High-accuracy emulators for observables in ΛCDM, Neff, Σmν, and w cosmologies

Author:

Bolliet Boris12ORCID,Spurio Mancini Alessio3ORCID,Hill J Colin4ORCID,Madhavacheril Mathew5ORCID,Jense Hidde T6,Calabrese Erminia6,Dunkley Jo78

Affiliation:

1. DAMTP, Centre for Mathematical Sciences , Wilberforce Road, Cambridge CB3 0WA , UK

2. Kavli Institute for Cosmology, University of Cambridge , Madingley Road, Cambridge CB3 0HA , UK

3. Mullard Space Science Laboratory, University College London , Dorking, RH5 6NT , UK

4. Department of Physics, Columbia University , New York, NY 10027 , USA

5. Department of Physics and Astronomy, University of Pennsylvania , Philadelphia, PA 19104 , USA

6. School of Physics and Astronomy, Cardiff University , The Parade, Cardiff, Wales CF24 3AA , UK

7. Department of Physics, Jadwin Hall, Princeton University , Princeton, NJ 08544 , USA

8. Department of Astrophysical Sciences, Peyton Hall, Princeton University , Princeton, NJ 08544 , USA

Abstract

ABSTRACT We use the emulation framework CosmoPower to construct and publicly release neural network emulators of cosmological observables, including the cosmic microwave background (CMB) temperature and polarization power spectra, matter power spectrum, distance-redshift relation, baryon acoustic oscillation (BAO) and redshift-space distortion (RSD) observables, and derived parameters. We train our emulators on Einstein–Boltzmann calculations obtained with high-precision numerical convergence settings, for a wide range of cosmological models including ΛCDM, wCDM, ΛCDM + Neff, and ΛCDM + Σmν. Our CMB emulators are accurate to better than 0.5 per cent out to ℓ = 104, which is sufficient for Stage-IV data analysis, and our P(k) emulators reach the same accuracy level out to $k=50 \, \, \mathrm{Mpc}^{-1}$, which is sufficient for Stage-III data analysis. We release the emulators via an online repository (CosmoPower Organisation), which will be continually updated with additional extended cosmological models. Our emulators accelerate cosmological data analysis by orders of magnitude, enabling cosmological parameter extraction analyses, using current survey data, to be performed on a laptop. We validate our emulators by comparing them to class and camb and by reproducing cosmological parameter constraints derived from Planck TT, TE, EE, and CMB lensing data, as well as from the Atacama Cosmology Telescope Data Release 4 CMB data, Dark Energy Survey Year-1 galaxy lensing and clustering data, and Baryon Oscillation Spectroscopic Survey Data Release 12 BAO and RSD data.

Funder

Simons Foundation

STFC

NSF

NASA

DOE

European Research Council

Publisher

Oxford University Press (OUP)

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