A4 family symmetry and quark–lepton unification

2006/10/31 by Stephen F. King, Michal Malinsky, Michal Malinský · 4 citations
Physics and Astronomy · #Astrophysics and Cosmic Phenomena #Neutrino Physics Research #Particle physics theoretical and experimental studies #hep-ph

paper · pdf · doi:10.1016/j.physletb.2006.12.006

published as Phys.Lett.B645:351-357,2007 · References & typos corrected

arxiv created 2006/11/01 · openalex publication_date 2006/12/14 · arxiv updated 2010/04/06 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/02

Abstract

We present a model of quark and lepton masses and mixings based on A4 family symmetry, a discrete subgroup of an SO(3) flavour symmetry, together with Pati–Salam unification. It accommodates tri-bimaximal neutrino mixing via constrained sequential dominance with a particularly simple vacuum alignment mechanism emerging through the effective D-term contributions to the scalar potential.

Citations

• Non-Abelian Discrete Family Symmetries of Leptons and Quarks
• Model of Geometric Neutrino Mixing
• Neutrino masses and mixings and...
• Obtaining the neutrino mixing matrix with the tetrahedral group
• Tribimaximal neutrino mixing from a supersymmetric model withA4family symmetry
• Tri-bimaximal neutrino mixing from discrete subgroups of SU(3) and SO(3) family symmetry
• A new lepton-quark mass relation in a unified theory
• A4flavour symmetry breaking scheme for understanding quark and neutrino mixing angles
• Tri-bimaximal neutrino mixing from orbifolding

Cited by

• SUSY adjoint SU(5) grand unified model with S4 flavor symmetry
• Fermion masses and mixings in a S4 based model
• Right unitarity triangles and tri-bimaximal mixing from discrete symmetries and unification
• A4-based see-saw model for realistic neutrino masses and mixing