论文标题
模块化$ a^{} _ 5 $ group和Lepton风味混合的双重覆盖
Double Covering of the Modular $A^{}_5$ Group and Lepton Flavor Mixing in the Minimal Seesaw Model
论文作者
论文摘要
在本文中，我们研究了模块化$γ^{} _ 5 \ simeq a^{} _ 5 $组的双重覆盖，并首次得出所有模块化的重量形式。还可以通过分解重量一体形式的直接产物来明确给出较高权重的模块化形式。对于双重覆盖组$γ^\ prime_5 \ simeq a^\ prime_5 $，存在两个不相等的二维不可减少表示形式，我们可以在最小的Seesaw模型中分配两个右手的中微子单词。已经构建了两个具有如此突出特征的混凝土模型，以成功解释Lepton质谱和风味混合模式。这两个最小情况的允许参数空间已经进行了数值探索，并通过一些合理的假设进行了分析研究。
In this paper, we investigate the double covering of modular $Γ^{}_5 \simeq A^{}_5$ group and derive all the modular forms of weight one for the first time. The modular forms of higher weights are also explicitly given by decomposing the direct products of weight-one forms. For the double covering group $Γ^\prime_5 \simeq A^\prime_5$, there exist two inequivalent two-dimensional irreducible representations, into which we can assign two right-handed neutrino singlets in the minimal seesaw model. Two concrete models with such a salient feature have been constructed to successfully explain lepton mass spectra and flavor mixing pattern. The allowed parameter space for these two minimal scenarios has been numerically explored, and analytically studied with some reasonable assumptions.
