Modular binary octahedral symmetry for flavor structure of Standard Model
Abstract We have investigated the modular binary octahedral group 2O as a flavor symmetry to explain the structure of Standard Model. The vector-valued modular forms in all irreducible representations of this group are constructed. We have classified all possible fermion mass models based on the mod...
| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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SpringerOpen
2023-11-01
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| Series: | Journal of High Energy Physics |
| Subjects: | |
| Online Access: | https://doi.org/10.1007/JHEP11(2023)083 |
| _version_ | 1797199660419383296 |
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| author | Gui-Jun Ding Xiang-Gan Liu Jun-Nan Lu Ming-Hua Weng |
| author_facet | Gui-Jun Ding Xiang-Gan Liu Jun-Nan Lu Ming-Hua Weng |
| author_sort | Gui-Jun Ding |
| collection | DOAJ |
| description | Abstract We have investigated the modular binary octahedral group 2O as a flavor symmetry to explain the structure of Standard Model. The vector-valued modular forms in all irreducible representations of this group are constructed. We have classified all possible fermion mass models based on the modular binary octahedral group 2O. A comprehensive numerical analysis is performed, and we present some benchmark quark/lepton mass models in good agreement with the experimental data. Notably we find a minimal modular invariant model for leptons and quarks, which is able to explain simultaneously the masses and mixing parameters of both quarks and leptons in terms of 14 real free parameters including the modulus τ. The fermion mass hierarchies around the vicinity of the modular fixed points are explored. |
| first_indexed | 2024-03-10T22:22:59Z |
| format | Article |
| id | doaj.art-269ae9f0e2454f59ae4bfa5d496fee64 |
| institution | Directory Open Access Journal |
| issn | 1029-8479 |
| language | English |
| last_indexed | 2024-04-24T07:19:17Z |
| publishDate | 2023-11-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of High Energy Physics |
| spelling | doaj.art-269ae9f0e2454f59ae4bfa5d496fee642024-04-21T11:05:53ZengSpringerOpenJournal of High Energy Physics1029-84792023-11-0120231114910.1007/JHEP11(2023)083Modular binary octahedral symmetry for flavor structure of Standard ModelGui-Jun Ding0Xiang-Gan Liu1Jun-Nan Lu2Ming-Hua Weng3Department of Modern Physics, University of Science and Technology of ChinaDepartment of Physics and Astronomy, University of CaliforniaDepartment of Modern Physics, University of Science and Technology of ChinaCollege of Physics and Electronic Information Engineering, Minjiang UniversityAbstract We have investigated the modular binary octahedral group 2O as a flavor symmetry to explain the structure of Standard Model. The vector-valued modular forms in all irreducible representations of this group are constructed. We have classified all possible fermion mass models based on the modular binary octahedral group 2O. A comprehensive numerical analysis is performed, and we present some benchmark quark/lepton mass models in good agreement with the experimental data. Notably we find a minimal modular invariant model for leptons and quarks, which is able to explain simultaneously the masses and mixing parameters of both quarks and leptons in terms of 14 real free parameters including the modulus τ. The fermion mass hierarchies around the vicinity of the modular fixed points are explored.https://doi.org/10.1007/JHEP11(2023)083Discrete SymmetriesFlavour SymmetriesSupersymmetryTheories of Flavour |
| spellingShingle | Gui-Jun Ding Xiang-Gan Liu Jun-Nan Lu Ming-Hua Weng Modular binary octahedral symmetry for flavor structure of Standard Model Journal of High Energy Physics Discrete Symmetries Flavour Symmetries Supersymmetry Theories of Flavour |
| title | Modular binary octahedral symmetry for flavor structure of Standard Model |
| title_full | Modular binary octahedral symmetry for flavor structure of Standard Model |
| title_fullStr | Modular binary octahedral symmetry for flavor structure of Standard Model |
| title_full_unstemmed | Modular binary octahedral symmetry for flavor structure of Standard Model |
| title_short | Modular binary octahedral symmetry for flavor structure of Standard Model |
| title_sort | modular binary octahedral symmetry for flavor structure of standard model |
| topic | Discrete Symmetries Flavour Symmetries Supersymmetry Theories of Flavour |
| url | https://doi.org/10.1007/JHEP11(2023)083 |
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