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

TL;DR

This paper compares predictions from AdS/QCD and QCD sum rules for the rare decay $B\to K^* \nu \bar\nu$, highlighting potential for experimental discrimination between models based on upcoming measurements.

Contribution

It provides a comparative analysis of form factors from two theoretical approaches and predicts observable differences in decay characteristics.

Findings

Predicted differential branching ratios differ between models.

Longitudinal polarization fractions show model-dependent variations.

Future measurements can distinguish between AdS/QCD and sum rule predictions.

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.