Derivation of Functional Equations for Feynman Integrals from Algebraic Relations

Abstract

New methods for obtaining functional equations for Feynman integrals are presented. Application of these methods for finding functional equations for various one- and two- loop integrals 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.

20 pages, 4 jpeg figures

References in corpus (4)

• Algebraic reduction of one-loop Feynman graph amplitudes
• Explicit results for all orders of the epsilon-expansion of certain massive and massless diagrams
• New relationships between Feynman integrals
• Functional equations for one-loop master integrals for heavy-quark production and Bhabha scattering

Cited by in corpus (1)

• Methods for deriving functional equations for Feynman integrals