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 $|V_{ub}|$.

Comments: 14 pages, 8 figures. Revised version after addressing Referee's comments