Methods for deriving functional equations for Feynman integrals

Abstract

We present short review of two methods for obtaining functional equations for Feynman integrals. Application of these methods for finding functional equations for one- and two- loop integrals is described in detail. It is shown that with the aid of functional equations Feynman integrals in general kinematics can be expressed in terms of simpler integrals. Similarities between functional equations for Feynman integrals and addition theorem for Abel integrals are shortly discussed.

11 pages, 2 figures, PdfLatex

References in corpus (4)

• Connection between Feynman integrals having different values of the space-time dimension
• New relationships between Feynman integrals
• Functional equations for one-loop master integrals for heavy-quark production and Bhabha scattering
• Derivation of Functional Equations for Feynman Integrals from Algebraic Relations

Cited by in corpus (2)

• Symbology for elliptic multiple polylogarithms and the symbol prime
• $\text{AlgRel.wl}$: Algebraic Relations for the Product of Propagators in Feynman integrals