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.

23 pages

References in corpus (8)

• Minkowski space structure of the Higgs potential in 2HDM: II. Minima, symmetries, and topology
• (Non-)Abelian discrete anomalies
• Analysis of the parameter space and spectrum of the $\mu \nu$SSM
• Baryon Triality and Neutrino Masses from an Anomalous Flavor U(1)
• Classifying Accidental Symmetries in Multi-Higgs Doublet Models
• Proton Hexality from an Anomalous Flavor U(1) and Neutrino Masses - Linking to the String Scale
• Discrete gauge symmetries and proton stability in the U(1)'-extended MSSM
• A low-scale flavon model with a $Z_N$ symmetry

Cited by in corpus (6)

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