The Evolution of Stellar Mass and the Implied Star Formation History
Stephen M. Wilkins (1), Neil Trentham (1), Andrew M. Hopkins (2)((1), Institute of Astronomy, Cambridge, UK, (2) University of Sydney, Australia)

TL;DR
This paper compares the evolution of stellar mass density with star formation history across redshifts, revealing discrepancies at high redshift possibly due to measurement uncertainties or evolving stellar initial mass function.
Contribution
It provides a comprehensive compilation of stellar mass density measurements and analyzes the inconsistency between stellar mass evolution and instantaneous star formation indicators.
Findings
Good agreement between histories for z<0.7
Discrepancy peaks at z=3 with higher instantaneous SFR
Possible explanations include dust correction errors and IMF evolution
Abstract
We present a compilation of measurements of the stellar mass density as a function of redshift. Using this stellar mass history we obtain a star formation history and compare it to the instantaneous star formation history. For z<0.7 there is good agreement between the two star formation histories. At higher redshifts the instantaneous indicators suggest star formation rates larger than that implied by the evolution of the stellar mass density. This discrepancy peaks at z=3 where instantaneous indicators suggest a star formation rate around 0.6 dex higher than those of the best fit to the stellar mass history. We discuss a variety of explanations for this inconsistency, such as inaccurate dust extinction corrections, incorrect measurements of stellar masses and a possible evolution of the stellar initial mass function.
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