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.

RevTex4 10 pages, 1 figure

References in corpus (8)

• Friedberg-Lee Symmetry Breaking and Its Prediction for theta_13
• Hidden Symmetry of the CKM and Neutrino Mapping Matrices
• Neutrino Mixing and Leptogenesis in Type-II Seesaw Scenarios with Left-Right Symmetry
• Neutrino Sector with Majorana Mass Terms and Friedberg-Lee Symmetry
• Generalization of Friedberg-Lee Symmetry
• Jarlskog Invariant of the Neutrino Mapping Matrix
• Neutrino Mixing: from the Broken μ-τSymmetry to the Broken Friedberg-Lee Symmetry
• Generalized Friedberg-Lee model for neutrino masses and leptonic CP violation from mu-tau symmetry breaking

Cited by in corpus (6)

• The $\mu$-$\tau$ reflection symmetry of Majorana neutrinos
• Theoretical Overview of Neutrino Properties
• Leptogenesis in a model with Friedberg-Lee symmetry
• Friedberg-Lee symmetry and tri-bimaximal neutrino mixing in the inverse seesaw mechanism
• Theoretical Overview on the Flavor Issues of Massive Neutrinos
• Leptogenesis with Friedberg-Lee Symmetry