Two-loop helicity amplitudes for diphoton plus jet production in full color

Abstract

We present the complete two-loop corrections in massless QCD for the production of two photons and a jet, taking into account all color structures. In particular, we analytically compute all two-loop helicity amplitudes for the quark-antiquark, quark-gluon, and antiquark-gluon channel, and check them with an independent calculation of the polarization-summed interference with the tree amplitude. This is the first time that two-loop QCD corrections to a five-point scattering process have been computed beyond the leading-color approximation for all helicity configurations.

arXiv comment10 pages, 1 table, analytic results at https://gitlab.msu.edu/vmante/aajamp-symb

References in corpus (63)

• Harmonic Polylogarithms
• Multiloop integrals in dimensional regularization made simple
• Differential Equations for Two-Loop Four-Point Functions
• The Singular Behaviour of QCD Amplitudes at Two-loop Order
• Differential Equations for Feynman Graph Amplitudes
• Classical Polylogarithms for Amplitudes and Wilson Loops
• Dimensionally Regulated Pentagon Integrals
• OpenLoops 2
• Local Integrals for Planar Scattering Amplitudes
• Algorithms for the symbolic integration of hyperlogarithms with applications to Feynman integrals
• A novel approach to integration by parts reduction
• From polygons and symbols to polylogarithmic functions
• PolyLogTools - Polylogs for the masses
• Hopf algebras, coproducts and symbols: an application to Higgs boson amplitudes
• Scattering amplitudes over finite fields and multivariate functional reconstruction
• FiniteFlow: multivariate functional reconstruction using finite fields and dataflow graphs
• Towards a Basis for Planar Two-Loop Integrals
• Two-loop Integrand Decomposition into Master Integrals and Surface Terms
• Integration-by-parts reductions from unitarity cuts and algebraic geometry
• The massless higher-loop two-point function
• Analytic and Algorithmic Aspects of Generalized Harmonic Sums and Polylogarithms
• Analytic form of the two-loop planar five-gluon all-plus-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
• Analytic Form of the Planar Two-Loop Five-Gluon Scattering Amplitudes in QCD
• Planar Two-Loop Five-Gluon Amplitudes from Numerical Unitarity
• Pentagon Functions for Scattering of Five Massless Particles
• A first look at two-loop five-gluon scattering in QCD
• Constructing d-log integrands and computing master integrals for three-loop four-particle scattering
• Two-Loop Four-Gluon Amplitudes with the Numerical Unitarity Method
• Analytic form of the full two-loop five-gluon all-plus helicity amplitude
• Planar Two-Loop Five-Parton Amplitudes from Numerical Unitarity
• Triphoton production at hadron colliders in NNLO QCD
• NNLO QCD corrections to three-photon production at the LHC
• Analytic result for a two-loop five-particle amplitude
• Analytic helicity amplitudes for two-loop five-gluon scattering: the single-minus case
• Four-gluon scattering at three loops, infrared structure and Regge limit
• MultivariateApart: Generalized Partial Fractions
• Analytic result for the nonplanar hexa-box integrals
• Two-loop QCD corrections to $Wb\bar{b}$ production at hadron colliders
• Complete sets of logarithmic vector fields for integration-by-parts identities of Feynman integrals
• The two-loop five-point amplitude in $\mathcal{N}=8$ supergravity
• Leading-Color Two-Loop QCD Corrections for Three-Jet Production at Hadron Colliders
• Tensor decomposition for bosonic and fermionic scattering amplitudes
• Physical projectors for multi-leg helicity amplitudes
• The Pentabox Master Integrals with the Simplified Differential Equations approach
• Complete reduction of integrals in two-loop five-light-parton scattering amplitudes
• The two-loop five-particle amplitude in $\mathcal{N}=8$ supergravity
• Di-photon amplitudes in three-loop Quantum Chromodynamics
• Simplified differential equations approach for Master Integrals
• QCD radiative corrections to prompt diphoton production in association with a jet at hadron colliders
• Two-loop leading colour QCD corrections to $q\bar{q}\to \gamma \gamma g$ and $qg\to \gamma \gamma q$
• Caravel: A C++ Framework for the Computation of Multi-Loop Amplitudes with Numerical Unitarity
• 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
• Four-graviton scattering to three loops in $\mathcal{N}=8$ supergravity
• Two-loop leading-colour QCD helicity amplitudes for two-photon plus jet production at the LHC
• Two-loop five-point massless QCD amplitudes within the IBP approach
• Two-loop helicity amplitudes for $gg\to ZZ$ with full top-quark mass effects
• IBP reduction coefficients made simple
• Automating QCD amplitudes with on-shell methods
• Two-Loop Five-Parton Leading-Colour Finite Remainders in the Spinor-Helicity Formalism

Cited by in corpus (32)

• 50 Years of Quantum Chromodynamics
• Pentagon Functions for One-Mass Planar Scattering Amplitudes
• Two-Loop Hexa-Box Integrals for Non-Planar Five-Point One-Mass Processes
• Isolated photon production in association with a jet pair through next-to-next-to-leading order in QCD
• Quark and gluon form factors in four-loop QCD
• Les Houches 2021: Physics at TeV Colliders: Report on the Standard Model Precision Wishlist
• 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
• Lepton-pair scattering with an off-shell and an on-shell photon at two loops in massless QED
• Two-loop master integrals for a planar topology contributing to $pp\to t\bar{t}j$
• Ansätze for Scattering Amplitudes from $p$-adic Numbers and Algebraic Geometry
• One-loop QCD helicity amplitudes for $pp\to t\bar{t}j$ to $O({\epsilon }^2)$
• Full-colour double-virtual amplitudes for associated production of a Higgs boson with a bottom-quark pair at the LHC
• A first look at the function space for planar two-loop six-particle Feynman integrals
• 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
• NNLO+PS Monte Carlo simulation of photon pair production with MiNNLOPS
• Computational challenges for multi-loop collider phenomenology
• p-adic reconstruction of rational functions in multi-loop amplitudes
• Signal-background interference effects in Higgs-mediated diphoton production beyond NLO
• 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
• Two-loop all-plus helicity amplitudes for self-dual Higgs boson with gluons via unitarity cut constraints
• Scaling up to Multivariate Rational Function Reconstruction
• Monte Carlo evaluation of divergent one-loop integrals without contour deformation
• Optimising hadronic collider simulations using amplitude neural networks
• One-Loop QCD Corrections to $\bar{u}d\to t\bar{t}W$ at $\mathcal{O}({\epsilon }^2)$
• Top-Yukawa contributions to $pp\to b\bar{b}H$: two-loop leading-colour amplitudes
• $\text{history}$: A tool for fully-differential cross sections at next-to-next-to-leading order
• Two-loop tensor integral coefficients in OpenLoops
• One-loop amplitudes for $t\bar{t}j$ and $t\bar{t}\gamma$ productions at the LHC through $\mathcal{O}({\epsilon }^2)$