NNLO QCD corrections to three-photon production at the LHC

Abstract

We compute the NNLO QCD corrections to three-photon production at the LHC. This is the first NNLO QCD calculation for a $2\to 3$ process. Our calculation is exact, except for the scale-independent part of the two-loop finite remainder which is included in the leading color approximation. We estimate the size of the missing two-loop corrections and find them to be phenomenologically negligible. We compare our predictions with available 8 TeV measurement from the ATLAS collaboration. We find that the inclusion of the NNLO corrections eliminates the existing significant discrepancy with respect to NLO QCD predictions, paving the way for precision phenomenology in this process.

arXiv comment20 pages, 6 figures. v2: published version

References in corpus (77)

• Parton distributions from high-precision collider data
• Scattering Amplitudes with Open Loops
• Next-to-Next-to-Leading Order Higgs Production at Hadron Colliders
• Higgs boson production at hadron colliders in NNLO QCD
• An NNLO subtraction formalism in hadron collisions and its application to Higgs boson production at the LHC
• High-precision QCD at hadron colliders: electroweak gauge boson rapidity distributions at NNLO
• Antenna Subtraction at NNLO
• OpenLoops 2
• An automatized algorithm to compute infrared divergent multi-loop integrals
• Isolated photons in perturbative QCD
• A novel subtraction scheme for double-real radiation at NNLO
• Fully differential NNLO computations with MATRIX
• pySecDec: a toolbox for the numerical evaluation of multi-scale integrals
• Fully differential VBF Higgs production at NNLO
• $W$-boson production in association with a jet at next-to-next-to-leading order in perturbative QCD
• Antenna subtraction with hadronic initial states
• High-precision differential predictions for top-quark pairs at the LHC
• Color singlet production at NNLO in MCFM
• Higgs boson production in association with a jet at next-to-next-to-leading order in perturbative QCD
• FiniteFlow: multivariate functional reconstruction using finite fields and dataflow graphs
• RECOLA: REcursive Computation of One-Loop Amplitudes
• Diphoton production at hadron colliders: a fully-differential QCD calculation at NNLO
• Complete off-shell effects in top quark pair hadroproduction with leptonic decay at next-to-leading order
• Double-real radiation in hadronic top quark pair production as a proof of a certain concept
• Infrared Structure at NNLO Using Antenna Subtraction
• A new method for real radiation at NNLO
• Four-dimensional formulation of the sector-improved residue subtraction scheme
• Resolving the Tevatron Top Quark Forward-Backward Asymmetry Puzzle: Fully Differential Next-to-Next-to-Leading-Order Calculation
• Nested soft-collinear subtractions in NNLO QCD computations
• Analytic form of the two-loop planar five-gluon all-plus-helicity amplitude in QCD
• Predictions for diphoton production at the LHC through NNLO in QCD
• A Two-Loop Five-Gluon Helicity Amplitude in QCD
• Pentagon functions for massless planar scattering amplitudes
