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THE SPACE DENSITY OF LUMINOUS DUSTY STAR-FORMING GALAXIES AT z > 4: SCUBA-2 AND LABOCA IMAGING OF ULTRARED GALAXIES FROM HERSCHEL-ATLAS

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Published 2016 November 18 © 2016. The American Astronomical Society. All rights reserved.
, , Citation R. J. Ivison et al 2016 ApJ 832 78 DOI 10.3847/0004-637X/832/1/78

0004-637X/832/1/78

ABSTRACT

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, 350, and 500 μm Herschel-ATLAS imaging survey on the basis of their extremely red far-infrared colors and faint 350 and 500 μm flux densities, based on which, 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 and the Atacama Pathfinder Experiment allows us to identify the dust peak in their spectral energy distributions (SEDs), with which we can better constrain their redshifts. We select the SED templates that are 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, ${\hat{z}}_{\mathrm{phot}}=3.66$, an interquartile redshift range, 3.30–4.27, with a median rest-frame 8–1000 μm luminosity, ${\hat{L}}_{\mathrm{IR}}$, of 1.3 ×  1013 L. A third of the galaxies 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 overdense cluster of starbursting proto-ellipticals found to date.

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1. INTRODUCTION

The first deep submillimeter (submm) imaging surveys, which were made possible by large, ground-based telescopes equipped with highly multiplexed bolometer arrays (e.g., Kreysa et al. 1998; Holland et al. 1999), resolved a previously unknown population of submm-bright galaxies, or dusty star-forming galaxies (hereafter DSFGs, Smail et al. 1997; Barger et al. 1998; Hughes et al. 1998). Interferometric imaging refined the positions of these DSFGs sufficiently to allow conventional optical spectroscopic observations, and they were then shown to lie at z > 1 (e.g., Chapman et al. 2003), and to be a thousand times more numerous than their supposed local analogs, the ultraluminous infrared (IR) galaxies (ULIRGs, e.g., Sanders & Mirabel 1996).

The Spectral and Photometric Imaging Receiver (SPIRE, Griffin et al. 2010) on board Herschel (Pilbratt et al. 2010) gave astronomers a new tool for selecting dusty galaxies. Moreover, simultaneous imaging through three far-infrared filters at 250, 350, and 500 μm enables the selection of "ultrared DSFGs" in the early universe, z > 4. The space density and physical properties of the highest-redshift starbursts provide some of the most stringent constraints on galaxy-formation models, since these galaxies lie on the most extreme tail of the galaxy stellar mass function (e.g., Hainline et al. 2011).

Cox et al. (2011) were the first to search among the so-called "500 μm risers" (S250 < S350 < S500, where Sλ is the flux density at λ μm), reporting extensive follow-up observations of one of the brightest, reddest DSFGs in the first few 16 deg2 tiles of the ≈600 deg2 imaging survey, H-ATLAS (Herschel Astrophysical Terahertz Large Area Survey, Eales et al. 2010), a lensed starburst at z = 4.2, G15.141 or HATLAS J142413.9+022304, whose clear, asymmetric double-peaked CO lines betray an asymmetric disk or ring, and/or the near-ubiquitous merger found in such systems (Engel et al. 2010). Dowell et al. (2014) demonstrated the effectiveness of a similar SPIRE color-selection technique, finding 1HERMES S350 J170647.8+584623 at z = 6.3 (Riechers et al. 2013) in the northern 7 deg2 First Look Survey field (see also Asboth et al. 2016). Meanwhile, relatively wide and shallow surveys with the South Pole Telescope (SPT) have allowed the selection of large numbers of gravitationally lensed DSFGs (Vieira et al. 2010). These tend to contain cold dust and/or to lie at high redshifts (Vieira et al. 2013; Weiß et al. 2013; Strandet et al. 2016), due in part to their selection at wavelengths beyond 1 mm, which makes the survey less sensitive to warmer sources at z ≈ 1–3.

In this paper, we report efforts to substantially increase the number of ultrared DSFGs, using a similar color-selection method to isolate colder and/or most distant galaxies at z > 4, a redshift regime where samples are currently dominated by galaxies selected in the rest-frame ultraviolet (e.g., Ellis et al. 2013). Our goal here is to select galaxies that are largely unlensed, rare, and very distant, modulo the growing optical depth to lensing at increasing redshift. We hope to find the progenitors of the most distant quasars, of which more than a dozen are known to host massive (>108 M) black holes at z > 6 (e.g., Fan et al. 2001; Mortlock et al. 2011). We would expect to find several in an area of the size of H-ATLAS, ≈600 deg2, assuming that the duration of their starburst phase is commensurate with their time spent as "naked" quasars. We accomplish this by searching over the whole H-ATLAS survey area, that is, over an area greater by an order of magnitude than the earlier work in H-ATLAS.

We exploit both ground- and space-based observations, concentrating our efforts on a flux–density regime, S500 < 100 mJy, where most DSFGs are not expected to be boosted significantly by gravitational lensing (Negrello et al. 2010; Conley et al. 2011). We do this partly to avoid the uncertainties associated with lensing magnification corrections and differential magnification (e.g., Serjeant 2012), partly because the areal coverage of our Herschel survey would otherwise yield only a handful of targets, and partly because wider surveys with the SPT are better suited to finding the brighter, distant, and lensed population.

In the next section we describe our data acquisition and our methods of data reduction. We subsequently outline our sample selection criteria before presenting, analyzing, interpreting, and discussing our findings in Section 4. Our conclusions are outlined in Section 5. Follow-up spectral scans of a subset of these galaxies with the Atacama Large Millimeter Array (ALMA) and with the Institute Radioastronomie Millimetrique's Northern Extended Millimeter Array (NOEMA) are presented by Y. Fudamoto (2016, in preparation). Following the detailed ALMA study by Oteo et al. (2016a) of one extraordinarily luminous DSFG from this sample, I. Oteo (2016a, in preparation) present high-resolution continuum imaging of a substantial subset of our galaxies, from which the authors determine the size of the DSFG star-forming regions and assess the fraction affected by gravitational lensing. Submillimeter imaging of the environments of the reddest galaxies using the 12 m Atacama Pathfinder Telescope (APEX) is presented by A. Lewis (2016, in preparation). A detailed study of a cluster of starbursting proto-ellipticals centered on one of our reddest DSFGs is presented by I. Oteo (2016b, in preparation).

We adopt a cosmology with H0 = 71 km s−1 Mpc−1, Ωm = 0.27, and ΩΛ = 0.73.

2. SAMPLE SELECTION

2.1. Far-infrared Imaging

We use images created for the H-ATLAS Data Release 1 (Valiante et al. 2016), covering three equatorial fields with right ascensions of 9, 12, and 15 hr, the so-called GAMA09, GAMA12, and GAMA15 fields, each covering ≈54 deg2; in the north, we also have ≈170 deg2 of areal coverage in the North Galactic Pole (NGP) field; finally, in the south, we have ≈285 deg2 in the South Galactic Pole (SGP) field, making a total of ≈600 deg2. The acquisition and reduction of these Herschel parallel-mode data from SPIRE and PACS (Photoconductor Array Camera and Spectrometer, Poglitsch et al. 2010) for H-ATLAS are described in detail by Valiante et al. (2016). To briefly summarize: before the subtraction of a smooth background or the application of a matched filter, as described next in Section 2.2, the 250, 350, and 500 μm SPIRE maps exploited here have 6, 8, and 12'' pixels, point-spread functions (PSFs) with an azimuthally averaged fwhm of 17farcs8, 24farcs0, and 35farcs2, and mean instrumental [confusion] rms noise levels of 9.4 [7.0], 9.2 [7.5], and 10.6 [7.2] mJy, respectively, where ${\sigma }_{\mathrm{total}}=\sqrt{{\sigma }_{\mathrm{conf}}^{2}+{\sigma }_{\mathrm{instr}}^{2}}$.

