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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We would like to thank Ruth Shir and Amit Schiller for many useful discussions. S. M. would like to thank ICTP, Trieste and TIFR, Mumbai, for hospitality while this work was in progress. This research was supported by the “Quantum Universe” I-CORE program of the Israeli Planning and Budgeting Committee.
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