Abstract
We discuss the origin of both non-Abelian discrete family symmetry and Abelian continuous family symmetry, as well as matter parity, from F-theory SUSY GUTs. We propose a minimal model based on the smallest GUT group SU(5), together with the non-Abelian family symmetry D 4 plus an Abelian family symmetry, where fluxes are responsible for doublet-triplet splitting, leading to a realistic low energy spectrum with phenomenologically acceptable quark and lepton masses and mixing. We show how a Z 2 matter parity emerging from F-theory can suppress proton decay while allowing neutron-antineutron oscillations, providing a distinctive signature of the set-up.
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Karozas, A., King, S.F., Leontaris, G.K. et al. Phenomenological implications of a minimal F-theory GUT with discrete symmetry. J. High Energ. Phys. 2015, 41 (2015). https://doi.org/10.1007/JHEP10(2015)041
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DOI: https://doi.org/10.1007/JHEP10(2015)041