• The two-loop five-point amplitude in $\mathcal{N}=4$ super-Yang-Mills theory
• Analytic Form of the Planar Two-Loop Five-Parton Scattering Amplitudes in QCD
• All master integrals for three-jet production at NNLO
• NLO QCD corrections to Higgs boson plus jet production with full top-quark mass dependence
• Analytic Form of the Planar Two-Loop Five-Gluon Scattering Amplitudes in QCD
• Two-Loop Iteration of Five-Point N=4 Super-Yang-Mills Amplitudes
• Dynamical scales for multi-TeV top-pair production at the LHC
• Planar Two-Loop Five-Gluon Amplitudes from Numerical Unitarity
• Top-quark pair production at the LHC: Fully differential QCD predictions at NNLO
• Precise predictions for dijet production at the LHC
• NNLO QCD predictions for fully-differential top-quark pair production at the Tevatron
• Matching of Singly- and Doubly-Unresolved Limits of Tree-level QCD Squared Matrix Elements
• A first look at two-loop five-gluon scattering in QCD
• Analytic form of the full two-loop five-gluon all-plus helicity amplitude
• Planar Two-Loop Five-Parton Amplitudes from Numerical Unitarity
• The $q_T$ subtraction method for top quark production at hadron colliders
• Analytic result for a two-loop five-particle amplitude
• A Complete Two-Loop, Five-Gluon Helicity Amplitude in Yang-Mills Theory
• Analytic helicity amplitudes for two-loop five-gluon scattering: the single-minus case
• NNLO QCD corrections to jet production at hadron colliders from gluon scattering
• Bootstrapping pentagon functions
• Complete integration-by-parts reductions of the non-planar hexagon-box via module intersections
• Single-jet inclusive rates with exact color at $\mathcal{O}({\alpha }_s^4)$
• Analytic result for the nonplanar hexa-box integrals
• Higher order corrections to spin correlations in top quark pair production at the LHC
• Local Analytic Sector Subtraction at NNLO
• The two-loop five-point amplitude in $\mathcal{N}=8$ supergravity
• Top Quark Pair Production in Association with a Jet with NLO QCD Off-Shell Effects at the Large Hadron Collider
• Antenna subtraction for the production of heavy particles at hadron colliders
• Differential equations from unitarity cuts: nonplanar hexa-box integrals
• Geometric IR subtraction for real radiation
• Off-shell Top Quarks with One Jet at the LHC: A comprehensive analysis at NLO QCD
• Two-loop five-point all plus helicity Yang-Mills amplitude
• Integrand Reduction for Two-Loop Scattering Amplitudes through Multivariate Polynomial Division
• The two-loop five-particle amplitude in $\mathcal{N}=8$ supergravity
• Analytic results for color-singlet production at NNLO QCD with the nested soft-collinear subtraction scheme
• Diphoton production at the LHC: a QCD study up to NNLO
• Local integrands for two-loop all-plus Yang-Mills amplitudes
• Factorisation and Subtraction beyond NLO
• Two-loop five-point massless QCD amplitudes within the IBP approach
• Hard Photons in Hadroproduction of Top Quarks with Realistic Final States
• Differential equations on unitarity cut surfaces
• Amplitudes from superconformal Ward identities
• Two-Loop Gravity amplitudes from four dimensional Unitarity

