Infrared Divergence and Twist-3 Distribution Amplitudes in QCD Factorization For $B \to PP$

Details Infrared Divergence and Twist-3 Distribution Amplitudes in QCD Factorization For $B \to PP$ Infrared Divergence and Twist-3 Distribution Amplitudes in QCD Factorization For $B \to PP$

2001-02-07

arxiv.org/abs/hep-ph/0102077v3

Phys.Lett. B509 (2001) 263-272

Physics

High Energy Physics

High Energy Physics - Phenomenology

12 pages, 3 figures, A revised version to appear in Phys. Lett. B

Scientific paper

10.1016/S0370-2693(01)00398-7

Since b quark mass is not asymptotically large, chirally enhanced corrections which arise from twist-3 wave functions may be important in B decays. We thus evaluate the hadronic matrix elements with the final light pseudoscalar mesons described by leading twist and twist-3 distribution amplitudes. We find that chirally enhanced corrections can be included consistently in the framework of QCD factorization only if the twist-3 distribution amplitudes are symmetric. We then give explicit expressions of $a_i^p$ for $B \to \pi\pi$ at the next-to-leading order of $\alpha_s$ including chirally enhanced corrections. We also briefly discuss the divergence appeared in the hard spectator contributions.

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