Neutrino Mixing and Discrete Symmetries
Neutrino Mixing and Discrete Symmetries
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DOI：
10.1103/physrevd.87.033002
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发表时间：
2012-12
影响因子：
5
通讯作者：
Bo Hu
中科院分区：
文献类型：
--
作者：
Bo Hu
在本文中，我们讨论了一种推导中微子混合模式的新方法，它起源于Hernandez和Smirnov在最近的一篇文章中提出的想法。讨论了它在各种情况下的应用。我们首先给出了马约拉纳中微子和左荷轻子质量矩阵的未破缺剩余对称性服从一些一般假设的最小情况下可能的混合模式的完整集合，这些假设也被许多基于离散对称性的模型所满足。我们发现它们要么是众所周知的混合模式，要么是现象学上不受欢迎的混合模式。它清楚地表明，为了使完全混合矩阵以很小或可以忽略不计的修正来拟合混合数据，有必要超越最小情景。我们给出了一个相当一般的非极小情况的显式形式。讨论了一些应用和现象学意义。导出了几种新的混合模式。
In this paper we discuss a new way to derive neutrino mixing patterns, which originates from the idea proposed in a recent article by Hernandez and Smirnov. Its applications to various cases are discussed. We first present the complete set of possible mixing patterns for the minimal case where unbroken residual symmetries of the Majorana neutrino and left-handed charged-lepton mass matrices obey some general assumptions that are also satisfied by many models based on discrete symmetries. We find that they are either well-known mixing patterns or phenomenologically disfavored ones. It shows clearly that, for full-mixing matrices to fit the mixing data with small or negligible corrections, it is necessary to go beyond the minimal scenario. We present an explicit formalism for a rather general nonminimal case. Some applications and phenomenological implications are discussed. Several new mixing patterns are derived.