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\author{ {\fontspec{Trebuchet MS}M.~Chrz\k{a}szcz, R. Coutinho} (Universit\"{a}t Z\"{u}rich)}
\institute{UZH}
\title[Results and Prospects in Rare and Semi-leptonic decays]{Results and Prospects in Rare and Semi-leptonic decays}
\date{25 September 2014}


\begin{document}
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{
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\begin{center}
\begin{center}
	\begin{columns}
		\begin{column}{0.99\textwidth}
			\flushright\fontspec{Trebuchet MS}\bfseries \Huge {Results and Prospects in Rare and Semi-leptonic decays}
		\end{column}
		\begin{column}{0.01\textwidth}
		  %\includegraphics[width=\textwidth]{SHiP-2}
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	\quad
	\vspace{3em}
\begin{columns}
\begin{column}{0.44\textwidth}
\flushright \vspace{-1.8em} {\fontspec{Trebuchet MS} \Large Marcin Chrząszcz\\\vspace{-0.1em} Rafael Coutinho }

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\begin{column}{0.53\textwidth}
\includegraphics[height=1.3cm]{uzh-transp}
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\vspace{1em}
%		\footnotesize\textcolor{gray}{With N. Serra, B. Storaci\\Thanks to the theory support from M. Shaposhnikov, D. Gorbunov}\normalsize\\
\vspace{0.5em}
	\textcolor{normal text.fg!50!Comment}{Zurich LHCb meeting, Churwalden\\September 1-2, 2015}
\end{center}
\end{frame}
}


\begin{frame}\frametitle{Rare decays in a nutshell}

Rare decays are decays that are suppressed in the SM (forbidden on tree level, etc.)

\includegraphics[width=0.9\textwidth]{images/B-K_mumu.png}\\
\includegraphics[width=0.9\textwidth]{images/fey.png}


\begin{itemize}
\item Allow for indirect probe of NP effects.
\end{itemize}


\end{frame}
\begin{frame}\frametitle{Rare decays theory in a nutshell}
{~}\\
Typically one describes those decays in Heavy Quark Effective Field Theory(EFT) framework, where we sacrifice the beauty of substructure of the decays. The point like interaction is described by a Hamiltonian:
\begin{align*}
\mathcal{H} \sim \mathcal{M}_{CKM} \sum_i \mathcal{C}_i \mathcal{O}_i
\end{align*}

Each decay contains only a couple of operators ($\mathcal{O}$) that contribute in the decay. NP searches are done by measuring the Willson coefficients: $\mathcal{C}_i = \mathcal{C}^{SM}_i+\mathcal{C}^{NP}_i$.\\

Measurement $\mathcal{C}_i \Rightarrow$ constrains on NP models


\end{frame}

\begin{frame}\frametitle{Run1 results from UZH}

$\Rrightarrow$ Zurich group was super active in Rare decays! just to give you a hint:\\{~}\\
$\rightrightarrows$ Angular analysis of $\PBzero \to \PKstar \Pmuon \APmuon$\\
$\rightrightarrows$ Inflaton search in $\PB^{\pm} \to \PK^{\pm} \chi(\mu\mu)$\\
$\rightrightarrows$ Moments analysis of $\PBzero \to \PKstar(14X0) \Pmuon \APmuon$\\
$\rightrightarrows$ Lepton flavour violation search for $\Ptau \to \mu \mu \mu$.\\
$\rightrightarrows$ Kaggle competition for LHCb.\\
$\rightrightarrows$ The "holy grail" of LHCb $\PBs \to \Pmuon \APmuon$.\\


\end{frame}



\begin{frame}\frametitle{Angular analysis of $\PBzero \to \PKstar \Pmuon \APmuon$\\\begin{small}
\texttt{N.Serra, M.Chrzaszcz, E.Bowen, B.Storaci, M.Tresh }
\end{small}}
\begin{columns}
\column{0.6\textwidth}
\begin{itemize}
\item Huge impact of the group!
\item We were involved there from the start: pre-selection, BDT, etc.
\item One of the three methods (MoM) is fully and exclusivelly ours.
\item Separate paper about the method published: \href{http://arxiv.org/abs/1503.04100}{Phys. Rev. D 91, 114012 (2015)}
\item Paper is in the final stage of the review.
\end{itemize}


