Non-holomorphic modular A 5 symmetry for lepton masses and mixing
Abstract We perform a comprehensive bottom-up study of all the simplest lepton models based on non-holomorphic A 5 modular flavor symmetry, in which neutrinos are assumed to be Majorana particles and their masses are generated by the Weinberg operator or the type I seesaw mechanism. In the case that...
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2024-12-01
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Online Access: | https://doi.org/10.1007/JHEP12(2024)189 |
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author | Cai-Chang Li Jun-Nan Lu Gui-Jun Ding |
author_facet | Cai-Chang Li Jun-Nan Lu Gui-Jun Ding |
author_sort | Cai-Chang Li |
collection | DOAJ |
description | Abstract We perform a comprehensive bottom-up study of all the simplest lepton models based on non-holomorphic A 5 modular flavor symmetry, in which neutrinos are assumed to be Majorana particles and their masses are generated by the Weinberg operator or the type I seesaw mechanism. In the case that the generalized CP (gCP) symmetry is not considered, we find that 21 Weinberg operator models and 174 seesaw models can accommodate the experimental data in lepton sector, and all of them depend on six dimensionless free parameters and two overall scales. If gCP symmetry compatible with A 5 modular symmetry is imposed, one more free parameter would be reduced. Then only 4 of the 21 Weinberg operator models and 100 of the 174 seesaw models agree with the experimental data on lepton masses and mixing parameters. Furthermore, we perform a detailed numerical analysis for two example models for illustration. |
format | Article |
id | doaj-art-cde19e141fe84f1e9633d30d80602663 |
institution | Kabale University |
issn | 1029-8479 |
language | English |
publishDate | 2024-12-01 |
publisher | SpringerOpen |
record_format | Article |
series | Journal of High Energy Physics |
spelling | doaj-art-cde19e141fe84f1e9633d30d806026632025-01-05T12:05:46ZengSpringerOpenJournal of High Energy Physics1029-84792024-12-0120241214310.1007/JHEP12(2024)189Non-holomorphic modular A 5 symmetry for lepton masses and mixingCai-Chang Li0Jun-Nan Lu1Gui-Jun Ding2School of Physics, Northwest UniversityDepartment of Modern Physics and Anhui Center for fundamental sciences in theoretical physics, University of Science and Technology of ChinaDepartment of Modern Physics and Anhui Center for fundamental sciences in theoretical physics, University of Science and Technology of ChinaAbstract We perform a comprehensive bottom-up study of all the simplest lepton models based on non-holomorphic A 5 modular flavor symmetry, in which neutrinos are assumed to be Majorana particles and their masses are generated by the Weinberg operator or the type I seesaw mechanism. In the case that the generalized CP (gCP) symmetry is not considered, we find that 21 Weinberg operator models and 174 seesaw models can accommodate the experimental data in lepton sector, and all of them depend on six dimensionless free parameters and two overall scales. If gCP symmetry compatible with A 5 modular symmetry is imposed, one more free parameter would be reduced. Then only 4 of the 21 Weinberg operator models and 100 of the 174 seesaw models agree with the experimental data on lepton masses and mixing parameters. Furthermore, we perform a detailed numerical analysis for two example models for illustration.https://doi.org/10.1007/JHEP12(2024)189CP ViolationDiscrete SymmetriesFlavour SymmetriesNeutrino Mixing |
spellingShingle | Cai-Chang Li Jun-Nan Lu Gui-Jun Ding Non-holomorphic modular A 5 symmetry for lepton masses and mixing Journal of High Energy Physics CP Violation Discrete Symmetries Flavour Symmetries Neutrino Mixing |
title | Non-holomorphic modular A 5 symmetry for lepton masses and mixing |
title_full | Non-holomorphic modular A 5 symmetry for lepton masses and mixing |
title_fullStr | Non-holomorphic modular A 5 symmetry for lepton masses and mixing |
title_full_unstemmed | Non-holomorphic modular A 5 symmetry for lepton masses and mixing |
title_short | Non-holomorphic modular A 5 symmetry for lepton masses and mixing |
title_sort | non holomorphic modular a 5 symmetry for lepton masses and mixing |
topic | CP Violation Discrete Symmetries Flavour Symmetries Neutrino Mixing |
url | https://doi.org/10.1007/JHEP12(2024)189 |
work_keys_str_mv | AT caichangli nonholomorphicmodulara5symmetryforleptonmassesandmixing AT junnanlu nonholomorphicmodulara5symmetryforleptonmassesandmixing AT guijunding nonholomorphicmodulara5symmetryforleptonmassesandmixing |