Scrutinizing the KNT model with vacuum stability conditions

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.