论文标题
来自模块化对称性的费米昂质量层次结构
Fermion Mass Hierarchies from Modular Symmetry
论文作者
论文摘要
我们展示了如何在模块化对称的框架中复制夸克和轻子质量层次结构。该机制类似于Froggatt-Nielsen（FN）机制，但不需要引入任何Abelian对称性，也没有任何标准模型（SM）Singlet Flavon将其打破。费米昂田地的模块化权重起着FN电荷的作用，而称为重物的非零模块化重量的SM单元字段则扮演着黄体的作用。我们通过单个模量字段分析夸克和Lepton（包括中微子）的质量和混合的$ A_4 $（模块化级别3）模型来说明机制。我们在数字和分析上进行了一些详细讨论的示例，以表明从模块化对称性的不同方面出现费米亚质量和混合层次结构。
We show how quark and lepton mass hierarchies can be reproduced in the framework of modular symmetry. The mechanism is analogous to the Froggatt-Nielsen (FN) mechanism, but without requiring any Abelian symmetry to be introduced, nor any Standard Model (SM) singlet flavon to break it. The modular weights of fermion fields play the role of FN charges, and SM singlet fields with non-zero modular weight called weightons play the role of flavons. We illustrate the mechanism by analysing $A_4$ (modular level 3) models of quark and lepton (including neutrino) masses and mixing, with a single modulus field. We discuss two examples in some detail, both numerically and analytically, showing how both fermion mass and mixing hierarchies emerge from different aspects of the modular symmetry.
