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3f38713..3e11c68 100644 --- a/KEK_Workshop_2015/mchrzasz.pdf +++ b/KEK_Workshop_2015/mchrzasz.pdf Binary files differ diff --git a/KEK_Workshop_2015/mchrzasz.snm b/KEK_Workshop_2015/mchrzasz.snm index 36ccbad..1c2708d 100644 --- a/KEK_Workshop_2015/mchrzasz.snm +++ b/KEK_Workshop_2015/mchrzasz.snm @@ -1,5 +1,5 @@ -\beamer@slide {Js}{8} -\beamer@slide {LargeRecoilAs}{9} -\beamer@slide {symmassless}{11} -\beamer@slide {eq:pdfpwave}{11} -\beamer@slide {eq:physPars}{23} +\beamer@slide {Js}{10} +\beamer@slide {LargeRecoilAs}{11} +\beamer@slide {symmassless}{13} +\beamer@slide {eq:pdfpwave}{13} +\beamer@slide {eq:physPars}{27} diff --git a/KEK_Workshop_2015/mchrzasz.tex b/KEK_Workshop_2015/mchrzasz.tex index 2518078..60f2efa 100644 --- a/KEK_Workshop_2015/mchrzasz.tex +++ b/KEK_Workshop_2015/mchrzasz.tex @@ -241,15 +241,20 @@ -\author{ {\fontspec{Trebuchet MS}Marcin Chrz\k{a}szcz} (Universit\"{a}t Z\"{u}rich)} -\institute{UZH} -\title[$\PBzero \to \PKstar \Pmuon \APmuon$ update]{$\PBzero \to \PKstar \Pmuon \APmuon$ update} +\author{ {\fontspec{Trebuchet MS}Marcin Chrz\k{a}szcz} (Universit\"{a}t Z\"{u}rich, IFJ PAN)} +\institute{UZH, IFJ PAN} +\title[Electroweak penguin measurements]{Electroweak penguin measurements} \date{25 September 2014} \begin{document} \tikzstyle{every picture}+=[remember picture] + + + + +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% { \setbeamertemplate{sidebar right}{\llap{\includegraphics[width=\paperwidth,height=\paperheight]{bubble2}}} \begin{frame}[c]%{\phantom{title page}} @@ -277,20 +282,24 @@ \flushright \vspace{-1.8em} {\fontspec{Trebuchet MS} \Large Marcin ChrzÄ…szcz\\\vspace{-0.1em}\small \href{mailto:mchrzasz@cern.ch}{mchrzasz@cern.ch}} \end{column} -\begin{column}{0.53\textwidth} -\includegraphics[height=1.3cm]{uzh-transp} -\end{column} +\begin{column}{0.53\textwidth} +\includegraphics[height=1.3cm]{uzh-transp}{~}{~} +\includegraphics[height=1.1cm]{ifj.png} +\end{column} \end{columns} \vspace{1em} -% \footnotesize\textcolor{gray}{With N. Serra, B. Storaci\\Thanks to the theory support from M. Shaposhnikov, D. Gorbunov}\normalsize\\ -\vspace{0.5em} + \footnotesize\textcolor{gray}{Universit\"{a}t Z\"{u}rich, \\ Institute of Nuclear Physics, Polish Academy of Science}\normalsize\\ +\vspace{0.5em} - \textcolor{normal text.fg!50!Comment}{$5^{th}$ KEK Flavour Factory Workshop \\October 26-27, 2015} + \textcolor{normal text.fg!50!Comment}{$5^{th}$ KEK Flavour Factory Workshop \\October 26-27,\\ Tokyo 2015} \end{center} \end{frame} } + + + \iffalse \begin{frame}{Outline} @@ -315,6 +324,68 @@ +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% +\begin{frame}\frametitle{Why rare decays?} +\begin{columns} +\column{4in} +\begin{itemize} +\item In SM allows only the charged interactions to change flavour. +\begin{itemize} +\item Other interactions are flavour conserving. +\end{itemize} +\item One can escape this constrain and produce $\Pbottom \to \Pstrange$ and $\Pbottom \to \Pdown$ at loop level. +\begin{itemize} +\item This kind of processes are suppressed in SM $\to$~Rare decays. +\item New Physics can enter in the loops. +\end{itemize} +\end{itemize} +\begin{center} +\includegraphics[scale=0.3]{images/lupa.png} +\includegraphics[scale=0.3]{images/example.png} +\end{center} +\column{1.5in} +\includegraphics[width=0.61\textwidth]{images/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^{\prime \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} +where $C_i$ are the Wilson coefficients and $O_i$ are the corresponding effective operators. +\begin{center} +\includegraphics[width=0.85\textwidth,height=3cm]{images/all.png} + +\end{center} + + +\end{frame} + + +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% + \begin{frame} \only<1>{\frametitle{LHCb detector - tracking} \begin{columns} @@ -364,7 +435,6 @@ - %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \begin{frame}{Recent measurements} {~} @@ -510,12 +580,12 @@ &&\hspace{-2.7cm}+ (J_{6s} \sin^2\theta_K + {J_{6c} \cos^2\theta_K}) \cos\theta_l + J_7 \sin 2\theta_K \sin\theta_l \sin\phi + J_8 \sin 2\theta_K \sin 2\theta_l \sin\phi \nn\\[1.5mm] &&\hspace{-2.7cm}+ J_9 \sin^2\theta_K \sin^2\theta_l \sin 2\phi \bigg]\,, -} -}} +\nonumber} +}}\\{~}\\ $\color{JungleGreen}{\Rrightarrow}$ This is the most general expression of this kind of decay.\\ $\color{JungleGreen}{\Rrightarrow}$ The $CP$ averaged angular observables are defined:\\ \eq{ -S_i = \dfrac{J_i+ \bar{J}_i}{(d \Gamma + d \bar{\Gamma})/dq^2} +S_i = \dfrac{J_i+ \bar{J}_i}{(d \Gamma + d \bar{\Gamma})/dq^2}\nonumber } } @@ -554,7 +624,7 @@ J_8 & = & \frac{1}{\sqrt{2}}\beta_\ell^2\left[\im(\azeL\apeL^* + \azeR\apeR^*)\right]\,, % \hspace{1.9cm} J_9 = \beta_\ell^2\left[\im (\apaL^{*}\apeL + \apaR^{*}\apeR)\right] \,, -\label{Js}} +\label{Js}\nonumber} }} \end{minipage} @@ -575,12 +645,12 @@ \apaLR &=& -\sqrt{2} N m_B (1-\hat s)\bigg[(\Ceff9 - \Cpeff9) \mp (\C{10} - \Cp{10}) +\frac{2\hat{m}_b}{\hat s}(\Ceff7 - \Cpeff7) \bigg] \xi_{\bot}(E_{K^*}) \nn \\[2mm] \azeLR &=& -\frac{N m_B (1-\hat s)^2}{2 \hat{m}_{K^*} \sqrt{\hat s}} \bigg[ (\Ceff9 - \Cpeff9) \mp (\C{10} - \Cp{10}) + 2\hat{m}_b (\Ceff7 - \Cpeff7) \bigg]\xi_{\|}(E_{K^*}), -\label{LargeRecoilAs}} +\label{LargeRecoilAs}\nonumber} }} where $\hat s = q^2 /m_B^2$, $\hat{m}_i = m_i/m_B$. The $\xi_{\|,\bot }$ are the form factors. \\ \pause $\color{JungleGreen}{\Rrightarrow}$ Now we can construct observables that cancel the $\xi$ form factors at leading order: -\eq{P_5^{\prime} = \dfrac{J_5+\bar{J}_5}{2\sqrt{-(J_2^c+\bar{J}_2^c)(J_2^s+\bar{J}_2^s)} } +\eq{P_5^{\prime} = \dfrac{J_5+\bar{J}_5}{2\sqrt{-(J_2^c+\bar{J}_2^c)(J_2^s+\bar{J}_2^s)} }\nonumber } @@ -593,13 +663,13 @@ \begin{frame}{Symmetries in $\PB \to \PKstar \Pmu \Pmu$} {~} \begin{minipage}{\textwidth} -$\color{JungleGreen}{\Rrightarrow}$ Eq.~\ref{dist} has 12 angular coefficients.\\ +$\color{JungleGreen}{\Rrightarrow}$ We have 12 angular coefficients ($S_i$).\\ $\color{JungleGreen}{\Rrightarrow}$ There exists 4 symmetry transformations that leave the angular distributions non changed: \begin{tiny} \eq{ n_\|=\binom{A_\|^L}{A_\|^{R*}}\ ,\quad n_\bot=\binom{A_\bot^L}{-A_\bot^{R*}}\ ,\quad -n_0=\binom{A_0^L}{A_0^{R*}}\ . +n_0=\binom{A_0^L}{A_0^{R*}}\ .\nonumber } \end{tiny} \begin{tiny} @@ -624,11 +694,11 @@ \end{array} \right] n_i \,. - \label{symmassless}} + \label{symmassless}\nonumber} \end{tiny} $\color{JungleGreen}{\Rrightarrow}$ Using this symmetries one can show that there are 8 independent observables. The pdf can be wrote as: \begin{tiny} -\begin{align} +\begin{align*} \left.