English

QCD splitting functions beyond kinematical limits

High Energy Physics - Phenomenology 2026-02-06 v2

Abstract

We present a systematic decomposition of QCD splitting functions into scalar dipole radiators and pure splitting remainders up to second order in the strong coupling. The individual components contain terms that are formally sub-leading in soft or collinear scaling parameters, but well understood and universal due to their origin in scalar QCD. The multipole radiator functions which we derive share essential features of the known double-soft and one-loop soft gluon currents, and are not based on kinematical approximations.

Keywords

Cite

@article{arxiv.2505.10408,
  title  = {QCD splitting functions beyond kinematical limits},
  author = {John M. Campbell and Stefan Höche and Max Knobbe and Christian T. Preuss and Daniel Reichelt},
  journal= {arXiv preprint arXiv:2505.10408},
  year   = {2026}
}

Comments

40 pages, 14 figures, 2 tables

R2 v1 2026-06-28T23:34:39.673Z