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Lepton flavor mixing and CP violation in the minimal type-(I+II) seesaw model with a modular A4 symmetry
Nuclear Physics B ( IF 2.8 ) Pub Date : 2020-07-03 , DOI: 10.1016/j.nuclphysb.2020.115105
Xin Wang

In this paper, we study the implications of the modular A4 flavor symmetry in constructing a supersymmetric minimal type-(I+II) seesaw model, in which only one right-handed neutrino and two Higgs triplets are introduced to account for the tiny neutrino masses, flavor mixing and CP violation. We consider the most economical case where the right-handed neutrino and the Higgs triplets in this model are assigned into the trivial one-dimensional irreducible representation of the modular group A4, and all the modular forms are with the lowest weights they can take. We find that the octant of the mixing angle θ23 strongly depends on the hierarchy of free model parameters in the charged-lepton sector. We also show that the neutrino mass matrix can possess an approximate μτ reflection symmetry for some specific values of free parameters. Moreover, our model predicts relatively large masses of three light neutrinos, thus can be easily tested in future neutrino experiments.



中文翻译:

在具有模块化A 4对称性的最小类型(I + II)跷跷板模型中出现轻子风味混合和CP违规

在本文中,我们研究了模块化的含义 一种4对称性在构建超对称最小类型(I + II)跷跷板模型中,其中仅引入一个右手中微子和两个希格斯三胞胎,以解决微小的中微子质量,风味混合和CP违规问题。我们考虑最经济的情况,该模型中的右手中微子和希格斯三胞胎被分配给模块组的平凡一维不可约表示一种4,并且所有模块化形式的重量都可以降低。我们发现混合角的八分圆θ23在很大程度上取决于带电轻子扇区中自由模型参数的层次。我们还表明,中微子质量矩阵可以具有一个近似值μ-τ自由参数的某些特定值的反射对称性。此外,我们的模型预测了三个轻中微子的质量相对较大,因此可以在未来的中微子实验中轻松进行测试。

更新日期:2020-07-13
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