Neutrino mass model with S3 symmetry and seesaw interplay

We develop a seesaw model for neutrino masses and mixing with an S-3 x Z(3) symmetry. It involves an interplay of type-I and type-II seesaw contributions of which the former is subdominant. The S-3 x Z(3) quantum numbers of the fermion and scalar fields are chosen such that the type-II seesaw generates a mass matrix which incorporates the atmospheric mass splitting and sets theta(23) = pi/4. The solar splitting and theta(13) are absent, while the third mixing angle can achieve any value, theta(0)(12). Specific choices of theta(0)(12) are of interest, e.g., 35.3 degrees (tribimaximal), 45.0 degrees (bimaximal), 31.7 degrees (golden ratio), and 0 degrees (no solar mixing). The role of the type-I seesaw is to nudge all the above into the range indicated by the data. The model results in novel interrelationships between these quantities due to their common origin, making it readily falsifiable. For example, normal (inverted) ordering is associated with theta(23) in the first (second) octant. CP violation is controlled by phases in the right-handed neutrino Majorana mass matrix, M-nu R. In their absence, only normal ordering is admissible. When M-nu R is complex, the Dirac CP phase, delta, can be large, i.e., similar to +/- pi/2, and inverted ordering is also allowed. The preliminary results from T2K and NOVA which favor normal ordering and delta similar to-pi/2 are indicative, in this model, of a lightest neutrino mass of 0.05 eVor more.