Radiatively Generated Neutrino Masses in SU(3)_L x U(1)_N Gauge Models

TL;DR

This paper explores a radiative mechanism for generating Majorana neutrino masses within SU(3)_L x U(1)_N gauge models, highlighting how specific Higgs scalars and heavy leptons facilitate neutrino mass generation.

Contribution

It demonstrates a radiative neutrino mass generation mechanism in SU(3)_L x U(1)_N models involving heavy leptons and Higgs scalars, avoiding fine-tuning issues present in minimal models.

Findings

Radiative mechanism successfully generates neutrino masses.

Heavy leptons and Higgs scalars are essential for the mechanism.

Minimal models face fine-tuning problems.

Abstract

In SU(3)_L x U(1)_N gauge models for electroweak interactions, we discuss how to implement a radiative mechanism of generating Majorana neutrino masses by considering the property that the Higgs scalar, which has a coupling to a charged lepton (\ell)-neutrino (\nu) pair, is naturally included. The mechanism is shown to work in models with a heavy charged lepton, \omega^+, in a lepton triplet (\nu, \ell, \omega^+) and with a heavy neutral lepton, N, in (\nu, \ell, N). A minimal model with \ell and \ell^c in (\nu, \ell, \ell^c) together with a sextet Higgs scalar suffers from a fine-tuning problem to suppress tree-level neutrino masses.