The contribution of light Majorana neutrinos to neutrinoless double beta
  decay and cosmology
  Cosmology is making impressive progress and it is producing stringent bounds
on the sum of the neutrino masses {\Sigma}, a parameter of great importance for
the current laboratory experiments. In this letter, we exploit the potential
relevance of the analysis of Palanque-Delabrouille et al. [JCAP 1502, 045
(2015)] to the neutrinoless double beta decay (0{\nu}{\beta}{\beta}) search.
This analysis indicates small values for the lightest neutrino mass, since the
authors find {\Sigma} < 84 meV at 1{\sigma} C. L., and provides a 1{\sigma}
preference for the normal hierarchy. The allowed values for the Majorana
effective mass, probed by 0{\nu}{\beta}{\beta}, turn out to be < 75meV at
3{\sigma}C.L. and lower down to less than 20meV at 1{\sigma}C.L.. If this
indication is confirmed, the impact on the 0{\nu}{\beta}{\beta} experiments
will be tremendous since the possibility of detecting a signal will be out of
the reach of the next generation of experiments.
