Abstract
Supersymmetry is undoubtedly a popular candidate for physics beyond the Standard Model. However, the origin of soft supersymmetry breaking masses has been usually depicted intricately in the literature via extra hidden/mediating sectors. Thus, a simple theory for the generation of the soft masses would be more compelling. Here we discuss a possible approach to dynamical supersymmetry breaking via Nambu-Jona- Lasinio (NJL) Model, which has been missed since the first investigation of supersymmetric NJL model. We introduce a four-superfield interaction term that induces a real two-superfield composite with vacuum condensate. The latter has supersymmetry breaking parts, which we show to bear nontrivial solutions following a standard nonperturbative analysis for a NJL type model. The presence of the expected Goldstino state along with the supersymmetry breaking, is also verified. Moreover, the model gives rise to a composite spin one field, as its important characteristic.
Highlights
With the discovery of the Higgs boson, all the elementary particles which the Standard Model (SM) predicted, have been discovered
Though we have not seen any clear indication of supersymmetry or new physics, so long as phenomenology at the TeV scale is concerned, the supersymmetric standard model (SSM) is still a popular candidate theory beyond the SM being matched to the LHC results
We have shown how the NJL mechanism can be used to break supersymmetry dynamically
Summary
With the discovery of the Higgs boson, all the elementary particles which the Standard Model (SM) predicted, have been discovered. The first supersymmetric version of Nambu–Jona-Lasinio model was introduced in the early eighties [9, 10], which generalizes the four-fermion interaction to a four-superfield interaction of the same dimension in the Kähler potential. It requires input soft supersymmetry breaking masses to have the dynamical (electroweak) symmetry breaking. Following the line of thinking, it will be great to find a simple model which breaks supersymmetry and generates the soft mass dynamically under a NJL framework This possibility has been missed in the literature, and has the potential importance for investigation. Some remarks and conclusions will be presented in the last section
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