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+\usepackage{braket} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%5 \definecolor{mygreen}{cmyk}{0.82,0.11,1,0.25} @@ -40,24 +40,18 @@ % --------------------------- SLIDE -------------------------------------------- -\begin{frame}\frametitle{Fast reminder} +\section{BaBar Detector} +\begin{frame}\frametitle{BaBar Detector} \begin{columns} -\column{2.8in} +\column{2.5in} \begin{itemize} -\item HBT interferometry can be used to study the diameters of source. -\item For indistinguishable particles the phenomena is know as Bose-Einstein Correlations(BEC). -\item BEC correlations occur as enhancement of same particles in the low $Q$ region. -\item We already observed the effects. -\item For now I want to make BEC for pions, kaons are for future(less statistics). -\item Use 2011 sample. +\item PEP-II, an asymmetric $\Pelectron \APelectron$ collider. +\item Operating mostly at $\PUpsilon(4S)$ threshold. \end{itemize} -\begin{equation} -m =a b \PB -\end{equation} - -\column{2.2in} -%\includegraphics[height=3.cm,keepaspectratio]{images/HBT.png} +\includegraphics[width=0.95\textwidth]{images/bbr_det.png} +\column{2.5in} +\includegraphics[width=0.95\textwidth]{images/bbr_lumi.png} \end{columns} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% @@ -65,6 +59,202 @@ \end{frame} +\begin{frame}\frametitle{B factories} +\begin{columns} +\column{2.5in} + +\includegraphics[width=0.95\textwidth]{images/upsilon1.png}\\ +\includegraphics[width=0.95\textwidth]{images/topo.png} +\column{2.5in} +\begin{itemize} +\item $\PB$ mesons produced in a clean environment. +\item Just above the $m(\PB \PB)$ threshold. +\end{itemize} +\includegraphics[width=0.95\textwidth]{images/ee_col.png} + +\end{columns} +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% + + +\end{frame} + +\section{CP violation in $\PB \APB$ mixing} + +\begin{frame}\frametitle{$\PBzero \APBzero$ mixing} + +\begin{itemize} +\item Neutral mesons couple to their anti particles via weak interactions. + +\end{itemize} + +\begin{columns} +\column{3.4in} + +\begin{itemize} +\item $\PBzero \Leftrightarrow \APBzero$, $\PB s\Leftrightarrow \APBs$, $\PK \Leftrightarrow \APK$. +\item We can writhe the weak eigenstates as: +\end{itemize} +\begin{equation*} +\ket{B_{L/H}} = \dfrac{1}{\sqrt{p^2+q^2}} (p \ket{\PBzero} \pm q \ket{\APBzero}) +\end{equation*} +\begin{itemize} +\item Then the CP asymmetry can can be written as: +\end{itemize} +\begin{equation*} +A_{CP} = \dfrac{\mathcal{P}(\APBzero \to \PBzero) - \mathcal{P}(\PBzero \to \APBzero) }{\mathcal{P}(\APBzero \to \PBzero) + \mathcal{P}(\PBzero \to \APBzero)}\approx 2(1-|\frac{q}{p}|) +\end{equation*} +\column{1.5in} +\begin{center} +\includegraphics[width=0.99\textwidth]{images/Bmixing_dia.png} +\end{center} + +\end{columns} +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% +\begin{itemize} +\item $\PUpsilon(4S)$ has an anti-symmetric state: $\dfrac{1}{\sqrt{2}} (\PBzero(t_1) \APBzero(t_2) - \APBzero(t_1) \PBzero(t_2)$ +\item One $\PB$ is a specific flavour state tags the other one. +\end{itemize} + +\end{frame} + + %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%5 +\begin{frame}\frametitle{Inclusive dilepton measurement} +\begin{itemize} +\item $\PB$ mesons decay in $\sim 10\%$ semileptonicaly. +\item Charge of lepton determines the $\PB$ meson flavour. +\item If one observes same sign leptons $\to$ mixing occurred: +\end{itemize} +\begin{columns} + +\column{0.5in} +{~} +\column{2.5in} +\begin{itemize} +\item $\Plepton^- \Plepton^{+}$: no mixing +\item $\Plepton^- \Plepton^{-}$: $\PBzero \to \APBzero$. +\item $\Plepton^+ \Plepton^{+}$: $\APBzero \to \PBzero$. +\end{itemize} +\column{2in} +\includegraphics[width=0.65\textwidth]{images/semillep.png} + +\end{columns} +\begin{itemize} +\item Writing down the mixing provabilities~(time integrated): +\end{itemize} +\begin{equation*} +\mathcal{P}^{\pm \pm} \propto (1 \pm A_{CP}) \chi_d +\end{equation*} +\begin{equation*} +\mathcal{P}^{\pm \mp} \propto (1 -\chi_d) +\end{equation*} + + + +\end{frame} + + %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%5 +\begin{frame}\frametitle{Detector effects} +\begin{footnotesize} + + +\begin{itemize} +\item