Bloch-Nordsieck Cancellations beyond Logarithms in Heavy Particle Decays

M. Beneke; V. M. Braun; V. I. Zakharov

doi:10.1103/PhysRevLett.73.3058

Bloch-Nordsieck Cancellations beyond Logarithms in Heavy Particle Decays

M. Beneke, V. M. Braun, and V. I. Zakharov

Phys. Rev. Lett. 73, 3058 – Published 5 December 1994

Abstract

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 two subsequent nonanalytic terms are also found to vanish after eliminating the pole mass of the decaying particle in favor of a mass defined at short distances. This observation justifies the operator product expansion for inclusive decays of heavy charged particles and implies that infrared effects are suppressed by at least three powers of the heavy mass.

Received 16 May 1994

DOI:https://doi.org/10.1103/PhysRevLett.73.3058

Authors & Affiliations

M. Beneke¹, V. M. Braun^2,*, and V. I. Zakharov^1,†

¹Randall Laboratory of Physics, University of Michigan, Ann Arbor, Michigan 48109
²Max-Planck-Institut für Physik, Werner-Heisenberg-Institut, Föhringer Ring 6, D-80805 Munich, Federal Republic of Germany

^*On leave of absence from St. Petersburg Nuclear Physics Institute, 188350 Gatchina, Russia.
^†On leave of absence from Max-Planck-Institut für Physik, Föhringer Ring 6, 80805 Munich.