Ab initio short-range nuclear matrix elements for neutrinoless double-beta decay

Abstract

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 ${}^{76}$Ge, ${}^{82}$Se, ${}^{130}$Te and ${}^{136}$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.

11 pages, 7 figures

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