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arXiv · 1809.10292

Spontaneous breaking of $SO(3)$ to finite family symmetries with supersymmetry - an $A_4$ model

Stephen F. King·Ye-Ling Zhou
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Abstract

We discuss the breaking of $SO(3)$ down to finite family symmetries such as $A_4$, $S_4$ and $A_5$ using supersymmetric potentials for the first time. We analyse in detail the case of supersymmetric $A_4$ and its finite subgroups $Z_3$ and $Z_2$. We then propose a supersymmetric $A_4$ model of leptons along these lines, originating from $SO(3)\times U(1)$, 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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Stephen F. King, Ye-Ling Zhou. 2018-09-27. Spontaneous breaking of $SO(3)$ to finite family symmetries with supersymmetry - an $A_4$ model. https://doi.org/10.1007/jhep11(2018)173

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