The Differential Equation Method: evaluation of complicated Feynman diagrams

Abstract

We discuss a progress in calculation of Feynman integrals which has been done with help of the Differential Equation Method and demonstrate the results for a class of two-point two-loop diagrams.

Figures (2)

• Figure 1: Two-loop selfenergy diagrams. Solid lines denote propagators with the mass $m$; dashed lines denote massless propagators.
• Figure 2: The full set of two-loop self-energies diagrams with one mass. Bold and thin lines correspond to the mass and massless propagators, respectively.