Neutrino masses and mixings in SO(10)

TL;DR

This paper explores neutrino masses and mixings within an SO(10) grand unified theory framework, using a Zee-like matrix for right-handed Majorana neutrino masses, leading to specific predictions for neutrino oscillation parameters.

Contribution

It introduces a model with a Zee-like matrix for right-handed neutrino masses in SO(10), predicting maximal solar neutrino mixing and small $U_{e3}$, aligning with theoretical expectations.

Findings

Maximal mixing for vacuum solar oscillations

Very small $U_{e3}$ value

Degeneracy of the two lower neutrino masses

Abstract

Assuming a Zee-like matrix for the right-handed neutrino Majorana masses in the see-saw mechanism, one gets maximal mixing for vacuum solar oscillations, a very small value for $U_{e3}$ and an approximate degeneracy for the two lower neutrino masses. The scale of right-handed neutrino Majorana masses is in good agreement with the value expected in a SO(10) model with Pati-Salam $SU(4)\ts SU(2)\ts SU(2)$ intermediate symmetry.