The B → ππ, πK puzzles in the light of new data: Implications for the Standard Model new physics and rare decays

Recently, we developed a strategy to analyze the B → ππ, πK data. We found that the B →ππ measurements can be accommodated in the Standard Model (SM) through large non-factorizable effects. On the other hand, our analysis of the ratios R_c and R_n of the CP-averaged branching ratios of the charged and neutral B → πK modes, respectively, suggested new physics (NP) in the electroweak penguin sector, which may have a powerful interplay with rare decays. In this paper, we confront our strategy with recent experimental developments, addressing also the direct CP violation in B_d → π^∓K^±, which is now an established effect, the relation to its counterpart in B ^± → π⁰K^±, and the first results for the direct CP asymmetry of B_d → π⁰π ⁰ that turn out to be in agreement with our prediction. We obtain hadronic B → ππ, πK parameters which are almost unchanged and arrive at an allowed region for the unitarity triangle in perfect accordance with the SM. The "B → πK puzzle" persists, and can still be explained through NP, as in our previous analysis. In fact, the recently observed shifts in the experimental values of R_c and R_n have been predicted in our framework on the basis of constraints from rare decays. Conversely, we obtain a moderate deviation of the ratio R of the CP-averaged B_d → π^∓K^± and B^± → π^±K rates from the current experimental value. However, using the emerging signals for B^± → K^±K modes, this effect can be attributed to certain hadronic effects, which have a minor impact on R_c and do not at all affect R_n. Our results for rare decays remain unchanged.