Radiative Splitting of Three Degenerate Neutrinos

TL;DR

This paper presents a model where neutrino mass differences are generated radiatively through loop corrections involving a charged scalar singlet, extending the Standard Model with effective operators and specific symmetries.

Contribution

It introduces a novel mechanism for neutrino mass splitting based on radiative corrections within an extended Standard Model framework.

Findings

Neutrino mass splittings arise from one-loop corrections.

The model explains atmospheric and solar neutrino oscillations.

It maintains SO(3) symmetry at tree level.

Abstract

We propose a radiative origin of the two mass splittings of three degenerate Majorana neutrinos. It can be achieved by extending the standard model to have the usual effective dimension 5 operators generating SO(3)-invariant tree-level masses, and a charged scalar singlet coupling with the leptons preserving the U(1) subgroup of SO(3). The mass splittings for the atmospheric and solar neutrino oscillations then arise from one-loop corrections due to the charged scalar singlet coupling and the usual tau Yukawa coupling, respectively.