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Specific problems... -\item "{\it No deviation is present once all the theoretical uncertainties are taken into account}". +\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 true independently of any crazy non-factorizable, factorizable, or New Physics (with no weak phases) that is included inside the $H_\lambda$ (or $A_{\perp,\|,0}$)} \end{itemize} @@ -2001,11 +2007,90 @@ +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% +\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 } +\ARROW arXiv::1603.04355 +\begin{center} +\includegraphics[width=0.9\textwidth]{images/NP.png} +\end{center} + + +\end{frame} + + +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% +\begin{frame}\frametitle{Disclaimer } +\ARROW arXiv::1603.04355 +\begin{columns} +\column{0.1in} +{~} +\column{3in} +\ARROW ''{\it The relation in Eq. (24) between form factors is expected to be satisfied in the large $q^2$ region. Eq. (24) is naturally satisfied if it is valid at each order in the Taylor expansion of the form factors}''\\ +\ARROW They need the Eq. 24 to be valid with at least leading order at the Taylor expansion.\\ +\ARROW But this is not guaranteed as a resonant contribution can violate this expression.\\ + +\column{2in} +\includegraphics[width=0.9\textwidth]{images/mist.png}\\ +\includegraphics[width=0.9\textwidth]{images/reson.png}\\ + +\end{columns} + + +\end{frame} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \begin{frame}{Conclusions}