2.2. Source Detection

Sources were identified and flux densities were measured using a modified version of the Multi-band Algorithm for source eXtraction (madx; S. Maddox et al. 2016, in preparation). madx first subtracted a smooth background from the SPIRE maps, and then filtered them with a "matched filter" appropriate for each band, designed to mitigate the effects of confusion (e.g., Chapin et al. 2011). At this stage, the map pixel distributions in each band have a highly non-Gaussian positive tail because of the sources in the maps, as discussed at length by Valiante et al. (2016) for the unfiltered maps.

Next, 2.2σ peaks were identified in the 250 μm map, and "first-pass" flux–density estimates were obtained from the pixel values at these positions in each SPIRE band. Subpixel positions were estimated by fitting to the 250 μm peaks, then more accurate flux densities were estimated using bicubic interpolation to these improved positions. In each band, the sources were sorted in order of decreasing flux density using the first-pass pixel values, and a scaled PSF was subtracted from the map, leaving a residual map that we used to estimate fluxes for any fainter sources. This step prevents the flux densities of faint sources from being overestimated when they lie near brighter sources. In the modified version of madx, the PSF subtraction was applied only for sources with 250 μm peaks greater than 3.2σ. The resulting 250 μm selected sources were labeled bandflag = 1, and the pixel distribution in the residual 250 μm map is now close to Gaussian, since all of the bright 250 μm sources have been subtracted.

The residual 350 μm map, in which the pixel distribution retains a significant non-Gaussian positive excess, was then searched for sources, using the same algorithms as for the initial 250 μm selection. Sources with a peak significance higher than 2.4σ in the 350 μm residual map were saved as bandflag = 2 sources. Next, the residual 500 μm map was searched for sources, and 2.0σ peaks were saved as bandflag = 3 sources.

Although the pixel distributions in the final 350 and 500 μm residual images are much closer to Gaussian than the originals, a significant non-Gaussian positive tail remains because PSFs were subtracted from sources that are not well fit by the PSF. Some of these are multiple sources detected as a single blend, while some are extended sources. Since even a single, bright, extended source can leave hundreds of pixels with large residuals—comparable to the residuals from multiple faint red sources—it is currently not feasible to disentangle the two.

For the final catalog, we keep sources only if they are above 3.5σ in any one of the three SPIRE bands. For each source, the astrometric position was determined by the data in the initial detection band. No correction for flux boosting has been applied.24 The catalog thus created contains 7 ×  105 sources across the five fields observed as part of H-ATLAS.

2.3. Parent Sample of Ultrared DSFG Candidates

Definition of our target sample began with the 7961 sources detected at ≥3.5σ at 500 μm, with S500/S250 ≥ 1.5 and S500/S350 ≥ 0.85, as expected for DSFGs at z ≳ 4 (see the redshift tracks of typical DSFGs, e.g., the Cosmic Eyelash, SMM J2135−0102, Ivison et al. 2010; Swinbank et al. 2010, in Figure 1), of which 29%, 42%, and 29% are bandflag = 1, 2, and 3, respectively.

Figure 1.

Figure 1. S350/S500 vs. S250/S500 for our sample, overlaid with the redshift tracks expected for a galaxy with the SED of the Cosmic Eyelash (Ivison et al. 2010; Swinbank et al. 2010) and for two SED templates that were synthesized for submm-selected DSFGs by Pope et al. (2008) and Swinbank et al. (2014, ALESS). To match our color-selection criteria, galaxies must have S500/S250 ≥ 1.5 and S500/S350 ≥ 0.85 and thus lie in the top right region of the plot. The points representing our sample (and the redshift track) are color-coded according to their photometric redshifts, as described in Section 4.2. The z = 4 points on the redshift tracks are marked with orange stars. A representative color uncertainty is shown. Sources from the Phase 1 data release of H-ATLAS lie in the black-pink cloud (Valiante et al. 2016).

Standard image High-resolution image

2.3.1. Conventional Completeness

To calculate the fraction of real, ultrared DSFGs excluded from the parent sample because of our source detection procedures, we injected 15,000 fake, PSF-convolved point sources into our H-ATLAS images (following Valiante et al. 2016) with colors corresponding to the spectral energy distribution (SED) of a typical DSFG, the Cosmic Eyelash, at redshifts between 0 and 10. The mean colors of these fake sources were S500/S250 = 2.25 and S500/S350 = 1.16, cf. the median colors for the sample chosen for ground-based imaging (Section 2.3.2), S500/S250 = 2.15 and S500/S350 = 1.26, which means that the colors are similar. Values of S250 were set to give a uniform distribution in log10 S250. We then reran the same source detection process described above (Section 2.2) as for the real data, matching the resulting catalog to the input fake catalog.

To determine the completeness for the ultrared sources, we have examined how many of the recovered fake sources match our color criteria as a function of input S500 and bandflag. Figure 2 shows how adding the bandflag = 2 and 3 sources improves the completeness: the blue line is for bandflag = 1 only; magenta is for bandflag = 1 and 2, and black shows bandflag = 1, 2, and 3. Selecting only at 250 μm yields a completeness of 80% at 100 mJy; including bandflag = 2 sources pushes us down to 50 mJy; using all three bandflag values gets us down to 30 mJy. We estimate a completeness at the flux–density and color limits of the sample presented here of 77 ± 3%.

Figure 2.

Figure 2. Completeness as a function of 500 μm flux density as assessed by injecting fake sources with colors consistent with the SEDs of the ultrared DSFGs we expect to detect. For the individual fake SPIRE images (see Section 2.3.1), completeness is consistent with expectations for sources at a given signal-to-noise ratio. Using all three bandflag values results in a relatively high level of completeness (77 ± 3%) down to 30 mJy, the flux–density level (marked with a dotted line) at which we have selected our sample. Adding the bandflag = 2 and 3 sources significantly improves the completeness.

Standard image High-resolution image

2.3.2. Eyeballing

Of these sources, a subset of 2725 were eyeballed by a team of five (R.J.I., A.J.R.L., V.A., A.O., H.D.) to find a reliable subsample for imaging with SCUBA-2 and LABOCA. As a result of this step, 708 (26 ± 5%) of the eyeballed sources were deemed suitable for ground-based follow-up observations, where the uncertainty is taken to be the scatter among the fractions determined by individual members of the eyeballing team. Figure 3 shows typical examples of the remainder—those not chosen25 —usually because visual inspection revealed that blue (250 μm) emission had been missed or underestimated by madx (49% of cases). None of these are likely to be genuine ultrared DSFGs. The next most common reason for rejection (22% of cases) was heavy confusion, such that the assigned flux densities and colors were judged to be unreliable. For the remaining 3%, the 350 and/or 500 μm morphologies were suggestive of Galactic cirrus or an imaging artifact.

Figure 3.

