We present converged ab initio calculations of short-range neutrinoless double-beta ($0\nu \beta \beta$)-decay nuclear matrix elements for the key experimental isotopes ${}^{76}\mathrm{Ge}$, ${}^{82}\mathrm{Se}$, ${}^{130}\mathrm{Te}$, and ${}^{136}\mathrm{Xe}$. Starting from different nuclear forces derived from chiral effective field theory, we apply the in-medium similarity renormalization group to obtain an effective valence-space Hamiltonian along with consistently transformed $0\nu \beta \beta$-decay operators. We then obtain a range of values for the matrix elements that is consistent with, but generally smaller than, those from phenomenology. Finally, we combine our results with current limits from $0\nu \beta \beta$-decay searches to obtain constraints for the sterile-neutrino mixing-mass parameter space when considering the inclusion of a fourth, sterile neutrino.

Close

PrevNext

View figure in article

• Electroweak interactions in nuclear physics
• Neutrinoless double beta decay
• Nuclear structure & decays