One-loop singular behaviour of QCD and SUSY QCD amplitudes with massive partons

Stefano Catani, Stefan Dittmaier, Z. Trócsányi

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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 ∈-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.

Original languageEnglish
Pages (from-to)149-160
Number of pages12
JournalPhysics Letters B
Issue number1-2
Publication statusPublished - Feb 15 2001


ASJC Scopus subject areas

  • Nuclear and High Energy Physics

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