Exact one-gluon corrections for inclusive weak processes

First-order gluon radiative corrections to the rate of weak decay of a quark into three quarks are calculated taking full account of all the masses involved. Using dimensional regularization techniques, the infrared divergences inherent to the problem cancel out, and the finite parts in convenient a...

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Bibliographic Details
Published in:Annals of physics 1984-01, Vol.155 (1), p.202-227
Main Authors: Hokim, Q, Pham, Xuan-Yem
Format: Article
Language:English
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Summary:First-order gluon radiative corrections to the rate of weak decay of a quark into three quarks are calculated taking full account of all the masses involved. Using dimensional regularization techniques, the infrared divergences inherent to the problem cancel out, and the finite parts in convenient analytic forms which tend to the correct zero-mass limits are obtained. The total correction to the decay rate always exceeds its (negative) zero-mass limit and changes sign as the masses increase. Thus, except for small mass values, it is positive and acts in a direction opposite to that expected when the masses vanish.
ISSN:0003-4916
1096-035X
DOI:10.1016/0003-4916(84)90258-6