Neutrino Masses and Mass Hierarchy: Evidence for the Normal Hierarchy
  The latest cosmological constraints on the sum of neutrino masses, in
combination with the latest laboratory measurements on oscillations, provide a
"decisive" Bayesian evidence for the normal neutrino mass hierarchy. We show
that this result is robust to the choice of prior by exploring two extremes on
the range of prior choices. For Majorana neutrinos this has important
implications for the upper limit of the neutrino-less double beta decay half
life and thus for the technology and resources needed for future double beta
decay experiments.
