Non-holomorphic modular flavor symmetry
Abstract The formalism of non-holomorphic modular flavor symmetry is developed, and the Yukawa couplings are level N polyharmonic Maaß forms satisfying the Laplacian condition. We find that the integer (even) weight polyharmonic Maaß forms of level N can be decomposed into multiplets of the finite m...
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SpringerOpen
2024-08-01
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| Series: | Journal of High Energy Physics |
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| Online Access: | https://doi.org/10.1007/JHEP08(2024)136 |
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| author | Bu-Yao Qu Gui-Jun Ding |
| author_facet | Bu-Yao Qu Gui-Jun Ding |
| author_sort | Bu-Yao Qu |
| collection | DOAJ |
| description | Abstract The formalism of non-holomorphic modular flavor symmetry is developed, and the Yukawa couplings are level N polyharmonic Maaß forms satisfying the Laplacian condition. We find that the integer (even) weight polyharmonic Maaß forms of level N can be decomposed into multiplets of the finite modular group Γ N ′ $$ {\Gamma}_N^{\prime } $$ (Γ N ). The original modular invariance approach is extended by the presence of negative weight polyharmonic Maaß forms. The non-holomorphic modular flavor symmetry can be consistently combined with the generalized CP symmetry. We present three example models for lepton sector based on the Γ3 ≅ A 4 modular symmetry, the charged lepton masses and the neutrino oscillation data can be accommodated very well, and the predictions for the leptonic CP violation phases and the effective Majorana neutrino mass are studied. |
| format | Article |
| id | doaj-art-e8baffe43e9a4edba0fcc2bb1864fe06 |
| institution | Kabale University |
| issn | 1029-8479 |
| language | English |
| publishDate | 2024-08-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of High Energy Physics |
| spelling | doaj-art-e8baffe43e9a4edba0fcc2bb1864fe062024-11-24T12:07:48ZengSpringerOpenJournal of High Energy Physics1029-84792024-08-012024815010.1007/JHEP08(2024)136Non-holomorphic modular flavor symmetryBu-Yao Qu0Gui-Jun Ding1Department of Modern Physics, University of Science and Technology of ChinaDepartment of Modern Physics, University of Science and Technology of ChinaAbstract The formalism of non-holomorphic modular flavor symmetry is developed, and the Yukawa couplings are level N polyharmonic Maaß forms satisfying the Laplacian condition. We find that the integer (even) weight polyharmonic Maaß forms of level N can be decomposed into multiplets of the finite modular group Γ N ′ $$ {\Gamma}_N^{\prime } $$ (Γ N ). The original modular invariance approach is extended by the presence of negative weight polyharmonic Maaß forms. The non-holomorphic modular flavor symmetry can be consistently combined with the generalized CP symmetry. We present three example models for lepton sector based on the Γ3 ≅ A 4 modular symmetry, the charged lepton masses and the neutrino oscillation data can be accommodated very well, and the predictions for the leptonic CP violation phases and the effective Majorana neutrino mass are studied.https://doi.org/10.1007/JHEP08(2024)136Flavour SymmetriesNeutrino MixingTheories of Flavour |
| spellingShingle | Bu-Yao Qu Gui-Jun Ding Non-holomorphic modular flavor symmetry Journal of High Energy Physics Flavour Symmetries Neutrino Mixing Theories of Flavour |
| title | Non-holomorphic modular flavor symmetry |
| title_full | Non-holomorphic modular flavor symmetry |
| title_fullStr | Non-holomorphic modular flavor symmetry |
| title_full_unstemmed | Non-holomorphic modular flavor symmetry |
| title_short | Non-holomorphic modular flavor symmetry |
| title_sort | non holomorphic modular flavor symmetry |
| topic | Flavour Symmetries Neutrino Mixing Theories of Flavour |
| url | https://doi.org/10.1007/JHEP08(2024)136 |
| work_keys_str_mv | AT buyaoqu nonholomorphicmodularflavorsymmetry AT guijunding nonholomorphicmodularflavorsymmetry |