Analytic Form of the Planar Two-Loop Five-Gluon Scattering Amplitudes in QCD

Abstract

We present the analytic form of the two-loop five-gluon scattering amplitudes in QCD for a complete set of independent helicity configurations of external gluons. These include the first analytic results for five-point two-loop amplitudes relevant for the computation of next-to-next-to-leading-order QCD corrections at hadron colliders. The results were obtained by reconstructing analytic expressions from numerical evaluations. The complexity of the computation is reduced by exploiting physical and analytical properties of the amplitudes, employing a minimal basis of so-called pentagon functions that have recently been classified.

Ancillary files with analytic expressions can be downloaded from https://www.qft.physik.uni-freiburg.de/ScatteringAmplitudes

References in corpus (11)

• Reducing full one-loop amplitudes to scalar integrals at the integrand level
• Classical Polylogarithms for Amplitudes and Wilson Loops
• An Automated Implementation of On-Shell Methods for One-Loop Amplitudes
• Factorization constraints for soft anomalous dimensions in QCD scattering amplitudes
• Full one-loop amplitudes from tree amplitudes
• A Numerical Unitarity Formalism for Evaluating One-Loop Amplitudes
• Scattering amplitudes over finite fields and multivariate functional reconstruction
• The two-loop five-point amplitude in $\mathcal{N}=8$ supergravity
• Multi-Quark Colour Decompositions from Unitarity
• Analytic all-plus-helicity gluon amplitudes in QCD
• Modular SIMD arithmetic in Mathemagix

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• The two-loop five-point amplitude in $\mathcal{N}=8$ supergravity
• The two-loop five-particle amplitude in $\mathcal{N}=8$ supergravity
• Di-photon amplitudes in three-loop Quantum Chromodynamics
• Multi-Quark Colour Decompositions from Unitarity
• Bootstrapping a Two-Loop Four-Point Form Factor
• Complete Form Factors in Yang-Mills from Unitarity and Spinor Helicity in Six Dimensions