Taming the end-point singularities in heavy-to-light decays

Details Taming the end-point singularities in heavy-to-light decays Taming the end-point singularities in heavy-to-light decays

2006-12-07

arxiv.org/abs/hep-ph/0612083v2

Phys.Rev.D75:031501,2007

Physics

High Energy Physics

High Energy Physics - Phenomenology

7 pages, 1 figure. Typos corrected; to appear in Phys. Rev. D (Rap. Comm.)

Scientific paper

10.1103/PhysRevD.75.031501

It is argued that there is a fundamental momentum cutoff in heavy-to-light transitions, which is caused by possible Cherenkov gluon radiation when an energetic light parton travels through the ''brown muck''. The soft-overlap contributions where the partonic momenta configuration is highly asymmetric are disfavored, and the problematic end-point singularities and the double countings are absent in this framework. A simple calculation with a natural scale for the cutoff gives a plausible result for the $B\to\pi$ form factor.

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