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.

2 figures, ancillary files with analytical results

References in corpus (12)

• Factorization constraints for soft anomalous dimensions in QCD scattering amplitudes
• 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
• The Two-loop Anomalous Dimension Matrix for Soft Gluon Exchange
• The three-loop cusp anomalous dimension in QCD
• 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
• Quark and gluon form factors to four loop order in QCD: the $N_f^3$ contributions
• Matter Dependence of the Three-Loop Soft Anomalous Dimension Matrix
• 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