  We use QCD light-cone sum rules with holographic anti de
Sitter/Chromodynamics (AdS/QCD) Distribution Amplitudes (DAs) for the $K^*$
meson in order to predict the full set of seven $B \to K^*$ transition form
factors for intermediate-to-high recoil of the vector meson. We provide simple
parametrizations for the form factors that fit our AdS/QCD predictions. We also
provide parametrizations that fit both our AdS/QCD predictions and the most
recent lattice data for low recoil. We use our form factors to predict the
differential and total branching fraction of the rare dileptonic decay $B \to
K^* \mu^+ \mu^-$ which we compare to the recent LHCb data.

High Energy Physics - Phenomenology