The Friedberg-Lee Symmetry and Minimal Seesaw Model

Abstract

The Friedberg-Lee (FL) symmetry is generated by a transformation of a fermionic field $q$ to $q+\xi z$. This symmetry puts very restrictive constraints on allowed terms in a Lagrangian. Applying this symmetry to $N$ fermionic fields, we find that the number of independent fields is reduced to $N-1$ if the fields have gauge interaction or the transformation is a local one. Using this property, we find that a seesaw model originally with three generations of left- and right-handed neutrinos, with the left-handed neutrinos unaffected but the right-handed neutrinos transformed under the local FL translation, is reduced to an effective theory of minimal seesaw which has only two right-handed neutrinos. The symmetry predicts that one of the light neutrino masses must be zero.

10 pages, no figure, version to appear in PLB

References in corpus (8)

• Phenomenology with Massive Neutrinos
• Neutrino Masses, Lepton Flavor Mixing and Leptogenesis in the Minimal Seesaw Model
• Friedberg-Lee Symmetry Breaking and Its Prediction for theta_13
• Neutrino Sector with Majorana Mass Terms and Friedberg-Lee Symmetry
• Generalization of Friedberg-Lee Symmetry
• Jarlskog Invariant of the Neutrino Mapping Matrix
• Extended Friedberg Lee hidden symmetries, quark masses and CP-violation with four generations
• Generic Friedberg-Lee Symmetry of Dirac Neutrinos

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• Flavor structures of charged fermions and massive neutrinos
• Sterile Neutrinos as the Origin of Dark and Baryonic Matter
• A review of mu-tau flavor symmetry in neutrino physics
• The $\mu$-$\tau$ reflection symmetry of Majorana neutrinos
• A modified Friedberg-Lee symmetry for the TM1 neutrino mixing
• Symmetry, dark matter and LHC phenomenology of the minimal $\nu$SM
• 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
• A Light Sterile Neutrino from Friedberg-Lee Symmetry
• A translational flavor symmetry in the mass terms of Dirac and Majorana fermions
• The translational $\mu$-$\tau$ reflection symmetry of Majorana neutrinos
• Leptogenesis with Friedberg-Lee Symmetry