Abstract
Aims . We explore the contribution of galaxies, as a function of their stellar mass, to the cosmic star formation history (CSFH). In order to avoid uncertain extrapolations of the infrared luminosity function, which is often polluted by the contribution of starbursts, we base our analysis on stellar mass. Attenuation by dust is accounted for thanks to the combination of deep surveys by Herschel and the Atacama Large Millimeter/submillimeter array (ALMA). Methods. We combined for the first time the deepest Herschel (GOODS-South, GOODS-North, COSMOS and UDS) and ALMA (GOODS-South) surveys. We constrained the star formation rate (SFR), dust mass ($M_ dust $), dust temperature ($T_ dust $) and gas mass ($M_ gas $) of galaxies as a function of their stellar mass ($M_ star $) from $z to $z by performing a stacking analysis of over 128,000 Hubble Space Telescope (HST) H -band selected galaxies. We studied the evolution of the star formation efficiency of galaxies as a function of redshift and $M_ star Results . We show that the addition of ALMA to Herschel allows us to reach lower $M_ star $ and higher redshifts. We confirm that the SFR-$M_ star $ star formation main sequence (MS) follows a linear evolution with a slope close to unity with a bending at the high-mass end at $z<2$. The mean $T_ dust $ of MS galaxies evolves linearly with redshift, with no apparent correlation with $M_ star $. We show that, up to $z massive galaxies (i.e. star M_ odot $) account for most of the total SFR density ($ SFR $), while the contribution of lower-mass galaxies (i.e. $M_ star M_ odot $) is rather constant. We compare the evolution of star-forming galaxy (SFGs) to the cosmological simulation TNG100. We find that TNG100 exhibits a noticeable difference in the evolution of the CSFH, that is, the marked evolution of massive galaxies found in the observations appears to be smoothed in the simulation, possibly due to feedback that is too efficient. In this mass complete analysis, $H$-dropout (also called HST-dark) galaxies account for $ 23<!PCT!>$ of the CSFH in massive galaxies at $z$$>$3. Finally, we find hints that the star formation efficiency of distant galaxies ($z$=3--5) is stronger (shorter depletion time) as compared to low-redshift galaxies.
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