\column{0.4\textwidth}
\includegraphics[angle=-90,width=0.9\textwidth]{images/P5pPad.pdf}\\
\includegraphics[angle=-90,width=0.9\textwidth]{images/AFBPad.pdf}
\end{columns}

\only<2>{
$\Rrightarrow$ ''Take a moment and discover New Physics''

}

\end{frame}

%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
\begin{frame}\frametitle{Inflaton analysis: $\PBplus \to \PKplus \chi(\mu\mu)$\\ \texttt{\begin{small} A.Mauri, N.Serra, M.Chrzaszcz \end{small}}}
\begin{columns}
\column{0.02\textwidth}
{~}

\column{0.47\textwidth}
\begin{itemize}
\item Analysis completely done by UZH!
\item All the strategy is defined.
\item Backgrounds understood.
\item Soon ready for WG review.
\item Main part of Andrea PhD.

\end{itemize}

\column{0.47\textwidth}
\includegraphics[width=0.9\textwidth]{images/eff.png}\\
\includegraphics[width=0.9\textwidth]{images/bkg.png}

\column{0.02\textwidth}
{~}
\end{columns}



\end{frame}     

%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
\begin{frame}\frametitle{ Moments analysis of $\PBzero \to \PKstar(14X0) \Pmuon \APmuon$\\ \texttt{\begin{small} E.Bowen, N.Serra, B.Dey \end{small}}}
\begin{columns}
\column{0.02\textwidth}
{~}

\column{0.47\textwidth}
\begin{itemize}
\item Analysis progressing well.
\item Espen finished acceptance.
\item Cross-checked with normal  $\PB \to \PKstar \Pmuon \APmuon$.
\item Observables never measured before!
\item Soon in WG review.

\end{itemize}

\column{0.47\textwidth}
\includegraphics[angle=-90,width=0.9\textwidth]{images/mX.pdf}\\
\includegraphics[angle=-90,width=0.9\textwidth]{images/D02_pull.pdf}

\column{0.02\textwidth}
{~}
\end{columns}



\end{frame}    

%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%5
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
\begin{frame}\frametitle{Lepton flavour violation search for $\Ptau \to \mu \mu \mu$.\\ \texttt{\begin{small} M.Chrzaszcz, N.Serra \end{small}}}
\begin{columns}
\column{0.02\textwidth}
{~}

\column{0.47\textwidth}
\begin{itemize}
\item Analysis published in February.
\item In parallel HFAG report was prepared.
\item We got the best limit: $\mathcal{B}(\tau \to 3\mu) <1.2 \times 10^{-8}$
\begin{alertblock}{Some stats:}
\begin{itemize}
\item Till now HFAG report has 73 citations!
\item All $\tau$ section citations are on $\tau \to 3\mu$!
\end{itemize}
   \end{alertblock}

\end{itemize}

\column{0.47\textwidth}
\includegraphics[angle=-90,width=0.9\textwidth]{images/bananaB.pdf}\\
\includegraphics[angle=-90,width=0.9\textwidth]{images/banana_tau23mu.pdf}

\column{0.02\textwidth}
{~}
\end{columns}



\end{frame}    

%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
\begin{frame}\frametitle{The "holy grail" of LHCb $\PBs \to \Pmuon \APmuon$\\ \texttt{\begin{small} C.Elsasser \end{small}}}
\begin{columns}
\column{0.02\textwidth}
{~}

\column{0.47\textwidth}
\begin{itemize}
\item Christian main job was the calibration of the BDT.
\item Analysis was latter combined with the CMS one.


