Collinear factorization and splitting functions for next-to-next-to-leading order QCD calculations

Catani, Stefano; Grazzini, Massimiliano

doi:10.1016/S0370-2693(98)01513-5

Collinear factorization and splitting functions for next-to-next-to-leading order QCD calculations

Stefano Catani
(
- CERN
)
,
Massimiliano Grazzini
(
- CERN and
- Zurich, ETH
)

Oct, 1998

10 pages

Published in:

Phys.Lett.B 446 (1999) 143-152

e-Print:

hep-ph/9810389 [hep-ph]

DOI:

10.1016/S0370-2693(98)01513-5

Report number:

CERN-TH-98-325,
ETH-TH-98-27

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Abstract:

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.

Note:

latex, 10 pages, minor corrections in the references Report-no: CERN--TH/98-325, ETH--TH/98-27

quantum chromodynamics
tree approximation
perturbation theory: higher-order
model: parton
scattering amplitude: analytic properties
factorization
infrared problem
spin: correlation

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