Cited by in corpus (70)

• 50 Years of Quantum Chromodynamics
• Collider Physics at the Precision Frontier
• Pentagon Functions for Scattering of Five Massless Particles
• A first next-to-next-to-leading order study of three-jet production at the LHC
• NNLO QCD corrections to diphoton production with an additional jet at the LHC
• Pentagon Functions for One-Mass Planar Scattering Amplitudes
• Challenges in Monte Carlo event generator software for High-Luminosity LHC
• Two-loop QCD corrections to $Wb\bar{b}$ production at hadron colliders
• Event Generators for High-Energy Physics Experiments
• Leading-Color Two-Loop QCD Corrections for Three-Jet Production at Hadron Colliders
• Two-loop helicity amplitudes for diphoton plus jet production in full color
• NNLO QCD corrections to leptonic observables in top-quark pair production and decay
• Two-Loop Hexa-Box Integrals for Non-Planar Five-Point One-Mass Processes
• Two-loop leading-colour QCD helicity amplitudes for Higgs boson production in association with a bottom-quark pair at the LHC
• Analytic representation of all planar two-loop five-point Master Integrals with one off-shell leg
• Isolated photon production in association with a jet pair through next-to-next-to-leading order in QCD
• Complete reduction of integrals in two-loop five-light-parton scattering amplitudes
• Di-photon amplitudes in three-loop Quantum Chromodynamics
• Quark and gluon form factors in four-loop QCD
• Two-loop leading colour QCD corrections to $q\bar{q}\to \gamma \gamma g$ and $qg\to \gamma \gamma q$
• Les Houches 2021: Physics at TeV Colliders: Report on the Standard Model Precision Wishlist
• Leading-Color Two-Loop QCD Corrections for Three-Photon Production at Hadron Colliders
• Two-loop leading-color helicity amplitudes for three-photon production at the LHC
• Two-loop leading-colour QCD helicity amplitudes for two-photon plus jet production at the LHC
• NNLO QCD predictions for W+c-jet production at the LHC
• Three-loop helicity amplitudes for diphoton production in gluon fusion
• Two-Loop QCD Corrections for Three-Photon Production at Hadron Colliders
• Three-loop helicity amplitudes for quark-gluon scattering in QCD
• NNLO QCD study of polarised $W^{+}{W}^{-}$ production at the LHC
• Advancing MiNNLO${}_{\mathrm{PS}}$ to diboson processes: $Z\gamma$ production at NNLO+PS
• Locally finite two-loop amplitudes for off-shell multi-photon production in electron-positron annihilation
• Loop-tree duality from vertices and edges
• Two-loop master integrals for a planar topology contributing to $pp\to t\bar{t}j$
• $ZZ$ production at nNNLO+PS with MiNNLO${}_{\text{PS}}$
• Ansätze for Scattering Amplitudes from $p$-adic Numbers and Algebraic Geometry
• Photon Fragmentation in the Antenna Subtraction Formalism
• Scale and isolation sensitivity of diphoton distributions at the LHC
• $W^{+}{W}^{-}$ production at NNLO+PS with MiNNLO${}_{\mathrm{PS}}$
• NNLO subtraction for any massless final state: a complete analytic expression
• HHH Whitepaper
• Analytic integration of soft and collinear radiation in factorised QCD cross sections at NNLO
• Full-colour double-virtual amplitudes for associated production of a Higgs boson with a bottom-quark pair at the LHC
• Comparing Machine Learning and Interpolation Methods for Loop-Level Calculations
• The colourful antenna subtraction method
• Numerical evaluation of two-loop QCD helicity amplitudes for $gg\to t\bar{t}g$ at leading colour
• NNLO QCD corrections in full colour for jet production observables at the LHC
• Generalised Antenna Functions for Higher-Order Calculations
• Next-to-next-to-leading order event generation for $VH$ production with $H\to b\bar{b}$ decay
• Locally finite two-loop QCD amplitudes from IR universality for electroweak production
• Higgs boson decays into narrow di-photon jets and their search strategies at the Large Hadron Collider
• Non-local slicing approaches for NNLO QCD in MCFM
• Computational challenges for multi-loop collider phenomenology
• Canonical differential equations for the elliptic two-loop five-point integral family relevant to $t\bar{t}+$jet production at leading colour
• Associated production of a top-quark pair with two isolated photons at the LHC through NLO in QCD
• Three-photon productions within the $k_t$-factorization for the ATLAS-LHC data
• Decomposition of Triple Collinear Splitting Functions
• QCD anatomy of photon isolation
• Sampling NNLO QCD phase space with normalizing flows
• Les Houches 2023 -- Physics at TeV Colliders: Report on the Standard Model Precision Wishlist
• Double virtual QCD corrections to $t\bar{t}+$jet production at the LHC
• Virtual QCD corrections to gluon-initiated diphoton plus jet production at hadron colliders
• Analytic double-soft integrated subtraction terms for two massive emitters in a back-to-back kinematics
• Production of three isolated photons in the parton Reggeization approach at high energies
• Two-loop all-plus helicity amplitudes for self-dual Higgs boson with gluons via unitarity cut constraints
• Three-loop helicity amplitudes for four-quark scattering in massless QCD
• Mixed QCD-electroweak corrections to dilepton production at the LHC in the high invariant mass region
• Integral of the double-emission eikonal function for a massive and a massless emitter at an arbitrary angle
• One-Loop QCD Corrections to $\bar{u}d\to t\bar{t}W$ at $\mathcal{O}({\epsilon }^2)$
• Two-loop tensor integral coefficients in OpenLoops
• Monte Carlo Event Generators for Future Lepton Colliders