Measuring neutrino mass and asymmetry with matter pairwise velocities

Abstract

Neutrinos are believed to be the most abundant fermions in the Universe, but their masses are unknown, except for being non-zero but much smaller than other fermions. Cosmological relic neutrinos could also have non-zero chemical potentials (or asymmetries). Using neutrino-involved N-body simulations, we investigate the neutrino effects on the matter pairwise velocity, which itself is an interesting probe of cosmology. We find that for light-halo ($[10^{11},10^{13}]M_{\odot }$) mean pairwise velocity, in the transition range ($[4,15]\mathrm{Mpc}$), the effects of neutrino masses overwhelm the effects of neutrino asymmetries, while in the two-halo-group range ($[25,50]\mathrm{Mpc}$), for both light and heavy haloes ($[10^{13},10^{15}]M_{\odot }$), the effects of neutrino asymmetries dominate, making it possible to disentangle the two effects. We provide fitting formulae to quantify the effects of neutrino mass and asymmetry on halo-halo pairwise velocities.

15 pages, 4 main + 3 appendix figures, accepted for publication in MNRAS; v3: fix symbol typo in Eq. (10)

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