Cwebs beyond three loops in multiparton amplitudes

Abstract

Correlators of Wilson-line operators in non-abelian gauge theories are known to exponentiate, and their logarithms can be organised in terms of collections of Feynman diagrams called webs. In [1] we introduced the concept of Cweb, or correlator web, which is a set of skeleton diagrams built with connected gluon correlators, and we computed the mixing matrices for all Cwebs connecting four or five Wilson lines at four loops. Here we complete the evaluation of four-loop mixing matrices, presenting the results for all Cwebs connecting two and three Wilson lines. We observe that the conjuctured column sum rule is obeyed by all the mixing matrices that appear at four-loops. We also show how low-dimensional mixing matrices can be uniquely determined from their known combinatorial properties, and provide some all-order results for selected classes of mixing matrices. Our results complete the required colour building blocks for the calculation of the soft anomalous dimension matrix at four-loop order.

arXiv comment51 pages, 37 figures, Published version, published in JHEP

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Cited by in corpus (8)

• Scattering amplitudes in the Regge limit and the soft anomalous dimension through four loops
• Non-abelian infrared divergences on the celestial sphere
• 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