Modular binary octahedral symmetry for flavor structure of Standard Model
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arXiv
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| Main Authors: | , , , |
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| Format: | Preprint |
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2023
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| _version_ | 1866912077132595200 |
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| author | Ding, Gui-Jun Liu, Xiang-Gan Lu, Jun-Nan Weng, Ming-Hua |
| author_facet | Ding, Gui-Jun Liu, Xiang-Gan Lu, Jun-Nan Weng, Ming-Hua |
| contents | 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 masses models based on the modular binary octahedral group $2O$. A comprehensive numerical analysis is performed, and we present some benchmark quark/lepton masses models in well 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. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2307_14926 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Modular binary octahedral symmetry for flavor structure of Standard Model Ding, Gui-Jun Liu, Xiang-Gan Lu, Jun-Nan Weng, Ming-Hua High Energy Physics - Phenomenology High Energy Physics - Theory 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 masses models based on the modular binary octahedral group $2O$. A comprehensive numerical analysis is performed, and we present some benchmark quark/lepton masses models in well 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. |
| title | Modular binary octahedral symmetry for flavor structure of Standard Model |
| topic | High Energy Physics - Phenomenology High Energy Physics - Theory |
| url | https://arxiv.org/abs/2307.14926 |