English

Factorization violation in the multiparton collinear limit

High Energy Physics - Phenomenology 2012-12-03 v1 High Energy Physics - Theory

Abstract

We present an all-order generalized factorization formula for QCD scattering amplitudes in kinematical configurations where two or more momenta of the external partons become collinear. The singular behaviour of the scattering amplitudes in the collinear limit is encoded by collinear splitting matrices. In the space-like region and beyond the tree level, the collinear splitting matrices depend also on the momenta and quantum numbers of the non-collinear partons, thus breaking strict collinear factorization. Although the factorization breaking contribution partly cancels for squared amplitudes, due to its one-loop absorptive origin, remaining effects at high perturbative orders have implications on the non-abelian structure of logarithmically-enhanced terms in perturbative calculations and on various factorization issues of mass singularities.

Keywords

Cite

@article{arxiv.1211.7274,
  title  = {Factorization violation in the multiparton collinear limit},
  author = {Stefano Catani and Daniel de Florian and German Rodrigo},
  journal= {arXiv preprint arXiv:1211.7274},
  year   = {2012}
}

Comments

Presented at Loops and Legs in Quantum Field Theory - 11th DESY Workshop on Elementary Particle Physics, April 15-20, 2012, Wernigerode, Germany

R2 v1 2026-06-21T22:46:51.449Z