Revisiting Charmless Hadronic B_{u,d} Decays in QCD Factorization

Abstract

Within the framework of QCD factorization (QCDF), we consider two different types of power correction effects in order to resolve the CP puzzles and rate deficit problems with penguin-dominated two-body decays of B mesons and color-suppressed tree-dominated ${\pi }^0{\pi }^0$ and ${\rho }^0{\pi }^0$ modes: penguin annihilation and soft corrections to the color-suppressed tree amplitude. We emphasize that the electroweak penguin solution to the $B\to K\pi$ CP puzzle via New Physics is irrelevant for solving the CP and rate puzzles related to tree-dominated decays. While some channels e.g. $K^{-}{\pi }^{+},K^{-}{\rho }^0,{\pi }^{+}{\pi }^{-},{\rho }^{\pm }{\pi }^{\mp }$ need penguin annihilation to induce the correct magnitudes and signs for their CP violation, some other decays such as $B^{-}\to K^{-}{\pi }^0,{\pi }^{-}\eta ,K^{-}\eta$ and ${\bar{B}}^0\to {\bar{K}}^{\ast 0}\eta ,{\pi }^0{\pi }^0$ require the presence of both power corrections to account for the measured CP asymmetries. In general, QCDF predictions for the branching fractions and direct CP asymmetries of $\bar{B}\to PP,VP,VV$ decays are in good agreement with experiment. The predictions of pQCD and soft-collinear effective theory are included for comparison.

Comments: 51 pages, 1 figure