B_s \to \rho(\omega) K^* with Perturbative QCD approach

Abstract

$B_s\to \rho (\omega )K^{\ast }$ are useful to determine the $B_s$ distribution amplitude, as well as constrain the CKM phase angle $\alpha$. We study these decays within the Perturbative QCD (PQCD) picture. In this approach, we calculate factorizable, non-factorizable, as well as annihilation diagrams. We find the branching ratio for $B_s\to {\rho }^{+}{K}^{\ast -}$ is big to order $10^{-5}$, we also find there's large direct CP violation in $B_s({\bar{B}}_s)\to {\rho }^0(\omega ){\bar{K}}^{\ast 0}(K^{\ast 0})$. Our predictions are consistent with those from other methods and current experiments.

Comments: 16 pages, 5 figures