Lepton Mixing Patterns from a Scan of Finite Discrete Groups
Lepton Mixing Patterns from a Scan of Finite Discrete Groups
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DOI：
10.1016/j.physletb.2013.02.047
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发表时间：
2012-12
影响因子：
4.4
通讯作者：
M. Holthausen;Kher Sham Lim;M. Lindner
中科院分区：
文献类型：
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作者：
M. Holthausen;Kher Sham Lim;M. Lindner
最近发现的混合角 θ13 的非零值已经排除了三双极大混合作为由某些离散风味对称性生成的正确轻子混合模式的可能性（除非在具体模型中进行大的次前序校正）。在这项工作中，我们假设中微子是马约拉纳粒子，并对阶数小于 1536 的所有有限离散群进行一般扫描，以获得它们对轻子混合角的预测。令我们惊讶的是，对超过 100 万组的扫描仅产生 3 个有趣的组，这些组给出的轻子混合模式位于当前最佳全局拟合值的 3-sigma 范围内。讨论了对此类群体进行分类的系统方法以及对风味对称性的影响。
The recent discovery of a non-zero value of the mixing angle θ13has ruled out tri-bimaximal mixing as the correct lepton mixing pattern generated by some discrete flavor symmetry (barring large next-to-leading order corrections in concrete models). In this work we assume that neutrinos are Majorana particles and perform a general scan of all finite discrete groups with order less than 1536 to obtain their predictions for lepton mixing angles. To our surprise, the scan of over one million groups only yields 3 interesting groups that give lepton mixing patterns which lie within 3-sigma of the current best global fit values. A systematic way to categorize such groups and the implications for flavor symmetry are discussed.