Neutrinoless $\beta \beta $ decay transition matrix elements within mechanisms involving light Majorana neutrinos, classical Majorons and sterile neutrinos

TL;DR

This paper estimates uncertainties in nuclear transition matrix elements for neutrinoless double-beta decay across various isotopes and mechanisms, highlighting the impact of different model parameters and correlations on the results.

Contribution

It provides a comprehensive statistical analysis of nuclear matrix element uncertainties for multiple isotopes and mechanisms involving light Majorana neutrinos, Majorons, and sterile neutrinos.

Findings

Maximum uncertainty is about 15% for light Majorana neutrinos and Majorons.

Uncertainty varies from 4% to 36% for sterile neutrinos depending on correlations.

Uncertainty depends on the sterile neutrino mass and short-range correlation parametrization.

Abstract

In the PHFB model, uncertainties in the nuclear transition matrix elements for the neutrinoless double-$\beta $ decay of $\ ^{94,96}$Zr, $^{98,100}$Mo, $^{104}$Ru, $^{110}$Pd, $^{128,130}$Te and $^{150}$Nd isotopes within mechanisms involving light Majorana neutrinos, classical Majorons and sterile neutrinos are statistically estimated by considering sets of sixteen (twenty-four) matrix elements calculated with four different parametrization of the pairing plus multipolar type of effective two-body interaction, two sets of form factors and two (three) different parameterizations of Jastrow type of short range correlations. In the mechanisms involving the light Majorana neutrinos and classical Majorons, the maximum uncertainty is about 15% and in the scenario of sterile neutrinos, it varies in between approximately 4 (9)%--20 (36)% without(with) Jastrow short range correlations with Miller-Spencer parametrization, depending on the considered mass of the sterile neutrinos.