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Neutrino Mass and Mixing Models with Eclectic Flavor Symmetry $\Delta (27) \rtimes T'$ by Ding, Gui-Jun; King, Stephen F.; Li, Cai-Chang; Liu, Xiang-Gan; Lu, Jun-Nan is a scholarly article available to read on EtoBox.

What is Neutrino Mass and Mixing Models with Eclectic Flavor Symmetry $\Delta (27) \rtimes T'$ about?

The K\"ahler 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 K\"ahler 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

Author

Ding, Gui-Jun; King, Stephen F.; Li, Cai-Chang; Liu, Xiang-Gan; Lu, Jun-Nan

Published

2023

Language

EN