Two-loop QCD Correction to Massive Spin-2 Resonance $ \to q ~ \bar{q} ~ g $

TL;DR

This paper computes the two-loop QCD corrections for a massive spin-2 resonance decaying into a quark, antiquark, and gluon, confirming the universal infrared structure and completing the theoretical understanding of such processes.

Contribution

It provides the first complete two-loop QCD correction calculation for a massive spin-2 particle decaying into a quark-antiquark-gluon final state, considering generic couplings.

Findings

Infrared pole structure matches Catani's universal predictions.

Confirms the factorization property of QCD amplitudes with spin-2 couplings.

Completes the theoretical calculation for spin-2 production with a jet at two loops.

Abstract

Two-loop QCD correction to massive spin-2 Graviton decaying to $q ~ + ~ \bar{q}~ + ~g$ is presented considering a generic universal spin-2 coupling to the SM through the conserved energy-momentum tensor. Such a massive spin-2 particle can arise in extra-dimensional models. The ultraviolet and infrared structure of the QCD amplitudes are studied. In dimensional regularisation, the infrared pole structure is in agreement with Catani's proposal, confirming the universal factorization property of QCD amplitudes, even with the spin-2 tensorial coupling. This computation now completes the full two-loop QCD corrections for the production of a spin-2 in association with a jet.