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83c8d6f..5153682 100644 --- a/Seminars/Adelaide/mchrzasz.pdf +++ b/Seminars/Adelaide/mchrzasz.pdf Binary files differ diff --git a/Seminars/Adelaide/mchrzasz.snm b/Seminars/Adelaide/mchrzasz.snm index fbfe156..c9c08fe 100644 --- a/Seminars/Adelaide/mchrzasz.snm +++ b/Seminars/Adelaide/mchrzasz.snm @@ -1,3 +1,3 @@ -\beamer@slide {Js}{15} -\beamer@slide {LargeRecoilAs}{16} -\beamer@slide {eq:physPars}{49} +\beamer@slide {Js}{16} +\beamer@slide {LargeRecoilAs}{17} +\beamer@slide {eq:physPars}{50} diff --git a/Seminars/Adelaide/mchrzasz.synctex.gz b/Seminars/Adelaide/mchrzasz.synctex.gz index cfc04cc..f290c93 100644 --- a/Seminars/Adelaide/mchrzasz.synctex.gz +++ b/Seminars/Adelaide/mchrzasz.synctex.gz Binary files differ diff --git a/Seminars/Adelaide/mchrzasz.tex b/Seminars/Adelaide/mchrzasz.tex index 00129ac..7ca9685 100644 --- a/Seminars/Adelaide/mchrzasz.tex +++ b/Seminars/Adelaide/mchrzasz.tex @@ -642,8 +642,6 @@ \end{frame} -\iffalse - \begin{frame}{Tools in rare $\PBzero$ decays} {~} \begin{minipage}{\textwidth} @@ -689,7 +687,7 @@ \vspace*{2.1cm} \end{frame} -\fi + \begin{frame}{Analysis of Rare decays} @@ -904,11 +902,20 @@ \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 + +\only<1>{ +\ARROW In practice one measures normalized $J$ by branching fractions: +\begin{equation*} +S_i/A_i = \frac{J_i \pm \overline{J}_i}{d\Gamma + d \overline{\Gamma}/dq^2} +\end{equation*} + + +} +\only<2>{ $\color{JungleGreen}{\Rrightarrow}$ 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)} }\nonumber } - +} \end{minipage} \vspace*{2.1cm} @@ -1975,9 +1982,8 @@ %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% -\begin{frame}{Disclaimer, credit to J.Matias!} +\begin{frame}{Disclaimer 1 } {~} -\begin{footnotesize} @@ -1985,83 +1991,29 @@ \ARROW \href{http://arxiv.org/abs/1512.07157}{\color{blue}{arXiv:1512.07157}}, Ciuchini, Fedele, Franco, Mishima, Paul, Silvestrini, Valli\\ \begin{itemize} \item Introduce a fully arbitrary parametrization for non-factorizable power correction: - -$$H_\lambda \to H_\lambda + h_\lambda \,\, {\rm where} \,\, h_{\lambda}=h_{\lambda}^{(0)}+h_{\lambda}^{(1)} q^2 + h_{\lambda}^{(2)} q^4 \quad {\rm and} \quad h_{\lambda}^{(0)}\to C_7^{NP}, h_{\lambda}^{(1)}\to C_9^{\rm NP}$$ with ($\lambda=0,\pm$)\hfill(copied from JC'14).\\ +\begin{align*} +\H_\lambda \to H_\lambda + h_\lambda \,\, {\rm where} \,\, h_{\lambda}=h_{\lambda}^{(0)}+h_{\lambda}^{(1)} q^2 + h_{\lambda}^{(2)} q^4 \quad {\rm and} \\ \quad h_{\lambda}^{(0)}\to C_7^{NP}, h_{\lambda}^{(1)}\to C_9^{\rm NP} +\end{align*} + with ($\lambda=0,\pm$)\hfill(copied from JC'14).\\ {\bf Complications:} complete lack of theory input/output $\Rightarrow$ {\bf no predictivity} with 18 free parameters (any shape). Specific problems... -\item One has to go back and look at the symmetries of the amplitudes. They imply the Matias-Serra relations: -\begin{align*} -P_2^{rel}=\frac{1}{2} \left[ P_4^\prime P_5^\prime + \delta_a+ \frac{1}{\beta}\sqrt{(-1 +P_1 +P_4^{\prime 2}) (-1 - P_1 + \beta^2 P_5^{\prime 2}) + \delta_b} \right] -\end{align*} - -\hfill where $\delta_a$ and $\delta_b$ are function of product of tiny $P_6^\prime$, $P_8^\prime$, $P_3$.