Detector is not a perfect device $\to$ Introduced charge asymmetries $a_{\Plepton_j}$ for each $\Plepton_j$. +\item $\PUpsilon(4S)$ also goes to $\PBplus \PBminus$. Contribution: $r_B = N_{\PB^+ \PB^-}/N_{\PBzero \APBzero}$. +\item Time integrated probability gets modified: + +\begin{align*} +\mathcal{P}^{\pm \pm} \propto (1 \pm a_{\Plepton_1} \pm a_{\Plepton_2} \pm A_{CP}) \chi_d \\ +\mathcal{P}^{\pm \mp} \propto (1 -\chi_d + r_B)(1 \pm a_{\Plepton_1} \mp a_{\Plepton_2} ) +\end{align*} +\item Summing over all events in $\Plepton_1 \Plepton_2 \in \lbrace \Pe \Pe, \Pe \Pmu, \Pmu \Pe, \Pmu \Pmu \rbrace$ categories: + +\begin{align*} +N^{\pm \pm}_{\Plepton_1 \Plepton_2} = 1/2 N^0_{\Plepton_1 \Plepton_2} (1 \pm a_{\Plepton_1} \pm a_{\Plepton_2} \pm A_{CP}) \chi_d^{\Plepton_1 \Plepton_2}\\ +N^{\pm \mp}_{\Plepton_1 \Plepton_2}= 1/2 N^0_{\Plepton_1 \Plepton_2} (1 -\chi_d^{\Plepton_1 \Plepton_2} + r_B)(1 \pm a_{\Plepton_1} \mp a_{\Plepton_2} ) +\end{align*} + +\item We got 16 observables, and 13 unknowns. $a_{\Plepton_j}$ highly correlated. +\item Adding events containing only single electron for $a_{\Pe}$ constrain. +\item 17 observables as input to $\chi^2$ fit, extracting: $A_{CP}$, 4 signal yields,\\ 4 efficiency asymmetries, 4 mixing probabilities. +\end{itemize} + + + + +\end{footnotesize} + +\end{frame} + + %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%5 +\begin{frame}\frametitle{Fit results} +\begin{center} +\begin{footnotesize} + +\begin{tabular}{c c c c} +\hline \hline +\multicolumn{2}{c}{$A_{CP} = (-3.9 \pm 3.5)\times 10^{-3}$} & \multicolumn{2}{c}{ \includegraphics[height=0.5cm]{images/Babar_with_banner.jpg}~\href{http://arxiv.org/abs/1411.1842}{PRL 114, 081801 (2015)} }\\ \hline %\hline +$N^0_{\Pe\Pe}$ & $N^0_{\Pe\Pmu}$ & $N^0_{\Pmu\Pe}$ & $N^0_{\Pmu\Pmu}$ \\ +$430875 \pm 515$ & $365343 \pm 429$ & $458200 \pm 480$ & $268077 \pm 381$ \\ +$\chi_d^{\Pe\Pe}$ & $\chi_d^{\Pe\Pmu}$ & $\chi_d^{\Pmu\Pe}$ & $\chi_d^{\Pmu\Pmu}$ \\ +$0.2248 \pm 0.0006$ & $0.1769 \pm 0.0006$ & $0.1754 \pm 0.0005$ & $0.2032 \pm 0.0007$ \\ +$a^{\Pe 1}$ & $a^{\Pe 2}$ & $a^{\Pmu 1}$ & $a^{\Pmu 2}$ \\ +$0.0034 \pm 0.0006$ & $0.0030 \pm 0.006$ & $-0.0056 \pm 0.0011$ & $-0.0065 \pm 0.0011$ \\ \hline +\end{tabular} +{~}\\ +\begin{columns} +\column{0.5in}{~} +\column{2.5in} +\includegraphics[width=0.75\textwidth]{images/pull.png} +\begin{itemize} +\item Result $A_{CP} = (-3.9 \pm 3.5 \pm 1.9 )\times 10^{-3}$ in agreement with SM. +\end{itemize} +\column{2.5in} +\includegraphics[width=0.76\textwidth]{images/hfag.png} +\end{columns} + +\end{footnotesize} +\end{center} + + +\end{frame} + + %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%5 +\begin{frame}\frametitle{Flavour-changing neutral current} +\begin{itemize} +\item CKM structure in SM allows only the charged interactions to change flavour. +\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 by the GIM in SM $\to$~Rare decays. +\end{itemize} +\item LHCb already sees a $3.7~\sigma$ deviation in the angular observables in $\PBzero \to \PKstar \Pmuon \APmuon$. See my talk LINK. +\item Here we present CP observables in $b \to s \Pphoton$ and $b \to s \Plepton \Plepton$ decays. +\end{itemize} + + + \end{frame} + + + %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%5 +\begin{frame}\frametitle{Flavour-changing neutral current} +\begin{itemize} +\item CKM structure in SM allows only the charged interactions to change flavour. +\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 by the GIM in SM $\to$~Rare decays. +\end{itemize} +\item LHCb already sees a $3.7~\sigma$ deviation in the angular observables in $\PBzero \to \PKstar \Pmuon \APmuon$. See my talk LINK. +\item Here we present CP observables in $b \to s \Pphoton$ and $b \to s \Plepton \Plepton$ decays. +\end{itemize} + + + \end{frame} + + + + + + + \end{document} diff --git a/DIS2015/CPV/mchrzasz.toc b/DIS2015/CPV/mchrzasz.toc index ab3aa12..730de86 100644 --- a/DIS2015/CPV/mchrzasz.toc +++ b/DIS2015/CPV/mchrzasz.toc @@ -1,2 +1,4 @@ \beamer@endinputifotherversion {3.24pt} \select@language {english} +\beamer@sectionintoc {1}{BaBar Detector}{2}{0}{1} +\beamer@sectionintoc {2}{CP violation in $\PB \APB $ mixing}{4}{0}{2}