Papers › The e-MANTIS emulator: fast and accurate predictions of the halo mass function in...
The e-MANTIS emulator: fast and accurate predictions of the halo mass function in $f(R)$CDM and $w$CDM cosmologies
I. Sáez-Casares, Y. Rasera, T. R. G. Richardson, P. -S. Corasaniti
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In this work, we present a novel emulator of the halo mass function, which we implement in the framework of the e-mantis emulator of f(R) gravity models. We also extend e-mantis to cover a larger cosmological parameter space and to include models of dark energy with a constant equation of state $w$CDM. We use a Latin hypercube sampling of the $w$CDM and $f(R)$CDM cosmological parameter spaces, over a wide range, and realize a large suite of more than $10000$ N-body simulations of different volume, mass resolution and random phase of the initial conditions. For each simulation in the suite, we generate halo catalogues using the friends-of-friends halo finder, as well as the spherical overdensity algorithm for different overdensity thresholds. We decompose the corresponding halo mass functions on a B-spline basis, and use this decomposition to train an emulator based on Gaussian processes. The resulting emulator is able to predict the halo mass function for redshifts ≤1.5 and for halo masses Mₕ≥10¹³ h⁻¹M_⊙. The typical HMF errors for SO haloes with Δ=200c at z=0 in $w$CDM (respectively $f(R)$CDM) are of order of $\epsilon_0\simeq1.5\%$ ($\epsilon_0\simeq4\%$) up to a transition mass Mₜ≃2·10¹⁴ h⁻¹M_⊙ (Mₜ≃6·10¹³ h⁻¹M_⊙). For larger masses, the errors are dominated by shot-noise and scale as ϵ₀·(Mₕ/Mₜ)^α with α≃0.9 (α≃0.4) up to Mₕ ∼10¹⁵ h⁻¹M_⊙. Independently of this general trend, the emulator is able to provide an estimation of its own error as a function of the cosmological parameters, halo mass, and redshift. The e-mantis emulator, which is publicly available, can be used to obtain fast and accurate predictions of the halo mass function in the $f(R)$CDM and $w$CDM non-standard cosmological models.
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