Mass hierarchy from the flavor symmetry in supersymmetric multi-Higgs doublet model

Abstract

We study the supersymmetric standard model with multiple Higgs doublets with gauged $\mathrm{U}(1{)}_X$ flavor symmetry. When the flavor symmetry is broken by the vacuum expectation value of flavon, the ${\mathbb{Z}}_3$ symmetry $M_3$ called matter triality remains and it prohibits the baryon number violation up to dimension-5 operators. We study the contribution of the extra-Higgs fields to the anomaly cancellation of flavor symmetry and analyze the mass spectra including the multiple generations of Higgs fields as well as quarks and leptons. We show a series of $\mathrm{U}(1{)}_X$ charge assignments, which reproduce the observed masses and mixing angles of quark and lepton. We also find that, with such realistic charge assignments, the extra-Higgs fields obtain masses around the intermediate scale and decouple from the electroweak physics because of the holomorphy of superpotential.

arXiv comment23 pages

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