Resolution to the B ---> pi K puzzle

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.

12.38.Bx
11.10.Hi
13.25.Hw
B: hadronic decay
pseudoscalar meson: pair production
quantum chromodynamics
perturbation theory: higher-order
amplitude analysis
Feynman graph: penguin
B: branching ratio

References(82)

Figures(0)

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Makoto Kobayashi
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Toshihide Maskawa
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