34 citations · 43 across the 7 of their papers we have counts for
7 papers
The Diagrammatic Coaction
Samuel Abreu, Ruth Britto, Claude Duhr +2
The diagrammatic coaction underpins the analytic structure of Feynman integrals, their cuts and the differential equations they admit. The coaction maps any diagram into a tensor p…
The diagrammatic coaction beyond one loop
Samuel Abreu, Ruth Britto, Claude Duhr +2
The diagrammatic coaction maps any given Feynman graph into pairs of graphs and cut graphs such that, conjecturally, when these graphs are replaced by the corresponding Feynman int…
Diagrammatic Coaction of Two-Loop Feynman Integrals
Samuel Abreu, Ruth Britto, Claude Duhr +2
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…
Generalized hypergeometric functions and intersection theory for Feynman integrals
Samuel Abreu, Ruth Britto, Claude Duhr +2
Feynman integrals that have been evaluated in dimensional regularization can be written in terms of generalized hypergeometric functions. It is well known that properties of these…
From positive geometries to a coaction on hypergeometric functions
Samuel Abreu, Ruth Britto, Claude Duhr +2
It is well known that Feynman integrals in dimensional regularization often evaluate to functions of hypergeometric type. Inspired by a recent proposal for a coaction on one-loop F…
Coaction for Feynman integrals and diagrams
Samuel Abreu, Ruth Britto, Claude Duhr +2
We propose a general coaction for families of integrals appearing in the evaluation of Feynman diagrams, such as multiple polylogarithms and generalized hypergeometric functions. W…