Predicting the $B -> \rho$ form factors using AdS/QCD Distribution Amplitudes for the $\rho$ meson

Abstract

We use QCD light-cone sum rules (LCSR) with holographic anti de Sitter/Chromodynamics (AdS/QCD) Distribution Amplitudes (DAs) for the $\rho$ meson to predict the form factors that govern the leading amplitudes of the rare radiative $B -> \rho \gamma$ decay and the semileptonic decay $B -> \rho l \nu$. We test the Isgur-Wise relation between the radiative and semileptonic form factors. We also compute the total width (in units of $|V_{ub}|^2$) for the semileptonic decay $B -> \rho l \nu$ as well as ratios of partial decay widths which are independent of $|V_{ub}|$.