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We consider the infrared sensitivity of the inclusive heavy quark decay widthin perturbation theory. It is shown by explicit calculations to the second looporder (when the non-abelian nature of the QCD interactions first becomeapparent) that all infrared sensitive terms to logarithmic and linear accuracycancel when the decay width is expressed in terms of the short distance mass.This in turn implies the absense of any non perturbative $1/m_Q$ powercorrections to the decay width. The cancellation is shown algebraically at thelevel of the Feynman integrands without any use of an explicit infrared cutoff.This result is in accord with the implications of the KLN theorem.Comment: 33 pages including figures, revtex with axodraw. Submitted to Phys.  Rev.

physical review. d. particles, fields, gravitation, and cosmology/physical review. d. particles and fields

Cancellation of<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:msub><mml:mrow><mml:mn>1</mml:mn><mml:mo>/</mml:mo><mml:mi>m</mml:mi></mml:mrow><mml:mrow><mml:mi>Q</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:math>corrections to the inclusive decay width of a heavy quark

Cancellation of1/mQcorrections to the inclusive decay width of a heavy quark