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

References in corpus (9)

• Right-Handed Neutrinos at LHC and the Mechanism of Neutrino Mass Generation
• Symmetry of Lepton Mixing
• Probing seesaw at LHC
• Correlation between the Charged Current Interactions of Light and Heavy Majorana Neutrinos
• Testing non-unitarity of neutrino mixing matrices at neutrino factories
• Friedberg-Lee Symmetry Breaking and Its Prediction for theta_13
• Hidden Symmetry of the CKM and Neutrino Mapping Matrices
• Neutrino Sector with Majorana Mass Terms and Friedberg-Lee Symmetry
• Jarlskog Invariant of the Neutrino Mapping Matrix

Cited by in corpus (4)

• Theoretical Overview of Neutrino Properties
• Leptogenesis in a model with Friedberg-Lee symmetry
• Generic Friedberg-Lee Symmetry of Dirac Neutrinos
• Friedberg-Lee symmetry and tri-bimaximal neutrino mixing in the inverse seesaw mechanism