Direct CP violation of B meson via rho-omega interference

Abstract

We investigate $B^{\pm ,0}\to {\rho }^0(\omega )h^{\pm ,0}$, where ${\rho }^0(\omega )$ decays to ${\pi }^{+}{\pi }^{-}$ and $h$ is any hadronic final states, such as $\pi$ or $K$. We find large direct $CP$ asymmetries via $\rho -\omega$ interference. A possible determination of the weak phases, such as ${\varphi }_2=\arg ((V_{ud}{V}_{ub}^{\ast })/(V_{td}{V}_{tb}^{\ast }))$ and ${\varphi }_3=\arg ((V_{us}{V}_{ub}^{\ast })/(V_{ts}{V}_{tb}^{\ast }))$, is also discussed. We show the feasibility to detect the CP asymmetries in these channels by assuming an asymmetric $e^{+}{e}^{-}$ collider experiment. $10^9$ $B\bar{B}$ events are required for the detection of this effect.

Comments: 18 pages, latex (revtex), two figures, two citations changed, available at http://bsun01.kek.jp/~enomoto/rhoomega.ps