Diagrammatic Hopf algebra of cut Feynman integrals: the one-loop case

Abstract We construct a diagrammatic coaction acting on one-loop Feynman graphs and their cuts. The graphs are naturally identified with the corresponding (cut) Feynman integrals in dimensional regularization, whose coefficients of the Laurent expansion in the dimensional regulator are multiple poly...

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Bibliographic Details
Main Authors: Samuel Abreu, Ruth Britto, Claude Duhr, Einan Gardi
Format: Article
Language:English
Published: SpringerOpen 2017-12-01
Series:Journal of High Energy Physics
Subjects:
Online Access:http://link.springer.com/article/10.1007/JHEP12(2017)090