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

TL;DR

This paper introduces a novel dynamical supersymmetry breaking model based on a Nambu--Jona-Lasinio type superfield interaction, leading to spontaneous symmetry breaking and soft mass generation without hidden sectors.

Contribution

It proposes a new supersymmetry breaking mechanism using a strong four-superfield interaction in a simple chiral superfield model, with detailed nonperturbative analysis and effective theory development.

Findings

Supersymmetry is dynamically broken with a nontrivial vacuum condensate.

Soft masses are generated for scalar components, avoiding supertrace issues.

Presence of a Goldstino mode confirms spontaneous supersymmetry breaking.

Abstract

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