Figure 3. Herschel SPIRE imaging of candidate ultrared DSFGs from our parent sample of 7961 sources, each displayed from −6 to +60 mJy beam−1, chosen to illustrate the different reasons that sources were excluded from the sample to be observed by SCUBA-2 and LABOCA by our eyeballing team. In each column, from left to right, we show 250, 350, and 500 μm cut-out images, each 3' ×  3' and centered on the (labeled) galaxy. The 250 μm cut-out images have been convolved with a 7'' Gaussian. North is up and east is left. The field labeled 19560 is an example where emission from one or more 250 μm sources is missed or dealt with poorly by madx, leading to misleading colors. None of the candidates in this category are likely to be genuine ultrared DSFGs. The examples labeled 36016, 35811, and 86201 show confused regions in which the madx flux densities and colors were judged unreliable. We estimate that up to ≈55% of these fields could contain genuine ultrared DSFGs. The bright galaxy in the field labeled 98822 has led to a spurious detection by madx. Such examples are rare, fortunately, and madx is in fact capable of identifying plausible ultrared DSFGs alongside very bright, local galaxies, as illustrated in the lower row for the field labeled 58405.

Standard image High-resolution image

2.3.3. Completeness Issues Related to Eyeballing

Our team of eyeballers estimated that up to 14% of the candidates excluded by our eyeballing team—i.e., up to 55% of those in the latter two categories discussed in Section 2.3.2, or plausibly roughly half as many again as those deemed suitable for ground-based follow-up observations—could in fact be genuine ultrared DSFGs. Phrased another way, the procedure was judged to recover at least 64% of the genuine ultrared DSFGs in the parent sample.

Without observing a significant subset of the parent sample with SCUBA-2 or LABOCA, which would be prohibitively costly and inefficient, it is not possible to know exactly what fraction of genuine ultrared DSFGs were missed because of our eyeballing procedure. However, it is possible to determine the fraction of sources that were missed in a more quantitative manner than we have accomplished thus far. To do this, a sample of 500 fake injected ultrared sources—with the same flux density and color distribution as the initial sample—were given to the same team of eyeballers for classification, using the same criteria they had used previously, along with the same number of real, ultrared DSFG candidates. The fraction of genuine ultrared DSFGs accepted by the eyeballing team was then taken to be the fraction of fake injected sources assessed to be worthy of follow-up observations during this eyeballing process: the result was 69 ± 8%, that is, at least 64%, as estimated earlier by the eyeballing team.

2.4. Summary of Issues Affecting Sample Completeness

Since we have faced a considerable number of completeness issues, it is worth summarizing their influence on our sample.

Based on robust simulations, we estimate that ${{ \mathcal C }}_{\mathrm{MADX}}=77\pm 3$% of genuine ultrared DSFGs made it through our madx cataloging procedures; of these, we eyeballed ${{ \mathcal C }}_{\mathrm{eye}}=34$%, of which 26 ± 5% were deemed suitable for follow-up observations with SCUBA-2 and/or LABOCA by our eyeballing team. A final set of simulations suggest that the eyeballing process was able to recover ${{ \mathcal C }}_{\mathrm{check}}=69\pm 8$% of the available ultrared DSFG population from the parent madx catalog.

Of those selected for further study, a random subset of 109 were observed with SCUBA-2 and/or LABOCA (Section 3), just over ${{ \mathcal C }}_{\mathrm{obs}}=15$% of the sample available from our eyeballing team. Their SPIRE colors are shown in Figure 1. The bandflag = 1, 2, and 3 subsets make up 48, 53, and 8 of this final sample, respectively.

To estimate the number of z > 4 DSFGs across our survey fields detectable to S500 > 30 mJy with S500/S250 ≥ 1.5 and S500/S350 ≥ 0.85, we must scale up the number of z > 4 DSFGs found among these 109 targets by ${{ \mathcal C }}_{\mathrm{MADX}}\times {{ \mathcal C }}_{\mathrm{eye}}\times {{ \mathcal C }}_{\mathrm{check}}\times {{ \mathcal C }}_{\mathrm{obs}}{)}^{-1}\,=36.0\pm 8.2$, where we have included (in quadrature) the uncertainty in the fraction deemed suitable for follow-up observations with SCUBA-2 and/or LABOCA. In a more conventional sense, the completeness is ${ \mathcal C }=0.028\pm 0.006$.

We note that although we are unable to satisfactorily quantify the number of DSFGs scattered by noise from the cloud shown in the bottom left corner of Figure 1 into our ultrared DSFG color regime, these DSFGs will be among the fraction shown to lie at zphot < 4 (Section 4.2), and so a further correction to the space density of z > 4 DSFGs (Section 4.3) is not required.

3. SUBMM OBSERVATIONS AND DATA REDUCTION

3.1.  $850\,\mu {\rm{m}}$ Continuum Imaging with SCUBA-2

Observations of 109 ultrared DSFGs were obtained using SCUBA-2 (Holland et al. 2013), scheduled flexibly during the period 2012–13, in good or excellent weather. The precipitable water vapor (PWV) was in the range 0.6–2.0 mm, corresponding to zenith atmospheric opacities of ≈0.2–0.4 in the SCUBA-2 filter centered at 850 μm with a passband width to half power of 85 μm. The fwhm of the main beam is 13farcs0 at 850 μm before smoothing, with around 25% of the total power in the much broader [49''] secondary component (see Holland et al. 2013).

The observations were undertaken while moving the telescope at a constant speed in a so-called daisy pattern (Holland et al. 2013), which provides uniform exposure-time coverage in the central 3'-diameter region of a field, but useful coverage over 12'.

Around 10–15 minutes were typically spent integrating on each target (see Table 1), sufficient to detect 850 μm emission robustly for z > 4 far-IR-bright galaxies with a characteristic temperature of 10–100 k.

