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

King, Stephen (0000 0004 1936 9297, School of Physics and Astronomy, University of Southampton, Southampton, SO17 1BJ, United Kingdom) ; Zhou, Ye-Ling  (0000 0004 1936 9297, School of Physics and Astronomy, University of Southampton, Southampton, SO17 1BJ, United Kingdom) (0000 0000 8700 0572, Institute for Particle Physics Phenomenology, Department of Physics, Durham University, South Road, Durham, DH1 3LE, United Kingdom)

29 November 2018

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) × 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.


Published in: JHEP 1811 (2018) 173
Published by: Springer/SISSA
DOI: 10.1007/JHEP11(2018)173
arXiv: 1809.10292
License: CC-BY-4.0



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