Constraining the Low-Mass Slope of the Star Formation Sequence at 0.5<z<2.5

TL;DR

This study precisely measures the slope of the star formation rate versus stellar mass relation at redshifts 0.5 to 2.5, revealing a mass-dependent slope and different evolutionary behaviors for low and high-mass galaxies, aiding galaxy formation models.

Contribution

It provides the first detailed measurement of the mass-dependent slope of the star formation sequence across a wide redshift range using a large, mass-complete galaxy sample.

Findings

The slope is steeper at low stellar masses than at high masses.

The specific SFR evolves differently for low-mass and high-mass galaxies with redshift.

The results reconcile theoretical models with observed galaxy formation behaviors.

Abstract

We constrain the slope of the star formation rate ($\log\Psi$) to stellar mass ($\log\mathrm{M_{\star}}$) relation down to $\log(\mathrm{M_{\star}/M_{\odot}})=8.4$ ($\log(\mathrm{M_{\star}/M_{\odot}})=9.2$) at $z=0.5$ ($z=2.5$) with a mass-complete sample of 39,106 star-forming galaxies selected from the 3D-HST photometric catalogs, using deep photometry in the CANDELS fields. For the first time, we find that the slope is dependent on stellar mass, such that it is steeper at low masses ($\log\mathrm{\Psi}\propto\log\mathrm{M_{\star}}$) than at high masses ($\log\mathrm{\Psi}\propto(0.3-0.6)\log\mathrm{M_{\star}}$). These steeper low mass slopes are found for three different star formation indicators: the combination of the ultraviolet (UV) and infrared (IR), calibrated from a stacking analysis of Spitzer/MIPS 24$\mu$m imaging; $\beta$-corrected UV SFRs; and H$\alpha$ SFRs. The normalization of the sequence evolves differently in distinct mass regimes as well: for galaxies less massive than $\log(\mathrm{M_{\star}/M_{\odot}})<10$ the specific SFR ($\Psi/\mathrm{M_{\star}}$) is observed to be roughly self-similar with $\Psi/\mathrm{M_{\star}}\propto(1+z)^{1.9}$, whereas more massive galaxies show a stronger evolution with $\Psi/\mathrm{M_{\star}}\propto(1+z)^{2.2-3.5}$ for $\log(\mathrm{M_{\star}/M_{\odot}})=10.2-11.2$. The fact that we find a steep slope of the star formation sequence for the lower mass galaxies will help reconcile theoretical galaxy formation models with the observations. The results of this study support the analytical conclusions of Leja et al. (2014).