Physics – High Energy Physics – High Energy Physics - Phenomenology
Scientific paper
2009-12-08
Physics
High Energy Physics
High Energy Physics - Phenomenology
28 pages, version to be published in NPB
Scientific paper
We construct a realistic Supersymmetric Grand Unified Theory of Flavour based on PSL(2,7) x SO(10), where the quarks and leptons in the 16 of SO(10) are assigned to the complex triplet representation of PSL(2,7), while the flavons are assigned to a combination of sextets and anti-triplets of PSL(2,7). Using a D-term vacuum alignment mechanism, we require the flavon sextets of PSL(2,7) to be aligned along the 3-3 direction leading to the third family Yukawa couplings, while the flavon anti-triplets describe the remaining Yukawa couplings. Other sextets are aligned along the neutrino flavour symmetry preserving directions leading to tri-bimaximal neutrino mixing via a type II see-saw mechanism, with predictions for neutrinoless double beta decay and cosmology.
King Stephen F.
Luhn Christoph
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