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

Friedberg-Lee symmetry and tribimaximal neutrino mixing in the inverse seesaw mechanism
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DOI:
10.1103/physrevd.80.073006
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发表时间:
2009-08
期刊:
影响因子:
5
通讯作者:
A. H. Chan;H. Low;Z. Xing
A. H. Chan;H. Low;Z. Xing
中科院分区:
物理与天体物理2区
文献类型:
--
作者:
A. H. Chan;H. Low;Z. Xing

文献摘要

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三对规范单态中微子的反跷跷板机制提供了一个自然的解释,在TeV尺度上的三个活动中微子的微小质量。我们将联合收割机与新提出的Friedberg-Lee(FL)对称性相结合,以理解中微子混合的观测模式。我们表明,FL对称性只需要两对规范单重态中微子的质量,这意味着一个活跃的中微子必须是无质量的。提出了规范单重态中微子区FL对称性破缺和精确$\ensuremath{\mu}\mathrm{\text{\ensuremath{-}\ensuremath{\tau}$对称性的唯象模型,并利用反跷跷板关系得到了三重极大中微子混合斑图.我们证明,非幺正修正这一结果可能会达到百分之一的水平,和软破缺的$\ensuremath{\mu}\mathrm{\text{\ensuremath{-}\ensuremath{\tau}$对称性可以引起$CP$违反在这样一个TeV规模的跷跷板的情况。
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 $\ensuremath{\mu}\mathrm{\text{\ensuremath{-}}}\ensuremath{\tau}$ symmetry in the gauge-singlet neutrino sector, and obtain the tribimaximal neutrino mixing pattern by means of the inverse seesaw relation. We demonstrate that nonunitary corrections to this result can possibly reach the percent level, and a soft breaking of $\ensuremath{\mu}\mathrm{\text{\ensuremath{-}}}\ensuremath{\tau}$ symmetry can give rise to $CP$ violation in such a TeV-scale seesaw scenario.