Tri-Bimaximal Mixing from Twisted Friedberg-Lee Symmetry

Abstract

We investigate the Friedberg-Lee (FL) symmetry and its promotion to include the $\mu -\tau$ symmetry, and call that the twisted FL symmetry.Based on the twisted FL symmetry, two possible schemes are presented toward the realistic neutrino mass spectrum and the tri-bimaximal mixing.In the first scheme, we suggest the semi-uniform translation of the FL symmetry.The second one is based on the $S_3$ permutation family symmetry.The breaking terms, which are twisted FL symmetric, are introduced.Some viable models in each scheme are also presented.

14 pages, no figure. v2: 16 pages, modified some sentences, appendix added, references added. v3: 14 pages, composition simplified, accepted version in EPJC

References in corpus (13)

• Neutrino tri-bi-maximal mixing from a non-Abelian discrete family symmetry
• Twisted Flavors and Tri/bi-Maximal Neutrino Mixing
• Embedding A4 into left-right flavor symmetry: Tribimaximal neutrino mixing and fermion hierarchy
• Flavor S_4 times Z_2 symmetry and neutrino mixing
• Third Family Corrections to Quark and Lepton Mixing in SUSY Models with non-Abelian Family Symmetry
• Consequences of Approximate $S_3$ Symmetry of the Neutrino Mass Matrix
• Radiatively broken symmetries of nonhierarchical neutrinos
• Group space scan of flavor symmetries for nearly tribimaximal lepton mixing
• Friedberg-Lee Symmetry Breaking and Its Prediction for theta_13
• Tri-bimaximal Mixing from Cascades
• Generalization of Friedberg-Lee Symmetry
• A Possible Relation between the Neutrino Mass Matrix and the Neutrino Mapping Matrix
• Neutrino Mixing: from the Broken μ-τSymmetry to the Broken Friedberg-Lee Symmetry

Cited by in corpus (1)

• Friedberg-Lee symmetry and tri-bimaximal neutrino mixing in the inverse seesaw mechanism