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- \usetheme{Sybila}
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- \title[ Rare beauty and charm decays at LHCb]{ Rare beauty and charm decays at LHCb}
- \author{Marcin Chrz\k{a}szcz$^{1}$ \\ \footnotesize{on behalf of the LHCb collaboration}}
- \institute{$^1$~University of Zurich \\{~}\\ Deep-Inelastic Scattering 2015 }
- \date{\today}
- \begin{document}
- % --------------------------- SLIDE --------------------------------------------
- \frame[plain]{\titlepage}
- \author{Marcin Chrz\k{a}szcz}
- % ------------------------------------------------------------------------------
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- \institute{~(UZH)}
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- % OUTLINE
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- \section[Outline]{}
- \begin{frame}
- %\tableofcontents
- %FIXME!
- \begin{enumerate}
- \item Rare $\PB$ decays:
- \begin{itemize}
- \item $\PB \to \PK \Ppi \Ppi \Pphoton$
- \item $\PB \to \mu \mu$.
- \item $\Pbeauty \to \Pstrange \Plepton \Plepton$.
- \end{itemize}
- \item Charm decays:
- \begin{itemize}
- \item $\PD \to \mu \mu$.
- \end{itemize}
- \end{enumerate}
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- \end{frame}
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- %-------------------------------------------------------------------
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- %\section{LHCb detector}
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- %\begin{frame}\frametitle{LHCb detector}
- %\begin{columns}
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- %\begin{center}
- %\includegraphics[width=0.98\textwidth]{det.jpg}
- %\end{center}
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- %\column{2.0in}
- %\begin{footnotesize}
-
-
- % LHCb is a forward spectrometer:
- % \begin{itemize}
- % \item Excellent vertex resolution.
- % \item Efficient trigger.
- % \item High acceptance for $\Ptau$ and $\PB$.
- % \item Great Particle ID
- % \end{itemize}
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- %\end{footnotesize}
- %\end{columns}
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- %\end{frame}
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- \section{Introduction}
-
- \begin{frame}\frametitle{Why rare decays?}
- \begin{columns}
- \column{4in}
- \begin{itemize}
- \item CKM structure in SM allows only the charged interactions to change flavour.
- \begin{itemize}
- \item Other interactions are flavour conserving.
- \end{itemize}
- \item One can escape the CKM structure and produce $\Pbottom \to \Pstrange$ and $\Pbottom \to \Pdown$ only at loop level.
- \begin{itemize}
- \item This kind of processes are suppressed in SM $\to$~Rare decays.
- \end{itemize}
- \end{itemize}
- \begin{center}
- \includegraphics[scale=0.3]{hql/lupa.png}
- \includegraphics[scale=0.3]{hql/example.png}
- \end{center}
- \column{1.5in}
- \includegraphics[width=0.62\textwidth]{hql/couplings.png}
- \end{columns}
-
- \end{frame}
-
- \begin{frame}\frametitle{Tools}
- \begin{itemize}
- \item \textbf{Operator Product Expansion and Effective Field Theory}
- \end{itemize}
- \begin{columns}
- \column{0.1in}{~}
- \column{3.2in}
- \begin{align*}
- H_{eff} = - \dfrac{4G_f}{\sqrt{2}} V V^{\ast} \sum_i \left[\underbrace{C_i(\mu)O_i(\mu)}_\text{left-handed} +\underbrace{C'_i(\mu)O'_i(\mu)}_\text{right-handed}\right]
- \end{align*}
-
- \column{2in}
- \begin{tiny}
- \begin{description}
- \item[i=1,2] Tree
- \item[i=3-6,8] Gluon penguin
- \item[i=7] Photon penguin
- \item[i=9.10] EW penguin
- \item[i=S] Scalar penguin
- \item[i=P] Pseudoscalar penguin
- \end{description}
-
- \end{tiny}
- \end{columns}
- \begin{center}
- \includegraphics[width=0.85\textwidth,height=3cm]{hql/all.png}
-
- \end{center}
-
-
- \end{frame}
-
-
-
- \begin{frame}\frametitle{Radiative decays}
-
- \begin{columns}
- \column{5in}
-
- \begin{itemize}
- \item $\PBzero \to \PKstar \Pphoton$ - first observed penguin!
