QCD factorization for B -> PP

Details QCD factorization for B -> PP QCD factorization for B -> PP

2001-03-20

arxiv.org/abs/hep-ph/0103211v2

Phys.Rev. D64 (2001) 014036

Physics

High Energy Physics

High Energy Physics - Phenomenology

31 pages, 3 eps figures

Scientific paper

10.1103/PhysRevD.64.014036

In this work, we give a detailed discussion for QCD factorization involved the complete chirally enhanced power corrections for B decays to two light pseudoscalar mesons, and present some detailed calculations of radiative corrections at the order of alpha_s. We point out that the infrared finiteness of the vertex corrections in the chirally enhanced power corrections requires twist-3 light-cone distribution amplitudes (LCDAs) of the light pseudoscalar symmetric. However, even in the symmetric condition, there is also logarithmic divergence from the endpoints of the twist-3 LCDAs in the hard spectator scattering. We point out that the decay amplitudes of B --> PP predicted by QCD factorization are really free of the renormalization scale dependence, at least at the order of alpha_s. At last, we briefly compare the QCD factorization with the generalized factorization and PQCD method.

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