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- \title{$\tau \rightarrow \mu \mu \mu$ at LHCb }
- \author{Marcin Chrzaszcz}
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- \date{\today}
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- \begin{document}
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- \institute{Institute of Nuclear Physics PAN}
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- \institute{IFJ PAN}
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- \section{General rewiew of LHCb}
- \subsection{First Informations}
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- \begin{frame}\frametitle{General Informations}
- \begin{itemize}
- \item Fresh analyses! Aproved less than 24h ago.
- \item Premision to only speak generally without going to any details.
- \item Will try to be clouse to the boundry of what I can say
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- \begin{block}{Appologyse}
- All details will be avaible avaible on FPCP conference so stay tune!
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- \subsection{Detector}
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- \begin{frame}\frametitle{LHCb detector}
- Strong features of LHCb detector:
- \begin{itemize}
- \item Good particle indentyfication due to RICH detectors.
- \item State of the art strip detector provides good
- \item High luminosity. Nowadays operating $4$ $10^{-32} cm^{-2}s^{-1}$. We target to get $1.5fb$ in 2012.
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- \subsection{Theoretical and experimental status}
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- Strong features of LHCb detector:
- \begin{itemize}
- \item LFV has been observed in neutrino oscillations.
- \item Never saw in charge sector.
- \item Depending on the model $\tau \rightarrow \mu\mu\mu$ can be dominant over $\tau \rightarrow \mu \gamma$
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- \end{itemize}
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- SM prediction: BR $\sim 10^{-54}$
- \newline Best limits (90 \%CL):
- \newline BaBar: 3.3 x 10-8 ($468fb^{-1}$)
- \newline Belle: 2.1 x 10-8 ($782fb^{-1}$)
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- \includegraphics[scale=0.35]{sm.png}
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- \section{Analysys strategy}
- \subsection{General informations}
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- \begin{frame}\frametitle{General informations}
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- \begin{enumerate}
- \item Three separate Likelihoods to discriminate background
- \begin{itemize}
- \item Geometry and topology
- \item Particle indentyfication
- \item Three body invariant mass
- \end{itemize}
- \item Training done on MC samples:
- \begin{itemize}
- \item $\tau \rightarrow \mu \mu \mu$
- \item $b \bar{b} \rightarrow \mu \mu X$ and $c \bar{c} \rightarrow \mu \mu X$
- \end{itemize}
- \item Different input variables, MVA operators and training methods
- examined, choice: ~highest performance \& simplest
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- \end{enumerate}
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- \subsection{$\tau$ production}
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- \begin{frame}\frametitle{$\tau$ production}
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- \includegraphics[scale=0.35]{table.png}
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- MC signal sample generated with phase space distribution
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- \subsection{Binning optimisation}
- \begin{frame}\frametitle{Binning optimisation}
- The mentioned 3D plane(mass, kinematics, and geometry with topology) was divided into bins. The optimisation of that binning was done using CLs method.
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- \includegraphics[scale=0.15]{geolq.png}
- \includegraphics[scale=0.15]{pidlq.png}
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- $\Delta LQ = 2ln(Q_{SB})-2ln(Q_{B})$
- where,
- \newline $Q_{SB}= \prod \frac{P(s_{i}+b_{i},s_{i}+b_{i})}{P(s_{i}+b_{i},b_{i})}$
- \newline $Q_{SB}= \prod \frac{P(s_{i}+b_{i},s_{i}+b_{i})}{P(s_{i}+b_{i},b_{i})}$
- \newline $P(a,b)$ is the propabylity that expected number of
- backgound a \newline fluctuated (by Poisson distribution) to b, and i is the bin bumber.
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- \subsection{MVA parameter space}
- \begin{frame}\frametitle{MVA parameter space}
- For the geometry and kinematics MVA is callibrated using $D_{s} \rightarrow \phi(\mu\mu) \pi$.
- \includegraphics[scale=0.35]{geo-out.pdf}
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- \subsection{Normalization}
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- $\tau$ BR was normalized to $D_{s} \rightarrow \phi(\mu\mu) \pi$
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- \begin{center}
- \includegraphics[scale=0.25]{alpha.png}
- \newline \includegraphics[scale=0.25]{ds.pdf}
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- \section{Background}
- \subsection{SM background}
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- \begin{frame}\frametitle{SM background}
- LHCb is not a B factory. We have ireducable background! And we have to life with it.
- \begin{center}
- \includegraphics[scale=0.23]{table2.png}
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- \subsection{SM background}
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- \begin{frame}\frametitle{$D_{s} \rightarrow (\eta \rightarrow \mu \mu \gamma) \mu \nu$}
- This decay was badly simulated in current version of MC. For proper simulation new method in EvtGen was written.
- It took into account form factors comming from NA60 experiment.
- \newline arXiv:1108.0968
- \begin{center}
- \includegraphics[scale=0.23]{old_new.png}
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- \end{center}
- For the purpouse of this analyses 5M events were simulated in a private production in IFJ computing cloud.
- Many thanks to Mariusz Witek for computing resourses!
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- \subsection{Background extraction}
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- There are 3 possibilities to deal with background.
- \begin{itemize}
- \item Treat it as normal combinatorical background.
- \item Veto the $\eta$.
- \item Parametrize the $\eta$ background and fit with combinatorical.
- \end{itemize}
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- \includegraphics[scale=0.25]{1stbin.pdf}
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- \subsection{Results}
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- \section{Summary}
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- \begin{frame}\frametitle{Summary}
- \begin{itemize}
- \item LHCb is capable of performing $\tau \rightarrow \mu \mu \mu$ measurements.
- \item Method is completly different from the one used in B factories. We are cuting the phase space
- \item Looking for perticular model of decay could increase our sensetiwity. Need MC generators for that.
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- Thank you for your attention.
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