Polarization in charmless $B \to VV$ decays

Abstract

Recent data for B decays to two light vector mesons show that the longitudinal amplitude dominates in $B^0 \to \rho^+ \rho^-$, $B^+ \to \rho^+ \rho^0$, $\rho^0 K^{*+}$ decays and not in $B^0 \to \phi K^{*0}$, $B^+ \to \phi K^{*+}$. We consider rescattering mediated by charmed resonances, finding that in $B \to \phi K^*$ it can be responsible of the suppression of the longitudinal amplitude. A similar result is found for $B \to \rho K^{*}$.