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Next-to-leading order QCD corrections to diphoton-plus-jet production through gluon fusion at the LHC

Simon Badger, Thomas Gehrmann, Matteo Marcoli, Ryan Moodie

TL;DR

The paper addresses precise QCD predictions for diphoton-plus-jet production via gluon fusion, a loop-induced process that first enters at NNLO. It computes NLO QCD corrections by combining two-loop virtual amplitudes with real radiation using antenna subtraction within the NNLOjet framework, validating the six-point/5-point amplitude pieces with modern methods (pentagon functions, NJet/OpenLoops). The main finding is that NLO corrections are large and significantly reduce, but do not eliminate, scale uncertainties, especially at low diphoton pT and mγγ, underscoring the need to include these gluon-fusion contributions alongside quark-induced NNLO results for accurate LHC predictions. The work provides fully differential predictions and demonstrates the viability of complex loop-induced processes at high multiplicity, setting the stage for precision Higgs-background studies and future higher-order refinements.

Abstract

We compute the next-to-leading order (NLO) QCD corrections to the gluon-fusion subprocess of diphoton-plus-jet production at the LHC. We compute fully differential distributions by combining two-loop virtual corrections with one-loop real radiation using antenna subtraction to cancel infrared divergences. We observe significant corrections at NLO which demonstrate the importance of combining these corrections with the quark-induced diphoton-plus-jet channel at next-to-next-to-leading order (NNLO).

Next-to-leading order QCD corrections to diphoton-plus-jet production through gluon fusion at the LHC

TL;DR

The paper addresses precise QCD predictions for diphoton-plus-jet production via gluon fusion, a loop-induced process that first enters at NNLO. It computes NLO QCD corrections by combining two-loop virtual amplitudes with real radiation using antenna subtraction within the NNLOjet framework, validating the six-point/5-point amplitude pieces with modern methods (pentagon functions, NJet/OpenLoops). The main finding is that NLO corrections are large and significantly reduce, but do not eliminate, scale uncertainties, especially at low diphoton pT and mγγ, underscoring the need to include these gluon-fusion contributions alongside quark-induced NNLO results for accurate LHC predictions. The work provides fully differential predictions and demonstrates the viability of complex loop-induced processes at high multiplicity, setting the stage for precision Higgs-background studies and future higher-order refinements.

Abstract

We compute the next-to-leading order (NLO) QCD corrections to the gluon-fusion subprocess of diphoton-plus-jet production at the LHC. We compute fully differential distributions by combining two-loop virtual corrections with one-loop real radiation using antenna subtraction to cancel infrared divergences. We observe significant corrections at NLO which demonstrate the importance of combining these corrections with the quark-induced diphoton-plus-jet channel at next-to-next-to-leading order (NNLO).

Paper Structure

This paper contains 4 sections, 3 equations, 3 figures.

Table of Contents

  1. Introduction
  2. Computational setup
  3. Results
  4. Conclusions

Figures (3)

  • Figure 1: Differential distributions in the transverse momentum $p_T(\gamma\gamma)$ (left) and invariant mass $m(\gamma\gamma)$ (right) of the diphoton system.
  • Figure 3: Differential distributions in the diphoton rapidity difference $\Delta y(\gamma\gamma)$ (left) and the diphoton total rapidity $|y(\gamma\gamma)|$ (right).
  • Figure 4: Two-dimensional differential distributions in the diphoton invariant mass $m(\gamma\gamma)$ and Collins-Soper angle $\left|\phi_{CS}(\gamma\gamma)\right|$ (left) and in the diphoton rapidity $|y(\gamma\gamma)|$ and transverse momentum $p_T(\gamma\gamma)$ (right).