Journal of High Energy Physics

, 2019:74 | Cite as

Modular A4 symmetry models of neutrinos and charged leptons

  • Gui-Jun DingEmail author
  • Stephen F. King
  • Xiang-Gan Liu
Open Access
Regular Article - Theoretical Physics


We present a comprehensive analysis of neutrino mass and lepton mixing in theories with A4 modular symmetry, where the only flavon field is the single modulus field τ, and all masses and Yukawa couplings are modular forms. Similar to previous analyses, we discuss all the simplest neutrino sectors arising from both the Weinberg operator and the type I seesaw mechanism, with lepton doublets and right-handed neutrinos assumed to be triplets of A4. Unlike previous analyses, we allow right-handed charged leptons to transform as all combinations of 1, 1′ and 1′′ representations of A4, using the simplest different modular weights to break the degeneracy, leading to ten different charged lepton Yukawa matrices, instead of the usual one. This implies ten different Weinberg models and thirty different type I seesaw models, which we analyse in detail. We find that fourteen models for both NO and IO neutrino mass ordering can accommodate the data, as compared to one in previous analyses, providing many new possibilities.


Discrete Symmetries Neutrino Physics 


Open Access

This article is distributed under the terms of the Creative Commons Attribution License (CC-BY 4.0), which permits any use, distribution and reproduction in any medium, provided the original author(s) and source are credited


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Copyright information

© The Author(s) 2019

Authors and Affiliations

  1. 1.Interdisciplinary Center for Theoretical Study and Department of Modern PhysicsUniversity of Science and Technology of ChinaHefeiChina
  2. 2.Physics and AstronomyUniversity of SouthamptonSouthamptonU.K.

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