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arxiv: hep-ph/0508041 · v2 · submitted 2005-08-03 · ✦ hep-ph

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Resolution to the B -> pi K puzzle

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classification ✦ hep-ph
keywords branchingcorrectionslargepuzzlevertexamplitudeamplitudesapproach
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We calculate the important next-to-leading-order contributions to the B -> pi K, pi pi decays from the vertex corrections, the quark loops, and the magnetic penguins in the perturbative QCD approach. It is found that the latter two reduce the leading-order penguin amplitudes by about 10%, and modify only the B -> pi K branching ratios. The main effect of the vertex corrections is to increase the small color-suppressed tree amplitude by a factor of 3, which then resolves the large difference between the direct CP asymmetries of the B^0 -> pi^\mp K^\pm and B^\pm -> pi^0 K^\pm modes. The puzzle from the large B^0 -> pi^0 pi^0 branching ratio still remains.

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  1. Precision measurement of CP violation and branching fractions in $B^{\pm} \to K^0_{\mathrm{S}} h^{\pm}$ $(h = \pi, K)$ decays and search for the rare decay $B_c^{\pm} \to K^0_{\mathrm{S}} K^{\pm}$

    hep-ex 2025-12 accept novelty 5.0

    Most precise CP asymmetry and branching ratio measurements for B± → K0S h± decays with no significant signal observed for the rare Bc decay.