Kite diagram through Symmetries of Feynman Integrals
arXiv:1808.02494 · doi:10.1103/PhysRevD.99.045018
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.
arXiv comment19 pages, 5 figures. v3: PRD published version
References in corpus (19)
- Differential Equations for Two-Loop Four-Point Functions
- Differential Equations for Feynman Graph Amplitudes
- FIRE5: a C++ implementation of Feynman Integral REduction
- Two-Loop g -> gg Splitting Amplitudes in QCD
- Generalized Recurrence Relations for Two-loop Propagator Integrals with Arbitrary Masses
- Explicit solutions of the 3--loop vacuum integral recurrence relations
- Differential equations and dispersion relations for Feynman amplitudes. The two-loop massive sunrise and the kite integral
- The kite integral to all orders in terms of elliptic polylogarithms
- Effective field theory calculation of second post-Newtonian binary dynamics
- Simple one-dimensional integral representations for two-loop self-energies: the master diagram
- Analytic continuation and numerical evaluation of the kite integral and the equal mass sunrise integral
- The diamond rule for multi-loop Feynman diagrams
- The vacuum seagull: evaluating a 3-loop Feynman diagram with 3 mass scales
- Symmetries of Feynman integrals and the Integration By Parts method
- Bubble diagram through the Symmetries of Feynman Integrals method
- The algebraic locus of Feynman integrals
- Explicit solutions of the n--loop vacuum integral recurrence relations
- Two-loop vacuum diagram through the Symmetries of Feynman Integrals method
- Algebraic aspects of when and how a Feynman diagram reduces to simpler ones