Resolution to the B -> pi K puzzle
Abstract
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.
Keywords
Cite
@article{arxiv.hep-ph/0508041,
title = {Resolution to the B -> pi K puzzle},
author = {Hsiang-nan Li and Satoshi Mishima and A. I. Sanda},
journal= {arXiv preprint arXiv:hep-ph/0508041},
year = {2008}
}
Comments
26 pages, 19 figures, REVTeX4; minor corrections, references added, version to appear in Phys. Rev. D