6533b7cffe1ef96bd1259a29

RESEARCH PRODUCT

Analytic Form of the Two-Loop Planar Five-Gluon All-Plus-Helicity Amplitude in QCD

Johannes M. HennThomas GehrmannN. A. Lo Presti

subject

High Energy Physics - Theory530 PhysicsFOS: Physical sciencesGeneral Physics and Astronomy10192 Physics Institute01 natural scienceslaw.inventionHigh Energy Physics - Phenomenology (hep-ph)law0103 physical sciences010306 general physicsColliderMathematical physicsPhysicsQuantum chromodynamics010308 nuclear & particles physicsHelicity3100 General Physics and AstronomyGluonScattering amplitudeLoop (topology)Massless particleHigh Energy Physics - PhenomenologyAmplitudeHigh Energy Physics - Theory (hep-th)Quantum electrodynamics

description

Virtual two-loop corrections to scattering amplitudes are a key ingredient to precision physics at collider experiments. We compute the full set of planar master integrals relevant to five-point functions in massless QCD, and use these to derive an analytical expression for the two-loop five-gluon all-plus-helicity amplitude. After subtracting terms that are related to the universal infrared and ultraviolet pole structure, we obtain a remarkably simple and compact finite remainder function, consisting only of dilogarithms.

https://doi.org/10.1103/physrevlett.116.062001