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- % Seth Brown, Ph.D.
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- % see the macros.tex file for definitions
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- % title slide definition
- \title{ $\tau$ Physics at $\tau$ - $c$ factory }
- \author{Alberto Lusiani, Marcin Chrz\k{a}szcz}
- \institute[SNS, INFN, IFJ]
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- \date{30th November 2012}
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- %--------------------------------------------------------------------
- % Introduction
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- \begin{document}
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- %-------------------------------------------------------------------
- % Section 1
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- \section{$\Upsilon(4S)$ vs $\Psi(3770)$ in $\tau$ sector}
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- \begin{frame}\frametitle{$\Upsilon(4S)$ vs $\Psi(3770)$ in $\tau$ sector}
- \begin{columns}
- \column{2.2in}
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- \begin{block}{}
- \circled{1} $\tau \overline{\tau}$ cross section
- \begin{itemize}
- \item $\sigma_{\tau \overline{\tau}}(m_{\tau \overline{\tau}})=0.1 nb$
- \item $\sigma_{\tau \overline{\tau}}(\Upsilon(4S))=0.9 nb$
- \item $\sigma_{\tau \overline{\tau}}(\Upsilon(2S))=2.5 nb$
- \item $\sigma_{\tau \overline{\tau} MAX}(4.25 \GeV)=3.5 nb$
- \end{itemize}
- \hspace{1cm}
- \colorbox{white}{\color{blue} $\sigma_{\tau \overline{\tau}}=\dfrac{4 \Pi \alpha^{2}}{3s} \dfrac{3\beta -\beta^{2}}{2}$,}
- \hspace{1cm}
- {\newline $\beta$ velocity of $\tau$ }
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- \end{block}
- }
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- \circled{2} SuperB $75 ab^{-1}$:
- \begin{itemize}
- \item Number of $\tau \overline{\tau}$ produced:
- $0.9nb \times 75 ab^{-1} = 6.8 \times 10^{10}$
-
- \end{itemize}
- \circled{3} $\tau - c$ factory $7.5 ab^{-1} $:
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- \begin{itemize}
- \item Number of $\tau \overline{\tau}$ produced:
- $3 \times 7.5 ab^{-1} = 2.3 \times 10^{10}$
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- \end{itemize}
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- \end{block}
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- \includegraphics[scale=0.32 ]{pic/tau_cross.png}
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- \includegraphics[scale=0.22 ]{pic/tau_cross2.png}
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- \end{columns}
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- \textref{A.Lusiani, M.Chrz\k{a}szcz 2012}
- \end{frame}
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- \section{Lepton Flavour Violation(LFV)}
- \begin{frame}\frametitle{Current Status of LFV}
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- \begin{block}{}
- \circled{1} Theoretical considerations:
- \begin{itemize}
- \item LFV predicted in many NP models(SUSY, Majorana neutrinos).
- \item In SM negligibly small $\mathcal{B}<10^{-54}$ \footnote{T.P Cheng, L.Li, Phys. Rev. Lett. 45 (1980) 1908}.
- \item Any observation clear sign of NP.
- \end{itemize}
- \circled{2} Experimental status:
- \begin{itemize}
- \item Limits for LFV channels set by BaBar, Belle and Cleo in range of $10^{-7} - 10^{-8}$ depending on the decay channel.
- \item Most promising channels: $\tau \to \mu \gamma$ and $\tau \to 3 \mu$.
- \end{itemize}
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- \end{block}
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- \textref{A.Lusiani, M.Chrz\k{a}szcz 2012}
- \end{frame}
- \subsection{$\tau \to \mu \gamma$ at $\tau -c$ factory }
- \begin{frame}\frametitle{$\tau \to \mu \gamma$ at $\tau -c$ factory }
- SM background for $\tau \to \mu \gamma$ :
- \begin{itemize}
- \item $\tau \to \mu \gamma \nu_{\mu} \nu_{\tau}$
- \item $\tau \to \pi \pi^{0} \nu_{\tau}$
- \item $\tau\tau \to \mu \nu_{\mu} \nu_{\tau} + \pi \pi^{0} \nu_{\tau} \to \mu \gamma \pi^{+}\gamma \mu_{\nu} \nu_{\tau}\nu_{\overline{\tau}}$
- \item Initial state radiation: $e^{+} e^{-} \to \tau \overline{\tau} \gamma$
- \item Initial state radiation: $e^{+} e^{-} \to \mu \overline{\mu} \gamma$
- \end{itemize}
- ISR strongly suppress the the sensitivity in $\mathcal{B}$ factories.
