Astrophysics > Cosmology and Nongalactic Astrophysics
[Submitted on 15 Jun 2016 (v1), last revised 18 Nov 2016 (this version, v2)]
Title:Cosmology and the neutrino mass ordering
View PDFAbstract:We propose a simple method to quantify a possible exclusion of the inverted neutrino mass ordering from cosmological bounds on the sum of the neutrino masses. The method is based on Bayesian inference and allows for a calculation of the posterior odds of normal versus inverted ordering. We apply the method for a specific set of current data from Planck CMB data and large-scale structure surveys, providing an upper bound on the sum of neutrino masses of 0.14 eV at 95% CL. With this analysis we obtain posterior odds for normal versus inverted ordering of about 2:1. If cosmological data is combined with data from oscillation experiments the odds reduce to about 3:2. For an exclusion of the inverted ordering from cosmology at more than 95% CL, an accuracy of better than 0.02 eV is needed for the sum. We demonstrate that such a value could be reached with planned observations of large scale structure by analysing artificial mock data for a EUCLID-like survey.
Submission history
From: Thomas Schwetz [view email][v1] Wed, 15 Jun 2016 09:16:11 UTC (49 KB)
[v2] Fri, 18 Nov 2016 20:13:35 UTC (50 KB)
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