$A_4$ Family Symmetry from SU(5) SUSY GUTs in 6d

Details $A_4$ Family Symmetry from SU(5) SUSY GUTs in 6d $A_4$ Family Symmetry from SU(5) SUSY GUTs in 6d

2009-09-08

arxiv.org/abs/0909.1433v2

Nucl.Phys.B835:174-196,2010

Physics

High Energy Physics

High Energy Physics - Phenomenology

Version to appear in Nuclear Physics B, 28 pages

Scientific paper

10.1016/j.nuclphysb.2010.04.002

We propose a model in which $A_4$ 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 $A_4$ 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 $A_4$ family symmetry resulting from the orbifolding.

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