One-loop Singular Behaviour of QCD and SUSY QCD Amplitudes with Massive Partons

Details One-loop Singular Behaviour of QCD and SUSY QCD Amplitudes with Massive Partons One-loop Singular Behaviour of QCD and SUSY QCD Amplitudes with Massive Partons

2000-11-17

arxiv.org/abs/hep-ph/0011222v3

Phys.Lett. B500 (2001) 149-160

Physics

High Energy Physics

High Energy Physics - Phenomenology

15 pages, 1 Latex file

Scientific paper

10.1016/S0370-2693(01)00065-X

We discuss the structure of infrared and ultraviolet singularities in on-shell QCD and supersymmetric QCD amplitudes at one-loop order. Previous results, valid for massless partons, are extended to the case of massive partons. Using dimensional regularization, we present a general factorization formula that controls both the singular epsilon-poles and the logarithmic contributions that become singular for vanishing masses. We introduce generalized Altarelli--Parisi splitting functions and discuss their relations with the singular terms in the amplitudes. The dependence on the regularization scheme is also considered.

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