Weak coupling phase from decays of chargedBmesons to πKand ππ

Abstract

The theory of CP violation based on phases in weak couplings in the Cabibbo-Kobayashi-Maskawa matrix requires the phase γ≡Arg${\mathit{V}}_{\mathit{u}\mathit{b}}^{\mathrm{*}}$ (in a standard convention) to be nonzero. A measurement of γ is proposed based on charged B meson decay rates to ${\mathrm{\pi }}^{+}$ ${\mathit{K}}^0$, ${\mathrm{\pi }}^0$ ${\mathit{K}}^{+}$, ${\mathrm{\pi }}^{+}$ ${\mathrm{\pi }}^0$, and the charge-conjugate states. The corresponding branching ratios are expected to be of the order of ${10}^{\mathrm{-}5}$.