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Article
Report number hep-ph/0312067 ; CERN-TH-2003-206
Title The triple collinear limit of one-loop QCD amplitudes
Author(s) Catani, S ; de Florian, D ; Rodrigo, Germán
Affiliation (CERN)
Publication 2004
Imprint 4 Dec 2003
Number of pages 11
In: Phys. Lett. B 586 (2004) 323-331
DOI 10.1016/j.physletb.2004.02.039
Subject category Particle Physics - Phenomenology
Abstract We consider the singular behaviour of one-loop QCD matrix elements when several external partons become simultaneously parallel. We present a new factorization formula that describes the singular collinear behaviour directly in colour space. The collinear singularities are embodied in process-independent splitting matrices that depend on the momenta, flavours, spins and colours of the collinear partons. We give the general structure of the infrared and ultraviolet divergences of the one-loop splitting matrices. We also present explicit one-loop results for the triple collinear splitting, $q \to q {\bar Q} Q$, of a quark and a quark--antiquark pair of different flavours. The one-loop triple collinear splitting is one of the ingredients that can be used to compute the evolution of parton distributions at the next-to-next-to-leading order in QCD perturbation theory.

Corresponding record in: Inspire
Email contact: german.rodrigo@cern.ch


 Record created 2003-12-06, last modified 2018-09-24


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