论文标题
3HDM
Non-SUSY Lepton Flavor Model with 3HDM
论文作者
论文摘要
我们建议使用$ A_4 $对称性的简单的非苏格米对称性Lepton风味模型。 $ A_4 $组是一个最小的组，其中包括三重态表示。我们介绍了三个Higgs Doublets，它们被分配为$ A_4 $对称的三重态。很自然的是，希格斯田的三代人与标准模型费米子一样。我们研究了潜在的分析，并获得了局部最小值的真空期望值。在真空预期值中，我们获得了带电的Lepton，Dirac Neutrino和右手中微子中微子质量矩阵。通过使用I型SEESAW机制，我们获得了左手的主要中微子质量基质。在NUFIT 5.1数据中，我们预测了唯一的倒数中微子质量层次结构的Dirac CP阶段和主要阶段。特别是，狄拉克CP阶段和Lepton混合角$θ_{23} $密切相关。如果$θ_{23} $是更精确的测量，则Dirac CP阶段的预测更为精确，反之亦然。我们还预测了无中微子双β衰减的有效质量$ m_ {ee} \ simeq 47.1〜 [\ mathrm {mev}] $和最轻的中微子质量$ m_3 \ simeq 0.789 $〜-〜$ 〜-〜 $〜$ 1.43〜 $ 1.43〜 [\ mathrm {mev}] $。在不久的将来的中微子实验中，它可以测试我们的模型。
We propose a simple non-supersymmetric lepton flavor model with $A_4$ symmetry. The $A_4$ group is a minimal one which includes triplet irreducible representation. We introduce three Higgs doublets which are assigned as triplet of the $A_4$ symmetry. It is natural that there are three generations of the Higgs fields as same as the standard model fermions. We study the potential analysis and we get the vacuum expectation values for the local minimum. In the vacuum expectation values, we obtain the charged lepton, Dirac neutrino, and right-handed Majorana neutrino mass matrices. By using type-I seesaw mechanism, we get the left-handed Majorana neutrino mass matrix. In the NuFIT 5.1 data, we predict the Dirac CP phase and the Majorana phases for the only inverted neutrino mass hierarchy. Especially, the Dirac CP phase and lepton mixing angle $θ_{23}$ are strongly correlated. If the $θ_{23}$ is more precise measured, the Dirac CP phase is more precise predicted, and vice versa. We also predict the effective mass for neutrino-less double beta decay $m_{ee}\simeq 47.1~[\mathrm{meV}]$ and the lightest neutrino mass $m_3\simeq 0.789$~-~$1.43~[\mathrm{meV}]$. It is testable for our model in the near future neutrino experiments.
