Light-front holography in $B$ physics

Abstract

We use AdS/QCD holographic Distributions Amplitudes for the vector mesons $\rho$ and $K^*$ in order to predict the radiative decays $B \to \rho \gamma$ and $B \to K^* \gamma$ as well as the semileptonic decays $B \to \rho l \nu$ and $B \to K^* \mu^+ \mu^-$. For the radiative decays, we find that the AdS/QCD DAs offer the advantage of avoiding end-point singularities when computing power suppressed contributions. For the semileptonic decays $B \to \rho l \nu$ and $B \to K^* \mu^+ \mu^-$, we compare our predictions to the latest BaBar and LHCb data respectively.