Generalization of Friedberg-Lee Symmetry

Abstract

We study the possible origin of Friedberg-Lee symmetry. First, we propose the generalized Friedberg-Lee symmetry in the potential by including the scalar fields in the field transformations, which can be broken down to the FL symmetry spontaneously. We show that the generalized Friedberg-Lee symmetry allows a typical form of Yukawa couplings, and the realistic neutrino masses and mixings can be generated via see-saw mechanism. If the right-handed neutrinos transform non-trivially under the generalized Friedberg-Lee symmetry, we can have the testable TeV scale see-saw mechanism. Second, we present two models with the $SO(3)\times U(1)$ global flavour symmetry in the lepton sector. After the flavour symmetry breaking, we can obtain the charged lepton masses, and explain the neutrino masses and mixings via see-saw mechanism. Interestingly, the complete neutrino mass matrices are similar to those of the above models with generalized Friedberg-Lee symmetry. So the Friedberg-Lee symmetry is the residual symmetry in the neutrino mass matrix after the $SO(3)\times U(1)$ flavour symmetry breaking.

16 pages, no figure, version published in PRD

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Cited by in corpus (17)

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• The $\mu$-$\tau$ reflection symmetry of Majorana neutrinos
• Theoretical Overview of Neutrino Properties
• Tri-Bimaximal Mixing from Twisted Friedberg-Lee Symmetry
• The Friedberg-Lee Symmetry and Minimal Seesaw Model
• Generic Friedberg-Lee Symmetry of Dirac Neutrinos
• Leptogenesis in a model with Friedberg-Lee symmetry
• Friedberg-Lee symmetry and tri-bimaximal neutrino mixing in the inverse seesaw mechanism
• A modified Friedberg-Lee symmetry for the TM1 neutrino mixing
• Generalized Friedberg-Lee model for CP violation in neutrino physics
• Theoretical Overview on the Flavor Issues of Massive Neutrinos
• Quark Masses and Mixings with Hierarchical Friedberg-Lee Symmetry
• A Light Sterile Neutrino from Friedberg-Lee Symmetry
• The translational $\mu$-$\tau$ reflection symmetry of Majorana neutrinos
• Neutrino mixing matrix and masses from a generalized Friedberg-Lee model
• Generating CP violation from a modified Fridberg-Lee model
• Leptogenesis with Friedberg-Lee Symmetry