ResolvingB−CPpuzzles in QCD factorization

Abstract

Within the framework of QCD factorization (QCDF), power corrections due to penguin annihilation can account for the observed rates of penguin-dominated two-body decays of $B$ mesons and direct $CP$ asymmetries ${A}_{CP}({K}^{\ensuremath{-}}{\ensuremath{\pi}}^{+})$, ${A}_{CP}({K}^{*\ensuremath{-}}{\ensuremath{\pi}}^{+})$, ${A}_{CP}({K}^{\ensuremath{-}}{\ensuremath{\rho}}^{0})$ and ${A}_{CP}({\ensuremath{\pi}}^{+}{\ensuremath{\pi}}^{\ensuremath{-}})$. However, the predicted direct $CP$-violating effects in QCDF for ${B}^{\ensuremath{-}}\ensuremath{\rightarrow}{K}^{\ensuremath{-}}{\ensuremath{\pi}}^{0}$, ${K}^{\ensuremath{-}}\ensuremath{\eta}$, ${\ensuremath{\pi}}^{\ensuremath{-}}\ensuremath{\eta}$ and ${\overline{B}}^{0}\ensuremath{\rightarrow}{\ensuremath{\pi}}^{0}{\ensuremath{\pi}}^{0}$ are wrong in signs when confronted with experiment. We show that subleading $1/{m}_{b}$ power corrections to the color-suppressed tree amplitude due to spectator scattering or final-state interactions will yield correct signs for aforementioned $CP$ asymmetries and accommodate the observed ${\ensuremath{\pi}}^{0}{\ensuremath{\pi}}^{0}$ and ${\ensuremath{\rho}}^{0}{\ensuremath{\pi}}^{0}$ rates simultaneously. Implications are discussed.