Fermion Mixings in SU(9) Family Unification

Abstract

In an SU(9) model of gauged family unification, we propose an explanation for why angles observed in the lepton flavor ({\it PMNS}) mixing matrix are significantly larger than those measured for any analagous quark flavor ({\it KM}) mixing angle. It is directly related to a see-saw mechanism that we assume to be responsible for the generation of neutrino masses. Our model is more constrained and therefore even more predictive than a model previously proposed by Barr.

Explanation of mixing angles

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Cited by in corpus (6)

• An explicit SU(12) family and flavor unification model with natural fermion masses and mixings
• Natural fermion mass hierarchy and mixings in family unification
• The global $B-L$ symmetry in the flavor-unified $\mathrm{SU}(N)$ theories
• Unification of gauge, family, and flavor symmetries illustrated in gauged SU(12) models
• A minimal axion model for mass matrices with five texture-zeros
• Compact representation for electroweak lepton sector