Modular A 4 symmetry models of neutrinos and charged leptons
Abstract We present a comprehensive analysis of neutrino mass and lepton mixing in theories with A 4 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...
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doaj-57767fc86896456db79e5a79f248c0c62020-11-25T03:36:01ZengSpringerOpenJournal of High Energy Physics1029-84792019-09-012019913510.1007/JHEP09(2019)074Modular A 4 symmetry models of neutrinos and charged leptonsGui-Jun Ding0Stephen F. King1Xiang-Gan Liu2Interdisciplinary Center for Theoretical Study and Department of Modern Physics, University of Science and Technology of ChinaPhysics and Astronomy, University of SouthamptonInterdisciplinary Center for Theoretical Study and Department of Modern Physics, University of Science and Technology of ChinaAbstract We present a comprehensive analysis of neutrino mass and lepton mixing in theories with A 4 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 A 4. Unlike previous analyses, we allow right-handed charged leptons to transform as all combinations of 1, 1′ and 1′′ representations of A 4, 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.http://link.springer.com/article/10.1007/JHEP09(2019)074Discrete SymmetriesNeutrino Physics |
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DOAJ |
language |
English |
format |
Article |
sources |
DOAJ |
author |
Gui-Jun Ding Stephen F. King Xiang-Gan Liu |
spellingShingle |
Gui-Jun Ding Stephen F. King Xiang-Gan Liu Modular A 4 symmetry models of neutrinos and charged leptons Journal of High Energy Physics Discrete Symmetries Neutrino Physics |
author_facet |
Gui-Jun Ding Stephen F. King Xiang-Gan Liu |
author_sort |
Gui-Jun Ding |
title |
Modular A 4 symmetry models of neutrinos and charged leptons |
title_short |
Modular A 4 symmetry models of neutrinos and charged leptons |
title_full |
Modular A 4 symmetry models of neutrinos and charged leptons |
title_fullStr |
Modular A 4 symmetry models of neutrinos and charged leptons |
title_full_unstemmed |
Modular A 4 symmetry models of neutrinos and charged leptons |
title_sort |
modular a 4 symmetry models of neutrinos and charged leptons |
publisher |
SpringerOpen |
series |
Journal of High Energy Physics |
issn |
1029-8479 |
publishDate |
2019-09-01 |
description |
Abstract We present a comprehensive analysis of neutrino mass and lepton mixing in theories with A 4 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 A 4. Unlike previous analyses, we allow right-handed charged leptons to transform as all combinations of 1, 1′ and 1′′ representations of A 4, 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. |
topic |
Discrete Symmetries Neutrino Physics |
url |
http://link.springer.com/article/10.1007/JHEP09(2019)074 |
work_keys_str_mv |
AT guijunding modulara4symmetrymodelsofneutrinosandchargedleptons AT stephenfking modulara4symmetrymodelsofneutrinosandchargedleptons AT xiangganliu modulara4symmetrymodelsofneutrinosandchargedleptons |
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