Table 1.  Targets and Their Properties

IAU Name Nickname BANDFLAG S250 S350 S500 ${S}_{850}^{\mathrm{peak}}$ ${S}_{850}^{45}$ ${S}_{850}^{60}$ Date
      /mJy /mJy /mJy /mJy /mJy /mJy Observeda
HATLAS 085612.1−004922 G09−47693 1 27.4 ± 7.3 34.4 ± 8.1 45.4 ± 8.6 12.5 ± 4.0 6.4 ± 9.1 5.4 ± 10.8 2012 Apr 28
HATLAS 091642.6+022147 G09−51190 1 28.5 ± 7.6 39.5 ± 8.1 46.6 ± 8.6 15.2 ± 3.8 28.3 ± 7.3 24.2 ± 8.7 2012 Dec 21
HATLAS 084113.6−004114 G09−59393 1 24.1 ± 7.0 43.8 ± 8.3 46.8 ± 8.6 23.7 ± 3.5 27.7 ± 5.6 12.4 ± 9.8 2012 Apr 27
HATLAS 090925.0+015542 G09−62610 1 18.6 ± 5.4 37.3 ± 7.4 44.3 ± 7.8 19.5 ± 4.9 23.1 ± 9.0 32.7 ± 14.4 2012 Mar 06
HATLAS 091130.1−003846 G09−64889 1 20.2 ± 5.9 30.4 ± 7.7 34.7 ± 8.1 15.1 ± 4.3 4.4 ± 8.9 −21.2 ± 10.0 2012 Dec 16
HATLAS 083909.9+022718 G09−79552 2 16.6 ± 6.2 38.1 ± 8.1 42.8 ± 8.5 17.0 ± 3.6 11.1 ± 7.3 3.2 ± 14.0 2013 Mar 09
HATLAS 090419.9−013742 G09−79553 2 14.0 ± 5.9 36.8 ± 8.0 35.9 ± 8.4 16.8 ± 3.7 20.1 ± 7.1 14.4 ± 10.1 2013 Mar 09
HATLAS 084659.0−004219 G09−80620 2 13.5 ± 5.0 25.3 ± 7.4 28.4 ± 7.7 13.2 ± 4.3 6.8 ± 9.8 −9.7 ± 9.3 2012 Dec 16
HATLAS 085156.0+020533 G09−80658 2 17.8 ± 6.4 31.6 ± 8.3 39.5 ± 8.8 17.6 ± 4.1 13.6 ± 9.4 24.0 ± 9.4 2013 Mar 09
HATLAS 084937.0+001455 G09−81106 2 14.0 ± 6.0 30.9 ± 8.2 47.5 ± 8.8 30.2 ± 5.2 37.4 ± 11.4 37.0 ± 12.0 2012 Dec 18
HATLAS 084059.3−000417 G09−81271 2 15.0 ± 6.1 30.5 ± 8.2 42.3 ± 8.6 29.7 ± 3.7 35.8 ± 6.4 44.2 ± 10.6 2013 Mar 09
HATLAS 090304.2−004614 G09−83017 2 10.2 ± 5.7 26.4 ± 8.0 37.2 ± 8.8 16.1 ± 4.4 17.9 ± 9.4 1.7 ± 9.1 2012 Dec 16
HATLAS 090045.4+004125 G09−83808 2 9.7 ± 5.4 24.6 ± 7.9 44.0 ± 8.2 36.0 ± 3.1 36.2 ± 9.1 23.5 ± 10.4 2012 Dec 16
HATLAS 083522.1+005228 G09−84477 2 20.0 ± 6.6 27.3 ± 8.3 31.6 ± 9.0 7.6 ± 3.8 −6.5 ± 7.4 −25.8 ± 8.9 2012 Apr 27
HATLAS 090916.2+002523 G09−87123 2 10.4 ± 5.8 25.3 ± 8.2 39.2 ± 8.7 20.7 ± 4.6 24.5 ± 9.3 43.7 ± 12.4 2012 Dec 16
HATLAS 090855.6+015638 G09−100369 2 15.4 ± 5.5 17.3 ± 7.6 32.3 ± 8.0 13.2 ± 3.6 22.1 ± 8.2 14.3 ± 9.8 2013 Mar 09
HATLAS 090808.9+015459 G09−101355 3 9.5 ± 5.5 14.6 ± 7.9 33.4 ± 8.3 13.5 ± 4.9 −2.5 ± 10.0 −40.2 ± 12.7 2012 Dec 16
HATLAS 115415.5−010255 G12−34009 1 30.2 ± 7.2 36.3 ± 8.2 60.4 ± 8.7 39.9 ± 4.2 38.9 ± 9.0 38.2 ± 17.5 2013 Mar 09
HATLAS 114314.6+002846 G12−42911 1 21.2 ± 5.8 44.1 ± 7.4 53.9 ± 7.7 35.4 ± 3.6 32.8 ± 7.0 21.0 ± 8.0 2012 Apr 27
HATLAS 114412.1+001812 G12−66356 1 18.3 ± 5.4 26.5 ± 7.4 32.9 ± 7.8 11.2 ± 4.6 −7.5 ± 8.8 −2.2 ± 12.5 2012 Dec 18
HATLAS 114353.5+001252 G12−77450 2 14.8 ± 5.1 27.3 ± 7.4 35.9 ± 7.7 11.9 ± 4.1 −0.3 ± 7.9 −6.3 ± 8.7 2012 Apr 27
HATLAS 115012.2−011252 G12−78339 2 17.0 ± 6.2 30.8 ± 8.1 31.6 ± 9.0 18.1 ± 4.3 31.3 ± 8.9 33.3 ± 11.2 2012 Apr 27
HATLAS 115614.2+013905 G12−78868 2 13.1 ± 5.9 29.5 ± 8.2 49.0 ± 8.5 12.2 ± 3.5 13.6 ± 6.4 5.8 ± 9.6 2012 Apr 27
HATLAS 114038.8−022811 G12−79192 2 15.8 ± 6.3 28.6 ± 8.1 34.1 ± 8.8 5.1 ± 3.5 −4.3 ± 6.4 −17.4 ± 7.8 2012 Dec 21
HATLAS 113348.0−002930 G12−79248 2 18.4 ± 6.2 29.5 ± 8.2 42.0 ± 8.9 27.6 ± 5.0 62.4 ± 9.8 71.3 ± 12.0 2012 Dec 18
HATLAS 114408.1−004312 G12−80302 2 15.9 ± 6.2 27.2 ± 8.1 35.9 ± 9.0 6.0 ± 3.8 −15.0 ± 8.9 −28.8 ± 9.5 2012 Apr 27
HATLAS 115552.7−021111 G12−81658 2 14.9 ± 6.1 26.5 ± 8.1 36.8 ± 8.7 1.0 ± 4.4 −25.5 ± 8.7 −32.0 ± 12.2 2012 Dec 21
HATLAS 113331.1−003415 G12−85249 2 13.3 ± 6.1 25.0 ± 8.3 31.4 ± 8.8 4.4 ± 2.7 −0.3 ± 5.7 −3.3 ± 6.6 2012 Dec 18
HATLAS 115241.5−011258 G12−87169 2 13.5 ± 6.0 23.5 ± 8.2 33.5 ± 8.8 6.9 ± 4.0 9.8 ± 9.2 6.1 ± 9.6 2012 Dec 21
HATLAS 114350.1−005211 G12−87695 2 19.0 ± 6.4 23.9 ± 8.3 30.7 ± 8.7 15.6 ± 3.9 2.2 ± 7.1 −6.2 ± 10.4 2012 Dec 21
HATLAS 142208.7+001419 G15−21998 1 36.0 ± 7.2 56.2 ± 8.1 62.6 ± 8.8 13.2 ± 3.4 7.2 ± 7.0 7.3 ± 9.0 2012 Apr 26
HATLAS 144003.9−011019 G15−24822 1 33.9 ± 7.1 38.6 ± 8.2 58.0 ± 8.8 8.0 ± 3.5 5.8 ± 7.5 1.4 ± 9.0 2012 Apr 27
HATLAS 144433.3+001639 G15−26675 1 26.8 ± 6.3 57.2 ± 7.4 61.4 ± 7.7 45.6 ± 3.6 36.6 ± 10.3 27.9 ± 9.6 2012 Apr 27
HATLAS 141250.2−000323 G15−47828 1 28.0 ± 7.4 35.1 ± 8.1 45.3 ± 8.8 19.6 ± 4.5 15.1 ± 9.3 10.7 ± 10.8 2012 Jul 28
HATLAS 142710.6+013806 G15−64467 1 20.2 ± 5.8 28.0 ± 7.5 33.4 ± 7.8 18.7 ± 4.9 30.7 ± 10.8 39.2 ± 16.2 2013 Mar 09
HATLAS 143639.5−013305 G15−66874 1 22.9 ± 6.6 34.9 ± 8.1 35.8 ± 8.5 27.3 ± 5.3 34.1 ± 12.5 29.2 ± 12.6 2012 Jul 27
