Geometrical splitting and reduction of Feynman diagrams

Abstract

A geometrical approach to the calculation of N-point Feynman diagrams is reviewed. It is shown that the geometrical splitting yields useful connections between Feynman integrals with different momenta and masses. It is demonstrated how these results can be used to reduce the number of variables in the occurring functions.

6 pages, 8 figures, contribution for proceedings of ACAT 2016 (Valparaiso, Chile, January 18-22, 2016)

References in corpus (3)

• Geometrical methods in loop calculations and the three-point function
• New relationships between Feynman integrals
• Functional equations for one-loop master integrals for heavy-quark production and Bhabha scattering

Cited by in corpus (3)

• Functional relations for elliptic polylogarithms
• Four-point function in general kinematics through geometrical splitting and reduction
• Triangle diagram, Distance Geometry and Symmetries of Feynman Integrals