\end{itemize}
\includegraphics[width=0.9\textwidth]{images/bs1.png}
\column{0.47\textwidth}
\includegraphics[width=0.9\textwidth]{images/bs2.png}

\column{0.02\textwidth}
{~}
\end{columns}



\end{frame}   
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
\begin{frame}\frametitle{GAMBIT\\ \texttt{\begin{small} N.Serra, M.Chrzaszcz \end{small}}}
The Global And Modular BSM Inference Tool (GAMBIT):
\begin{columns}
\column{3in}
\begin{itemize}
\item We were responsible for all Flavour likelihoods.
\item Work are on the rest strait line towards producing results. 
\item First models that will be scanned:
\begin{itemize}
\item Scalar singlet
\item MSSM25.
\end{itemize}
\item Hope to soon become a paper factory.
\end{itemize}

\column{2in}
\includegraphics[width=0.85\textwidth]{images/gambit_logo.png}\\
\includegraphics[width=0.85\textwidth]{images/ss.pdf}
\end{columns}



\end{frame} 

%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
\begin{frame}

\begin{Huge}
Prospects for the future
\end{Huge}

\end{frame}  

\begin{frame}\frametitle{Run2 data}
$\Rrightarrow$ We should be prepared for Run2 data, however:
\begin{itemize}
\item Run1 is still not fully exploited!
\item Analysis are still ongoing.
\item Run2 data will be usable when we collect ($ \sim 2$) times the statistics of Run1.
\item Finally Run1 data is understood, Run2 is an unexplored land.
\end{itemize}

$\Rrightarrow$ To sum up: For another year or two we will still use the Run1 data for most of the NP searches.

\end{frame} 

\begin{frame}\frametitle{Plans for the future?}
$\Rrightarrow$ So let's list the hints of NP we have:
\begin{itemize}
\item The famous $P_5^{\prime}$ anomaly ($3.7~\sigma$).
\item The $R_k$ anomaly ($2.7~\sigma$). 
\item The $R(\PDstar)$ anomaly ($2.1~\sigma$)\footnote{This anomaly was also observed by Babar and Belle with $2.7~\sigma$ and $2.0\sigma$ significance.}.
\end{itemize}
$\Rrightarrow$  For fun let's assume that these anomalies are not just statistics fluctuation but nature showing its true face. 

\begin{itemize}
\item All hints point out that there is clear indication that NP clearly violates lepton universality.
\item There is also a clear hierarchical structure.
\item So what to do with that?
\end{itemize}


\end{frame}



\begin{frame}\frametitle{Lets pin down NP now!}


$\Rrightarrow$ Some ideas what we can do:
\begin{itemize}
\item If the NP occurs in the $R_k$, it might also occur in the angular observables! $\Rightarrow$ Lets measure difference in observables like $P_5^{\prime,~\mu} - P_5^{\prime~e}$.
\item In the $\tau$ sector the NP is competing with a SM tree decay! We could measure: $R(\PLambda_c^{\ast})$\footnote{Please remember that protons kill a lot of background. The main criticism on $R(\PDstar)$ analysis is the background modelling}.
\item If there exists LU breaking, one cloud also see LFV like: $\PB \to \PK \Plepton \Plepton^{\prime}$, like: $\PBplus \to \PKplus \Pmu \Pe$.
\item Now playing the devils advocate: Maybe we are remodelling the $\PBzero \to \PKstar \Pmu \Pmu$? One could measure the partial and higher moments in this channel as well in $\PB \to \PK \Pe \Pe$, Collaboration with Roman Zwicky and Greg Cowan~\footnote{My personal opinion, we should keep as much of MoM in UZH as possible.}.
\item Measure the angular observables of $\PBplus \to K^{*+}_{1}\Pe \Pe$, $\PBplus \to \PKplus \Pe \Pe$ and $\Lambda^{0}_{b}\to \Lambda^{*}\Pe \Pe$ decays. 
\end{itemize}

