Neutrino Dark Energy in Grand Unified Theories

TL;DR

This paper explores a left-right symmetric model embedded in SO(10) GUT that explains neutrino dark energy, predicts new gauge bosons at TeV scale, and details neutrino mass generation via Type III seesaw.

Contribution

It introduces a novel left-right symmetric model with Type III seesaw embedded in SO(10), analyzing vacuum conditions, symmetry breaking scales, and potential collider signatures.

Findings

Model accommodates neutrino dark energy within GUT framework.

Predicts TeV-scale $U(1)_R$ breaking and new gauge bosons detectable at LHC.

Requires at least three singlet fermions for neutrino mass generation.

Abstract

We studied a left-right symmetric model that can accommodate the neutrino dark energy (\nd) proposal. Type III seesaw mechanism is implemented to give masses to the neutrinos. After explaining the model, we study the consistency of the model by minimizing the scalar potential and obtaining the conditions for the required vacuum expectation values of the different scalar fields. This model is then embedded in an SO(10) grand unified theory and the allowed symmetry breaking scales are determined by the condition of the gauge coupling unification. Although $SU(2)_{R}$ breaking is required to be high, its Abelian subgroup $U(1)_{R}$ is broken in the TeV range, which can then give the required neutrino masses and predicts new gauge bosons that could be detected at LHC. The neutrino masses are studied in details in this model, which shows that at least 3 singlet fermions are required.