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QCD splitting functions beyond kinematical limits

John M. Campbell1, Stefan Höche1, Max Knobbe1, Christian T. Preuss2, and Daniel Reichelt3

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Phys. Rev. D 113, 054031 – Published 20 March, 2026

DOI: https://doi.org/10.1103/f5c5-hsdd

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 subleading 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.

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Phys. Rev. D 113, 054031– Published 20 March, 2026
  • Received 21 May 2025
  • Accepted 29 January 2026
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