Cancellation of $1/m_Q$ Corrections to the Inclusive Decay Width of a Heavy Quark

Details Cancellation of $1/m_Q$ Corrections to the Inclusive Decay Width of a Heavy Quark Cancellation of $1/m_Q$ Corrections to the Inclusive Decay Width of a Heavy Quark

1998-04-26

arxiv.org/abs/hep-ph/9804401v1

Phys.Rev. D58 (1998) 114025

Physics

High Energy Physics

High Energy Physics - Phenomenology

33 pages including figures, revtex with axodraw. Submitted to Phys. Rev. D

Scientific paper

10.1103/PhysRevD.58.114025

We consider the infrared sensitivity of the inclusive heavy quark decay width in perturbation theory. It is shown by explicit calculations to the second loop order (when the non-abelian nature of the QCD interactions first become apparent) that all infrared sensitive terms to logarithmic and linear accuracy cancel when the decay width is expressed in terms of the short distance mass. This in turn implies the absense of any non perturbative $1/m_Q$ power corrections to the decay width. The cancellation is shown algebraically at the level of the Feynman integrands without any use of an explicit infrared cutoff. This result is in accord with the implications of the KLN theorem.

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