Abstract
We propose a model that explains the fermion mass hierarchy by the Froggatt-Nielsen mechanism with a discrete \( {\mathrm{\mathbb{Z}}}_N^F \) symmetry. As a concrete model, we study a super-symmetric 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 μ-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. The discrete flavor symmetry \( {\mathrm{\mathbb{Z}}}_N^F \) controls not only the Standard Model fermion masses, but also the Higgs potential and a mass of the Higgsino which is a good candidate for dark matter. The hierarchy in the Higgs-flavon sector is determined in order to make the model anomaly-free and realize a stable electroweak vacuum. We show that this model can explain the fermion mass hierarchy, realistic Higgs-flavon potential and thermally produced dark matter at the same time. We discuss flavor violating processes induced by the light flavon which would be detected in future experiments.
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Higaki, T., Kawamura, J. A low-scale flavon model with a ℤN symmetry. J. High Energ. Phys. 2020, 129 (2020). https://doi.org/10.1007/JHEP03(2020)129
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DOI: https://doi.org/10.1007/JHEP03(2020)129