Coupling between cold dark matter and dark energy from neutrino mass
  experiments
  We consider cosmological models with dynamical dark energy (dDE) coupled to
cold dark matter (CDM), while simultaneously allowing neutrinos to be massive.
Using a MCMC approach, we compare these models with a wide range of
cosmological data sets. We find a strong correlation between this coupling
strength and the neutrino mass. This correlation persists when BAO data are
included in the analysis. We add then priors on $\nu$ mass from particle
experiments. The claimed detection of $\nu$ mass from the Heidelberg-Moscow
neutrinoless double--$\beta$ decay experiment would imply a 7--$8 \sigma$
detection of CDM-DE coupling. Similarly, the detection of $\nu$ mass from
coming KATRIN tritium $\beta$ decay experiment will imply a safe detection of a
coupling in the dark sector. Previous attempts to accommodate cosmic
phenomenology with such possible $\nu$ mass data made recourse to a $w < -1$
eoS. We compare such an option with the coupling option and find that the
latter allows a drastic improvement.