\medskip\\ -\ARROW {\it This is truly independently of any crazy non-factorizable, factorizable, or New Physics (with no weak phases) that is included inside the $H_\lambda$ (or $A_{\perp,\|,0}$)} +\item Because of the polynomial parametrization this is completely unphysical as it will never reproduce the amplitudes that where measured at the $B \to K^{\ast} \PJpsi$. \end{itemize} - \end{minipage}\end{footnotesize} + \end{minipage} \vspace*{2.1cm} \end{frame} -%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% -\begin{frame}{Disclaimer, credit to J.Matias!} -{~} -\begin{footnotesize} - - -\ARROW Using theory predictions (DHMV'15, JHEP 1412 (2014) 125) for {\bf bin [4,6]} one has: -\begin{center} - -$$ \av{P_1}=0.03 \quad \av{P_4^\prime}=+0.82 \quad \av{P_5^\prime}=- 0.82 \quad -\av{P_2}=\bf \cgreen-0.18 $$ -% -\end{center} -\ARROW consistency relation $\Rightarrow$ $\av{P_2}^{rel}=\bf \cgreen -0.17$ ($ \cred \Delta\bf=0.01$ from binning). Perfect agreement!\\ -\ARROW The previous relation can be rewritten in terms of $A_{\rm FB}=f(F_L,S_i)$: -\begin{tiny} - -\begin{center}{\tiny \begin{tabular}{c|ccccc} - -& & $CFFMPSV_{{\rm predictions}}$ & $CFFMPSV_{{\rm full\, fit}}$ & \hspace*{-1.5cm}SM-DHMV \\ \hline - - - \multirow{2}{*}{$[4,6]$} & $\av{A_{\rm FB}}^{rel}$ & \hspace*{-1.5cm}$\bf\cred-0.14\pm 0.04$ & \hspace*{-1.3cm}$\bf \cred-0.16\pm 0.03$ & \hspace*{-1.3cm}$+0.05 \pm 0.19$ & % \\ -%& $[6,8]$ & $--$ & $--$ & $--$ & $+0.52$ -\\ %\midrule - &$\av{A_{\rm FB}}\,\,\,\,$ & \hspace*{-1.5cm}$\quad\quad\quad\,\,\,\bf\cred +0.05 \pm 0.04\Rightarrow 3.7\sigma$ & \hspace*{-1.3cm}$\quad\quad\quad\,\,\,\bf \cred +0.04\pm 0.03\Rightarrow 4.8\sigma$ & \hspace*{-1.3cm}$\quad\quad\quad\quad\,\,\,+0.08\pm 0.11\Rightarrow \bf\cgreen 0.1\sigma$ & %\\ -%& $-|\delta \C{i}|$ & $--$ & $--$ & $--$ & $+0.52$ -\\ \hline - - \multirow{2}{*}{$[6,8]$} & $\av{A_{\rm FB}}^{rel}$ & \hspace*{-1.5cm}$-0.27\pm 0.08$ & \hspace*{-1.3cm}$-0.15\pm 0.05$ & \hspace*{-1.3cm}$+0.17 \pm 0.18$ & % \\ - -\\ %\midrule - &$\av{A_{\rm FB}}\,\,\,\,$ & \hspace*{-1.5cm}$\quad\quad\quad\,\,\, +0.12 \pm 0.08\Rightarrow 3.6\sigma$ & \hspace*{-1.3cm}$\quad\quad\quad\,\,\,+0.13\pm 0.03\Rightarrow 4.9\sigma$ & \hspace*{-1.3cm}$\quad\quad\quad\quad\,\,\,+0.21\pm 0.21\Rightarrow \bf\cgreen 0.1\sigma$ & %\\ -%& $-|\delta \C{i}|$ & $--$ & $--$ & $--$ & $+0.52$ -\\ - - -\end{tabular}} -\end{center} -\end{tiny} -\begin{itemize} -\item "{\it No deviation is present once all the theoretical uncertainties are taken into account}". -\end{itemize} - - - -\end{footnotesize} - \vspace*{2.1cm} -\end{frame} - %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% -\begin{frame}\frametitle{Disclaimer } +\begin{frame}\frametitle{Disclaimer 2} \ARROW arXiv::1603.04355 \begin{center} \includegraphics[width=0.9\textwidth]{images/NP.png} @@ -2072,7 +2024,7 @@ %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% -\begin{frame}\frametitle{Disclaimer } +\begin{frame}\frametitle{Disclaimer 2} \ARROW arXiv::1603.04355 \begin{columns} \column{0.1in} diff --git a/Seminars/Padova/mchrzasz.log b/Seminars/Padova/mchrzasz.log index f5816ef..adf9ed3 100644 --- a/Seminars/Padova/mchrzasz.log +++ b/Seminars/Padova/mchrzasz.log @@ -1,4 +1,4 @@ -This is XeTeX, Version 3.1415926-2.5-0.9999.3 (TeX Live 2013/Debian) (format=xelatex 2015.4.1) 22 MAR 2016 15:16 +This is XeTeX, Version 3.1415926-2.5-0.9999.3 (TeX Live 2013/Debian) (format=xelatex 2015.4.1) 19 OCT 2016 12:30 entering extended mode restricted \write18 enabled. %&-line parsing enabled. @@ -4565,22 +4565,18 @@ (./mchrzasz.aux) Package atveryend Info: Empty hook `AtVeryEndDocument' on input line 2148. 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