Bloch-Nordsieck cancellations beyond logarithms in heavy particle decays

Details Bloch-Nordsieck cancellations beyond logarithms in heavy particle decays Bloch-Nordsieck cancellations beyond logarithms in heavy particle decays

1994-05-16

arxiv.org/abs/hep-ph/9405304v1

Phys.Rev.Lett. 73 (1994) 3058-3061

Physics

High Energy Physics

High Energy Physics - Phenomenology

LATEX, 7 pages, one figure appended as uu-encoded ps-file, MPI-PhT/94-18

Scientific paper

10.1103/PhysRevLett.73.3058

We investigate the one-loop radiative corrections to the semileptonic decay of a charged particle at finite gauge boson mass. Extending the Bloch-Nordsieck cancellation of infrared logarithms, the subsequent non-analytic terms are also found to vanish after eliminating the pole mass in favor of a mass defined at short distances. This observation justifies the operator product expansion for inclusive decays of heavy mesons and implies that infrared effects associated with the summation of the radiative corrections are suppressed by at least three powers of the mass of the heavy decaying particle.

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