Kite diagram through symmetries of Feynman integrals

The symmetries of Feynman integrals (SFI) is a method for evaluating Feynman integrals which exposes a novel continuous group associated with the diagram which depends only on its topology and acts on its parameters. Using this method, we study the kite diagram, a two-loop diagram with two external...

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Bibliographic Details
Published in:Physical review. D 2019-02, Vol.99 (4), Article 045018
Main Authors: Kol, Barak, Mazumdar, Subhajit
Format: Article
Language:English
Subjects:
Integrals
Parameter identification
Topology
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Summary:The symmetries of Feynman integrals (SFI) is a method for evaluating Feynman integrals which exposes a novel continuous group associated with the diagram which depends only on its topology and acts on its parameters. Using this method, we study the kite diagram, a two-loop diagram with two external legs, with arbitrary masses and spacetime dimension. Generically, this method reduces a Feynman integral into a line integral over simpler diagrams. We identify a locus in parameter space where the integral further reduces to a mere linear combination of simpler diagrams, thereby maximally generalizing the known massless case.
ISSN:2470-0010
2470-0029
DOI:10.1103/PhysRevD.99.045018