The effect of baryons on redshift space distortions and cosmic density and velocity fields in the EAGLE simulation

TL;DR

This study uses the EAGLE simulation to quantify baryonic effects on matter power spectra and velocity fields, finding small impacts on velocities but significant effects on the total matter distribution relevant for cosmological analyses.

Contribution

It provides detailed quantification of baryonic impacts on power spectra and velocities, highlighting their negligible effect on halo velocities but notable influence on matter distribution at certain scales.

Findings

Baryons affect the total matter power spectrum by over 1% at small scales.

Dark matter density field is influenced by baryons at about 3% on certain scales.

Halo velocities are impacted by less than 1 km/s, negligible for current precision cosmology.

Abstract

We use the EAGLE galaxy formation simulation to study the effects of baryons on the power spectrum of the total matter and dark matter distributions and on the velocity fields of dark matter and galaxies. On scales $k{\stackrel{>}{{}_\sim}} 4{h\,{\rm Mpc}^{-1}}$ the effect of baryons on the amplitude of the total matter power spectrum is greater than $1\%$. The back-reaction of baryons affects the density field of the dark matter at the level of $\sim3\%$ on scales of $1\leq k/({h\,{\rm Mpc}^{-1}})\leq 5$. The dark matter velocity divergence power spectrum at $k{\stackrel{<}{{}_\sim}}0.5{h\,{\rm Mpc}^{-1}}$ is changed by less than $1\%$. The 2D redshift-space power spectrum is affected at the level of $\sim6\%$ at $|\vec{k}|{\stackrel{>}{{}_\sim}} 1{h\,{\rm Mpc}^{-1}}$ (for $\mu>0.5$), but for $|\vec{k}|\leq 0.4{h\,{\rm Mpc}^{-1}}$ it differs by less than $1\%$. We report vanishingly small baryonic velocity bias for haloes: the peculiar velocities of haloes with $M_{200}>3\times10^{11}{{\rm M}_{\odot}}$ (hosting galaxies with $M_{*}>10^9{{\rm M}_{\odot}}$) are affected at the level of at most $1~$km/s, which is negligible for $1\%$-precision cosmology. We caution that since EAGLE overestimates cluster gas fractions it may also underestimate the impact of baryons, particularly for the total matter power spectrum. Nevertheless, our findings suggest that for theoretical modelling of redshift space distortions and galaxy velocity-based statistics, baryons and their back-reaction can be safely ignored at the current level of observational accuracy. However, we confirm that the modelling of the total matter power spectrum in weak lensing studies needs to include realistic galaxy formation physics in order to achieve the accuracy required in the precision cosmology era.