On the redshift distribution and physical properties of ACT-selected DSFGs

We present multi-wavelength detections of nine candidate gravitationally lensed dusty star-forming galaxies (DSFGs) selected at 218 GHz (1.4 mm) from the Atacama Cosmology Telescope (ACT) equatorial survey. Among the brightest ACT sources, 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 per cent confidence interval), as expected for 218 GHz selection, and an apparent total infrared luminosity of log _{10}(μ L_IR/L_{odot }) = 13.86^{+0.33}_{-0.30}, which suggests that they are either strongly lensed sources or unresolved collections of unlensed DSFGs. The effective apparent diameter of the sample is sqrt{μ }d= 4.2^{+1.7}_{-1.0} kpc, further evidence of strong lensing or multiplicity, since the typical diameter of DSFGs is 1.0-2.5 kpc. We emphasize that the effective apparent diameter derives from SED modelling without the assumption of optically thin dust (as opposed to image morphology). We find that the sources have substantial optical depth (tau = 4.2^{+3.7}_{-1.9}) to dust around the peak in the modified blackbody spectrum (λ_obs ≤ 500 μm), a result that is robust to model choice.