Predictions for Neutrinoless Double-Beta Decay in the 3+1 Sterile Neutrino Scenario

Abstract

In this proceeding we present predictions of the effective Majorana mass $|m_{\beta\beta}|$ in neutrinoless double-$\beta$ decay for the standard $3\nu$ mixing case and for the 3+1 neutrino mixing case indicated by the short-baseline anomalies. We have taken into account the uncertainties of the neutrino mixing parameters determined by oscillation experiments. We obtained that the predictions for $|m_{\beta\beta}|$ in the cases of $3\nu$ and 3+1 mixing are quite different, in agreement with previous discussions in the literature, and that future measurements of neutrinoless double-$\beta$ decay and the total mass of the three lightest neutrinos in cosmological experiments may distinguish the $3\nu$ and 3+1 cases if the mass ordering is determined by oscillation experiments.