HATLAS 140916.8−014214 G15−82412 1 21.2 ± 6.6 30.8 ± 8.1 41.9 ± 8.8 17.2 ± 4.4 9.4 ± 8.1 6.2 ± 10.9 2012 Jul 28
HATLAS 145012.7+014813 G15−82684 2 17.3 ± 6.4 38.5 ± 8.1 43.2 ± 8.8 18.5 ± 4.1 15.3 ± 8.2 5.5 ± 9.3 2012 Apr 27
HATLAS 140555.8−004450 G15−83543 2 16.5 ± 6.4 32.3 ± 8.1 40.2 ± 8.8 13.7 ± 4.7 18.3 ± 10.0 18.4 ± 9.5 2012 Jul 28
HATLAS 143522.8+012105 G15−83702 2 14.0 ± 6.1 30.6 ± 8.0 33.1 ± 8.7 7.9 ± 4.6 4.7 ± 8.3 −0.4 ± 11.2 2012 Jul 27
HATLAS 141909.7−001514 G15−84546 2 11.5 ± 4.7 23.7 ± 7.4 30.3 ± 7.7 19.4 ± 5.0 10.2 ± 9.3 7.4 ± 12.2 2012 Jul 27
HATLAS 142647.8−011702 G15−85113 2 10.5 ± 5.7 29.6 ± 8.2 34.9 ± 8.7 8.7 ± 3.4 1.6 ± 6.9 5.2 ± 7.5 2012 Apr 27
HATLAS 143015.0+012248 G15−85592 2 12.9 ± 5.0 23.5 ± 7.5 33.9 ± 7.9 4.7 ± 5.6 6.3 ± 11.7 −4.3 ± 13.7 2012 Jul 27
HATLAS 142514.7+021758 G15−86652 2 15.6 ± 6.0 28.1 ± 8.2 38.5 ± 8.9 11.4 ± 3.8 5.1 ± 5.8 4.3 ± 7.8 2012 Apr 26
HATLAS 140609.2+000019 G15−93387 2 15.5 ± 6.1 23.6 ± 8.2 35.6 ± 8.5 8.8 ± 3.0 14.9 ± 6.8 15.7 ± 8.5 2012 Apr 27
HATLAS 144308.3+015853 G15−99748 2 14.0 ± 5.8 22.4 ± 8.3 31.5 ± 8.8 12.2 ± 3.8 5.0 ± 6.4 17.9 ± 9.7 2012 Apr 26
HATLAS 143139.7−012511 G15−105504 3 15.0 ± 6.6 15.6 ± 8.4 35.9 ± 9.0 8.5 ± 3.8 9.9 ± 8.1 11.8 ± 9.5 2012 Jul 27
HATLAS 134040.3+323709 NGP−63663 1 30.6 ± 6.8 53.5 ± 7.8 50.1 ± 8.1 15.5 ± 4.1 7.9 ± 8.3 −12.5 ± 9.2 2012 Apr 28
HATLAS 131901.6+285438 NGP−82853 1 23.6 ± 5.8 37.6 ± 7.3 40.5 ± 7.5 15.8 ± 3.6 2.1 ± 5.2 −3.8 ± 7.8 2012 Jun 23
HATLAS 134119.4+341346 NGP−101333 1 32.4 ± 7.5 46.5 ± 8.2 52.8 ± 9.0 24.6 ± 3.8 17.6 ± 8.2 13.0 ± 9.2 2012 Apr 28
HATLAS 125512.4+251358 NGP−101432 1 27.7 ± 6.9 44.8 ± 7.8 54.1 ± 8.3 24.3 ± 4.0 32.0 ± 7.2 41.9 ± 10.9 2012 Jun 23
HATLAS 130823.9+254514 NGP−111912 1 25.2 ± 6.5 41.5 ± 7.6 50.2 ± 8.0 14.9 ± 3.9 8.8 ± 6.7 2.3 ± 9.1 2012 Apr 26
HATLAS 133836.0+273247 NGP−113609 1 29.4 ± 7.3 50.1 ± 8.0 63.5 ± 8.6 21.9 ± 3.5 12.5 ± 6.2 9.2 ± 9.5 2012 Apr 26
HATLAS 133217.4+343945 NGP−126191 1 24.5 ± 6.4 31.3 ± 7.7 43.7 ± 8.2 29.7 ± 4.3 37.2 ± 7.5 45.1 ± 11.6 2012 Apr 28
HATLAS 130329.2+232212 NGP−134174 1 27.6 ± 7.3 38.3 ± 8.4 42.9 ± 9.4 11.4 ± 4.0 21.3 ± 7.4 11.7 ± 8.9 2012 Apr 26
HATLAS 132627.5+335633 NGP−136156 1 29.3 ± 7.4 41.9 ± 8.3 57.5 ± 9.2 23.4 ± 3.4 29.7 ± 4.6 27.7 ± 9.8 2012 Apr 26
HATLAS J130545.8+252953 NGP−136610 1 23.1 ± 6.2 39.3 ± 7.7 46.3 ± 8.3 19.4 ± 3.6 34.6 ± 7.5 29.3 ± 9.9 2012 Jul 12
HATLAS J130456.6+283711 NGP−158576 1 23.4 ± 6.3 38.5 ± 7.7 38.2 ± 8.1 13.1 ± 4.0 12.0 ± 7.3 15.8 ± 10.2 2012 Apr 26
HATLAS J130515.8+253057 NGP−168885 1 21.2 ± 6.0 35.2 ± 7.7 45.3 ± 8.0 26.5 ± 3.8 17.8 ± 7.2 4.7 ± 8.9 2013 Mar 09
HATLAS J131658.1+335457 NGP−172391 1 25.1 ± 7.1 39.2 ± 8.1 52.3 ± 9.1 15.4 ± 3.1 7.2 ± 6.0 5.3 ± 8.6 2012 Apr 26
HATLAS J125607.2+223046 NGP−185990 1 24.3 ± 7.0 35.6 ± 8.1 41.7 ± 8.9 33.6 ± 4.1 18.4 ± 9.9 13.4 ± 12.0 2013 Mar 09
HATLAS J133337.6+241541 NGP−190387 1 25.2 ± 7.2 41.9 ± 8.0 63.3 ± 8.8 37.4 ± 3.8 33.4 ± 8.0 29.4 ± 10.0 2012 Apr 26
HATLAS J125440.7+264925 NGP−206987 1 24.1 ± 7.1 39.2 ± 8.2 50.1 ± 8.7 22.7 ± 3.7 17.5 ± 6.5 25.7 ± 9.4 2012 Apr 26
HATLAS J134729.9+295630 NGP−239358 1 21.3 ± 6.6 28.7 ± 8.1 33.9 ± 8.7 15.2 ± 5.1 39.5 ± 13.0 61.5 ± 15.7 2013 Mar 09
HATLAS J133220.4+320308 NGP−242820 2 18.1 ± 6.1 35.4 ± 7.9 33.8 ± 8.6 14.7 ± 3.9 10.5 ± 7.8 −4.6 ± 9.4 2012 Apr 26
HATLAS J130823.8+244529 NGP−244709 2 23.1 ± 6.9 34.2 ± 8.2 34.9 ± 8.7 17.4 ± 4.0 15.6 ± 9.7 24.0 ± 11.5 2013 Mar 09
HATLAS J134114.2+335934 NGP−246114 2 17.3 ± 6.5 30.4 ± 8.1 33.9 ± 8.5 25.9 ± 4.6 32.4 ± 8.2 37.2 ± 8.9 2012 Apr 26
HATLAS J131715.3+323835 NGP−247012 2 10.5 ± 4.8 25.3 ± 7.5 31.7 ± 7.7 18.4 ± 3.9 18.5 ± 8.4 6.4 ± 8.7 2013 Mar 09
HATLAS J131759.9+260943 NGP−247691 2 16.5 ± 5.6 26.2 ± 7.6 33.2 ± 8.2 17.8 ± 4.2 17.5 ± 8.7 21.2 ± 13.1 2013 Mar 09
HATLAS J133446.1+301933 NGP−248307 2 10.4 ± 5.4 28.3 ± 8.0 35.1 ± 8.3 10.7 ± 3.7 2.6 ± 7.1 −8.5 ± 9.1 2012 Apr 26
HATLAS J133919.3+245056 NGP−252305 2 15.3 ± 6.1 27.7 ± 8.1 40.0 ± 9.4 24.0 ± 3.5 23.5 ± 7.6 21.2 ± 8.7 2012 Apr 26
HATLAS J133356.3+271541 NGP−255731 2 8.4 ± 5.0 23.6 ± 7.7 29.5 ± 7.9 24.6 ± 5.2 31.0 ± 12.4 29.5 ± 18.4 2013 Mar 09
HATLAS J132731.0+334850 NGP−260332 2 12.2 ± 5.8 25.1 ± 8.1 44.4 ± 8.6 10.1 ± 3.2 15.9 ± 6.0 12.0 ± 8.8 2012 Apr 26
HATLAS J133251.5+332339 NGP−284357 2 12.6 ± 5.3 20.4 ± 7.8 42.4 ± 8.3 28.9 ± 4.3 27.4 ± 9.9 37.0 ± 14.4 2013 Mar 09
