Modular flavor symmetry and vector-valued modular forms

被引:30
作者
Liu, Xiang-Gan [1 ]
Ding, Gui-Jun
机构
[1] Univ Sci & Technol China, Interdisciplinary Ctr Theoret Study, Hefei 230026, Anhui, Peoples R China
基金
中国国家自然科学基金;
关键词
Flavour Symmetries; Neutrino Mixing; Theories of Flavour; NORMAL-SUBGROUPS; INVARIANCE; ORBIFOLD; A(4); CP;
D O I
10.1007/JHEP03(2022)123
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 revisit the modular flavor symmetry from a more general perspective. The scalar modular forms of principal congruence subgroups are extended to the vector-valued modular forms, then we have more possible finite modular groups including Gamma(N) and Gamma'(N) as the flavor symmetry. The theory of vector-valued modular forms provides a method of differential equation to construct the modular multiplets, and it also reveals the simple structure of the modular invariant mass models. We review the theory of vector-valued modular forms and give general results for the lower dimensional vector-valued modular forms. The general finite modular groups are listed up to order 72. We apply the formalism to construct two new lepton mass models based on the finite modular groups A(4) x Z(2) and GL(2, 3).
引用
收藏
页数:41
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