Golden ratio neutrino mixing and A5 flavor symmetry
Golden ratio neutrino mixing and A5 flavor symmetry
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DOI：
10.1016/j.nuclphysb.2011.12.004
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发表时间：
2011-10
期刊：
影响因子：
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通讯作者：
Gui-Jun Ding;L. Everett;Alexander J. Stuart
中科院分区：
文献类型：
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作者：
Gui-Jun Ding;L. Everett;Alexander J. Stuart
我们提供了一个系统的和彻底的探索轻子味模型，其中太阳混合角与黄金分割率。对于太阳混合角由黄金分割比的余切反比给出的情况，我们证明了A5是最小的非阿贝尔有限群，它包含了执行这种特定轻子混合模式所需的所有对称性。在此背景下，我们提出了两个轻子味模型，产生这种混合模式，通过打破A5在领先的顺序克莱因四子群的中微子部门。这两个模型都有轻子二重态和带电轻子单线态的三重态嵌入。在带电轻子扇区中，第一种模型的剩余对称性为Z_5，而第二种模型的剩余对称性为A_5。对于第二个模型，反应堆混合角在领先阶为零，并在次领先阶Cabibbo角的平方的顺序，这是允许的当前轻子数据的全球分析。
We provide a systematic and thorough exploration of lepton flavor models in which the solar mixing angle is related to the golden ratio. For scenarios in which the solar mixing angle is given by the inverse cotangent of the golden ratio, we demonstrate that A5is the smallest non-Abelian finite group that contains all of the symmetries necessary to enforce this specific lepton mixing pattern. Within this context, we propose two lepton flavor models that yield this mixing pattern through the breaking of A5at leading order to the Klein four subgroup in the neutrino sector. Both models have triplet embeddings of the lepton doublets as well as the charged lepton singlets. In the charged lepton sector, the residual symmetry is Z5in the first model, while in the second model, A5is broken completely at leading order. For the second model, the reactor mixing angle vanishes at leading order and is of the order of the square of the Cabibbo angle at next-to-leading order, which is allowed by the global analysis of current lepton data.