Revisiting the double-soft asymptotics of one-loop amplitudes in massless QCD

Abstract

We evaluate the one-loop soft current for the emission of two soft gluons or a soft quark-anti-quark pair in massless Quantum Chromodynamics. The results are exact in dimensional regularisation up to a single Feynman integral. Two terms of the Taylor series of the latter integral as a function of $\epsilon \equiv (4-d)/2$ with $d$ the dimension of spacetime are available from a recent calculation of one-loop triple-collinear splitting functions. Our formulae are necessary for the construction of a subtraction scheme for the evaluation of next-to-next-to-next-to-leading order cross sections in massless QCD.

27 pages, 14 figures

References in corpus (8)

• Recola2: REcursive Computation of One-Loop Amplitudes 2
• Hard-Soft-Collinear Factorization to All Orders
• Two-loop splitting amplitudes and the single-real contribution to inclusive Higgs production at N3LO
• Triple collinear splitting functions at NLO for scattering processes with photons
• Multiple soft radiation at one-loop order and the emission of a soft quark-antiquark pair
• Tree-level soft emission of a quark pair in association with a gluon
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• One-loop corrections to the double-real emission contribution to the zero-jettiness soft function at N3LO in QCD
• Measurements of Lund subjet multiplicities in 13 TeV proton-proton collisions with the ATLAS detector
• Catani's generalization of collinear factorization breaking
• Non-abelian soft radiation data for a celestial theory