Derivation of functional equations for Feynman integrals from algebraic relations

Abstract

Abstract New methods for obtaining functional equations for Feynman integrals are presented. The application of these methods to finding functional equations for various one- and two-loop integrals is described in detail. It is shown that with the aid of the functional equations Feynman integrals in general kinematics can be expressed in terms of simpler integrals.

Keywords

• Renormalization Regularization and Renormalons
• Scattering Amplitudes