Are the small neutrino oscillation parameters all related?

TL;DR

This paper proposes a see-saw model linking small neutrino oscillation parameters, suggesting they originate from a common source, and predicts observable CP-violation effects, which can be tested with future precision measurements.

Contribution

It introduces a see-saw model that naturally relates small neutrino parameters and predicts large CP-violation for inverted mass ordering.

Findings

Model explains small neutrino parameters through a single source.

Predicts large CP-violation in inverted mass hierarchy.

Testable with future precision neutrino experiments.

Abstract

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.