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Eclectic flavor group ∆(27) ⋊ S 3 and lepton model building
- Source :
- Journal of High Energy Physics, Vol 2024, Iss 3, Pp 1-37 (2024)
- Publication Year :
- 2024
- Publisher :
- SpringerOpen, 2024.
-
Abstract
- Abstract We have performed a systematical study of the eclectic flavor group ∆(27) ⋊ S 3 which is the extension of the traditional flavor symmetry ∆(27) by the finite modular symmetry S 3. Consistency between ∆(27) and S 3 requires that the eight nontrivial singlet representations of ∆(27) should be arranged into four reducible doublets. The modular transformation matrices are determined for various ∆(27) multiplets, and the CP-like symmetry compatible with ∆(27) ⋊ S 3 are discussed. We study the general form of the Kähler potential and superpotential invariant under ∆(27) ⋊ S 3, and the corresponding fermion mass matrices are presented. We propose a bottom-up model for lepton masses and mixing based on ∆(27) ⋊ S 3, a numerical analysis is performed and the experimental data can be accommodated.
Details
- Language :
- English
- ISSN :
- 10298479
- Volume :
- 2024
- Issue :
- 3
- Database :
- Directory of Open Access Journals
- Journal :
- Journal of High Energy Physics
- Publication Type :
- Academic Journal
- Accession number :
- edsdoj.f41950e6a78f41ecbd78935060c106f0
- Document Type :
- article
- Full Text :
- https://doi.org/10.1007/JHEP03(2024)054