Two-loop leading-color helicity amplitudes for three-photon production at the LHC

Abstract

We calculate all planar contributions to the two-loop massless helicity amplitudes for the process $q\bar{q}\to \gamma \gamma \gamma$. The results are presented in fully analytic form in terms of the functional basis proposed recently by Chicherin and Sotnikov. With this publication we provide the two-loop contributions already used by us in the NNLO QCD calculation of the LHC process $pp\to \gamma \gamma \gamma$ [Chawdhry et al. (2019)]. Our results agree with a recent calculation of the same amplitude [Abreu et al. (2020)] which was performed using different techniques. We combine several modern computational techniques, notably, analytic solutions for the IBP identities, finite-field reconstruction techniques as well as the recent approach [Chen (2019)] for efficiently projecting helicity amplitudes. Our framework appears well-suited for the calculation of two-loop multileg amplitudes for which complete sets of master integrals exist.

19 pages, 2 figures, published version

References in corpus (20)

• Quark and gluon form factors to three loops
• Analytic Form of the Planar Two-Loop Five-Parton Scattering Amplitudes in QCD
• Analytic Form of the Planar Two-Loop Five-Gluon Scattering Amplitudes in QCD
• Pentagon Functions for Scattering of Five Massless Particles
• Decomposition of Feynman Integrals on the Maximal Cut by Intersection Numbers
• Triphoton production at hadron colliders in NNLO QCD
• NNLO QCD corrections to three-photon production at the LHC
• The two-loop five-point amplitude in $\mathcal{N}=8$ supergravity
• Tensor decomposition for bosonic and fermionic scattering amplitudes
• Analytic representation of all planar two-loop five-point Master Integrals with one off-shell leg
• The two-loop five-particle amplitude in $\mathcal{N}=8$ supergravity
• Di-photon amplitudes in three-loop Quantum Chromodynamics
• Leading-Color Two-Loop QCD Corrections for Three-Photon Production at Hadron Colliders
• Multi-Quark Colour Decompositions from Unitarity
• IBP reduction coefficients made simple
• Color Dressed Unitarity and Recursion for Yang-Mills Two-Loop All-Plus Amplitudes
• Polarised Amplitudes and Soft-Virtual Cross Sections for $b\bar{b}\to ZH$ at NNLO in QCD
• Two-Loop Five-Parton Leading-Colour Finite Remainders in the Spinor-Helicity Formalism
• Analytic integration of soft and collinear radiation in factorised QCD cross sections at NNLO
• Four-particle scattering amplitudes in QCD at NNLO to higher orders in the dimensional regulator

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• Les Houches 2021: Physics at TeV Colliders: Report on the Standard Model Precision Wishlist
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• NNLO QCD corrections in full colour for jet production observables at the LHC
• Locally finite two-loop QCD amplitudes from IR universality for electroweak production
• Computational challenges for multi-loop collider phenomenology
• Virtual QCD corrections to gluon-initiated diphoton plus jet production at hadron colliders
• Three-loop helicity amplitudes for four-quark scattering in massless QCD
• Integral of the double-emission eikonal function for a massive and a massless emitter at an arbitrary angle
• Monte Carlo Event Generators
• $\text{history}$: A tool for fully-differential cross sections at next-to-next-to-leading order
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