Two-loop renormalization for nonanticommutative N = 1/2 supersymmetric WZ model

We study systematically, through two loops, the divergence structure of the supersymmetric WZ model defined on the N = 1/2 nonanticommutative superspace. By introducing a spurion field to represent the supersymmetry breaking term F3 we are able to perform our calculations using conventional supergraph techniques. Divergent terms proportional to F, F2 and F3 are produced (the first two are to be expected on general grounds) but no higher-point divergences are found. By adding ab initio F and F2 terms to the original lagrangian we render the model renormalizable. We determine the renormalization constants and beta functions through two loops, thus making it possible to study the renormalization group flow of the nonanticommutation parameter. (author)