\end{frame}


\begin{frame}\frametitle{Lets pin down NP in Run2 data}
$\Rrightarrow$ Some ideas what we could do with the full Run2 data:
\begin{itemize}
\item Since decays involving $\tau$'s are more sensitive, we could start thinking in modes such as  $\PB \to \PK(\PKstar) \Ptau \Ptau$.
\begin{itemize}
\item Undergraduate student [Alex Daetwyler] is currently studying the sensitivity for $\PBzero \to \PKstar \Ptau \Ptau$ decays with Run 1 and 2 data. 
\end{itemize}
\item We should definitely update $\tau \to 3\mu$. 
\item Some more Semi-leptonic measurements!
\end{itemize}


\end{frame}

\begin{frame}\frametitle{Angular analysis of $\PBzero \to \PKstar [\Pmuon \APmuon,\Pelectron \APelectron]$\\ \texttt{\begin{small} F.Lionetto, N.Serra, R.Silva Coutinho \end{small}}}


$\Rrightarrow$ LFV measurements using $\PBzero \to \PKstar \Pelectron \APelectron (R_{K^{*}})$ are under way, \footnote{Similarly LU tests for $R_{\phi}$ are also being performed.} so it seems a good idea to study their angular observables.

\begin{columns}
\column{0.02\textwidth}
{~}
\column{0.47\textwidth}
\begin{itemize}
\item Analysis at an initial stage. 
\item Plan is to perform the MoM for sensitive observables
\begin{itemize}
\item $1.1 < q^{2} < 6.0\,$GeV$^{2}/c^{4}$
\item $q^{2} > 15$GeV\,$^{2}/c^{4}$
\end{itemize}
\item Studying smearing tool to reproduce Bremsstrahlung effects in muons.

\end{itemize}

\column{0.4\textwidth}
\includegraphics[width=4cm,height=2.5cm]{images/sWeights_MCData_correction.pdf}\\
\includegraphics[width=4cm,height=2.5cm]{images/MCData_correction.pdf}

\column{0.02\textwidth}
{~}
\end{columns}
\end{frame}

\begin{frame}\frametitle{Moments analysis of $\PBzero \to \PKstar(14X0) [\Pmuon \APmuon,\Pelectron \APelectron]$\\ \texttt{\begin{small} N.Serra, R.Silva Coutinho \end{small}}}

$\Rrightarrow$ Similar methodology used in the ($S,P,D$)-wave analysis performed by Espen, but extended to electrons.

\begin{columns}
\column{0.02\textwidth}
{~}
\column{0.47\textwidth}
\begin{itemize}
\item Several tools used are shared with Federica's analysis.
\item Revised selection (wrt the $R_{K^{*}}$ analysis) optimised for the phase-space. 
\item Currently working on simulated studies to verify the sensitivity (and even feasibility) of the analysis.

\end{itemize}

\column{0.5\textwidth}
\includegraphics[width=5.5cm,height=4cm]{images/ROC_uBoost.png}

\column{0.02\textwidth}
{~}
\end{columns}
\end{frame}

\begin{frame}\frametitle{Lepton flavour violation in $\PB \to \PK \Plepton \Plepton^{\prime}$ decays\\ \texttt{\begin{small} M.Chrzaszcz \end{small}}}

\begin{columns}
\column{0.02\textwidth}
{~}
\column{0.47\textwidth}
\begin{itemize}

\item Several groups concentrate their affords in $\PBzero \to \PK \Ptau \Pmu$.
\item However, $\PB \to \PK \Pelectron \APmuon$ decays might be a better candidate.
\begin{itemize}
\item Factor of $10$ lost because of the hierarchical structure of NP, but you can this back because of $\tau$ branching fraction.
\item ... and still you do not have the neutrinos to worry about.
\end{itemize}
\item Currently working on the MVA optimisation.
\end{itemize}

\column{0.5\textwidth}
\includegraphics[width=1.1\textwidth]{images/ROC_Kmue.pdf}

\column{0.02\textwidth}
{~}
\end{columns}
\end{frame}

\begin{frame}\frametitle{Summary}


\begin{enumerate}
\item Future analysis will be more challenging!
\item Run1 data analysis program is still rich in NP searches.
\item Many analysis are in the pipe line. 
\item We should maximize the coverage of the mentioned topics.
\end{enumerate}


\end{frame}

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