Revisiting the Kπ puzzle in the pQCD factorization approach

In this paper, we calculated the branching ratios and direct $CP violation of the four $B→Kπ decays with the inclusion of all currently known next-to-leading order (NLO) contributions by employing the perturbative QCD (pQCD) factorization approach. We found that (a) Besides the 10/% enhancement from the NLO vertex corrections, the quark-loops and magnetic penguins, the NLO contributions to the form factors can provide an additional $∼15% enhancement to the branching ratios, and lead to a very good agreement with the data; (b) The NLO pQCD predictions are $A_CP^dir(B⁰→K⁺π⁻)=(−6.5±3.1)% and $A_CP^dir(B⁺→K⁺π⁰)=(2.2±2.0)%, become well consistent with the data due to the inclusion of the NLO contributions