Family Symmetry from SU(5) SUSY GUTs in 6d
arXiv:0909.1433 · doi:10.1016/j.nuclphysb.2010.04.002
Abstract
We propose a model in which 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 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 family symmetry resulting from the orbifolding.
Version to appear in Nuclear Physics B, 28 pages
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