
  309.  
  310.  
  311.  
  312.  
  313. \end{document}