Recursion relations for two-loop self-energy diagrams on-shell

Abstract

A set of recurrence relations for on-shell two-loop self-energy diagrams with one mass is presented, which allows to reduce the diagrams with arbitrary indices (powers of scalar propagators) to a set of the master integrals. The SHELL2 package is used for the calculation of special types of diagrams. A method of calculation of higher order ε-expansion of master integrals is demonstrated.

Figures (1)

• Figure 1: The F, V and J topologies. Bold and thin lines correspond to the mass and massless propagators, respectively. ON3 and ON2 are diagrams calculable by package SHELL2