Critical Point in a 3-3-1 Model with Right-Handed Neutrinos

TL;DR

This paper analyzes the mass spectrum of a 3-3-1 model with right-handed neutrinos, revealing a coincidence in boson masses at accessible scales, which may explain experimental challenges in detecting these particles.

Contribution

It introduces an exact algebraical approach to tune a free parameter in the 3-3-1 model, uncovering a mass coincidence that impacts phenomenology and neutrino behavior.

Findings

Boson masses can coincide at relatively low symmetry breaking scales.

The model accommodates neutrino phenomenology via lepton number conservation or see-saw mechanism.

Mass spectrum analysis explains why new bosons have not been experimentally observed yet.

Abstract

The boson mass spectrum of a 3-3-1 model with right-handed neutrinos is investigated by tuning a unique free parameter whitin the exact algebraical approach for solving gauge models with high symmetries. A very strange coincidence of the masses in both the neutral and the charged boson sectors can occur at a not very high breaking scale. This could explain why the masses of the new bosons have not been exactly weighted in the laboratories by date. In order to have good phenomenological behaviour in the neutrino sector, one can resort to either the conservation of the global lepton number $L_{e}-L_{\mu}-L_{\tau}$ or see-saw mechanism.