SU(3) flavor symmetry andCPviolating rate differences for charmlessBPVdecays

Abstract
We derive several relations between CP violating rate differences$\Delta(B\to PV) = \Gamma(B\to PV) - \Gamma(\bar B \to \bar P \bar V)$ forcharmless $B\to P V$ decays in the Standard Model using SU(3) flavor symmetry.It is found that although the relations between branching ratios of $\Delta S =0$ and $\Delta S = -1$ processes are complicated, there are simple relationsindependent of hadronic models between some of the $\Delta S =0$ and $\Delta S= -1$ rate differences due to the unitarity property of the Kobayashi-Maskawamatrix, such as $ \Delta(B\to \pi^+ \rho^-) = -\Delta(B\to \pi^+ K^{*-})$,$\Delta(B\to \pi^- \rho^+) = - \Delta(K^- \rho^+)$. SU(3) breaking effects arealso estimated using factorization approximation. These relations can be testedat B factories in the near future