Tree-level splitting amplitudes for a gluon into four collinear partons
High Energy Physics - Phenomenology
2020-10-28 v1
Abstract
We compute in conventional dimensional regularisation the tree-level splitting amplitudes for a gluon parent which splits into four collinear partons. This is part of the universal infrared behaviour of the QCD scattering amplitudes at next- to-next-to-next-to-leading order (NLO) in the strong coupling constant. Combined with our earlier results for a quark parent, this completes the set of tree-level splitting amplitudes required at this order. We also study iterated collinear limits where a subset of the four collinear partons become themselves collinear.
Cite
@article{arxiv.2007.05345,
title = {Tree-level splitting amplitudes for a gluon into four collinear partons},
author = {Vittorio Del Duca and Claude Duhr and Rayan Haindl and Achilleas Lazopoulos and Martin Michel},
journal= {arXiv preprint arXiv:2007.05345},
year = {2020}
}
Comments
31 pages, 3 figures. arXiv admin note: substantial text overlap with arXiv:1912.06425