The Riddle of Polarization in $B\to VV$ Transitions

Abstract

Measurements of polarization fractions in $B\to VV$ transitions, with $V$ a light vector meson, show that the longitudinal amplitude dominates in $B^0\to {\rho }^{+}{\rho }^{-}$, $B^{+}\to {\rho }^{+}{\rho }^0$, and $B^{+}\to {\rho }^0{K}^{\ast +}$ decays and not in the penguin induced decays $B^0\to \varphi K^{\ast 0}$, $B^{+}\to \varphi K^{\ast +}$. We study the effect of rescattering mediated by charmed resonances, finding that in $B\to \varphi K^{\ast }$ it can be responsible of the suppression of the longitudinal amplitude. For the decay $B\to \rho K^{\ast }$ we find that the longitudinal fraction cannot be too large without invoking new effects.

arXiv commentLaTex, 14 pages, 3 figures

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