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Two-loop helicity amplitudes for diphoton production with massive quark loop

Taushif Ahmed, Amlan Chakraborty, Ekta Chaubey, Mandeep Kaur

2025Journal of High Energy Physics5 citationsDOIOpen Access PDF

Abstract

A bstract We compute two-loop helicity amplitudes in QCD for diphoton production through quark- and gluon-initiated channels, accounting for a massive internal quark loop by keeping its full mass dependence. Using physical projectors, we directly decompose the amplitude into its helicity components. By renormalising the heavy quark mass in on-shell, and other quantities in $$\overline{\text{MS} }$$ schemes, we obtain finite remainders. We provide benchmark values of the helicity amplitudes, expressed in terms of a canonical basis for all the non-elliptic integrals. We also present our findings through plots. The effect of a heavy quark is expected to play a crucial role in high-luminosity LHC.

Topics & Concepts

PhysicsHelicityParticle physicsQuarkAmplitudeQuantum chromodynamicsLoop (graph theory)Top quarkProduction (economics)Quantum electrodynamicsBenchmark (surveying)Nuclear physicsBottom quarkQuark modelBasis (linear algebra)FermionParticle physics theoretical and experimental studiesQuantum Chromodynamics and Particle InteractionsHigh-Energy Particle Collisions Research