The Space Density of Luminous Dusty Star-forming Galaxies at Z > 4: Scuba-2 and Laboca Imaging of Ultrared Galaxies from Herschel-atlas

Until recently, only a handful of dusty, star-forming galaxies (DSFGs) were known at z > 4, most of them significantly amplified by gravitational lensing. Here, we have increased the number of such DSFGs substantially, selecting galaxies from the uniquely wide 250-, 350and 500-μm Herschel-ATLAS imaging survey on the basis of their extremely red far-infrared colors and faint 350and 500-μm flux densities – ergo they are expected to be largely unlensed, luminous, rare and very distant. The addition of ground-based continuum photometry at longer wavelengths from the James Clerk Maxwell Telescope (JCMT) and the Atacama Pathfinder Experiment (APEX) allows us to identify the dust peak in their spectral energy distributions (SEDs), better constraining their redshifts. We select the SED templates best able to determine photometric redshifts using a sample of 69 high-redshift, lensed DSFGs, then perform checks to assess the impact of the CMB on our technique, and to quantify the systematic uncertainty associated with our photometric redshifts, σ = 0.14(1 + z), using a sample of 25 galaxies with spectroscopic redshifts, each consistent with our color selection. For Herschel-selected ultrared galaxies with typical colors of S500/S250 ∼ 2.2 and S500/S350 ∼ 1.3 and flux densities, S500 ∼ 50 mJy, we determine a median redshift, ẑphot = 3.66, an interquartile redshift range, 3.30–4.27, with a median restframe 8–1000-μm luminosity, L̂IR, of 1.3× 1013 L⊙. A third lie at z > 4, suggesting a space density, ρz>4, of ≈ 6× 10−7 Mpc−3. Our sample contains the most luminous known star-forming galaxies, and the most over-dense cluster of starbursting proto-ellipticals yet found.