Neutrino masses and mixing from double covering of finite modular groups

• Main Authors: Xiang-Gan Liu, Gui-Jun Ding
• Format: Article
• Language: English
• Published: SpringerOpen 2019-08-01
• Series: Journal of High Energy Physics
• Subjects: Discrete Symmetries; Neutrino Physics
• Online Access: http://link.springer.com/article/10.1007/JHEP08(2019)134

Abstract 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 Γ N ′ $$ {\Gamma}_N^{\prime } $$ which is the double covering of Γ 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 Γ 3 ′ $$ {\Gamma}_3^{\prime } $$ ≅ 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.