- \begin{itemize}
- \item CLEO, [\href{http://journals.aps.org/prl/abstract/10.1103/PhysRevLett.71.674}{\color{blue}PRL, 71 (1993) 674}]
- \end{itemize}
- \item B-factories probed NP measuring, inclusively/ semi-inclusively $\mathcal{B}(\Pbeauty \to \Pstrange \Pphoton)$
- \end{itemize}
- \column{0.1in}{~}
-
- \end{columns}
-
-
-
- \begin{columns}
- \column{3in}
- \begin{itemize}
- \item Is there anyway LHCb can contribute?
- \begin{itemize}
- \item Measurements of $\mathcal{B}(\Pbeauty \to \Pstrange \Pphoton)$ very difficult.
- \item Can probe probe polarization!
- \end{itemize}
- \end{itemize}
- \column{2in}
- \includegraphics[width=0.85\textwidth]{hql/btosgamma.png}
- \end{columns}
- %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%5
-
-
- \begin{columns}
- \column{5in}
-
- \begin{itemize}
- \item In SM, photons form $\Pbeauty \to \Pstrange \Pphoton$ decays are left handed.
- \begin{itemize}
- \item Charged current interactions: $C_7/C'_7\sim m_{\Pbeauty}/m_{\Pstrange}$
- \end{itemize}
- \item Can test $C_7/C'_7$ using:
- \begin{itemize}
- \item Mixing induced CP violation: \href{http://arxiv.org/abs/hep-ph/9704272}{\color{blue}Atwood et. al. PRL 79 (1997) 185-188}
- \item $\PLambdab$ baryons: \href{http://arxiv.org/abs/hep-ph/0108074}{\color{blue}Hiller \& kagan PRD 65 (2002) 074038}
- \end{itemize}
- \end{itemize}
- \column{0.1in}{~}
-
- \end{columns}
-
- \end{frame}
- %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%5
-
- \begin{frame}\frametitle{Photon polarization from $\PB^+ \to \PK^{+} \Ppi^- \Ppi^+ \Pphoton$}
-
-
- \begin{columns}
- \column{3.5in}
-
- \begin{itemize}
- \item OR: Study $\PB \to \PK^{\ast \ast} \Pphoton$ decays like $\PBplus \to \PK_1(1270) \Pphoton$
- \begin{itemize}
- \item \href{http://arxiv.org/abs/hep-ph/0205065}{\color{blue}Gronau \& Pirjol PRD 66 (2002) 054008}
- \end{itemize}
- \item The trick is to get the photon polarization from the up-down asymmetry of photon direction in the $\PK \Ppi \Ppi$ rest frame.
- \begin{itemize}
- \item No asymmetry $\rightarrow$ Unpolarised photons.
- \end{itemize}
- \item Conceptionally this measurement is similar to the Wu experiment, which first observed parity violation.
-
-
- \end{itemize}
- \column{1.5in}
-
- \includegraphics[width=0.95\textwidth]{hql/polarization.png}
-
- \end{columns}
- \end{frame}
- %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
- \begin{frame}\frametitle{$\PB^+ \to \PK^{+} \Ppi^- \Ppi^+ \Pphoton$ at LHCb}
-
-
- \begin{columns}
- \column{3.in}
-
- \begin{itemize}
- \item LHCb looked at $\PBplus \to \PKplus \Ppiminus \Ppiplus \Pphoton$, using un-converted photons.
- \item Got over 13.000 candidates in $3~fb^{-1}$!
- \item \href{http://journals.aps.org/prl/abstract/10.1103/PhysRevLett.112.161801}{\color{blue} Phys. Rev. Lett. 112, 161801 }
- \item $\PKplus \Ppiminus \Ppiplus$ system has variety of resonances.
