Comparing AdS/QCD and Sum Rules predictions for $B\to K^*\nu \bar\nu$

Abstract

Using the form factors obtained from holographic AdS/QCD and QCD sum rules, we predict the differential branching ratio and longitudinal polarization fraction for the rare $B\to K^* \nu \bar\nu$ decay. This is an interesting decay channel as it does not suffer from hadronic uncertainties beyond the form factors. We point out that the future measurement of the $B\to K^* \nu \bar\nu$ with around 30% accuracy can discriminate between the two models.