English

Kite diagram through Symmetries of Feynman Integrals

High Energy Physics - Theory 2019-04-02 v3

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, 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.

Keywords

Cite

@article{arxiv.1808.02494,
  title  = {Kite diagram through Symmetries of Feynman Integrals},
  author = {Barak Kol and Subhajit Mazumdar},
  journal= {arXiv preprint arXiv:1808.02494},
  year   = {2019}
}

Comments

19 pages, 5 figures. v3: PRD published version