ν generation: Present and future constraints on neutrino masses from global analysis of cosmology and laboratory experiments

We perform a joint analysis of current data from cosmology and laboratory experiments to constrain theneutrino mass parameters in the framework of Bayesian statistics, also accounting for uncertainties in nuclearmodeling, relevant for neutrinoless doubleβdecay (0ν2β) searches. We find that a combination of currentoscillation, cosmological, and0ν2βdata constrainsmββ<0.045eV (0.014eV<mββ<0.066eV) at95% C.L. for normal (inverted) hierarchy. This result is in practice dominated by the cosmological andoscillation data, so it is not affected by uncertainties related to the interpretation of0ν2βdata, like nuclearmodeling, or the exact particle physics mechanism underlying the process. We then perform forecasts forforthcoming and next-generation experiments, and find that in the case of normal hierarchy, given a total massof 0.1 eV, and assuming a factor-of-two uncertainty in the modeling of the relevant nuclear matrix elements, itwill be possible to measure the total mass itself, the effective Majorana mass and the effective electron masswith an accuracy (at 95% C.L.) of 0.05, 0.015, 0.02 eV, respectively, as well as to be sensitive to one of theMajorana phases. This assumes that neutrinos are Majorana particles and that the mass mechanism gives thedominant contribution to0ν2βdecay. We argue that more precise nuclear modeling will be crucial to improvethese sensitivities.