Three-loop four-particle QCD amplitudes
Piotr Bargiela
TL;DR
This paper reports the calculation of three-loop four-particle helicity amplitudes in massless QCD, specifically for the gluon-gluon to photon-photon process, providing compact analytic formulas for improved collider predictions.
Contribution
It introduces new compact analytic expressions for three-loop four-particle QCD amplitudes using harmonic polylogarithms, enhancing computational efficiency.
Findings
Analytic formulas expressed in harmonic polylogarithms
Efficient numerical evaluation of the amplitudes
Potential applications in Higgs physics predictions
Abstract
We present recent advancements in the computation of three-loop four-particle helicity amplitudes in full-color massless QCD. In this contribution, we focus on the process. We show how to obtain compact analytic formulae for the three-loop scattering amplitude. Our results can be expressed in terms of harmonic polylogarithms, which allows for an efficient numerical evaluation. The results presented here can be used for improving theoretical predictions relevant for Higgs physics at hadron colliders.
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Taxonomy
TopicsParticle physics theoretical and experimental studies · Quantum Chromodynamics and Particle Interactions · High-Energy Particle Collisions Research