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arxiv: 1808.02494 · v3 · pith:M2QE5GJUnew · submitted 2018-08-07 · ✦ hep-th

Kite diagram through Symmetries of Feynman Integrals

classification ✦ hep-th
keywords diagramfeynmanintegralintegralsmethoddiagramskitereduces
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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.

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