The renormalization of the shell-model neutrinoless double-beta decay operator starting from effective field theory (I)
This paper presents the first fully consistent shell-model calculation of neutrinoless double-beta decay matrix elements for 48Ca, 76Ge, and 82Se, deriving both the nuclear Hamiltonian and decay operators from chiral perturbation theory via many-body perturbation theory while also assessing convergence and theoretical uncertainties.