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arXiv · 0908.0822

Friedberg-Lee symmetry and tri-bimaximal neutrino mixing in the inverse seesaw mechanism

Aik Hui Chan·Hwee Boon Low·Zhi-zhong Xing
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Abstract

The inverse seesaw mechanism with three pairs of gauge-singlet neutrinos offers a natural interpretation of the tiny masses of three active neutrinos at the TeV scale. We combine this picture with the newly-proposed Friedberg-Lee (FL) symmetry in order to understand the observed pattern of neutrino mixing. We show that the FL symmetry requires only two pairs of the gauge-singlet neutrinos to be massive, implying that one active neutrino must be massless. We propose a phenomenological ansatz with broken FL symmetry and exact μ-τsymmetry in the gauge-singlet neutrino sector and obtain the tri-bimaximal neutrino mixing pattern by means of the inverse seesaw relation. We demonstrate that non-unitary corrections to this result are possible to reach the percent level and a soft breaking of μ-τsymmetry can give rise to CP violation in such a TeV-scale seesaw scenario.

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Aik Hui Chan, Hwee Boon Low, Zhi-zhong Xing. 2009-09-23. Friedberg-Lee symmetry and tri-bimaximal neutrino mixing in the inverse seesaw mechanism. https://doi.org/10.1103/physrevd.80.073006

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