Neutrino masses and mixings in a minimal SO (10) model

We consider a minimal formulation of SO(10) grand unified theory wherein all the fermion masses arise from Yukawa couplings involving one 126 and one 10 of Higgs multiplets. It has recently been recognized that such theories can explain, via the type-II seesaw mechanism, the large νμ-ντ mixing as a consequence of b-τ unification at the grand unified theory scale. In this picture, however, the Cabibbo-Kobayashi-Maskawa quark-mixing matrix phase δ lies preferentially in the second quadrant, in contradiction with experimental measurements. We revisit this minimal model and show that the conventional type-I seesaw mechanism generates phenomenologically viable neutrino masses and mixings, while being consistent with Cabibbo-Kobayashi-Maskawa quark-mixing matrix CP violation. We also present improved fits in the type-II seesaw scenario and suggest fully consistent fits in a mixed scenario