Inelastic Final-State Interactions of $B\to VV\to \pi K$ Processes

Abstract

We study the final-state interactions in $B\to \pi K$ decays through $B\to VV\to \pi K$ processes where the inelastic rescattering occurs via single pion exchange. The next-to-leading order low energy effective Hamiltonian and BSW model are used to evaluate the weak transition matrix elements and the final-state interactions. We found that the final-state interaction effects in $B\to \rho K^{\ast }\to \pi K$ processes are significant. The Fleischer-Mannel relation about the CKM angle $\gamma$ may be significantly modified.

Comments: Latex, 14 pages, with 1 figures and 2 tables