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

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

Discrete Symmetries, Gauge Symmetry, Neutrino Physics, Supersymmetric Effective Theories
1126-6708
King, Stephen F.
f8c616b7-0336-4046-a943-700af83a1538
Zhou, Ye Ling
ee7044b2-b38d-4a2d-ae3d-f1b14cf86b1b
King, Stephen F.
f8c616b7-0336-4046-a943-700af83a1538
Zhou, Ye Ling
ee7044b2-b38d-4a2d-ae3d-f1b14cf86b1b

King, Stephen F. and Zhou, Ye Ling (2018) Spontaneous breaking of SO(3) to finite family symmetries with supersymmetry — an A 4 model. Journal of High Energy Physics, 2018 (11), [173]. (doi:10.1007/JHEP11(2018)173).

Record type: Article

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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Accepted/In Press date: 20 November 2018
e-pub ahead of print date: 28 November 2018
Published date: November 2018
Keywords: Discrete Symmetries, Gauge Symmetry, Neutrino Physics, Supersymmetric Effective Theories

Identifiers

Local EPrints ID: 426934
URI: http://eprints.soton.ac.uk/id/eprint/426934
ISSN: 1126-6708
PURE UUID: ed33c9dd-de21-4169-a07b-33f300907cdb

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Date deposited: 18 Dec 2018 17:30
Last modified: 07 Oct 2020 00:51

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