Multiparton webs beyond three loops

Abstract

Correlators of Wilson-line operators are fundamental ingredients for the study of the infrared properties of non-abelian gauge theories. In perturbation theory, they are known to exponentiate, and their logarithm can be organised in terms of collections of Feynman diagrams called webs. We study the classification of webs to high perturbative orders, proposing a set of tools to generate them recursively: in particular, we introduce the concept of Cweb, or correlator web, which is a set of skeleton diagrams built with connected gluon correlators, instead of individual Feynman diagrams. As an application, we enumerate all Cwebs entering the soft anomalous dimension matrix for multi-parton scattering amplitudes at four loops, and we compute the mixing matrices for all Cwebs connecting four or five Wilson lines at that loop order, verifying that they obey sum rules that were derived or conjectured in the literature. Our results provide the colour building blocks for the calculation of the soft anomalous dimension matrix at four-loop order.

Published version; Published in JHEP; 51 pages, 65 figures

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Cited by in corpus (12)

• Collider Physics at the Precision Frontier
• Scattering amplitudes in the Regge limit and the soft anomalous dimension through four loops
• Non-abelian infrared divergences on the celestial sphere
• Asymptotic dynamics on the worldline for spinning particles
• Cwebs beyond three loops in multiparton amplitudes
• Exposing the threshold structure of loop integrals
• Infrared singularities of multi-leg QCD amplitudes with a massive parton at three loops
• Building blocks of Cwebs in multiparton scattering amplitudes
• Power Corrections to Electroweak Boson Production from Threshold Resummation
• Deciphering Colour Building Blocks of Massive Multiparton Amplitudes at 4-loops and beyond
• Two-loop infrared singularities in the production of a Higgs boson associated with a top-quark pair
• Boomerang webs up to three-loop order