Fisher for complements: Extracting cosmology and neutrino mass from the counts-in-cells PDF
Résumé
We comprehensively analyse the cosmology dependence of counts-in-cells statistics. We focus on the shape of the one-point probability distribution function (PDF) of the matter density field at mildly non-linear scales. Based on large-deviation statistics, we parametrize the cosmology dependence of the matter PDF in terms of the linear power spectrum, the growth factor, the spherical collapse dynamics, and the non-linear variance. We extend our formalism to include massive neutrinos, finding that the total matter PDF is highly sensitive to the total neutrino mass M_ν and can disentangle it from the clustering amplitude σ_8. Using more than a million PDFs extracted from the Quijote simulations, we determine the response of the matter PDF to changing parameters in the νΛCDM model and successfully cross-validate the theoretical model and the simulation measurements. We present the first νΛCDM Fisher forecast for the matter PDF at multiple scales and redshifts, and its combination with the matter power spectrum. We establish that the matter PDF and the matter power spectrum are highly complementary at mildly non-linear scales. The matter PDF is particularly powerful for constraining the matter density Ω_m, clustering amplitude σ_8 and the total neutrino mass M_ν. Adding the mildly non-linear matter PDF to the mildly non-linear matter power spectrum improves constraints on Ω_m by a factor of 5 and σ_8 by a factor of 2 when considering the three lowest redshifts. In our joint analysis of the matter PDF and matter power spectrum at three redshifts, the total neutrino mass is constrained to better than 0.01 eV with a total volume of 6 (Gpc h^−1)^3. We discuss how density-split statistics can be used to translate those encouraging results for the matter PDF into realistic observables in galaxy surveys.
Mots clés
cosmology: theory -large-scale structure of Universe -methods: analytical
numerical
methods: analytical
methods: numerical
large-scale structure of Universe
cosmology: theory
neutrino: mass
matter: power spectrum
matter: density
matter: power spectrum: nonlinear
power spectrum: linear
neutrino: massive
mass: constraint
cosmological model: parameter space
statistics
redshift: dependence
distribution function
collapse
galaxy
Domaines
Astrophysique [astro-ph]Origine | Fichiers éditeurs autorisés sur une archive ouverte |
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