Multiparton webs beyond three loops

A bstract 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...

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Bibliographic Details
Published in:The journal of high energy physics 2020-05, Vol.2020 (5), p.1-52, Article 128
Main Authors: Agarwal, Neelima, Danish, Abhinava, Magnea, Lorenzo, Pal, Sourav, Tripathi, Anurag
Format: Article
Language:English
Subjects:
Classical and Quantum Gravitation
Correlators
Elementary Particles
Feynman diagrams
Gluons
High energy physics
NLO Computations
Operators (mathematics)
Partons
Perturbation theory
Physics
Physics and Astronomy
QCD Phenomenology
Quantum Field Theories
Quantum Field Theory
Quantum Physics
Regular Article - Theoretical Physics
Relativity Theory
String Theory
Sum rules
Webs
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Summary:A bstract 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.
ISSN:1029-8479
1029-8479
DOI:10.1007/JHEP05(2020)128