Neutrino masses and mass hierarchy: evidence for the normal hierarchy

The latest cosmological constraints on the sum of neutrino masses, in combination with laboratory measurements oscillations, provide ``decisive" Bayesian evidence for normal mass hierarchy. We show that this result holds across very different prior alternatives by exploring two extremes range choices. In fact, while specific numerical value Evidence depends choice prior, odds remain greater than 140:1 For Majorana neutrinos has important implications upper limit neutrino-less double beta decay half life and thus technology resources needed future experiments.