Tri-Bimaximal Neutrino Mixing and the $T_{13}$ Flavor Symmetry

Tri-Bimaximal Neutrino Mixing and the $T_{13}$ Flavor Symmetry
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DOI:
10.1016/j.nuclphysb.2011.08.012
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发表时间:
2011-05
期刊:
Nuclear Physics
影响因子:
--
通讯作者:
Gui-Jun Ding
Gui-Jun Ding
中科院分区:
其他
文献类型:
--
作者:
Gui-Jun Ding

文献摘要

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我们提出了三双极中微子混合的超对称T13模型,完整的风味群为T13×Z4×Z2。在主序处,带电轻子扇区的剩余对称性为 Z3,而中微子扇区中的 T13 对称性被完全破缺。带电轻子质量等级是由味道对称性的自发破缺决定的,I 型拉锯机制和温伯格算子都有助于产生轻中微子质量。三双极大混合在主阶上是精确的,而次主贡献则引入了对三个轻子混合角的阶次 λc2 的校正。详细研究了真空对准和超导修正,可以在带电轻子和中微子扇区中的黄酮场的真空期望值之间容纳一个适度的阶数λc。
We present a supersymmetric T13model for the tri-bimaximal neutrino mixing, and the complete flavor group is T13×Z4×Z2. At leading order, the residual symmetry of the charged lepton sector is Z3, and the T13symmetry is broken completely in the neutrino sector. The charged lepton mass hierarchies are determined by the spontaneous breaking of the flavor symmetry, both the type I see-saw mechanism and the Weinberg operator contribute to generating the light neutrino masses. Tri-bimaximal mixing is exact at leading order while subleading contributions introduce corrections of order λc2to the three lepton mixing angles. The vacuum alignment and subleading corrections are studied in detail, a moderate hierarchy of order λcbetween the vacuum expectation values of the flavon fields in the charged lepton and neutrino sectors can be accommodated.