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We investigate constraints on neutrino mass ordering and degeneracy byconsidering the first cosmological result based on Planck measurements of thecosmic microwave background. It is shown that the result at 95% CL rejects aneutrino mass degeneracy larger than 85% (82.5%) for the normal (inverted)hierarchical case. We can also find some regions where the neutrino massordering will be able to be distinguished by combining a value of sum of theneutrino masses with an effective neutrino mass determined by neutrino-lessdouble beta decay experiments.

Constraints on neutrino mass ordering and degeneracy from Planck and neutrino-less double beta decay