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We present a construction kit for calculating two-loop beta functions in N=1supersymmetric theories for the operators of the superpotential usingsupergraph techniques. In particular, it allows to compute the beta functionsfor every desired, even higher dimensional, operator of the superpotential fromthe wavefunction renormalization constants of the theory. We apply this methodto calculate the two-loop beta functions for the lowest-dimensional effectiveneutrino mass operator in the Minimal Supersymmetric Standard Model (MSSM) andfor the Yukawa couplings in the MSSM extended by singlet superfields and themass matrix for the latter. Our method can be applied to any N=1 supersymmetrictheory.Comment: 15 pages, 13 figures; error in two-loop trace terms correcte

Supergraph Techniques and Two-Loop Beta-Functions for Renormalizable and Non-Renormalizable Operators