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Article
Report number	arXiv:1912.06561 ; CERN-TH-2019-218 ; CP3-19-59
Title	Diagrammatic Coaction of Two-Loop Feynman Integrals
Author(s)	Abreu, Samuel (Louvain U., CP3) ; Britto, Ruth (Hamilton Math. Inst., Dublin ; Trinity Coll., Dublin ; IPhT, Saclay) ; Duhr, Claude (CERN) ; Gardi, Einan (U. Edinburgh, Higgs Ctr. Theor. Phys. ; Edinburgh U., Inst. Astron.) ; Matthew, James (U. Edinburgh, Higgs Ctr. Theor. Phys.)
Publication	2019
Imprint	2019-12-13
Number of pages	10
Note	10 pages, talk given at RADCOR 2019
In:	PoS RADCOR2019 (2019) 065
In:	14th International Symposium on Radiative Corrections : Application of Quantum Field Theory to Phenomenology, Avignon, France, 8 - 13 Sep 2019, pp.065
DOI	10.22323/1.375.0065
Subject category	hep-th ; Particle Physics - Theory
Abstract	It is known that one-loop Feynman integrals possess an algebraic structure encoding some of their analytic properties called the coaction, which can be written in terms of Feynman integrals and their cuts. This diagrammatic coaction, and the coaction on other classes of integrals such as hypergeometric functions, may be expressed using suitable bases of differential forms and integration contours. This provides a useful framework for computing coactions of Feynman integrals expressed using the hypergeometric functions. We will discuss examples where this technique has been used in the calculation of two-loop diagrammatic coactions.
Copyright/License	preprint: (License: arXiv nonexclusive-distrib 1.0) publication: © 2020-2024 The Authors (License: CC-BY-NC-ND-4.0)

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