Tree-level splitting amplitudes for a gluon into four collinear partons
Vittorio Del Duca, Claude Duhr, Rayan Haindl, Achilleas Lazopoulos, Martin C. Michel
Abstract
A bstract We compute in conventional dimensional regularisation the tree-level splitting amplitudes for a gluon parent which splits into four collinear partons. This is part of the universal infrared behaviour of the QCD scattering amplitudes at next-to-next-to-next-to-leading order (N 3 LO) in the strong coupling constant. Combined with our earlier results for a quark parent, this completes the set of tree-level splitting amplitudes required at this order. We also study iterated collinear limits where a subset of the four collinear partons become themselves collinear.
Topics & Concepts
PartonPhysicsAmplitudeParticle physicsGluonQuantum chromodynamicsTree (set theory)Scattering amplitudeQuarkIterated functionOrder (exchange)Coupling constantScatteringMathematicsQuantum mechanicsCombinatoricsMathematical analysisEconomicsFinanceParticle physics theoretical and experimental studiesQuantum Chromodynamics and Particle InteractionsBlack Holes and Theoretical Physics