The e-MANTIS emulator: fast and accurate predictions of the halo mass function in $f(R)$CDM and $w$CDM cosmologies
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arXiv
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2024
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| author | Sáez-Casares, I. Rasera, Y. Richardson, T. R. G. Corasaniti, P. -S. |
| author_facet | Sáez-Casares, I. Rasera, Y. Richardson, T. R. G. Corasaniti, P. -S. |
| contents | 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 $\leq 1.5$ and for halo masses $M_h\geq10^{13}\,h^{-1}M_\odot$. The typical HMF errors for SO haloes with $Δ=200\mathrm{c}$ at $z=0$ in $w$CDM (respectively $f(R)$CDM) are of order of $ε_0\simeq1.5\%$ ($ε_0\simeq4\%$) up to a transition mass $M_t\simeq2\cdot10^{14}\,h^{-1}M_\odot$ ($M_t\simeq6\cdot10^{13}\,h^{-1}M_\odot$). For larger masses, the errors are dominated by shot-noise and scale as $ε_0\cdot\left(M_h/M_t\right)^α$ with $α\simeq0.9$ ($α\simeq0.4$) up to $M_h \sim 10^{15}\,h^{-1}M_\odot$. 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2410_05226 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | The e-MANTIS emulator: fast and accurate predictions of the halo mass function in $f(R)$CDM and $w$CDM cosmologies Sáez-Casares, I. Rasera, Y. Richardson, T. R. G. Corasaniti, P. -S. Cosmology and Nongalactic Astrophysics 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 $\leq 1.5$ and for halo masses $M_h\geq10^{13}\,h^{-1}M_\odot$. The typical HMF errors for SO haloes with $Δ=200\mathrm{c}$ at $z=0$ in $w$CDM (respectively $f(R)$CDM) are of order of $ε_0\simeq1.5\%$ ($ε_0\simeq4\%$) up to a transition mass $M_t\simeq2\cdot10^{14}\,h^{-1}M_\odot$ ($M_t\simeq6\cdot10^{13}\,h^{-1}M_\odot$). For larger masses, the errors are dominated by shot-noise and scale as $ε_0\cdot\left(M_h/M_t\right)^α$ with $α\simeq0.9$ ($α\simeq0.4$) up to $M_h \sim 10^{15}\,h^{-1}M_\odot$. 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. |
| title | The e-MANTIS emulator: fast and accurate predictions of the halo mass function in $f(R)$CDM and $w$CDM cosmologies |
| topic | Cosmology and Nongalactic Astrophysics |
| url | https://arxiv.org/abs/2410.05226 |