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| Main Authors: | , |
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| Format: | Preprint |
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2023
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2308.16901 |
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| _version_ | 1866910348072714240 |
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| author | Li, Cai-Chang Ding, Gui-Jun |
| author_facet | Li, Cai-Chang Ding, Gui-Jun |
| contents | We have performed a systematical study of the eclectic flavor group $Δ(27)\rtimes S_3$ which is the extension of the traditional flavor symmetry $Δ(27)$ by the finite modular symmetry $S_3$. Consistency between $Δ(27)$ and $S_3$ requires that the eight nontrivial singlet representations of $Δ(27)$ should be arranged into four reducible doublets. The modular transformation matrices are determined for various $Δ(27)$ multiplets, and the CP-like symmetry compatible with $Δ(27)\rtimes S_3$ are discussed. We study the general form of the Kähler potential and superpotential invariant under $Δ(27)\rtimes S_3$, and the corresponding fermion mass matrices are presented. We propose a bottom-up model for lepton masses and mixing based on $Δ(27)\rtimes S_{3}$, a numerical analysis is performed and the experimental data can be accommodated. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2308_16901 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Eclectic flavor group $Δ(27)\rtimes S_3$ and lepton model building Li, Cai-Chang Ding, Gui-Jun High Energy Physics - Phenomenology We have performed a systematical study of the eclectic flavor group $Δ(27)\rtimes S_3$ which is the extension of the traditional flavor symmetry $Δ(27)$ by the finite modular symmetry $S_3$. Consistency between $Δ(27)$ and $S_3$ requires that the eight nontrivial singlet representations of $Δ(27)$ should be arranged into four reducible doublets. The modular transformation matrices are determined for various $Δ(27)$ multiplets, and the CP-like symmetry compatible with $Δ(27)\rtimes S_3$ are discussed. We study the general form of the Kähler potential and superpotential invariant under $Δ(27)\rtimes S_3$, and the corresponding fermion mass matrices are presented. We propose a bottom-up model for lepton masses and mixing based on $Δ(27)\rtimes S_{3}$, a numerical analysis is performed and the experimental data can be accommodated. |
| title | Eclectic flavor group $Δ(27)\rtimes S_3$ and lepton model building |
| topic | High Energy Physics - Phenomenology |
| url | https://arxiv.org/abs/2308.16901 |