Color dressed unitarity and recursion for Yang-Mills two-loop all-plus amplitudes
David C. Dunbar, John H. Godwin, Warren B. Perkins, Joseph M. W. Strong
Abstract
We present a direct computation of the full color two-loop five-point all-plus Yang-Mills amplitude using four dimensional unitarity and recursion. We present the $SU({N}_{c})$ amplitudes in compact analytic forms. Our results match the explicit expressions previously computed but do not require full two-loop integral methods.
Topics & Concepts
UnitarityRecursion (computer science)Loop (graph theory)AmplitudeComputationMathematical physicsYang–Mills existence and mass gapMathematicsPhysicsScattering amplitudeQuantum electrodynamicsCombinatoricsParticle physicsGauge theoryQuantum mechanicsAlgorithmBlack Holes and Theoretical PhysicsParticle physics theoretical and experimental studiesQuantum Chromodynamics and Particle Interactions