Revisiting the double-soft asymptotics of one-loop amplitudes in massless QCD
M. Czakon, Felix Eschment, Tom Schellenberger
Abstract
A bstract 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.
Topics & Concepts
PhysicsMassless particleQuantum chromodynamicsQuarkFeynman diagramParticle physicsQuantum electrodynamicsGluonMathematical physicsParticle physics theoretical and experimental studiesBlack Holes and Theoretical PhysicsQuantum Chromodynamics and Particle Interactions