Nearly tri-bimaximal neutrino mixing and CP violation from μ–τ symmetry breaking

2006/07/31 by Zhi‐zhong Xing, Zhi-zhong Xing, He Zhang +1 · 4 citations
Physics and Astronomy · #Astrophysics and Cosmic Phenomena #CP violation #Dirac (video compression format) #MAJORANA #Mass matrix #Mixing (physics) #Neutrino #Neutrino Physics Research #Neutrino oscillation #Particle physics #Particle physics theoretical and experimental studies #Physics #Pontecorvo–Maki–Nakagawa–Sakata matrix #Quantum mechanics #Sterile neutrino #hep-ph

paper · pdf · doi:10.1016/j.physletb.2006.08.045

published as Phys.Lett.B641:189-197,2006 · REVTeX 16 pages, 8 PS figures. A numerical error in FIG.1 removed; the parameter space of Majorana phases in Scenario (B) plotted; more discussions added; figures and references updated

arxiv created 2006/08/14 · openalex publication_date 2006/09/01 · arxiv updated 2014/11/17 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05

Abstract

Assuming the Majorana nature of massive neutrinos, we generalize the Friedberg-Lee neutrino mass model to include CP violation in the neutrino mass matrix M_ν. We show that a favorable neutrino mixing pattern (with θ₁₂ ≈ 35.3^∘, θ₂₃ = 45^∘, θ₁₃ ≠ 0^∘ and δ= 90^∘) can naturally be derived from M_ν, if it has an approximate or softly-broken μ-τ symmetry. We point out a different way to obtain the nearly tri-bimaximal neutrino mixing with δ= 0^∘ and non-vanishing Majorana phases. The most general case, in which all the free parameters of M_ν are complex and the resultant neutrino mixing matrix contains both Dirac and Majorana phases of CP violation, is also discussed.

Citations

• FLAVOR MIXING AND CP VIOLATION OF MASSIVE NEUTRINOS
• Obtaining the neutrino mixing matrix with the tetrahedral group
• Determination of neutrino mass texture for maximal CP violation
• Symmetries and generalisations of tri-bimaximal neutrino mixing
• Direct Evidence for Neutrino Flavor Transformation from Neutral-Current Interactions in the Sudbury Neutrino Observatory
• Tribimaximal mixing, discrete family symmetries, and a conjecture connecting the quark and lepton mixing matrices
• Nearly tri-bimaximal neutrino mixing and CP violation
• Commutator of the Quark Mass Matrices in the Standard Electroweak Model and a Measure of MaximalCPNonconservation
• A4flavour symmetry breaking scheme for understanding quark and neutrino mixing angles

Cited by

• μ–τ symmetry in Zee–Babu model
• Neutrino Mass and Flavour Models
• Tri-bimaximal neutrino mixing and θ13
• A4 Family Symmetry from SU(5) SUSY GUTs in 6d
• Neutrino mixing and leptogenesis inμ−τsymmetry