Collinear Factorization and Splitting Functions for Next-to-next-to-leading Order QCD Calculations

Details Collinear Factorization and Splitting Functions for Next-to-next-to-leading Order QCD Calculations Collinear Factorization and Splitting Functions for Next-to-next-to-leading Order QCD Calculations

1998-10-16

arxiv.org/abs/hep-ph/9810389v2

Phys.Lett. B446 (1999) 143-152

Physics

High Energy Physics

High Energy Physics - Phenomenology

latex, 10 pages, minor corrections in the references

Scientific paper

10.1016/S0370-2693(98)01513-5

We consider the singular behaviour of tree-level QCD amplitudes when the momenta of three partons become simultaneously parallel. We discuss the universal factorization formula that controls the singularities of the multiparton matrix elements in this collinear limit and present the explicit expressions of the corresponding splitting functions. The results fully include spin (azimuthal) correlations up to ${\cal O}(\as^2)$. In the case of spin-averaged splitting functions we confirm similar results obtained by Campbell and Glover.

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