\frac{1}{{\rm d}(\Gamma+\bar{\Gamma})/{\rm d}q^2}\frac{{\rm d}(\Gamma+\bar{\Gamma})}{{\rm dcos}\thetal\,{\rm dcos}\thetak\,{\rm d}\phi}\right|_{\rm P} = \tfrac{9}{32\pi}\bigl[ &\tfrac{3}{4} (1-{F_{\rm L}})\sin^2\thetak \label{eq:pdfpwave}\\[-0.75em] @@ -639,8 +709,8 @@ &+ {S_8} \sin 2\thetak \sin 2\thetal \sin\phi + {S_9}\sin^2\thetak \sin^2\thetal \sin 2\phi \nonumber \bigr]. %\end{split} -%\bigr], -\end{align} +%\bigr],\ +\end{align*} \end{tiny} \end{minipage} @@ -665,7 +735,8 @@ \column{0.5\textwidth} \begin{itemize} -\item PID, kinematics and isolation variables used in a Boosted Decision Tree (BDT) to discriminate signal and background. +\item \href{https://lhcb.web.cern.ch/lhcb/Physics-Results/LHCb-CONF-2015-002.pdf}{{\color{blue}{LHCb-CONF-2015-002}}} +\item PID, kinematics and isolation variables used in a Boosted Decision Tree (BDT) to reject background. \item Reject the regions of $\PJpsi$ and $\Ppsi(2S)$. \item Specific vetos for backgrounds: $\PLambdab \to \Pproton \PK \Pmu \Pmu$, $\PBs \to \Pphi \Pmu \Pmu$, etc. \item Using k-Fold technique and signal proxy $\PB \to \PJpsi \PKstar$ for training the BDT. @@ -706,6 +777,7 @@ \item Rel. Breit Wigner for P-wave \item Lass model for the S-wave. \item Linear model for background. +\item Reduced the systematic compared to previous analysis. \end{itemize} \end{itemize} @@ -795,6 +867,37 @@ \end{frame} + +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%5 +\begin{frame}\frametitle{$\PBzero \rightarrow \PK^{\ast} \Pmu \Pmu$ results} + \begin{minipage}{\textwidth} +\begin{columns} +\column{2.5in} +\includegraphics[angle=-90,width=0.95\textwidth]{images/Fig5a.pdf}\\ +\includegraphics[angle=-90,width=0.95\textwidth]{images/Fig5c.pdf} +\column{2.5in} +\includegraphics[angle=-90,width=0.95\textwidth]{images/Fig5b.pdf}\\ +\includegraphics[angle=-90,width=0.95\textwidth]{images/Fig5d.pdf} +\end{columns} +\end{minipage} + \vspace*{2.1cm} +\end{frame} + + %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%5 +\begin{frame}\frametitle{$\PBzero \rightarrow \PK^{\ast} \Pmu \Pmu$ results} + \begin{minipage}{\textwidth} +\begin{columns} +\column{2.5in} +\includegraphics[angle=-90,width=0.95\textwidth]{images/Fig5e.pdf}\\ +\includegraphics[angle=-90,width=0.95\textwidth]{images/Fig5f.pdf} +\column{2.5in} +\includegraphics[angle=-90,width=0.95\textwidth]{images/Fig5g.pdf}\\ +\includegraphics[angle=-90,width=0.95\textwidth]{images/Fig5h.pdf} +\end{columns} +\end{minipage} + \vspace*{2.1cm} +\end{frame} + %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \begin{frame}{Results in $\PB \to \PKstar \Pmu \Pmu$} \begin{minipage}{\textwidth} @@ -833,28 +936,30 @@ \end{columns} - - - - - \end{center} \vspace*{2.1cm} \end{frame} +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% + + + + %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \begin{frame}{Branching fraction measurements of $\PBs \to \Pphi \Pmu \Pmu$} {~} \begin{minipage}{\textwidth} \begin{center} - \includegraphics[width=0.65\textwidth]{images/bs2phipi.png}\\ + \includegraphics[height=4cm]{images/bs2phipi.png} + \includegraphics[height=4cm]{images/BsSel.png} \end{center} \begin{itemize} -\item Recent LHCb measurement [JHEPP09 (2015) 179]. +\item Recent LHCb measurement, \href{https://cds.cern.ch/record/2029820/files/JHEP09-179.pdf}{{\color{blue}{JHEPP09 (2015) 179}}}. \item Suppressed by $\frac{f_s}{f_d}$. \item Cleaner because of narrow $\Pphi$ resonance. \item $3.3~\sigma$ deviation in SM in the $1-6\GeV^2$ bin. +\item Angular part in agreement with SM ($S_5$ is not accessible). \end{itemize} @@ -883,7 +988,7 @@ \begin{itemize} -\item This years LHCb measurement [JHEP 06 (2015) 115]]. +\item This years LHCb measurement \href{http://arxiv.org/abs/1503.07138}{{\color{blue}{JHEP 06 (2015) 115}}}. \item In total $\sim 300$ candidates in data set. \item Decay not present in the low $q^2$. @@ -941,7 +1046,7 @@ \column{2.0in} \includegraphics[width=0.99\textwidth]{images/RK.png}\\ \begin{itemize} -\item \href{http://arxiv.org/abs/1406.6482}{Phys. Rev. Lett. 113, 151601 (2014)} +\item \href{http://arxiv.org/abs/1406.6482}{{\color{blue}{Phys. Rev. Lett. 113, 151601 (2014)}}}. \end{itemize} \end{columns} @@ -960,7 +1065,7 @@ \only<1>{ \begin{minipage}{\textwidth} \begin{itemize} - \item With the full data set ($3\invfb$) we performed angular analysis in $0.0004 < q^2 <1~\GeV^2$. + \item With the full data set ($3\invfb$) we performed angular analysis in $0.0004 < q^2 <1~\GeV^2$, \href{http://arxiv.org/abs/1503.07138}{{\color{blue}{JHEP 04 (2015) 064}}}. \item Electrons channels are extremely challenging experimentally: \begin{itemize} \item Bremsstrahlung. @@ -1005,7 +1110,7 @@ \begin{minipage}{\textwidth} \begin{itemize} -\item A preliminary fit prepared by \texttt{S. Descotes-Genon, L. Hofer, J. Matias, J. Virto}, presented at \href{http://arxiv.org/abs/1510.04239}{\color{blue}{1510.04239}} +\item A preliminary fit prepared by \texttt{S. Descotes-Genon, L. Hofer, J. Matias, J. Virto}, presented in \href{http://arxiv.org/abs/1510.04239}{\color{blue}{arXiv::1510.04239}} \item Took into the fit: \begin{itemize} \item $\mathcal{B} ( \PB \to X_s \Pphoton) = (3.36 \pm 0.23) \times 10^{-4} $, Misiak et. al. 2015. @@ -1015,7 +1120,7 @@ \item $PB_{(s)} \to \PKstar(\Pphi) \Pmu \Pmu$, Horgan et al 2013 \item $\PB \to \PK \Pe \Pe$, $\PB \to \PKstar \Pe \Pe$ and $R_k$. \end{itemize} -\item Overall there is around $4.5~\sigma$ discrepancy wrt. SM. +\item Overall there is $>4~\sigma$ discrepancy wrt. SM. \end{itemize} @@ -1025,14 +1130,13 @@ \end{minipage} \vspace*{2.1cm} \end{frame} - %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \begin{frame}{Theory implications} {~} \begin{minipage}{\textwidth} \begin{itemize} -\item A preliminary fit prepared by \texttt{S. Descotes-Genon, L. Hofer, J. Matias, J. Virto}, presented at \href{http://arxiv.org/abs/1510.04239}{\color{blue}{1510.04239}} +\item A preliminary fit prepared by \texttt{S. Descotes-Genon, L. Hofer, J. Matias, J. Virto}, presented in \href{http://arxiv.org/abs/1510.04239}{\color{blue}{arXiv::1510.04239}} \item The data can be explained by modifying the $C_9$ Wilson coefficient. \item Overall there is around $4.5~\sigma$ discrepancy wrt. SM. \end{itemize} @@ -1047,17 +1151,6 @@ -\begin{frame}{Theory implications} -{~} - \begin{minipage}{\textwidth} - -\includegraphics[height=0.9\textheight]{images/table.png} - - -\end{minipage} - \vspace*{2.1cm} -\end{frame} - %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \begin{frame}{If not NP?} {~} @@ -1067,7 +1160,7 @@ \item There might be something not taken into account in the theory. \item Resonances ($\PJpsi$, $\Ppsi(2S)$) tails can mimic NP effects. \item There might be some non factorizable QCD corrections.\\ -'' However, the central value of this effect would have to be significantly larger than expected on the basis of existing estimates'' \texttt{D.Straub, 1503.06199} +'' However, the central value of this effect would have to be significantly larger than expected on the basis of existing estimates'' \texttt{D.Straub}, \href{http://arxiv.org/abs/1503.06199}{ {\color{blue}{arXiv::1503.06199}}} . \end{itemize} \only<1>{ @@ -1172,4 +1265,18 @@ \backupend + + +\begin{frame}{Theory implications} +{~} + \begin{minipage}{\textwidth} + +\includegraphics[height=0.9\textheight]{images/table.png} + + +\end{minipage} + \vspace*{2.1cm} +\end{frame} + + \end{document}