Tri-bimaximal neutrino mixing and the family symmetry Z 7 ⋊Z 3
Tri-bimaximal neutrino mixing and the family symmetry Z 7 ⋊Z 3
复制标题
三双极大中微子混合和族对称性 Z 7 ⋊Z 3
DOI：
10.1016/j.physletb.2007.06.059
复制
发表时间：
2007
影响因子：
4.4
通讯作者：
P. Ramond
中科院分区：
文献类型：
--
作者：
C. Luhn;S. Nasri;P. Ramond
非阿贝尔有限群PSL 2（7）是SU（3）中唯一具有复三维不可约表示的单群。它有两个最大子群，S4沿着它自己的A4子群，已经成功地应用于许多风味模型中，还有21个元素的Frobenius群Z7 <$Z3，它得到的关注要少得多。我们表明，它也可以用来产生三双峰混合的中微子部门，同时允许夸克和带电轻子层次。
The non-Abelian finite group PSL2(7) is the only simple subgroup of SU(3) with a complex three-dimensional irreducible representation. It has two maximal subgroups, S4which, along with its own A4subgroup, has been successfully applied in numerous models of flavor, as well as the 21 element Frobenius group Z7⋊Z3, which has gained much less attention. We show that it can also be used to generate tri-bimaximal mixing in the neutrino sector, while allowing for quark and charged lepton hierarchies.