Fermion masses and mixing in models with SO(10) x A4 symmetry
Abstract
We study the flavour sector in models where the three families of matter are unified in a (16,3) representation of the SO(10)× A4 group. The necessary ingredients to realize tri-bi-maximal mixing in the lepton sector are identified systematically. The non-renormalizable operators contributing to the fermion mass matrices play an important role. We also present a mechanism to explain the inter-family mass hierarchy of quarks and charged leptons, which relies on a `universal seesaw' mechanism and is compatible with tri-bi-maximal mixing.
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