Neutrinoless $\beta \beta$ decay nuclear matrix elements complete up to N${}^2$LO in heavy nuclei

Daniel Castillo, Lotta Jokiniemi, Pablo Soriano +1

We evaluate all nuclear matrix elements (NMEs) up to next-to-next-to leading order (N${}^2$LO) in chiral effective field theory ($\chi$EFT) for the neutrinoless double-beta ($0\nu \beta \beta$) dec…