Advances in modeling nuclear matrix elements of neutrinoless double beta decay

TL;DR

This paper reviews recent progress in ab initio modeling of nuclear matrix elements for neutrinoless double beta decay, highlighting consistent calculations across different nuclei and the move towards more precise, first-principles approaches.

Contribution

It reports on the agreement among ab initio calculations for 48Ca NMEs and discusses advancements towards computing NMEs for heavier nuclei from first principles.

Findings

Good agreement among ab initio calculations for 48Ca NMEs

Progress towards calculating NMEs for 76Ge, 130Te, and 136Xe from first principles

Development of consistent nuclear interactions and decay operators from chiral EFT

Abstract

Accurate nuclear matrix elements (NMEs) for neutrinoless double beta decays of candidate nuclei are important for the design and interpretation of future experiments. Significant progress has been made in the modeling of these NMEs from first principles. The NME for 48Ca shows a good agreement among three different ab initio calculations starting from the same nuclear interaction constructed within the chiral EFT and the same decay operator. These studies open the door to ab initio calculations of the matrix elements for the decay of heavier nuclei such as 76Ge, 130Te, and 136Xe. The ultimate goal is the computation of NMEs in many-body calculations with controllable approximations, using nuclear interactions and weak transition operators derived consistently from chiral EFT. We are expecting more progress towards this goal in the near future.