- \begin{itemize}
- \item $\PK \Ppi \Ppi \Ppi$ system studied inclusively.
- \item Bin the mass and look for polarization there.
- \end{itemize}
- \end{itemize}
- \column{2in}
- {~}
- \includegraphics[width=0.95\textwidth]{hql/plotspolarization.png}
-
- \end{columns}
- \end{frame}
- \iffalse
- %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
- \begin{frame}%\frametitle{$\color{white} B^+ \to K^{+} \pi^- \pi^+ \gamma$ at LHCb}
- \begin{center}
- {\color{red} Fit with $\color{red}(C_7'-C_7)/(C_7'+C_7)=0$}, {\color{blue} Best fit}
- \includegraphics[width=0.93\textwidth]{hql/photonfit.png}
- \end{center}
-
-
- \end{frame}
- \fi
- %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
- \begin{frame}\frametitle{Up-down asymmetry}
-
- \begin{columns}
- \column{3.in}
-
- \begin{itemize}
- \item Combining the 4 bins, gives $5.2\sigma$ significance from no photon polarization hypothesis.
- \item Unfortunately without understanding the hadron system it is impossible to tell if the photon is left or right -handed.
- \end{itemize}
-
- \column{2in}
- {~}
- \includegraphics[width=0.95\textwidth]{hql/aud.png}
-
- \end{columns}
- \begin{center}
- $\rightarrow$~ First observation of photon polarization in $\Pbeauty \to \Pstrange \Pphoton$!
-
- \end{center}
-
-
-
- \end{frame}
-
- %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
- \begin{frame}\frametitle{$\PBzero \rightarrow \Pmu^+ \Pmu^-$}
- \begin{columns}
- \column{3.2in}
-
- \begin{itemize}
- \item Clean theoretical prediction, GIM and helicity suppressed in the SM:
- \begin{itemize}
- \item $\mathcal{B}(\PBs \to \Pmuon \APmuon) = (3.65 \pm 0.23)\times 10^{-9}$
- \item $\mathcal{B}(\PBzero \to \Pmuon \APmuon) = (1.06 \pm 0.09)\times 10^{-10}$
- \end{itemize}
- \item Sensitive to contributions from scalar and pesudoscalar couplings.
- \item Probing: MSSM, higgs sector, etc.
- \item In MSSM: $\mathcal{B}(\PBs \to \Pmuon \APmuon) \sim \tan^6 \beta /m_A^4$
- \end{itemize}
-
- \column{1.5in}
- {~}
- \includegraphics[width=0.95\textwidth]{hql/bs2mumu1.png}\\
- \includegraphics[width=0.95\textwidth]{hql/bs2mumu2.png}\\
- \includegraphics[width=0.6\textwidth]{hql/higgspen.png}
- \end{columns}
-
-
- \end{frame}
- %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
- \begin{frame}\frametitle{$\PBzero \rightarrow \Pmu^+ \Pmu^-$ searches}
-
-
- \begin{columns}
- \column{5in}
-
- \begin{itemize}
- \item Background rejection power is a key feature of rare decays $\rightarrow$ use multivariate classifiers (BDT) and strong PID.
- \end{itemize}
- \column{0.1in}{~}
-
- \end{columns}
- \begin{columns}
- \column{2.5in}
- \includegraphics[width=0.95\textwidth]{hql/BDT.png}
-
- \column{2.5in}
-
- \includegraphics[width=0.95\textwidth]{hql/mass.png}
-
- \end{columns}
-
- \begin{itemize}
- \item Normalize the BF to $\PBplus \to \PJpsi(\mu\mu) \PKplus$ and $\PBzero \to \PK \Ppi$.
