Ab initio neutrinoless double-beta decay matrix elements*

With neutrinoless double-beta decay (0νββ) experiments poised to reach the ton-scale era, reliable nuclear matrix elements (NMEs), which govern the rate of the decay, are imperative. Observation of this process would at once show neutrinos to be Majorana particles, as well as potentially give the absolute mass of the neutrino, as long as the NMEs are well determined. 

In this work, we use the valence-space formulation of the IMSRG to provide converged ab initio NME predictions for all major isotopes used in ongoing experimental searches from A=48 to A=136 with a range of different input nuclear forces. In addition we include the effects of the newly discovered leading order contact term. Finally, to potentially constrain the NMEs further, we study the correlation between the 0νββ NMEs and the Double Gamow Teller transition NMEs, a second order charge-exchange reaction predicted by the standard model.