Higher covariant derivative regularization for calculations in supersymmetric theories

A variant of the higher covariant derivative regularization is used for calculation of a two-loop $\beta$-function for the general renormalizable $N=1$ supersymmetric theory. It is shown that the $\beta$-function is given by integrals of total derivatives. Partially this can be explained by substituting solutions of Slavnov–Taylor identities into the Schwinger–Dyson equations.

Received in September 2010