Are the small neutrino oscillation parameters all related?

Neutrino oscillations reveal several small parameters, namely, $\theta_{13}$, the solar mass splitting {\em vis-\`{a}-vis} the atmospheric one, and the deviation of $\theta_{23}$ from maximal mixing. Can these small quantities all be traced to a single source and, if so, how could that be tested? Here a see-saw model for neutrino masses is presented wherein a dominant term generates the atmospheric mass splitting with maximal mixing in this sector, keeping $\theta_{13} = 0$ and zero solar splitting. A Type-I see-saw perturbative contribution results in non-zero values of $\theta_{13}$, $\Delta m^2_{solar}$, $\theta_{12}$, as well as allows $\theta_{23}$ to deviate from $\pi/4$ in consistency with the data while interrelating them all. CP-violation is a natural consequence and is large ($\delta \sim \pi/2, 3\pi/2$) for inverted mass ordering. The model will be tested as precision on the neutrino parameters is sharpened.Comment: v1: 8 pages, 2 Figures, v2: Published version, Journal title different, minor typographical changes, presentation improved, references added and updated. 9 pages, 3 Figures, Fig. 2 split into Fig. 2 and Fig. 3 for clarit

Three-Higgs-doublet model under A4 symmetry implies alignment

A model with three scalar doublets can be conveniently accommodated within an A4 symmetric framework. The A4 symmetry permits only a restricted form for the scalar potential. We show that for the global minima of this potential alignment follows as a natural consequence. We also verify that in every case positivity and unitarity constraints are satisfactorily met.Comment: 17 pages, v2: References added, some changes in text, to appear in JHE