论文标题
模块化$ a_4 $对称与三型和风味问题
Modular $A_4$ Symmetry With Three-Moduli and Flavor Problem
论文作者
论文摘要
研究了模块化$ A_4 $对称与三个模量的对称。我们将不同的模量分配给带电的瘦小，中微子和夸克。我们在存在残留对称性的固定点上分析了这些模量。我们考虑了右撇子中微子的两种可能性。首先，假定它们是模块化对称性下的单元。在这种情况下，我们表明可以与实验观察结果一致地获得Lepton质量和混合。其次，在模块化对称性下，它们被非平整分配。我们强调，在这种情况下，需要一个小偏离固定点。最后，在模量的固定点附近正确生成夸克质量和混合。在我们的分析中，我们仅考虑重量2的简单情况。
The modular $A_4$ symmetry with three moduli is investigated. We assign different moduli to charged leptons, neutrinos, and quarks. We analyze these moduli at their fixed points where a residual symmetry exists. We consider two possibilities for right-handed neutrinos. First, they are assumed to be singlets under modular symmetry. In this case, we show that the lepton masses and mixing can be obtained consistently with experimental observations. Second, they are assigned non-trivially under modular symmetry. We emphasize that a small deviation from their fixed point is required in this case. Finally, the quark masses and mixing are generated correctly around the fixed point of their modulus. In our analysis, we only consider the simple case of weight 2.
