Towards Precise and Accurate Calculations of Neutrinoless Double-Beta Decay

I present the contents of a report (arXiv:2207.01085) emerging from a National Science Foundation Project Scoping

Workshop that took place early this year. The report articulates the challenges for

the computation of double-beta nuclear matrix elements from first principles

with controlled uncertainty and lays out a road-map for the execution of the computations. After briefly reviewing crucial developments in

effective field theory, lattice quantum chromodynamics, and ab initio nuclear

many-body theory, I describe a program to improve each, connect them in

a first-principles computation, and determine the uncertainty in the resulting

double-beta matrix elements. The uncertainty quantification will combine an

assessment of correlations between double-beta rates and other observables with

Bayesian model mixing. The correlation analysis will feed back into the

Hamiltonians and operators in the nuclear computations, leading ultimately

to matrix elements that are both accurate and precise.