S4as a natural flavor symmetry for lepton mixing

2008/11/12 by F. Bazzocchi, Federica Bazzocchi, Stefano Morisi · 115 citations
Mathematics · Physics and Astronomy · #Algorithm #Astrophysics and Cosmic Phenomena #Combinatorics #Geometry #Mathematics #Mixing (physics) #Neutrino #Neutrino Physics Research #Particle physics #Particle physics theoretical and experimental studies #Physics #Quantum mechanics #Symmetry (geometry) #hep-ph

paper · pdf · doi:10.1103/physrevd.80.096005

published in Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields 80(9) (American Physical Society) · References added, typos corrected and few irrelevant changings

arxiv created 2008/11/12 · openalex publication_date 2009/11/19 · arxiv updated 2010/04/28 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05

Abstract

Group theoretical arguments seem to indicate the discrete symmetry S₄ as the minimal flavor symmetry compatible with tribimaximal neutrino mixing. We prove in a model-independent way that indeed S₄ can realize exact tribimaximal mixing through different symmetry breaking patterns. We present two models in which lepton tribimaximal mixing is realized in different ways and for each one we discuss the superpotential that leads to the correct breaking of the flavor symmetry.

Citations

• Obtaining the neutrino mixing matrix with the tetrahedral group
• S3 symmetry and tri-bimaximal mixing
• Predictive Flavor Symmetries of the Neutrino Mass Matrix
• Status of global fits to neutrino oscillations
• Tri-bimaximal neutrino mixing from orbifolding
• SIMPLE NON-ABELIAN FINITE FLAVOR GROUPS AND FERMION MASSES

Cited by

• Neutrino mass and mixing: from theory to experiment
• PeV scale right-handed neutrino dark matter in anS4flavor-symmetric extra U(1) model
• Lepton mass and mixing in a neutrino mass model based onS4flavor symmetry
• Finite modular groups and lepton mixing
• Relating neutrino masses and mixings by discrete symmetries
• Electron and muon g−2 contributions from the T′ Higgs sector
• Constraining neutrinoless double beta decay
• Sum rules for leptons
• Admixture of quasi-Dirac and Majorana neutrinos with tri-bimaximal mixing
• Neutrino mixing with nonzero θ13 and CP violation in the 3-3-1 model based on S4 flavor symmetry

Related

• Broken SU(3) Flavor Symmetry and Tribimaximal Neutrino Mixing
• Embedding A4 into left–right flavor symmetry: Tribimaximal neutrino mixing and fermion hierarchy
• IsS4the horizontal symmetry of tri-bimaximal lepton mixing?
• Group Theoretic Bases for Tribimaximal Mixing
• A₄ symmetry breaking scheme for understanding quark and lepton mixing angles