Neutrino masses and mixing from double covering of finite modular groups

被引：137

作者：

Liu, Xiang-Gan ^{[1
,2
]}

Ding, Gui-Jun ^{[1
,2
]}

机构：

[1] Univ Sci & Technol China, Interdisciplinary Ctr Theoret Study, Hefei 230026, Anhui, Peoples R China

[2] Univ Sci & Technol China, Dept Modern Phys, Hefei 230026, Anhui, Peoples R China

来源：

JOURNAL OF HIGH ENERGY PHYSICS | 2019年 / 2019卷 / 08期

基金：

中国国家自然科学基金;

关键词：

Discrete Symmetries; Neutrino Physics; CP VIOLATION; MATRICES;

D O I：

10.1007/JHEP08(2019)134

中图分类号：

O412 [相对论、场论]; O572.2 [粒子物理学];

学科分类号：

摘要：

We extend the even weight modular forms of modular invariant approach to general integral weight modular forms. We find that the modular forms of integral weights and level N can be arranged into irreducible representations of the homogeneous finite modular group Gamma '(N) which is the double covering of Gamma(N). The lowest weight 1 modular forms of level 3 are constructed in terms of Dedekind eta-function, and they transform as a doublet of Gamma 3 ' T '. The modular forms of weights 2, 3, 4, 5 and 6 are presented. We build a model of lepton masses and mixing based on T ' modular symmetry.

引用

页数：21