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

1998/10/31 by S. Catani, Stefano Catani, Massimiliano Grazzini +1 · 10 citations
Physics and Astronomy · #High-Energy Particle Collisions Research #Particle physics theoretical and experimental studies #Quantum Chromodynamics and Particle Interactions #hep-ph

paper · pdf · doi:10.1016/s0370-2693(98)01513-5

published as Phys.Lett. B446 (1999) 143-152 · latex, 10 pages, minor corrections in the references

arxiv created 1998/12/01 · openalex publication_date 1999/01/01 · arxiv updated 2009/11/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/01

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(\as²). In the case of spin-averaged splitting functions we confirm similar results obtained by Campbell and Glover.

Citations

• Asymptotic freedom in parton language
• Singular terms of helicity amplitudes at one-loop in QCD and the soft limit of the cross sections of multi-parton processes

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