Neutrino mass as a consequence of the exact solution of 3-3-1 gauge models without exotic electric charges

TL;DR

This paper presents an exact solution method for 3-3-1 gauge models that naturally explains neutrino masses and predicts a high symmetry-breaking scale, aligning with experimental data without approximations.

Contribution

It introduces a novel exact solution approach to 3-3-1 models, enabling precise calculation of particle spectra and a new mechanism for small neutrino masses.

Findings

Neutrino masses can be generated without spoiling the model's exact solution.

The model's parameters can be tuned to match experimental data.

The symmetry-breaking scale is around 10^6 TeV, implying very massive new bosons.

Abstract

The unjustly neglected method of exactly solving generalized electro-weak models - with an original spontaneous symmetry breaking mechanism based on the gauge group $SU(n)_{L}\otimes U(1)_{Y}$ - is applied here to a particular class of chiral 3-3-1 models. This procedure enables us - without resorting to any approximation - to express the boson mass spectrum and charges of the particles involved therein as a straightforward consequence of both a proper parametrization of the Higgs sector and a new generalized Weinberg transformation. We prove that the resulting values can be accommodated to the experimental ones just by tuning a sole parameter. Furthermore, if we take into consideration both the left-handed and right-handed components of the neutrino (included in a lepton triplet along with their corresponding left-handed charged partner) then we are in the position to propose an original method for the neutrino to acquire a very small but non-zero mass without spoiling the previously achieved results in the exact solution of the model. In order to be compatible with the existing phenomenological data, the range of that sole parameter imposes in our method a large order of magnitude for the VEV $<\phi>\sim10^{6}$ TeV. Consequently, the new bosons of the model have to be very massive. PACS numbers: 14.60.St; 12.60.Cn; 12.60.Fr