Rescattering effects in charmless anti-B_{u,d,s} to PP decays

Final-state interaction effects in charmless B_{u,d,s} to PP decays are studied. We investigate the B(bar)^0 to pi^+ pi^-, pi^0 pi^0 rates and the K pi direct CP violations, which lead to the so-called K pi puzzle in CP violation (Delta A). We found that sizable and complex color-suppressed tree amplitudes, which are crucial for the large pi^0 pi^0 rate and Delta A, are generated through exchange rescattering. The correlation of the ratio B(pi^0 pi^0)/B(pi^+ pi^-) and Delta A is studied. Predictions on B_s rates, direct and time-dependent CP asymmetries are made.