AdS/QCD predictions for semileptonic and rare B decays to $\rho$ and $K^*$ 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 $K^*$ vector mesons. These distribution amplitudes are then utilized to calculate the $B \to \rho ,\; K^*$ 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 $B \to K^* \mu^+ \mu^-$ decays.