Three-nucleon neutrinoless double beta decay potentials with chiral EFT

Searches for neutrinoless double beta decay (0νββ), the discovery of which would shed light on the origin of neutrino masses and physics beyond the Standard Model, is a focus of the current experimental program. The decay rate depends on nuclear matrix elements (NME) of the transition, which cannot be measured and must be determined theoretically. Precise determinations of these NMEs allows for a better comparison of the experimental data to different neutrino model predictions. We calculate three-nucleon 0νββ transition operators induced from the light-neutrino-exchange mechanism within the framework of chiral effective field theory. We include Δ degrees of freedom and include contributions up to next-to-next-to leading order (N2LO) and make comparisons with the two-nucleon transition operators.