Neutrino mass generation in the SO(4) model

TL;DR

This paper proposes a model based on SO(4) algebraic structure to generate neutrino masses, resulting in a gauge boson spectrum similar to the Standard Model and deriving a small Dirac neutrino mass without invoking the seesaw mechanism.

Contribution

It introduces an SO(4) model framework for neutrino mass generation, connecting algebraic structure to gauge boson masses and neutrino mass terms, without using the seesaw mechanism.

Findings

Results in three massive and three massless gauge bosons.

Derives a small Dirac neutrino mass within the model.

Shows the neutrino mass can vanish with specific parameter choices.

Abstract

Generation of neutrino mass in SO(4) model is proposed here. The algebraic structure of SO(4) is same as to that of $SU(2)_{L}\times SU(2)_{R}$. It is shown that the spontaneous symmetry breaking results three massive as well as three massless gauge bosons. The standard model theory according to which there exist three massive gauge bosons and a massless one is emerged from this model. In the framework of $SU(2)_{L}\times SU(2)_{R}$ a small Dirac neutrino mass is derived. It is also shown that such mass term may vanish with a special choice. The Majorana mass term is not considered here and thus in this model the neutrino mass does not follow seesaw structure.