Minimal eclectic flavor group $Q_{8}\rtimes S_3$ and neutrino mixing
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| Auteurs principaux: | , , |
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| Format: | Preprint |
| Publié: |
2024
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| _version_ | 1866909418755457024 |
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| author | Li, Cai-Chang Lu, Jun-Nan Ding, Gui-Jun |
| author_facet | Li, Cai-Chang Lu, Jun-Nan Ding, Gui-Jun |
| contents | We perform a comprehensive analysis of the minimal eclectic flavor group $Q_{8}\rtimes S_3$ which is isomorphic to $GL(2,3)$, and all its irreducible representations are induced from the irreducible representations of $Q_{8}$ and $S_{3}$. The consistency conditions between EFG and generalized CP (gCP) symmetry are revisited, and we find the gCP symmetry compatible with the minimal EFG $Q_{8}\rtimes S_3$. The most general forms of Kähler potential and superpotential based on $Q_{8}\rtimes S_3$ are discussed, and the corresponding fermion mass matrices are presented. A concrete lepton model invariant under $Q_{8}\rtimes S_3$ and gCP is constructed, in which the experimental data of all six lepton masses and six mixing parameters can be successfully described through seven real input parameters. The model predicts a vanishing effective mass $m_{ββ}$ in neutrinoless double beta decay. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2405_13460 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Minimal eclectic flavor group $Q_{8}\rtimes S_3$ and neutrino mixing Li, Cai-Chang Lu, Jun-Nan Ding, Gui-Jun High Energy Physics - Phenomenology We perform a comprehensive analysis of the minimal eclectic flavor group $Q_{8}\rtimes S_3$ which is isomorphic to $GL(2,3)$, and all its irreducible representations are induced from the irreducible representations of $Q_{8}$ and $S_{3}$. The consistency conditions between EFG and generalized CP (gCP) symmetry are revisited, and we find the gCP symmetry compatible with the minimal EFG $Q_{8}\rtimes S_3$. The most general forms of Kähler potential and superpotential based on $Q_{8}\rtimes S_3$ are discussed, and the corresponding fermion mass matrices are presented. A concrete lepton model invariant under $Q_{8}\rtimes S_3$ and gCP is constructed, in which the experimental data of all six lepton masses and six mixing parameters can be successfully described through seven real input parameters. The model predicts a vanishing effective mass $m_{ββ}$ in neutrinoless double beta decay. |
| title | Minimal eclectic flavor group $Q_{8}\rtimes S_3$ and neutrino mixing |
| topic | High Energy Physics - Phenomenology |
| url | https://arxiv.org/abs/2405.13460 |