Three-loop helicity amplitudes for photon+jet production

Abstract

We present three-loop helicity amplitudes for the production of a single photon in association with one jet in Quantum Chromodynamics, a final state which provides a standard candle of the Standard Model at the Large Hadron Collider. We employ a recently-proposed variation of the so-called tensor projection method in the 't Hooft-Veltman scheme (tHV) which avoids the computation of contributions due to unphysical (-2$\epsilon$)-dimensional polarisations of the external states. We obtain compact analytic results expressed in terms of harmonic polylogarithms.

arXiv comment2 figures, ancillary files with analytical results

References in corpus (45)

• The Three-Loop Splitting Functions in QCD: The Non-Singlet Case
• Scattering Amplitudes with Open Loops
• Harmonic Polylogarithms
• Multiloop integrals in dimensional regularization made simple
• The Three-Loop Splitting Functions in QCD: The Singlet Case
• The Singular Behaviour of QCD Amplitudes at Two-loop Order
• OpenLoops 2
• On the Structure of Infrared Singularities of Gauge-Theory Amplitudes
• Infrared singularities of scattering amplitudes in perturbative QCD
• Reduze - Feynman Integral Reduction in C++
• Multi-loop Amplitudes and Resummation
• Factorization constraints for soft anomalous dimensions in QCD scattering amplitudes
• A novel approach to integration by parts reduction
• PolyLogTools - Polylogs for the masses
• Scattering amplitudes over finite fields and multivariate functional reconstruction
• The Two-loop Soft Anomalous Dimension Matrix and Resummation at Next-to-next-to Leading Pole
• FiniteFlow: multivariate functional reconstruction using finite fields and dataflow graphs
• Three-Loop Results for Quark and Gluon Form Factors
• 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 Quark Form Factor at Higher Orders
• The Two-loop Anomalous Dimension Matrix for Soft Gluon Exchange
• Three-loop corrections to the soft anomalous dimension in multi-leg scattering
• Cusp and collinear anomalous dimensions in four-loop QCD from form factors
• A New Algorithm For The Generation Of Unitarity-Compatible Integration By Parts Relations
• Direct photon production at next-to-next-to-leading order
• The three-loop cusp anomalous dimension in QCD
• Two-loop corrections to Higgs boson production
• Two-loop QED and QCD corrections to massless fermion-boson scattering
• Constructing d-log integrands and computing master integrals for three-loop four-particle scattering
• The three-loop unpolarized and polarized non-singlet anomalous dimensions from off shell operator matrix elements
• Four-gluon scattering at three loops, infrared structure and Regge limit
• Complete sets of logarithmic vector fields for integration-by-parts identities of Feynman integrals
• Tensor decomposition for bosonic and fermionic scattering amplitudes
• Quark and gluon form factors to four loop order in QCD: the $N_f^3$ contributions
• Physical projectors for multi-leg helicity amplitudes
• Three-loop gluon scattering in QCD and the gluon Regge trajectory
• Four-loop collinear anomalous dimensions in QCD and $\mathcal{N}=4$ super Yang-Mills
• Matter Dependence of the Three-Loop Soft Anomalous Dimension Matrix
• The Four-Loop Cusp Anomalous Dimension from the $\mathcal{N}=4$ Sudakov Form Factor
• Two-loop helicity amplitudes for $gg\to ZZ$ with full top-quark mass effects
• Three-loop helicity amplitudes for diphoton production in gluon fusion
• Three-loop helicity amplitudes for quark-gluon scattering in QCD
• On the non-cancellation of infrared singularities in collisions of massive quarks

Cited by in corpus (1)

• Master Integrals for Electroweak corrections to $gg\to \gamma \gamma$ -- Light quark contributions