Systematic study of leptonic mixing in a class of SUH(2) models

Abstract

We perform a systematic analysis of the Pontecorvo-Maki-Nakagawa-Sakata (PMNS) matrices which arise when one assigns the three generations of leptons to the 2 1 representation of a horizontal SUH(2) symmetry. This idea was explored previously by Kuchimanchi and Mohapatra. However, we assume (i) the neutrino mass matrix results from leptonic couplings to SUL(2) triplet scalar fields and (ii) hierarchies exist among lepton mass matrix elements which result from couplings to scalar fields with different SUH(2) charges. Of the 16 candidate PMNS matrices which result it is found that only one is both predictive and possesses a leading order structure compatible with experimental data. The relevan..