Holomorphic Supersymmetric Nambu--Jona-Lasinio Model with Application to Electroweak Symmetry Breaking

TL;DR

This paper introduces a novel supersymmetric Nambu--Jona-Lasinio model with a holomorphic operator, providing a new approach to dynamical symmetry breaking and deriving the Higgs mass range within a supersymmetric framework.

Contribution

It presents a new supersymmetric model with a holomorphic dimension-five operator that leads to composite Higgs fields and connects to the Minimal Supersymmetric Standard Model.

Findings

Model yields a viable dynamical symmetry breaking mechanism.

Higgs mass range predicted to be consistent with phenomenology.

Background scale can be as low as the TeV scale.

Abstract

Based on our idea of an alternative supersymmetrization of the Nambu--Jona-Lasinio model for dynamical symmetry breaking, we analyze the resulted new model with a holomorphic dimension-five operator in the superpotential. The approach provides a new direction for modeling dynamical symmetry breaking in a supersymmetric setting. In particular, we adopt the idea to formulate a model that gives rise to the Minimal Supersymmetric Standard Model as the low energy effective theory with both Higgs superfields as composites. A renormalization group analysis is performed to establish the phenomenological viability of the scenario, with admissible background scale that could go down to the TeV scale. We give the Higgs mass range predicted.