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

TL;DR

This paper predicts the effective Majorana mass for neutrinoless double-beta decay in both standard three-neutrino and 3+1 sterile neutrino scenarios, highlighting potential experimental distinctions.

Contribution

It provides detailed predictions of $|m_{\beta\beta}|$ considering current oscillation uncertainties for both models, emphasizing differences that future experiments could detect.

Findings

Predictions for $|m_{\beta\beta}|$ differ significantly between 3ν and 3+1 scenarios.

Future neutrinoless double-beta decay measurements can distinguish models if mass ordering is known.

Cosmological measurements of neutrino mass could help differentiate the scenarios.

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.