- \end{itemize}
- \end{frame}
-
-
- %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
- \begin{frame}\frametitle{$\PBzero \rightarrow \Pmu^+ \Pmu^-$ Results}
-
-
-
- \begin{columns}
- \column{2.in}
- \begin{itemize}
- \item Nov. 2012:
- \begin{itemize}
- \item First evidence $3.5\sigma$ for $B^0 \rightarrow \mu^+ \mu^-$. with $2.1~fb^{-1}$.
- \end{itemize}
- \item Summer 2013:
- \begin{itemize}
- \item Full data sample: $3~fb^{-1}$.
- \end{itemize}
- \end{itemize}
- \column{3.0in}
-
- \includegraphics[width=0.95\textwidth]{hql/mass2.png}
-
- \end{columns}
- \begin{itemize}
- \item Measured BF:\\ $\mathcal{B}(\PBs \to \Pmuon \APmuon) =(2.9^{+1.1}_{-1.0}(stat.)^{+0.3}_{-0.1}(syst.))\times 10^{-9}$
- \item $4.0 \sigma$ significance!
- \item $\mathcal{B}(\PBzero \to \Pmuon \APmuon) < 7 \times 10^{-10}$ at $95\%$ CL
- \item \href{http://journals.aps.org/prl/abstract/10.1103/PhysRevLett.110.021801}{\color{blue} PRL 110 (2013) 021801 }
- \item \href{http://journals.aps.org/prl/abstract/10.1103/PhysRevLett.111.101805}{\color{blue} CMS result: PRL 111 (2013) 101805}
- \end{itemize}
-
-
- \end{frame}
-
-
-
-
-
- %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
- \begin{frame}\frametitle{LHCb+CMS Combination}
- \begin{Large}
-
-
- \begin{center}
- $\mathcal{B}(\PBs \to \Pmuon \APmuon) =(2.8^{+0.7}_{-0.6} )\times 10^{-9}$\\
- $\mathcal{B}(\PBzero \to \Pmuon \APmuon) =(3.9^{+1.6}_{-1.4} )\times 10^{-10}$
- \end{center}
- \end{Large}
-
- \includegraphics[width=0.95\textwidth]{hql/bs2mumu_comb.png}
-
- \begin{itemize}
- \item \href{http://arxiv.org/pdf/1411.4413v1.pdf}{\color{blue}arXiv:1411.4413}
- \end{itemize}
-
- \end{frame}
-
-
-
-
-
- %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
- \begin{frame}\frametitle{$\PBzero \rightarrow \PK^{\ast} \Pmu \Pmu$ angular distributions}
- \begin{columns}
- \column{2.5in}{~}
- \begin{itemize}
- \item Can probe photon polarization using virtual photons in $\Pbeauty \to \Pstrange \Plepton \Plepton$.
- \item LHCb favourite: $\PBzero \to \PKstar \mu \mu$.
- \item Sensitive to lot of new physics models.
- \item Decay described by three angles $\theta_l, \theta_K, \phi$ and dimuon invariant mass $q^2$.
- \item Analysis is performed in bins of $q^2$.
- \end{itemize}
- \column{2.5in}
- \includegraphics[width=0.95\textwidth]{hql/angles.png}
-
- \end{columns}
- \end{frame}
-
-
-
- %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
- \begin{frame}\frametitle{$\PBzero \rightarrow \PK^{\ast} \Pmu \Pmu$ angular distributions}
- \begin{itemize}
- \item Angular distributions depends on 11 angular terms:
- \includegraphics[width=0.95\textwidth]{hql/eq.png}
- \end{itemize}
- where the $J_i$ are bilinear combinations of helicity amplitudes.
- \begin{itemize}
- \item Not enough events in our data sample to fit for 11 parameters $\rightarrow$ need to simplify!
- \item Can use symmetries, to reduced the the parameters \\ to 9 $\rightarrow$ still a bit large!
- \end{itemize}
-
- \end{frame}
- %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
- \begin{frame}\frametitle{$\PBzero \rightarrow \PK^{\ast} \Pmu \Pmu$ Folding}
- \begin{itemize}
- \item One can simplify the angular distribution by folding: eg. $\phi \to \phi +\pi$ for ($\phi<0$).
