On the redshift distribution and physical properties of DSFGs from ACT

We present multi-wavelength detections of nine candidate gravitationally-lensed dusty star-forming galaxies (DSFGs) selected at 218 GHz ($\sim$1.4 mm) from the ACT equatorial survey. These represent the subset of the total ACT sample lying in Herschel SPIRE fields, and all nine of the 218 GHz detections were found to have bright Herschel counterparts. By fitting their spectral energy distributions (SEDs) with a modified blackbody model with power-law temperature distribution, we find the sample has a median redshift of $z=4.1^{+1.1}_{-1.0}$ (68 percent confidence interval), as expected for 218 GHz selection, and an apparent total infrared luminosity of $\log_{10}({\mu L_{\rm IR}}/L_\odot) = 13.32^{+0.25}_{-0.19}$, which suggests that they are either strongly lensed sources with magnification $\mu=5-10$ or unresolved collections of unlensed DSFGs. The effective apparent diameter of the sample is $ {\sqrt{\mu}\,d} \sim 4.2^{+1.7}_{-1.0}$ kpc, further evidence of strong lensing or multiplicity as the typical diameter of dusty star-forming galaxies is $1-3$ kpc. Additionally, we find that the sources have substantial optical depth ($\tau = 4.2^{+3.7}_{-1.9}$) around the peak in the modified blackbody spectrum ($\lambda_{\rm obs} \le 500$ $\mu$m).