Hiding the Existence of a Family Symmetry in the Standard Model

Abstract

If a family symmetry exists for the quarks and leptons, the Higgs sector is expected to be enlarged to be able to support the transformation properties of this symmetry. There are however three possible generic ways (at tree level) of hiding this symmetry in the context of the Standard Model with just one Higgs doublet. All three mechanisms have their natural realizations in the unification symmetry E_6 and one in SO(10). An interesting example based on SO(10) X A_4 for the neutrino mass matrix is discussed.

11 pages, including 3 figures

References in corpus (5)

• Tri-Bimaximal Mixing and the Neutrino Oscillation Data
• Underlying A_4 Symmetry for the Neutrino Mass Matrix and the Quark Mixing Matrix
• Softly Broken A_4 Symmetry for Nearly Degenerate Neutrino Masses
• A_4 Symmetry and Neutrinos with Very Different Masses
• Phenomenological Tests of Supersymmetric A_4 Family Symmetry Model of Neutrino Mass

Cited by in corpus (9)

• Discrete Flavor Symmetries and Models of Neutrino Mixing
• Flavour physics of leptons and dipole moments
• A SUSY SU(5) Grand Unified Model of Tri-Bimaximal Mixing from A4
• The Unique Horizontal Symmetry of Leptons
• Tribimaximal Neutrino Mixing from a Supersymmetric Model with A_4 Family Symmetry
• Tri-Bimaximal Neutrino Mixing and Discrete Flavour Symmetries
• Non-Abelian Discrete Flavor Symmetries
• Testing Flavor Symmetries by B-Factory
• Lepton family symmetries for neutrino masses and mixing