Nuclear Matrix Elements for Neutrinoless Double-Beta Decay

Abstract

Neutrinoless double-beta decay ($0νββ$) is a rare hypothesised process that, if discovered, would establish that the neutrino is Majorana, that is, it is its own antiparticle. Interpretation of experimental results relies on knowledge of nuclear matrix elements, whose large model uncertainty is the limiting factor in comparing measured (bounds on) half-lives to the neutrino mass. Nuclear effective field theory and lattice QCD have the potential to compute these matrix elements with better control over uncertainties, enhancing the discovery potential of next-generation $0νββ$ experiments. This work will survey various lattice QCD double-beta decay calculations and discuss their implications.