HATLAS J132419.5+343625 NGP−287896 2 3.4 ± 5.7 21.8 ± 8.1 36.4 ± 8.7 18.7 ± 4.3 −8.7 ± 8.9 −10.7 ± 11.7 2013 Mar 09
HATLAS J131425.9+240634 NGP−297140 2 15.5 ± 6.2 21.1 ± 8.2 36.8 ± 8.6 9.0 ± 4.3 18.2 ± 9.8 14.5 ± 10.2 2013 Mar 09
HATLAS J132600.0+231546 NGP−315918 3 8.1 ± 5.7 15.4 ± 8.2 41.8 ± 8.8 16.1 ± 3.9 21.8 ± 8.4 31.7 ± 11.6 2013 Mar 09
HATLAS J132546.1+300849 NGP−315920 3 17.8 ± 6.2 16.6 ± 8.1 39.4 ± 8.6 10.4 ± 4.3 0.0 ± 10.3 −1.5 ± 14.2 2013 Mar 09
HATLAS J125433.5+222809 NGP−316031 3 7.0 ± 5.5 11.4 ± 8.2 33.2 ± 8.6 16.8 ± 4.0 14.1 ± 9.3 9.1 ± 10.9 2013 Mar 09
HATLAS J000124.9−354212 SGP−28124 1 61.6 ± 7.7 89.1 ± 8.3 117.7 ± 8.8 37.2 ± 2.6 46.7 ± 6.0 51.6 ± 7.8 2012 Dec 15
HATLAS J000124.9−354212 SGP−28124b 1 61.6 ± 7.7 89.1 ± 8.3 117.7 ± 8.8 46.9 ± 1.7 48.4 ± 2.5 55.1 ± 3.8 2013 Apr
HATLAS J010740.7−282711 SGP−32338 2 16.0 ± 7.1 33.2 ± 8.0 63.7 ± 8.7 23.1 ± 2.9 27.9 ± 9.4 14.3 ± 10.0 2012 Dec 17
HATLAS J000018.0−333737 SGP−72464 1 43.4 ± 7.6 67.0 ± 8.0 72.6 ± 8.9 20.0 ± 4.2 17.2 ± 8.9 7.5 ± 8.2 2012 Dec 15
HATLAS J000624.3−323019 SGP−93302 1 31.2 ± 6.7 60.7 ± 7.7 61.7 ± 7.8 37.1 ± 3.7 18.4 ± 9.1 3.6 ± 8.3 2012 Dec 19
HATLAS J000624.3−323019 SGP−93302b 1 31.2 ± 6.7 60.7 ± 7.7 61.7 ± 7.8 35.3 ± 1.6 31.3 ± 2.3 30.9 ± 3.7 2013 Apr
HATLAS J001526.4−353738 SGP−135338 1 32.9 ± 7.3 43.6 ± 8.1 53.3 ± 8.8 14.7 ± 3.8 20.8 ± 8.0 17.9 ± 8.4 2012 Dec 19
HATLAS J223835.6−312009 SGP−156751 1 28.4 ± 6.9 37.7 ± 7.9 47.6 ± 8.4 12.6 ± 2.0 12.0 ± 2.9 12.5 ± 3.5 2013 Apr
HATLAS J000306.9−330248 SGP−196076 1 28.6 ± 7.3 28.6 ± 8.2 46.2 ± 8.6 32.5 ± 4.1 32.5 ± 9.8 32.2 ± 11.2 2012 Dec 15
HATLAS J003533.9−280302 SGP−208073 1 28.0 ± 7.4 33.2 ± 8.1 44.3 ± 8.5 19.4 ± 2.9 19.7 ± 4.3 18.9 ± 6.3 2013 Apr
HATLAS J001223.5−313242 SGP−213813 1 23.9 ± 6.3 35.1 ± 7.6 35.9 ± 8.2 18.1 ± 3.6 18.6 ± 6.9 12.0 ± 8.9 2012 Dec 19
HATLAS J001635.8−331553 SGP−219197 1 27.6 ± 7.4 51.3 ± 8.1 43.6 ± 8.4 12.2 ± 3.7 15.0 ± 7.5 6.4 ± 10.1 2012 Dec 21
HATLAS J002455.5−350141 SGP−240731 1 25.1 ± 7.0 40.2 ± 8.4 46.1 ± 8.9 1.4 ± 4.4 −2.7 ± 12.2 −7.8 ± 10.2 2012 Dec 21
HATLAS J000607.6−322639 SGP−261206 1 22.6 ± 6.3 45.2 ± 8.0 59.4 ± 8.4 45.8 ± 3.5 56.9 ± 8.9 65.1 ± 12.4 2012 Dec 18
HATLAS J002156.8−334611 SGP−304822 1 23.0 ± 6.7 40.7 ± 8.0 41.3 ± 8.7 19.8 ± 3.8 38.8 ± 8.3 35.1 ± 9.0 2012 Dec 21
HATLAS J001003.6−300720 SGP−310026 1 23.1 ± 6.8 33.2 ± 8.2 42.5 ± 8.7 10.9 ± 3.8 17.7 ± 7.2 13.5 ± 8.5 2012 Dec 15
HATLAS J002907.0−294045 SGP−312316 1 20.2 ± 6.0 29.8 ± 7.7 37.6 ± 8.0 10.3 ± 3.5 19.8 ± 7.2 10.5 ± 8.5 2012 Dec 19
HATLAS J225432.0−323904 SGP−317726 1 20.4 ± 6.0 35.1 ± 7.7 39.5 ± 8.0 19.4 ± 3.2 7.9 ± 5.9 10.5 ± 7.3 2013 Sep 01
HATLAS J004223.5−334340 SGP−354388 1 26.6 ± 8.0 39.8 ± 8.9 53.5 ± 9.8 40.4 ± 2.4 46.0 ± 5.7 57.5 ± 7.2 2014 Jun 30
HATLAS J004223.5−334340 SGP−354388b 1 26.6 ± 8.0 39.8 ± 8.9 53.5 ± 9.8 38.7 ± 3.2 39.9 ± 4.7 64.1 ± 10.9 2013 Oct
HATLAS J004614.1−321826 SGP−380990 2 14.4 ± 5.9 45.6 ± 8.2 40.6 ± 8.5 7.7 ± 1.8 6.8 ± 2.7 7.8 ± 3.1 2013 Jan
HATLAS J000248.8−313444 SGP−381615 2 19.4 ± 6.6 39.1 ± 8.1 34.7 ± 8.5 8.5 ± 3.6 4.4 ± 6.5 2.5 ± 7.3 2012 Dec 15
HATLAS J223702.2−340551 SGP−381637 2 18.7 ± 6.8 41.5 ± 8.4 49.3 ± 8.6 12.6 ± 3.7 5.9 ± 6.8 −3.1 ± 8.3 2013 Sep 01
HATLAS J001022.4−320456 SGP−382394 2 15.7 ± 5.9 35.6 ± 8.1 35.9 ± 8.6 8.0 ± 2.4 3.5 ± 2.9 9.1 ± 3.9 2012 Sep
HATLAS J230805.9−333600 SGP−383428 2 16.4 ± 5.6 32.7 ± 7.9 35.6 ± 8.4 8.2 ± 2.9 4.3 ± 4.8 7.0 ± 6.8 2013 Aug 19
HATLAS J222919.2−293731 SGP−385891 2 13.0 ± 8.2 45.6 ± 9.8 59.6 ± 11.5 20.5 ± 3.6 21.6 ± 7.1 11.7 ± 10.4 2013 Sep 01
HATLAS J231146.6−313518 SGP−386447 2 10.5 ± 6.0 33.6 ± 8.4 34.5 ± 8.6 22.4 ± 3.6 34.3 ± 8.4 29.0 ± 11.3 2013 Aug 19
HATLAS J003131.1−293122 SGP−392029 2 18.3 ± 6.5 30.5 ± 8.3 35.3 ± 8.4 13.8 ± 3.5 17.4 ± 6.2 20.0 ± 8.1 2012 Dec 19
HATLAS J230357.0−334506 SGP−424346 2 0.7 ± 5.9 25.1 ± 8.3 31.6 ± 8.8 10.5 ± 3.6 −14.2 ± 5.7 −19.1 ± 7.6 2013 Aug 19
HATLAS J222737.1−333835 SGP−433089 2 23.8 ± 9.4 31.5 ± 9.7 39.5 ± 10.6 14.8 ± 1.7 15.6 ± 2.9 14.7 ± 4.1 2012 Sep
HATLAS J225855.7−312405 SGP−499646 3 5.8 ± 5.9 10.8 ± 8.1 41.4 ± 8.6 18.7 ± 3.0 15.2 ± 5.6 11.9 ± 6.5 2013 Aug 19
HATLAS J222318.1−322204 SGP−499698 3 −7.8 ± 8.5 14.9 ± 10.3 57.0 ± 11.6 11.1 ± 3.7 8.5 ± 7.7 6.4 ± 10.0 2013 Sep 01
HATLAS J013301.9−330421 SGP−499828 3 5.6 ± 5.8 13.5 ± 8.3 36.6 ± 8.9 9.8 ± 2.6 6.4 ± 4.2 4.2 ± 5.0 2013 Oct

