Spontaneous breaking of SO(3) to finite family symmetries with supersymmetry — an A 4 model

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, o...

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Published inThe journal of high energy physics Vol. 2018; no. 11; pp. 1 - 40
Main Authors King, Stephen F, Ye-Ling, Zhou
Format Journal Article
LanguageEnglish
Published Heidelberg Springer Nature B.V 01.11.2018
SpringerOpen
Subjects
Bosons
Discrete Symmetries
Domain walls
Gauge Symmetry
High energy physics
Leptons
Neutrino Physics
Subgroups
Supersymmetric Effective Theories
Supersymmetry
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Summary: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.
ISSN:1029-8479
DOI:10.1007/JHEP11(2018)173