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 π0π0 and ρ0π0 modes: penguin
annihilation and soft corrections to the color-suppressed tree amplitude. We
emphasize that the electroweak penguin solution to the B→Kπ 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−π+,K−ρ0,π+π−,ρ±π∓ need penguin annihilation to
induce the correct magnitudes and signs for their CP violation, some other
decays such as B−→K−π0,π−η,K−η and Bˉ0→Kˉ∗0η,π0π0 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 Bˉ→PP,VP,VV decays
are in good agreement with experiment. The predictions of pQCD and
soft-collinear effective theory are included for comparison.Comment: 51 pages, 1 figur