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As experimental searches for neutrinoless double-beta ($0\nu\beta\beta$)decay are entering a new generation, with hopes to completely probe theinverted mass hierarchy, the need for reliable nuclear matrix elements, whichgovern the rate of this decay, is stronger than ever. Since a large discrepancyin results is typically found with nuclear modela, a large unknown still existson the sensitivity of these experiments to the effective neutrino mass. Weconsider this problem from a first-principles perspective, using the ab initiovalence-space in medium similarity renormalization group. In particular, westudy correlations of the $0\nu\beta\beta$-decay matrix elements in $^{76}$Gewith other observables, such as the double Gamow-Teller giant resonance, from34 input chiral interactions in an attempt to constrain our uncertainties andinvestigate the interaction dependence of the nuclear matrix element.

Constraining Neutrinoless Double-Beta Decay Matrix Elements from Ab Initio Nuclear Theory