A4 Family Symmetry from SU(5) SUSY GUTs in 6d

2009/09/30 by T. J. Burrows, T.J. Burrows, Stephen F. King +1
Mathematics · Physics and Astronomy · #Astrophysics and Cosmic Phenomena #Compactification (mathematics) #Grand Unified Theory #Higgs boson #Mathematics #Neutrino #Neutrino Physics Research #Orbifold #Particle physics #Particle physics theoretical and experimental studies #Physics #Pure mathematics #Superpotential #Supersymmetry #Theoretical physics #hep-ph

paper · pdf · doi:10.1016/j.nuclphysb.2010.04.002

published as Nucl.Phys.B835:174-196,2010 · Version to appear in Nuclear Physics B, 28 pages

openalex publication_date 2010/04/06 · arxiv created 2010/04/10 · arxiv updated 2010/05/07 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05

Abstract

We propose a model in which A4 Family Symmetry arises dynamically from a six-dimensional orbifold SU(5) Supersymmetric Grand Unified Theory. The SU(5) is broken to the Standard Model gauge group by a particular orbifold compactification leading to A4 Family Symmetry, low energy Supersymmetry and Higgs doublet–triplet splitting. The resulting four-dimensional effective superpotential leads to a realistic description of quark and lepton masses and mixing angles including tri-bimaximal neutrino mixing and an inter-family mass hierarchy provided by a Froggatt–Nielsen mechanism. This model is the first which combines the idea of orbifold GUTs with A4 Family Symmetry resulting from the orbifolding.

Citations

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