- \item Cancels terms with $\cos \phi$ and $\sin \phi$.
-
- \end{itemize}
- \includegraphics[width=0.95\textwidth]{hql/eq2.png}
- \end{frame}
-
-
- %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
- \begin{frame}\frametitle{$\PBzero \rightarrow \PK^{\ast} \Pmu \Pmu$ angular distributions }
- \begin{itemize}
- \item Different foldings cancel different angular observables. \href{http://arxiv.org/abs/1308.1707}{\color{blue}[PRL 111 191801 (2013)]}
- \includegraphics[width=0.95\textwidth]{hql/ps.png}
- \item Observables $P'_{4,5} = S_{4,5}/\sqrt{F_L(1-F_L)}$
- \item Leading form-factor uncertainties cancel.
- \item In $1~fb^{-1}$, LHCb observes a local discreapncy of $3.7\sigma$ in $P'_5$.
- \item Probability that at least one bin varies by this much is $0.5\%$.
- \item SM prediction form: \href{http://arxiv.org/abs/1303.5794}{\color{blue} JHEP 05 (2013) 137}
-
- \end{itemize}
-
- \end{frame}
- %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%5
- \begin{frame}\frametitle{$\PBzero \rightarrow \PK^{\ast} \Pmu \Pmu$ update with $3~\invfb$ }
- \begin{columns}
- \column{3in}
- \begin{itemize}
- \item Recently we release a preliminary result with $3~\invfb$ \href{https://cds.cern.ch/record/2002772?ln=en}{\color{blue}[LHCb-CONF-2015-002]}
- \item Anomaly stays at $3.7~\sigma$.
- \item Soon a full result with finer bins!
- \end{itemize}
-
- \column{2in}
- \includegraphics[width=0.95\textwidth]{hql/AFBPad.pdf}
-
- \end{columns}
- \begin{columns}
- \column{0.1in}
- {~}
- \column{3in}
-
- \includegraphics[width=0.95\textwidth]{hql/P5pPad.pdf}
- \column{2in}
- \includegraphics[width=0.95\textwidth]{hql/S4Pad.pdf}
- \end{columns}
-
- \end{frame}
-
-
- %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
- \begin{frame}\frametitle{Understanding the $\PBzero \rightarrow \PK^{\ast} \Pmu \Pmu$ anomaly}
- \begin{columns}
- \column{3.5in}
- \begin{itemize}
- \item Matias, Decotes-Genon \& Virto performed a global fit to the avaible $\Pbeauty \to \Pstrange \Pphoton$ abd $\Pbeauty \to \Pstrange \Plepton \Plepton$.
- \item Found $4.5 \sigma$ discrepancy from SM.
- \item Fit favours $C_9^{NP}=1.5$
- \item \href{http://arxiv.org/abs/1307.5683}{\color{blue} PRD 88 074002 (2013)}
- \end{itemize}
- \begin{itemize}
- \item Straub \& Altmannshofer performed a global analysis and found discrepancies at the level of $3\sigma$. Data again best describes a modified $C_9$.
- \item Data can be explained by introducing a flavour changing $\PZprime$ boson, with mass $\mathcal{O}(10~TeV)$
- \item \href{http://arxiv.org/abs/1212.2263}{\blue{EPJC 73 2646 (2013)}}
- \end{itemize}
-
- \column{1.5in}
- \includegraphics[width=0.9\textwidth]{hql/np.png}
- \end{columns}
- \end{frame}
- %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
- %\begin{frame}\frametitle{Understanding the $\color{white}B^{0} \rightarrow K^{\ast} \mu \mu$ anomaly 2/2}
- %\begin{columns}
- %\column{3in}
-
- %\includegraphics[width=0.99\textwidth]{hql/c9.png}
- %\column{2in}
- %\begin{itemize}
- %\item High $q^2$ differential BF suggests are all below SM.
