Physics – High Energy Physics – High Energy Physics - Phenomenology
Scientific paper
2010-10-17
J.Phys.Conf.Ser.259:012099,2010
Physics
High Energy Physics
High Energy Physics - Phenomenology
To appear in the proceedings of PASCOS 2010, the 16th International Symposium on Particles, Strings and Cosmology, Valencia, S
Scientific paper
10.1088/1742-6596/259/1/012099
Both discrete flavour symmetries and Grand Unified symmetries explain apparent structures in the mass sector of the Standard Model. A model that combines both symmetries is therefore very appealing. We construct a model with the $S_4$ flavour symmetry and the Pati-Salam unification. We show that this model can indeed explain many observable relations between the masses of the quarks and leptons and that it is predictive in the neutrino sector. However, the combination of the two symmetries leads to new complications in the Higgs sector and in the running of the renormalisation group equations.
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