Spoon or slide? The non-linear matter power spectrum in the presence of massive neutrinos

Abstract

Numerical simulations of massive neutrino cosmologies consistently find a spoon-like feature in the non-linear matter power spectrum ratios of cosmological models that differ only in the neutrino mass fraction f_N. Typically, the ratio approaches unity at low wave numbers k, decreases by ~ 10 f_N at k ~ 1 h/Mpc, and turns up again at large k. Using the halo model of large-scale structure, we show that this spoon feature originates in the transition from the two-halo power spectrum to the one-halo power spectrum. The former's sensitivity to f_N rises with k, while that of the latter decreases with k. The presence of this spoon feature is robust with respect to different choices of the halo mass function and the halo density profile, and does not require any parameter tuning within the halo model. We demonstrate that a standard halo model calculation is already able to predict the depth, width, and position of this spoon as well as its evolution with redshift z with remarkable accuracy. Predictions at z >= 1 can be further improved using non-linear perturbative inputs.

24 pages, 9 figures (matches accepted version)

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• Euclid: Modelling massive neutrinos in cosmology -- a code comparison
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• CSST Cosmological Emulator I: Matter Power Spectrum Emulation with one percent accuracy to k = 10 h/Mpc
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• One-point Statistics in various cosmic environments in the presence of massive neutrinos
• Clustering of dark matter in the cosmic web as a probe of massive neutrinos
• Emulating the Non-Linear Matter Power-Spectrum in Mixed Axion Dark Matter Models