Realizing tri-bimaximal mixing in minimal seesaw model with S4 family symmetry

2011/06/26 by Zhen-hua Zhao
Mathematics · Physics and Astronomy · #Astrophysics and Cosmic Phenomena #Context (archaeology) #Geometry #Leptogenesis #Lepton #Mass matrix #Mathematics #Neutrino #Neutrino Physics Research #Neutrino oscillation #Particle physics #Particle physics theoretical and experimental studies #Physics #Pontecorvo–Maki–Nakagawa–Sakata matrix #Quantum mechanics #Scalar (mathematics) #Seesaw mechanism #Seesaw molecular geometry #Sterile neutrino #Symmetry (geometry) #hep-ph

paper · pdf · doi:10.1016/j.physletb.2011.06.050

published as Phys.Lett.B701:609-613,2011 · 11 pages, accepted for publication in PLB

openalex publication_date 2011/06/26 · arxiv created 2011/07/05 · arxiv updated 2011/11/09 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

In this paper, we realize the tri-bimaximal mixing in the lepton sector in the context of minimal seesaw in which only two right-handed neutrinos are introduced, with the discrete group S4 as the family symmetry. In order to constrain the form of superpotential, a Z3 symmetry is also introduced. In the model, the mass matrices for charged leptons and right-handed neutrinos are diagonal. The unitary matrix that diagonalizes the light Majorana neutrino mass matrix is exact tri-bimaximal at LO, and is corrected by small quantities of O(0.01) at NLO. The mechanism to get the particular scalar VEV alignments used is also presented. Phenomenologically, the mass spectrum is of normal hierarchy with m₁=0, and ∑ m_i and |m_ee| are about 0.058 eV and 0.003 eV respectively.

Citations

• Status of Tri/Bi-Maximal Neutrino Mixing
• Symmetries and generalisations of tri-bimaximal neutrino mixing
• Admixture of quasi-Dirac and Majorana neutrinos with tri-bimaximal mixing
• Fermion masses and mixings in a S4 based model
• Phenomenology of a Supersymmetric Model for Fermion Mass Hierarchy
• Nearly tri-bimaximal neutrino mixing and CP violation
• Common origin ofμ−τandCPbreaking in the neutrino seesaw, baryon asymmetry, and hidden flavor symmetry
• Right unitarity triangles and tri-bimaximal mixing from discrete symmetries and unification
• Evidence for neutrino oscillations from the observation ofν¯eappearance in aν¯μbeam
• Status of the GERDA experiment aimed to search for neutrinoless double beta decay of 76Ge
• SUSY adjoint SU(5) grand unified model with S4 flavor symmetry