- %\item Better consistency with $C_9^{NP}=-1.5$
- %\end{itemize}
-
- %\end{columns}
-
-
- %\end{frame}
-
- %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
- \begin{frame}\frametitle{Lepton universality}
- \begin{columns}
- \column{3.0in}
- \begin{itemize}
- \item If $\PZprime$ is responsible for the $P'_5$ anomaly, does it couple equally to all flavours?
- \includegraphics[width=0.9\textwidth]{hql/uni2.png}
- \item Challenging analysis.
- \item Migration of events modeled by MC.
- \item Correct bremsstrahlung.
- \item Take double ratio with $\PBplus \to \PJpsi \PKplus$ to cancel systematics.
- \item In $3fb^{-1}$, LHCb measures $R_K=0.745^{+0.090}_{-0.074}(stat.)^{+0.036}_{-0.036}(syst.)$
- \item Consistent with SM at $2.6\sigma$.
-
- \end{itemize}
- \column{2.0in}
- \includegraphics[width=0.99\textwidth]{hql/universality.png}
- \end{columns}
- \end{frame}
- %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
- \begin{frame}\frametitle{Lepton universality with $\PBzero \rightarrow \PK^{\ast} \Pmu \Pmu$ anomaly}
- \begin{columns}
- \column{3in}
- \begin{itemize}
- \item Lepton flavour universality cannot be explained by any QCD effect!
- \item This effect is consistent with anomaly (non universal $\PZ'$)
- \item Global fit to $\Pbeauty \rightarrow \Pstrange \Pmuon \APmuon$ and $\Pbeauty \rightarrow \Pstrange \Pelectron \APelectron$ seems to favour $\PZ'$ with non lepton universal couplings.
- \end{itemize}
-
-
- \column{2in}
- \includegraphics[width=0.9\textwidth]{images/LU.png}
- \end{columns}
- \href{http://arxiv.org/pdf/1408.4097v3.pdf}{Ghosh et al.~1408.4097}
- \end{frame}
- %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
- \begin{frame}\frametitle{FCNC in charm decays}
- \begin{columns}
- \column{3.0in}
- \begin{itemize}
- \item GIM cancelation effective in $\Pcharm \to \Pup$ transitions due to small size of $m_b$.
- \item SM prediction:~$\mathcal{B}(\PDzero \to \mu \mu) \sim 6 \times 10^{-11}$
-
-
- \end{itemize}
- \column{1.5in}
- \includegraphics[width=0.9\textwidth]{hql/ds2mumu.png}
- \end{columns}
- \includegraphics[width=0.9\textwidth]{hql/ds2mumu2.png}
- \begin{small}
-
- \begin{itemize}
- \item Use $\PDstar^{\pm}$ and exploit small $\Delta m$ for background suppression.
- \item Limitation is $\pi \to \mu$ mis-id.
- \item Limit: $\mathcal{B}(\PDzero \to \mu \mu)<6.2\times 10^{-9}$ at $90\%$ CL
- \item \href{http://arxiv.org/abs/1305.5059}{\color{blue} PLB 725 (2013) 15-24}
- \end{itemize}
-
- \end{small}
- \end{frame}
-
-
-
- %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
- \begin{frame}\frametitle{Conclusions}
- \begin{columns}
- \column{3.2in}
- \begin{itemize}
- \item Rare decays play important role in hutting NP.
- \item Can access NP scales beyond reach of GPD.
- \item Tension in $\Pbeauty \to \Pstrange \Plepton \Plepton$, theory correct?
- \item List of decays presented in this talk is just a tip of iceberg:
- \begin{itemize}
- \item Please look at ours: isospin, $A_{CP}$.
- \item More are on their way.
- \end{itemize}
-
-
- \end{itemize}
- \column{2in}
- \includegraphics[width=0.9\textwidth]{hql/higgs_boring.png}
- \end{columns}
-
- \end{frame}
-
-
- \end{document}