Revisiting $K\pi$ puzzle in the pQCD factorization approach

Abstract

In this paper, we calculated the branching ratios and direct CP violation of the four $B\to K\pi$ 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 $\sim 15$ enhancement to the branching ratios, and lead to a very good agreement with the data; (b) The NLO pQCD predictions are $\acp^{dir}(B^0\to K^+π^-)=(-6.5\pm 3.1)%$ and $\acp^{dir}(B^+\to K^+ π^0)=(2.2\pm 2.0)%$, become well consistent with the data due to the inclusion of the NLO contributions.

11 pages, 2 pdf figures. to be published in Chinese Physics C; several typos removed

References in corpus (3)

• Charmless non-leptonic B_s decays to PP, PV and VV final states in the pQCD approach
• Branching ratios and CP asymmetries of $B\to K{\eta }^{(\prime )}$ decays in the pQCD approach
• Hadronic B decays

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• Resolving the $B\to K\pi$ puzzle by Glauber-gluon effects
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• Anatomy of $B_s\to PV$ decays and effects of next-to-leading order contributions in the perturbative QCD factorization approach
• The PQCD approach towards to next-to-leading order: a short review
• Pion and Kaon form factors in the perturbative QCD approach
• Perturbative QCD Analysis of Exclusive Processes $e^{+}{e}^{-}\to VP$ and $e^{+}{e}^{-}\to TP$
• ${\bar{B}}_s^0\to ({\pi }^0{\eta }^{(\ast )},{\eta }^{(\ast )}{\eta }^{(\ast )})$ decays and the effects of next-to-leading order contributions in the perturbative QCD approach
• Branching ratio and $CP$ violation of $B\to K\pi$ decays in a modified perturbative QCD approach
• Study of $B\to PP$ decays in the modified perturbative QCD approach
• Study of $B\to \rho \eta$, $\rho {\eta }^{\prime }$ decays in the modified perturbative QCD approach
• Phenomenological analysis of charmless $B\to PV$ decays in the modified perturbative QCD approach