Neutrinos and SU(3) Family Gauge Symmetry

Abstract

We include the standard-model (SM) leptons in a recently proposed framework for the generation of quark mass ratios and Cabibbo-Kobayashi-Maskawa (CKM) mixing angles from an SU(3) family gauge interaction. The set of SM-singlet scalar fields describing the spontaneous breaking is the same as employed for the quark sector. The imposition at tree-level of the experimentally correct Pontecorvo-Maki-Nakagawa-Sakata (PMNS) mixing matrix, in the form of a tri-bi maximal structure, fixes several of the otherwise free parameters and renders the model predictive. The normal hierarchy among the neutrino masses emerges from this scheme.

9 pages, 3 tables; a comment added to clarify the effects of additional Yukawa operators; final version in PRD

References in corpus (1)

• Quark Mass Ratios and Mixing Angles from SU(3) Family Gauge Symmetry

Cited by in corpus (10)

• The Unique Horizontal Symmetry of Leptons
• Symmetry of Lepton Mixing
• SU(3) Family Gauge Symmetry and the Axion
• Fermion Mixings in SU(9) Family Unification
• Family symmetries and the origin of fermion masses and mixings
• Masses and Mixings in a Grand Unified Toy Model
• Fermion masses and neutrino mixing in an U(1)_H flavor symmetry model with hierarchical radiative generation for light charged fermion masses
• Tests of a Family Gauge Symmetry Model at 10^3 TeV Scale
• Constrained Flavor Breaking
• Family Unification in $SO(16)$ Grand Unification