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

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 $B\to K^{\ast }\nu \bar{\nu }$ 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 $B\to K^{\ast }\nu \bar{\nu }$ with around 30% accuracy can discriminate between the two models.

Comments: 5 pages, 9 figures, To appear in the proceedings of The International Conference on B-Physics at Frontier Machines - BEAUTY2018, 6-11 May, 2018, La Biodola, Elba Island, Italy