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• W4377103615 abstract "The Kahler potentials of modular symmetry models receive unsuppressed contributions which may be controlled by a flavor symmetry, where the combination of the two symmetry types is referred to as eclectic flavor symmetry. After briefly reviewing the consistency conditions of eclectic flavor symmetry models, including with generalised (g)CP, we perform a comprehensive bottom-up study of eclectic flavor symmetry models based on $Omega(1)cong Delta(27)rtimes T^prime$, consisting of the flavor symmetry $Delta(27)$ in a semi-direct product with the modular symmetry $T^prime$. The modular transformations of different $Delta(27)$ multiplets are given by solving the consistency condition. The eight nontrivial singlets of $Delta(27)$ are related by $T'$ modular symmetry, and they have to be present or absent simultaneously in any $Omega(1)$ model. The most general forms of the superpotential and Kahler potential invariant under $Omega(1)$ are discussed, and the corresponding fermion mass matrices are presented. Based on the eclectic flavor group $Omega(1)$, two concrete lepton models which can successfully describe the experimental data of lepton masses and mixing parameters are constructed. For the two models without gCP, all six mixing parameters vary in small regions. A nearly maximal atmospheric mixing angle $theta_{23}$ and Dirac CP phase $delta_{CP}$ are obtained in the first model. After considering the compatible gCP symmetry and the assumption of $Re tau=0$ in the first model, the $mu-tau$ reflection symmetry is preserved in the charged lepton diagonal basis. As a consequence, the atmospheric mixing angle and Dirac CP phase are predicted to be maximal, and two Majorana CP phases are predicted to be $pi$." @default.
• W4377103615 created "2023-05-20" @default.
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• W4377103615 date "2023-05-17" @default.
• W4377103615 modified "2023-10-05" @default.
• W4377103615 title "Neutrino mass and mixing models with eclectic flavor symmetry ∆(27) ⋊ T′" @default.
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• W4377103615 doi "https://doi.org/10.1007/jhep05(2023)144" @default.
• W4377103615 hasPublicationYear "2023" @default.
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