Direct CP Violation in $B^{\pm }\to {\rho }^{\pm }{\pi }^{+}{\pi }^{-}$ in the ${\rho }^0$-$\omega$ Interference Region

Abstract

We study direct CP violation in $B^{\pm }\to {\rho }^{\pm }{\rho }^0(\omega )\to {\rho }^{\pm }{\pi }^{+}{\pi }^{-}$ and focus specifically on the rate asymmetry in the ${\rho }^0$-$\omega$ interference region. Here the strong phase is dominated by isospin violation, so that it can be essentially determined by $e^{+}{e}^{-}\to {\rho }^0(\omega )\to {\pi }^{+}{\pi }^{-}$ data. We find the CP-violating asymmetry to be of the order of 20% at the $\omega$ invariant mass. Moreover, it is robust with respect to the estimable strong-phase uncertainties, permitting the extraction of $\sin \alpha$ from this channel.

Comments: 4 pages, LaTeX, aipproc.sty, talk presented at CIPANP97, Big Sky, MT