- \textref{A.Lusiani, M.Chrz\k{a}szcz 2012}
- \end{frame}
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- \begin{frame}\frametitle{Suppression ISR at charm threshold}
- \begin{columns}
- \column{0.3in}
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- \color{red}{$E_{\gamma}$ FSR}
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- \hspace{1cm} \color{black}{$E_{\gamma} \tau \to \mu \gamma$}
- \\
- ISR vanishes for $E \approx 4 GeV $
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- \column{4.5in}
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- \begin{center}
- \includegraphics[scale=0.2 ]{pic/ISF.png}
- \end{center}
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- \textref{A.Lusiani, M.Chrz\k{a}szcz 2012}
- \end{frame}
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- \begin{frame}\frametitle{Expected sensitivity for $\tau \to \mu \gamma$}
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- 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.
- \begin{center}
- \includegraphics[scale=0.18 ]{pic/idiots.png}
- \end{center}
- A full data set of $7.5 ab^{-1}$ is sufficient to put an exclusion limit on $\tau \to \mu \gamma$ of order of $10^{-9}$.
-
-
- \textref{A.Lusiani, M.Chrz\k{a}szcz 2012}
- \end{frame}
- %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
-
-
- \section{QCD probe}
- \begin{frame}\frametitle{Probe QCD}
-
- \begin{itemize}
- \item Using analytical constraints and the Operator Product Expansion one can compute ration between harmonic and leptonic decays:
- \newline $R_{\tau} \equiv \dfrac{\Gamma( \tau \to \nu hadrons(\gamma)) }{\Gamma( \tau \to e \nu_{\tau} \nu_{e})} = R_{\tau, V} + R_{\tau, A}+ R_{\tau, S}$
- \item Which can be further devided to contributions coming form different quarks and currents:
- $R_{\tau} \equiv \dfrac{\Gamma( \tau \to \nu hadrons(\gamma)) }{\Gamma( \tau \to e \nu_{\tau} \nu_{e})} = R_{\tau, V} + R_{\tau, A}+ R_{\tau, S}$
- \item Theoretical prediction can be wrote in a form:
- $R_{\tau, V+A}=N_{c} \vert V_{ud} \vert^{2} S_{EW}(1+\delta_{P}+\delta_{NP})$ \footnote{W.A. Rolke and A.M. Lopez, Nucl. Instr. Meth. in Phys. Res. A458, 745 (2001).}
- \item Biggest correction comes from $\delta_{P}$.
-
-
- \end{itemize}
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- \textref{A.Lusiani, M.Chrz\k{a}szcz 2012}
- \end{frame}
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-
- %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%5
- \section{CP Violation}
- \begin{frame}\frametitle{CP Violation}
- \begin{itemize}
- \item CP violation in $\tau$ sector is becoming a popular subject in light that the CKM matrix cannot explain matter-antimatter asymmetry.
- \item Much more decay modes than in $\mu$ sector.
- \item Possible contributions from charge Higgs at loop level.
- \end{itemize}
- The most promising channel is: $\tau \to K_{s} \pi \nu$
- \begin{enumerate}
- \item SM in 3rd loops generates asymmetry.
- \item Numerical studies showed that NP can contribute in $1\%$
- \item Expected sensitivity with full data set is expected to be of the order of $0.01\%$
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- \end{enumerate}
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- \textref{A.Lusiani, M.Chrz\k{a}szcz 2012}
- \end{frame}
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- \end{document}