Modular A4 symmetry models of neutrinos and charged leptons

Journal of High Energy Physics

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[1] 0000 0004 1936 9297, grid.5491.9, Physics and Astronomy, University of Southampton, SO17 1BJ, Southampton, U.K.;0000000121679639, grid.59053.3a, Interdisciplinary Center for Theoretical Study and Department of Modern Physics, University of Science and Technology of China, 230026, Hefei, Anhui, China;

关键词: Discrete Symmetries;    Neutrino Physics;   

DOI  :  10.1007/JHEP09(2019)074

来源: publisher

【 摘 要 】

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.

【 授权许可】

Unknown