Abstract
We discuss the breaking of SO(3) down to finite family symmetries such as A4, S4 and A5 using supersymmetric potentials for the first time. We analyse in detail the case of supersymmetric A4 and its finite subgroups Z3 and Z2. We then propose a supersymmetric A4 model of leptons along these lines, originating from SO(3) × U(1), which leads to a phenomenologically acceptable pattern of lepton mixing and masses once subleading corrections are taken into account. We also discuss the phenomenological consequences of having a gauged SO(3), leading to massive gauge bosons, and show that all domain wall problems are resolved in this model.
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King, S.F., Zhou, YL. Spontaneous breaking of SO(3) to finite family symmetries with supersymmetry — an A4 model. J. High Energ. Phys. 2018, 173 (2018). https://doi.org/10.1007/JHEP11(2018)173
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DOI: https://doi.org/10.1007/JHEP11(2018)173