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Two-loop amplitudes for $$ \mathcal{O}\left({\alpha}_s^2\right) $$ corrections to Wγγ production at the LHC

Simon Badger, Heribertus Bayu Hartanto, Zihao Wu, Yang Zhang, Simone Zoia

2024Journal of High Energy Physics18 citationsDOIOpen Access PDF

Abstract

A bstract We present the two-loop helicity amplitudes contributing to the next-to-next-to-leading order QCD predictions for W -boson production in association with two photons at the Large Hadron Collider. We derived compact analytic expressions for the two-loop amplitudes in the leading colour limit, and provide numerical results for the subleading colour contributions. We employ a compact system of integration-by-part identities provided by the N eat IBP package, allowing for an efficient computation of the rational coefficients of the scattering amplitudes over finite fields.

Topics & Concepts

PhysicsLarge Hadron ColliderHelicityQuantum chromodynamicsParticle physicsAmplitudeScattering amplitudeLoop (graph theory)Production (economics)BosonHadronLimit (mathematics)ComputationMathematical physicsQuantum electrodynamicsQuantum mechanicsCombinatoricsMathematical analysisAlgorithmMacroeconomicsComputer scienceMathematicsEconomicsParticle physics theoretical and experimental studiesHigh-Energy Particle Collisions ResearchQuantum Chromodynamics and Particle Interactions