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 ϵ ≡ (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.
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Czakon, M., Eschment, F. & Schellenberger, T. Revisiting the double-soft asymptotics of one-loop amplitudes in massless QCD. J. High Energ. Phys. 2023, 65 (2023). https://doi.org/10.1007/JHEP04(2023)065
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DOI: https://doi.org/10.1007/JHEP04(2023)065