Three-loop helicity amplitudes for diphoton production in gluon fusion

Abstract

We present a calculation of the helicity amplitudes for the process $gg\to \gamma \gamma$ in three-loop massless QCD. We employ a recently proposed method to calculate scattering amplitudes in the 't Hooft-Veltman scheme that reduces the amount of spurious non-physical information needed at intermediate stages of the computation. Our analytic results for the three-loop helicity amplitudes are remarkably compact, and can be efficiently evaluated numerically. This calculation provides the last missing building block for the computation of NNLO QCD corrections to diphoton production in gluon fusion.

5 figures, 1 table, ancillary files with analytical results

References in corpus (9)

• Vector boson pair production at the LHC
• Scattering amplitudes over finite fields and multivariate functional reconstruction
• FiniteFlow: multivariate functional reconstruction using finite fields and dataflow graphs
• NNLO QCD corrections to three-photon production at the LHC
• Measurement of differential cross sections for the production of a pair of isolated photons in pp collisions at sqrt(s) = 7 TeV
• Quark and gluon form factors to four loop order in QCD: the $N_f^3$ contributions
• Di-photon amplitudes in three-loop Quantum Chromodynamics
• Next-to-leading order QCD corrections to diphoton-plus-jet production through gluon fusion at the LHC
• Interference effects in the $H(\to \gamma \gamma )+2$ jets channel at the LHC

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• Planar three-loop master integrals for $2\to 2$ processes with one external massive particle
• Tree-level soft emission of a quark pair in association with a gluon
• The SAGEX Review on Scattering Amplitudes, Chapter 4: Multi-loop Feynman Integrals
• Dissecting polytopes: Landau singularities and asymptotic expansions in $2\to 2$ scattering
• Computational challenges for multi-loop collider phenomenology
• Signal-background interference effects in Higgs-mediated diphoton production beyond NLO
• Three-loop helicity amplitudes for photon+jet production
• Les Houches 2023 -- Physics at TeV Colliders: Report on the Standard Model Precision Wishlist
• Master Integrals for Electroweak corrections to $gg\to \gamma \gamma$ -- Light quark contributions
• Integrated Unitarity for Scattering Amplitudes
• Optimising hadronic collider simulations using amplitude neural networks
• Renormalization of gluonic leading-twist Operators in covariant Gauges
• Three-loop four-particle QCD amplitudes
• The integrand form of infrared singularities of two-loop QCD scattering amplitudes