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

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

2002-03-04

arxiv.org/abs/hep-ph/0203027v5

JHEP 0207 (2002) 059

Physics

High Energy Physics

High Energy Physics - Phenomenology

15 pages, 13 figures; error in two-loop trace terms corrected

Scientific paper

10.1088/1126-6708/2002/07/059

We present a construction kit for calculating two-loop beta functions in N=1 supersymmetric theories for the operators of the superpotential using supergraph techniques. In particular, it allows to compute the beta functions for every desired, even higher dimensional, operator of the superpotential from the wavefunction renormalization constants of the theory. We apply this method to calculate the two-loop beta functions for the lowest-dimensional effective neutrino mass operator in the Minimal Supersymmetric Standard Model (MSSM) and for the Yukawa couplings in the MSSM extended by singlet superfields and the mass matrix for the latter. Our method can be applied to any N=1 supersymmetric theory.

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