Spontaneous breaking of SO(3) to finite family symmetries with supersymmetry — an A4 model

King, Stephen F.; Zhou, Ye-Ling

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

Citation

King, S. F., & Zhou, Y. (2018). Spontaneous breaking of SO(3) to finite family symmetries with supersymmetry — an A4 model. Journal of High Energy Physics, 2018(11), Article 173. https://doi.org/10.1007/jhep11%282018%29173

• Journal Article Type: Article
• Acceptance Date: Nov 20, 2018
• Online Publication Date: Nov 28, 2018
• Publication Date: Nov 28, 2018
• Deposit Date: Jan 4, 2019
• Publicly Available Date: Jan 4, 2019
• Journal: Journal of High Energy Physics
• Print ISSN: 1126-6708
• Publisher: Scuola Internazionale Superiore di Studi Avanzati (SISSA)
• Peer Reviewed: Peer Reviewed
• Volume: 2018
• Issue: 11
• Article Number: 173
• DOI: https://doi.org/10.1007/jhep11%282018%29173
• Public URL: https://durham-repository.worktribe.com/output/1340506