Froggatt-Nielsen models from E8 in F-theory GUTs

Details Froggatt-Nielsen models from E8 in F-theory GUTs Froggatt-Nielsen models from E8 in F-theory GUTs

2009-12-04

arxiv.org/abs/0912.0853v3

Physics

High Energy Physics

High Energy Physics - Theory

42 pages; v2:journal version; v3:corrected typo in neutrino masses

Scientific paper

This paper studies F-theory SU(5) GUT models where the three generations of the standard model come from three different curves. All the matter is taken to come from curves intersecting at a point of enhanced E8 gauge symmetry. Giving a vev to some of the GUT singlets naturally implements a Froggatt-Nielsen approach to flavour structure. A scan is performed over all possible models and the results are filtered using phenomenological constraints. We find a unique model that fits observations of quark and lepton masses and mixing well. This model suffers from two drawbacks: R-parity must be imposed by hand and there is a doublet-triplet splitting problem.

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