We revisit our previous work [ Phys .
Rev .
D 95 , 096014 ( 2017 ) ] where neutrino oscillation and nonoscillation data were analyzed in the standard framework with three neutrino families , in order to constrain their absolute masses and to probe their ordering ( either normal , NO , or inverted , IO ) .
We include updated oscillation results to discuss best fits and allowed ranges for the two squared mass differences \delta m ^ { 2 } and \Delta m ^ { 2 } , the three mixing angles \theta _ { 12 } , \theta _ { 23 } and \theta _ { 13 } , as well as constraints on the CP-violating phase \delta , plus significant indications in favor of NO vs IO at the level of \Delta \chi ^ { 2 } = 10.0 .
We then consider nonoscillation data from beta decay , from neutrinoless double beta decay ( if neutrinos are Majorana ) , and from various cosmological input combinations dubbed as default , aggressive , and conservative .
In the default option , we obtain from nonoscillation data an extra contribution \Delta \chi ^ { 2 } \simeq 2.2 in favor of NO , and an upper bound on the sum of neutrino masses \Sigma < 0.15 eV at 2 \sigma ; both results —dominated by cosmology— can be strengthened or weakened by using more aggressive or conservative options , respectively .
Taking into account such variations , we find that the combination of all ( oscillation and nonoscillation ) neutrino data favors NO at the level of 3.2 – 3.7 \sigma , and that \Sigma is constrained at the 2 \sigma level within \Sigma < 0.12 - 0.69 eV .
The upper edge of this allowed range corresponds to an effective \beta -decay neutrino mass m _ { \beta } \simeq \Sigma / 3 \simeq 0.23 eV , at the sensitivity frontier of the KATRIN experiment .