Kite and Triangle diagrams through Symmetries of Feynman Integrals

Quantum Gravity Unit visitor seminar.
Speaker: Dr. Subhajit Mazumdar,Center for Theoretical Physics, Seoul National University
Title: Kite and Triangle diagrams through Symmetries of Feynman Integrals

Abstract:

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) and the most general triangle diagram (one-loop diagram with three external legs) with arbitrary masses and space-time dimensions. Generically, this method reduces a Feynman integral into a line integral over simpler diagrams. We identify the locus/loci in parameter space where the integrals further reduce to a mere linear combination of simpler diagrams. We generalize and revisit some known results.