One-loop triple collinear splitting amplitudes in QCD

TL;DR

This paper derives universal one-loop triple collinear splitting amplitudes in QCD from Higgs plus four partons amplitudes, providing compact formulas and verifying their universality numerically.

Contribution

It introduces new analytic expressions for one-loop triple collinear splitting amplitudes in QCD, derived from Higgs-related processes and verified numerically.

Findings

Derived compact analytic formulas for splitting amplitudes.

Confirmed universality of collinear factorisation numerically.

Utilized super-symmetric decompositions for simplification.

Abstract

We study the factorisation properties of one-loop scattering amplitudes in the triple collinear limit and extract the universal splitting amplitudes for processes initiated by a gluon. The splitting amplitudes are derived from the analytic Higgs plus four partons amplitudes. We present compact results for primitive helicity splitting amplitudes making use of super-symmetric decompositions. The universality of the collinear factorisation is checked numerically against the full colour six parton squared matrix elements.