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arXiv · hep-ph/0102077

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

Dongsheng Du·Deshan Yang·Guohuai Zhu
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Abstract

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 $B \to ππ$ at the next-to-leading order of $α_s$ including chirally enhanced corrections. We also briefly discuss the divergence appeared in the hard spectator contributions.

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Dongsheng Du, Deshan Yang, Guohuai Zhu. 2001-03-25. Infrared Divergence and Twist-3 Distribution Amplitudes in QCD Factorization For $B \to PP$. https://doi.org/10.1016/s0370-2693(01)00398-7

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