We study a supersymmetry breaking mechanism in the context of a minimal
anomalous extension of the MSSM. The anomaly cancellation mechanism is achieved
through suitable counterterms in the effective action, that is, the Green-Schwarz terms.
We assume that the standard MSSM superpotential is perturbatively realized; that is, all terms allowed by gauge symmetries except for the μ-term which has a nonperturbative origin. The presence of this term is expected in many intersecting D-brane models which can be considered as the ultraviolet completion of our model.
We show how soft supersymmetry breaking terms arise in this framework, and we
study the effect of some phenomenological constraints on this scenario.