Non-minimal flavored S₃⊗ Z₂ S 3 ⊗ Z 2 left–right symmetric model

2017/01/31 by Juan Carlos Gómez-Izquierdo · 31 citations
Physics and Astronomy · #Degenerate energy levels #Fermion #Lepton #MAJORANA #Mass matrix #Neutrino #Neutrino Physics Research #Neutrino oscillation #Noncommutative and Quantum Gravity Theories #Particle physics theoretical and experimental studies #Standard Model (mathematical formulation) #Symmetry (geometry) #hep-ph

paper · pdf · doi:10.1140/epjc/s10052-017-5094-0

published in The European Physical Journal C 77(8) (Springer Science+Business Media) · Version three. I added references and corrected typos. 19 pages. All figures replaced, section II changed. Analytic study improved. Conclusions unchanged

openalex created_date 2017/01/26 · arxiv created 2017/04/10 · openalex publication_date 2017/08/01 · arxiv updated 2017/09/13 · openalex updated_date 2026/08/05

Abstract

We propose a non-minimal left–right symmetric model with parity symmetry where the fermion mixings arise as a result of imposing an S₃⊗ Z₂ flavor symmetry, and an extra Z^e₂ symmetry is considered in the lepton sector. Then the neutrino mass matrix possesses approximately the μ – τ symmetry. The breaking of the μ – τ symmetry induces sizable non-zero θ ₁₃ , and the deviation of θ ₂₃ from 45^∘ is strongly controlled by an ε free parameter and the neutrino masses. So, an analytic study of the CP parities in the neutrino masses is carried out to constrain the ε parameter and the lightest neutrino mass that accommodate the mixing angles. The results are: (a) the normal hierarchy is ruled out for any values of the Majorana phases; (b) for the inverted hierarchy the values of the reactor and atmospheric angles are compatible up to 2, 3~σ C.L.; (c) the degenerate ordering is the most favorable such that the reactor and atmospheric angle are compatible with the experimental data for a large set of values of the free parameters. The model predicts defined regions for the effective neutrino mass, the neutrino mass scale and the sum of the neutrino masses for the favored cases. Therefore, this model may be testable by the future experiments.

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