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This is a report on our newly proposed model of dynamical supersymmetrybreaking with some details of the analysis involved. The model in the simplestversion has only a chiral superfield (multiplet), with a strong four-superfieldinteraction in the K\"ahler potential that induces a real two-superfieldcomposite with vacuum condensate. The latter has supersymmetry breaking parts,which we show to bear nontrivial solution following basically a standardnonperturbative analysis for a Nambu--Jona-Lasinio type model on a superfieldsetting. The real composite superfield has a spin one component but isotherwise quite unconventional. We discuss also the parallel analysis for theeffective theory with the composite. Plausible vacuum solutions are illustratedand analyzed. The supersymmetry breaking solutions have generated soft mass(es)for the scalar avoiding the vanishing supertrace condition for thesquared-masses of the superfield components. We also present some analysis ofthe resulted low energy effective theory with components of the compositebecome dynamical. The determinant of the fermionic modes is shown to be zeroillustrating the presence of the expected Goldstino. The model gives thepossibility of constructing a supersymmetric standard model with all(super)symmetry breaking masses generated dynamically and directly without thenecessity of complicated hidden or mediating sectors.

Analysis on a Nambu--Jona-Lasinio Model of Dynamical Supersymmetry Breaking