A low-scale flavon model with a $Z_N$ symmetry

Understand

We propose a model that explains the fermion mass hierarchy by the Froggatt-Nielsen mechanism with a discrete $Z_N^F$ symmetry.

• As a concrete model, we study a supersymmetric model with a single flavon coupled to the minimal supersymmetric Standard Model.
• Flavon develops a TeV scale vacuum expectation value for realizing flavor hierarchy, an appropriate $\mu$-term and the electroweak scale, hence the model has a low cutoff scale.
• We demonstrate how the flavon is successfully stabilized together with the Higgs bosons in the model.