  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.
