Massive neutrinos and the non‐linear matter power spectrum

By Simeon Bird, M. Viel, M. Haehnelt. 2011

305 citations recorded by the source corpus.

We perform an extensive suite of N-body simulations of the matter power spectrum, incorporating massive neutrinos in the range Mν= 0.15–0.6 eV, probing the non-linear regime at scales k < 10 h Mpc−1 at z < 3. We extend the widely used halofit approximation to account for the effect of massive neutrinos on the power spectrum. In the strongly non-linear regime, halofit systematically overpredicts the suppression due to the free streaming of the neutrinos. The maximal discrepancy occurs at k∼ 1h Mpc−1, and is at the level of 10 per cent of the total suppression. Most published constraints on neutrino masses based on halofit are not affected, as they rely on data probing the matter power spectrum in the linear or mildly non-linear regime. However, predictions for future galaxy, Lyman α forest and weak lensing surveys extending to more non-linear scales will benefit from the improved approximation to the non-linear matter power spectrum we provide. Our approximation reproduces the induced neutrino suppression over the targeted scales and redshifts significantly better. We test its robustness with regard to changing cosmological parameters and a variety of modelling effects.

Subfields: Astronomy and Astrophysics, Nuclear and High Energy Physics

View Paper: https://www.semanticscholar.org/paper/e03e65dde38083c63264575699bfcf84b33ca8aa

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Citations in the corpus

A White Paper on keV sterile neutrino Dark Matter (2016, background): “N -body simulations show that the effect is even further enhanced to about 1−10fν through the non-linear clustering happening at a slightly later epoch [269].”
Status of Neutrino Properties and Future Prospects—Cosmological and Astrophysical Constraints (2017, methodology): “provided by the Halofit model [65], the Coyote Universe emulator [81], the semianalytical approach of PINOCCHIO [82], and additional methods referenced in”
Cosmological constraints from cosmic shear two-point correlation functions with HSC survey first-year data (2019, methodology): “In order to model the nonlinear matter power spectrum, we employ the fitting function by Bird et al. (2012), which is based on the halofit model (Smith et al. 2003; Takahashi et al. 2012) but is modified so as to include the effect of nonzero neutrino mass. Finally, the lensing efficiency function,…”
KiDS-450: testing extensions to the standard cosmological model (2016, methodology): “We compare the KiDS constraints in the ∑ mν–S8 plane to the case where the HALOFIT prescription (Bird et al. 2012; Takahashi et al. 2012) is used to model the non-linear matter power spectrum.”
DEMNUni: the clustering of large-scale structures in the presence of massive neutrinos (2015, methodology): “3) and the PHF−ν mm (k) fit of [41] are within 4%, with the latter ad-hoc fit not improving particularly over the former.”
An accurate halo model for fitting non-linear cosmological power spectra and baryonic feedback models (2015, methodology): “This fitting formula has been expanded by various authors; toinclude massive neutrinos (Bird et al. 2012) and f (R) modified gravity models (Zhao 2014).”
Neutrino Mass Ordering from Oscillations and Beyond: 2018 Status and Future Prospects (2018, background): “Methods range from perturbative attempts (Saito et al., 2008; Brandbyge and Hannestad, 2009; Shoji and Komatsu, 2010; Ali-Haimoud and Bird, 2012; Archidiacono and Hannestad, 2016; Upadhye et al., 2016; Dakin et al., 2017; Senatore and Zaldarriaga, 2017) to the fully non-linear inclusion…”
Cosmology with massive neutrinos I: towards a realistic modeling of the relation between matter, haloes and galaxies (2013, methodology): “For further details about this method we refer the reader to [30, 35, 37].”
Cosmological parameter constraints from galaxy-galaxy lensing and galaxy clustering with the SDSS DR7 (2012, methodology): “To test this procedure, we compare the resulting nonlinear to linear power spectrum correction for massive neutrinos to the full simulations presented in Bird et al. (2012).”
Accurate halo-model matter power spectra with dark energy, massive neutrinos and modified gravitational forces (2016, methodology): “3 where we see a per cent level match to simulations across all scales and a small improvement over the fitting formula of Bird et al. (2012).”