Fermion masses and mixing in models withSO(10)×A4symmetry

Federica Bazzocchi, Michele Frigerio, Stefano Morisi
2008 Physical Review D  
We study the flavour sector in models where the three families of matter are unified in a (16,3) representation of the SO(10)× A_4 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.
doi:10.1103/physrevd.78.116018 fatcat:ey6dijsbbfb2harde2b4v6dogq