AdS/QCD predictions for semileptonic and rare B decays to $\rho$ and $K^{\ast }$ vector mesons

Abstract

The light front wavefunction obtained from anti-de Sitter Quantum Chromodynamics is used to calculate the light cone distribution amplitudes for $\rho$ and $K^{\ast }$ vector mesons. These distribution amplitudes are then utilized to calculate the $B\to \rho ,K^{\ast }$ transition form factors via light cone sum rules. Two-parameter fits of our results for low to intermediate momentum transfer $q^2$ that includes the QCD lattice data at high $q^2$ are presented. Consequently, we give predictions for the semileptoic $B\to \rho \ell \nu$ and dileptonic $B\to K^{\ast }{\mu }^{+}{\mu }^{-}$ decays.

Comments: 7 pages, 5 figures. Contribution to the proceedings of the DIS 2015 conference in Dallas, Texas, April 27th to May 1st 2015