Cosmology dependence of halo masses and concentrations in hydrodynamic simulations

We employ a set of Magneticum cosmological hydrodynamic simulations that span over 15 different cosmologies, and extract masses and concentrations of all well-resolved haloes between z = 0 and 1 for critical overdensities $\Delta _\textrm {vir}, \Delta _{200c}, \Delta _{500c}, \Delta _{2500c}$ and mean overdensity Δ_200m. We provide the first mass-concentration (Mc) relation and sparsity relation (i.e. M_Δ1 - M_Δ2 mass conversion) of hydrodynamic simulations that is modelled by mass, redshift, and cosmological parameters Ω_m, Ω_b, σ₈, h₀ as a tool for observational studies. We also quantify the impact that the Mc relation scatter and the assumption of Navarro-Frank-White (NFW) density profiles have on the uncertainty of the sparsity relation. We find that converting masses with the aid of an Mc relation carries an additional fractional scatter ( $\approx 4{{\ \rm per\ cent}}$ ) originated from deviations from the assumed NFW density profile. For this reason, we provide a direct mass-mass conversion relation fit that depends on redshift and cosmological parameters. We release the package HYDRO_MC, a PYTHON tool that perform all kind of conversions presented in this paper.