Statistical Analysis of future Neutrino Mass Experiments including Neutrino-less Double Beta Decay

TL;DR

This paper performs a comprehensive statistical analysis of future neutrino mass experiments, including double beta decay, direct searches, and cosmology, considering realistic errors and nuclear uncertainties to evaluate scenario reconstruction and compatibility.

Contribution

It introduces a framework for analyzing future neutrino experiments with realistic errors and nuclear uncertainties, assessing scenario reconstruction and consistency with claimed signals.

Findings

Reconstruction of neutrino mass scenarios is feasible with future data.

Compatibility of scenarios with claimed neutrino-less double beta decay evidence is evaluated.

Uncertainties significantly impact the ability to distinguish between different neutrino mass hierarchies.

Abstract

We perform a statistical analysis with the prospective results of future experiments on neutrino-less double beta decay, direct searches for neutrino mass (KATRIN) and cosmological observations. Realistic errors are used and the nuclear matrix element uncertainty for neutrino-less double beta decay is also taken into account. Three benchmark scenarios are introduced, corresponding to quasi-degenerate, inverse hierarchical neutrinos, and an intermediate case. We investigate to what extend these scenarios can be reconstructed. Furthermore, we check the compatibility of the scenarios with the claimed evidence of neutrino-less double beta decay.