Abstract
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 variants (in the data or the model) leading to results dubbed as default, aggressive, and conservative. In the default option, we obtain from nonoscillation data an extra contribution $\Delta\chi^2 = 2.2$ 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 $m_\beta = \Sigma/3 = 0.23$ eV, at the sensitivity frontier of the KATRIN experiment.
Highlights
In a previous work [1] we discussed in detail the constraints on absolute neutrino masses and their ordering arising from a global analysis of world ν data available in 2017, within the standard framework for three neutrino families (3ν)
We have considered an alternative prior on H0 derived from the revised measurement of the Large Magellanic Cloud Tip of the Red Giant Branch extinction from Ref. [33] (Freedman et al 2020, dubbed F20), namely, H0ðF20Þ 1⁄4 69.6 Æ 1.9 km=s=Mpc, where the quoted statistical and systematics errors have been added in quadrature
We conclude this Addendum by merging the information coming from oscillation and nonoscillation data
Summary
In a previous work [1] we discussed in detail the constraints on absolute neutrino masses and their ordering arising from a global analysis of world ν data available in 2017, within the standard framework for three neutrino families (3ν). We provide updated estimates of mass-mixing oscillation parameters, discuss statistically significant indications in favor of the so-called “normal mass ordering” from (non)oscillation data, and present constraints on absolute ν masses, involving different combinations of cosmological data and models. IV we discuss recent nonoscillation results from single and double beta decay and from cosmology, with emphasis on the latter—in view of possible departures from “default” choices towards more “aggressive” or “conservative” options, altering the impact on the mass ordering and on absolute ν masses In the analysis of cosmological data, likelihoods are transformed into effective χ2 values as described in Ref. [1]
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