Observables sensitive to absolute neutrino masses. II

In this followup to Phys. Rev. D 75, 053001 (2007) , we report updated constraints on neutrino mass-mixing parameters, in light of recent neutrino oscillation data (KamLAND, SNO, and MINOS) and cosmological observations (WMAP 5-year and other data). We discuss their interplay with the final $0\nu 2\beta$ decay results in ${}^{76}\mathrm{Ge}$ claimed by part of the Heidelberg-Moscow Collaboration, using recent evaluations of the corresponding nuclear matrix elements, and their uncertainties. We also comment on the $0\nu 2\beta$ limits in ${}^{130}\mathrm{Te}$ recently set by Cuoricino and on prospective limits or signals from the Karlsruhe tritium neutrino experiment.