Bayesian and frequentist analyses show the equal-mass approximation for neutrino masses remains adequate for Planck+DESI data, provided the oscillation-motivated lower bounds on the neutrino mass sum are imposed.
Effects of the neutrino mass splitting on the non-linear matter power spectrum
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We have performed cosmological N-body simulations which include the effect of the masses of the individual neutrino species. The simulations were aimed at studying the effect of different neutrino hierarchies on the matter power spectrum. Compared to the linear theory predictions, we find that non-linearities enhance the effect of hierarchy on the matter power spectrum at mildly non-linear scales. The difference between the different hierarchies is about 0.5% for a sum of neutrino masses of 0.1eV. Albeit this is a small effect, it is potentially measurable from upcoming surveys. In combination with neutrinoless double-beta decay experiments, this opens up the possibility of using the sky to determine if neutrinos are Majorana or Dirac fermions.
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Revisiting the impact of neutrino mass hierarchies on neutrino mass constraints in light of recent DESI data
Bayesian and frequentist analyses show the equal-mass approximation for neutrino masses remains adequate for Planck+DESI data, provided the oscillation-motivated lower bounds on the neutrino mass sum are imposed.