Cosmic star formation history with tomographic cosmic infrared background-galaxy cross-correlation

Abstract

In this work, we probe the star formation history of the Universe using tomographic cross-correlation between the cosmic infrared background (CIB) and galaxy samples. The galaxy samples are from the Kilo-Degree Survey (KiDS), while the CIB maps are made from \planck\, sky maps. We measure the cross-correlation in harmonic space with a significance of 43$\sigma$. We model the cross-correlation with a halo model, which links CIB anisotropies to star formation rates (SFR) and galaxy abundance. We assume that SFR has a lognormal dependence on halo mass, while galaxy abundance follows the halo occupation distribution (HOD) model. The cross-correlations give a best-fit maximum star formation efficiency of ${\eta }_{\max }=0.41_{-0.14}^{+0.09}$ at a halo mass ${\log }_{10}(M_{\mathrm{peak}}/M_{\odot })=12.14\pm 0.36$. The derived star formation rate density (SFRD) is well constrained up to $z\sim 1.5$. The constraining power at high redshift is mainly limited by the KiDS survey depth. A combination with external SFRD measurements from previous studies gives ${\log }_{10}(M_{\mathrm{peak}}/M_{\odot })=12.42_{-0.19}^{+0.35}$. This tightens the SFRD constraint up to $z=4$, yielding a peak SFRD of $0.09_{-0.004}^{+0.003}{M}_{\odot }{\mathrm{year}}^{-1}{\mathrm{Mpc}}^{-3}$ at $z=1.74_{-0.02}^{+0.06}$, corresponding to a lookback time of $10.05_{-0.03}^{+0.12}$ Gyr. Both constraints are consistent, and the derived SFRD agrees with previous studies and simulations. Additionally, we estimate the galaxy bias $b$ of KiDS galaxies from the constrained HOD parameters and yield an increasing bias from $b=1.1_{-0.31}^{+0.17}$ at $z=0$ to $b=1.96_{-0.64}^{+0.18}$ at $z=1.5$. Finally, we provide a forecast for future galaxy surveys and conclude that, due to their considerable depth, future surveys will yield a much tighter constraint on the evolution of the SFRD.

22 pages, 14 figures, 3 tables, the abstract is abridged, published on A&A

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