Resolution to the B -> pi K puzzle

Details Resolution to the B -> pi K puzzle Resolution to the B -> pi K puzzle

2005-08-03

arxiv.org/abs/hep-ph/0508041v2

Phys.Rev.D72:114005,2005

Physics

High Energy Physics

High Energy Physics - Phenomenology

26 pages, 19 figures, REVTeX4; minor corrections, references added, version to appear in Phys. Rev. D

Scientific paper

10.1103/PhysRevD.72.114005

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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