Generic Friedberg-Lee Symmetry of Dirac Neutrinos

Abstract

We write out the generic Dirac neutrino mass operator which possesses the Friedberg-Lee (FL) symmetry and find that its corresponding neutrino mass matrix is asymmetric. Following a simple way to break the FL symmetry, we calculate the neutrino mass eigenvalues and show that the resultant neutrino mixing pattern is nearly tri-bimaximal. Imposing the Hermitian condition on the neutrino mass matrix, we also show that the simplified ansatz is consistent with current experimental data and favors the normal neutrino mass hierarchy.

arXiv commentRevTex4 10 pages, 1 figure

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Cited by in corpus (11)

• Flavor structures of charged fermions and massive neutrinos
• The $\mu$-$\tau$ reflection symmetry of Majorana neutrinos
• Theoretical Overview of Neutrino Properties
• The Friedberg-Lee Symmetry and Minimal Seesaw Model
• 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
• 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
• Leptogenesis with Friedberg-Lee Symmetry