  The study of the neutrinoless double beta ($0 \beta\beta$) decay mode can
provide us with important information on the neutrino properties, particularly
on the electron neutrino absolute mass. In this work we revise the present
constraints on the neutrino mass parameters derived from the $0 \beta\beta$
decay analysis of the experimentally interesting nuclei. We use the latest
results for the phase space factors (PSFs) and nuclear matrix elements (NMEs),
as well as for the experimental lifetimes limits. For the PSFs we use values
computed with an improved method reported very recently. For the NMEs we use
values chosen from literature on a case-by-case basis, taking advantage of the
consensus reached by the community on several nuclear ingredients used in their
calculation. Thus, we try to restrict the range of spread of the NME values
calculated with different methods and, hence, to reduce the uncertainty in
deriving limits for the Majorana neutrino mass parameter. Our results may be
useful to have an up-date image on the present neutrino mass sensitivities
associated with $0 \beta\beta$ measurements for different isotopes and to
better estimate the range of values of the neutrino masses that can be explored
in the future double beta decay (DBD) experiments.