Notes.

aTargets observed with LABOCA have dates in the format YYYY-MM, since data were taken over a number of nights. bTargets observed with both LABOCA and SCUBA-2 (previous row).

A machine-readable version of the table is available.

Download table as:  DataTypeset images: 1 2 3

The flux–density scale was set using Uranus and Mars, and also secondary calibrators from the James Clerk Maxwell Telescope (JCMT) calibrator list (Dempsey et al. 2013), with estimated calibration uncertainties amounting to 5% at 850 μm. Since we visited each target only once (the handful of exceptions are noted in Table 1), the astrometry of the SCUBA-2 images is expected to be the same as the JCMT rms pointing accuracy, that is, 2–3'.

The data were reduced using the Dynamic Iterative Map-Maker within the starlink smurf package (Chapin et al. 2013) using the "zero-mask" algorithm, wherein the image is assumed to be free of significant emission except for one or more specified regions, in our case a circle with a 30'-diameter region (larger where appropriate, e.g., for SGP-354388, see Section 4.1) centered on the target. This method is effective at suppressing large-scale noise. SCUBA-2 observations of flux density calibrators are generally handled in a similar manner, so measuring reliable flux densities is significantly more straightforward than in other situations, as discussed below in Section 4.

3.2.  $870\,\mu {\rm{m}}$ Continuum Imaging with LABOCA

Images were also taken with the Large APEX bolometer camera (LABOCA; Siringo et al. 2009) mounted on the 12 m Atacama Pathfinder EXperiment (APEX) telescope26 on Llano Chajnantor at an altitude of 5100 m in Chile. LABOCA contains an array of 295 composite bolometers, arranged as a central channel with nine concentric hexagons, operating at a central wavelength of 870 μm (806–958 μm at half power, so a wider and redder passband than the SCUBA-2 850 μm filter) with a fwhm resolution of 19farcs2.

All sources were observed using a compact raster pattern in which the telescope performed a 2farcm5-diameter spiral at a constant angular speed at each of four raster positions, leading to a fully sampled map over the full 11'-diameter field of view of LABOCA. Around 2–4 hr were spent integrating on each target (see Table 1). The data were reduced using the BoA software package, applying standard reduction steps (see e.g., Weiß et al. 2009).

The PWV during the observations was typically between 0.6 and 1.4 mm, corresponding to a zenith atmospheric opacity of 0.30–0.55 in the LABOCA passband. The flux–density scale was determined to an accuracy of 10% using observations of Uranus and Neptune. Pointing was checked every hour using nearby quasars and was stable. The astrometry of our LABOCA images, each the result of typically three individual scans, separated by pointing checks, is expected to be σ ≈ 1''–2''.

4. RESULTS, ANALYSIS, AND DISCUSSION

In what follows we describe our measurements of 850 μm [870 μm for LABOCA] flux densities for our candidate ultrared DSFGs.27

4.1. Measurements of Flux Density

We measured 850 or 870 μm flux densities via several methods, each useful in different circumstances; the results are listed in Table 1.

In the first method, we searched beam-convolved images28 for the brightest peak within a 45'-diameter circle centered on the target coordinates. For point sources these peaks provide the best estimates of both flux density and astrometric position. The accuracy of the latter can only be accurate to a 1'' × 1'' pixel, but this is better than the expected statistical accuracy for our detections, which generally have a low signal-to-noise ratio (S/N) that is commonly expressed by ${\sigma }_{\mathrm{pos}}=0.6\,\theta /{\rm{S}}/{\rm{N}}$, where θ is the fwhm beam size (see the Appendix in Ivison et al. 2007); it is also better than the rms pointing accuracy of the telescopes, which, at least for our JCMT imaging, dominates the astrometric budget. The uncertainty in the flux density was taken to be the rms noise in a beam-convolved, 9' box 2 centered on the target, after rejecting outliers. We have ignored the small degree of flux boosting that is anticipated for a method of this type, since this is mitigated to a large degree by the high probability of a single, real submm emitter being found in the small area we search.

In the second method, we measured flux densities in 45- and 60'-diameter apertures (the former is shown in the Appendix, Figures 1216, where we adopt the same format used for Figure 3) using the aper routine in the Interactive Data Language (IDL, Landsman 1993), following precisely the recipe outlined by Dempsey et al. (2013), with a sky annulus between 1.5× and 2.0× of the aperture radius. The apertures were first centered on the brightest peak within a 45'-diameter circle, centered in turn on the target coordinates. For this method, the error was measured using 500 aperture/annulus pairs placed at random across the image.

