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

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Cited by in corpus (13)

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• The $\mu$-$\tau$ reflection symmetry of Majorana neutrinos
• Deviations from Tri-Bimaximality and Quark-Lepton Complementarity
• Minimal modifications to the Tri-Bimaximal neutrino mixing
• Friedberg-Lee symmetry and tri-bimaximal neutrino mixing in the inverse seesaw mechanism
• mu-tau symmetry in Zee-Babu model
• A modified Friedberg-Lee symmetry for the TM1 neutrino mixing
• Phenomenological implications of the Friedberg-Lee transformation in a neutrino mass model with $\mu \tau$-flavored CP symmetry
• Quark Masses and Mixings with Hierarchical Friedberg-Lee Symmetry
• The translational $\mu$-$\tau$ reflection symmetry of Majorana neutrinos
• A Light Sterile Neutrino from Friedberg-Lee Symmetry
• Cascade Textures and SUSY SO(10) GUT
• Leptogenesis with Friedberg-Lee Symmetry