Scrutinizing the KNT model with vacuum stability conditions

TL;DR

This paper examines the Krauss-Nasri-Trodden (KNT) model's parameter space considering vacuum stability and renormalization group effects, revealing most viable regions are testable in future experiments.

Contribution

It provides a detailed analysis of the KNT model's parameter space under vacuum stability constraints using renormalization group effects and MCMC methods.

Findings

Significant viable parameter space is incompatible with vacuum stability.

Most remaining parameter space can be tested in future lepton flavor violation experiments.

Renormalization group effects critically constrain the model.

Abstract

The Krauss-Nasri-Trodden (KNT) model provides a unified framework for addressing the smallness of neutrino masses (by a three-loop radiative mechanism) and the dark matter abundance (via thermal freeze-out) simultaneously. In this work, we investigate the implications of renormalization group effects on the model's parameter space. To this end, we perform a Markov Chain Monte Carlo analysis to identify the viable regions of parameter space that is consistent with all the relevant experimental and theoretical constraints at low energies. We show that a significant portion of the low-energy viable region is incompatible with the vacuum stability conditions once the renormalization group effects are taken into account. Most of the remaining parameter space of the model can be probed in future charged lepton flavor violating experiments.