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

TL;DR

This paper employs holographic AdS/QCD distribution amplitudes within QCD light-cone sum rules to predict $B o ho$ decay form factors, testing theoretical relations and computing decay widths.

Contribution

It introduces a novel approach using AdS/QCD DAs in LCSR to predict $B o ho$ form factors and tests the Isgur-Wise relation in this context.

Findings

Predicted form factors for $B o ho$ decays.

Validated the Isgur-Wise relation.

Computed decay widths and ratios independent of $|V_{ub}|$.

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 $|V_{ub}|$.