For the purposes of the redshift determination—described in the next section—we adopted the flux density measured in the beam-convolved image unless the measurement in a 45' aperture was at least 3-${\sigma }_{850}^{\mathrm{peak}}$ larger, following the procedure outlined by Karim et al. (2013). For NGP-239358, we adopted the peak flux density since examination of the image revealed extended emission that we regard as unreliable; for SGP-354388, we adopted the 60' aperture measurement because the submm emission is clearly distributed on that scale (a fact confirmed by our ALMA 3 mm imaging; I. Oteo 2016b, in preparation).

We find that 86% of our sample is detected at an S/N > 2.5 in the SCUBA-2 and/or LABOCA maps. The median S500/S250 color of this subset falls from 2.15 to 2.08, while the median S500/S350 color remains at 1.26. There is no appreciable change in either color as S/N increases. We find that 94%, 81%, and 75% of the bandflag = 1, 2, and 3 subsets have an S/N > 2.5. This reflects the higher reliability of bandflag = 1 sources, which is a result of their detection in all three SPIRE bands, although the small number (eight) of sources involved in the bandflag = 3 subset means the fraction detected is not determined accurately.

4.2. Photometric Redshifts

Broadly speaking, two approaches have been used to measure the redshifts of galaxies via the shape of their far-IR/submm SEDs, and to determine the uncertainty associated with those measurements. One method uses a library of template SEDs, following Aretxaga et al. (2003); the other uses a single template SED, chosen to be representative, as proposed by Lapi et al. (2011), Pearson et al. (2013), and others.

For the first method, the distribution of measured redshifts and their associated uncertainties is governed by the choice of template SEDs, where adopting a broad range of SEDs makes more sense in some situations than in others. Blindly employing the second method offers less understanding of the potential systematics and uncertainties.

To characterize the systematics and overall uncertainties, we adopt seven well-sampled SEDs, all potentially representative of distant DSFGs: those for HFLS3 and Arp 220, which are both relatively blue for DSFGs, plus those for the Cosmic Eyelash and G15.141, as well as synthesized templates from Pope et al. (2008), Pearson et al. (2013), and Swinbank et al. (2014, ALESS), see Figure 4. The Pearson et al. template was synthesized from 40 bright H-ATLAS sources with known spectroscopic29 redshifts and comprises two modified Planck functions, Thot = 46.9 K and Tcold = 23.9 K, where the frequency dependence of the dust emissivity, β, is set to +2, and the ratio of cold-to-hot dust masses is 30.1:1. The lensed source, G15.141, is modeled using two graybodies with parameters taken from Lapi et al. (2011), Thot = 60 K and Tcold = 32 K, β = +2, and a ratio of cold-to-hot dust masses of 50:1. Figure 4 shows the diversity of these SEDs in the rest-frame, normalized in flux density at 100 μm.

Figure 4.

Figure 4. The SED templates used here to determine photometric redshifts, normalized in flux density at 100 μm. The HFLS3 and Arp 220 SEDs are relatively blue for typical DSFGs, giving us a range of plausibly representative templates.

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4.2.1. Training

Before we use these SED templates to determine the redshifts of our ultrared DSFGs, we wish to estimate any systematic redshift uncertainties and reject any unsuitable templates, thereby "training" our technique. To accomplish this, the SED templates were fitted to the available photometry for 69 bright DSFGs with SPIRE (S250, S350, and S500) and S870 photometric measurements, the latter typically from the Submillimeter Array (Bussmann et al. 2013), and spectroscopic redshifts determined via detections of CO using broadband spectrometers (e.g., Riechers et al. 2013; Weiß et al. 2013; Asboth et al. 2016; Strandet et al. 2016). We used accurate filter transmission profiles in each case, searching for minima in the χ2 distribution over 0 < zphot < 10, ignoring possible contamination of the various filter passbands by bright spectral lines30 such as [C ii] (Smail et al. 2011).

The differences between photometric redshifts estimated in this way and the measured spectroscopic redshifts for these 69 bright DSFGs were quantified using the property (zphot − zspec)/(1 + zspec), or ${\rm{\Delta }}z/(1+{z}_{\mathrm{spec}})$ hereafter.

Figure 5 shows the outcome when our seven SED templates are used to determine photometric redshifts for the 69 bright DSFGs with spectroscopic redshifts. We might have expected that the Pearson et al. template would yield the most accurate redshifts for this sample, given that it was synthesized using many of these same galaxies, but seemingly the inclusion of galaxies with optical spectroscopic redshifts during its construction has resulted in a slightly redder SED31 than the average for those DSFGs with CO spectroscopic redshifts, resulting in mean and median offsets, μ = −0.062 and μ1/2 = −0.116, with an rms scatter of σ = 0.187. While the Pearson et al. template fares better than those of Arp 220, G15.141, and HFLS3, which have both higher offsets and higher scatter and a considerable fraction of outliers (defined as those with $| {\rm{\Delta }}z/(1+{z}_{\mathrm{spec}})| \gt 0.3$), at this stage we discontinued using these four SEDs in the remainder of our analysis. We retained the three SED templates with $| {\mu }_{1/2}| \lt 0.1$ and fewer than 10% outliers for the following important sanity check.

Figure 5.

Figure 5. Difference, $({z}_{\mathrm{phot}}-{z}_{\mathrm{spec}})/(1+{z}_{\mathrm{spec}})$ or ${\rm{\Delta }}z/(1+{z}_{\mathrm{spec}})$, as a function of zspec between photometric redshifts determined using the SED templates shown in Figure 4 and the spectroscopic redshifts, zspec, determined via detections of CO using broadband spectrometers for 69 bright DSFGs. We employed the available SPIRE photometric measurements and all additional photometry out to 1 mm, as tabulated by Ivison et al. (2010), Riechers et al. (2013), Robson et al. (2014), Bussmann et al. (2013), Weiß et al. (2013), Asboth et al. (2016), and Strandet et al. (2016). Approximately the same trend can be seen in each panel. A linear fit of the form ${\rm{\Delta }}z/(1+{z}_{\mathrm{spec}})\propto -0.059\times {z}_{\mathrm{spec}}$, which is typical, is shown in the Cosmic Eyelash panel. The statistics noted in each panel illustrates the systematic underestimates or overestimates of zphot found using the relevant SED templates and the degree of scatter. It is worth noting that the redshifts of the templates are recovered accurately, showing that the process works well. In the HFLS3 panel, e.g., HFLS3 itself can be seen at z = 6.3 with ${\rm{\Delta }}z/(1+{z}_{\mathrm{spec}})=0$. The outlier at z ∼ 2 is discussed in Section 4.2.2. On the basis of these statistics, we discontinue using the Arp 220, G15.141, HFLS3, and Pearson et al. template SEDs in future analyses.

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4.2.2. Sanity Check

For this last test we employed the 25 ultrared DSFGs that match the color requirements32 of our ultrared sample. Their spectroscopic redshifts have been determined via detections of CO using broadband spectrometers, typically the 3 mm receivers at ALMA and NOEMA, drawn partly from the sample in this paper (see Y. Fudamoto 2016, in preparation, for the spectroscopic follow-up), but mainly from the literature (Cox et al. 2011; Riechers et al. 2013; Weiß et al. 2013; Asboth et al. 2016; Strandet et al. 2016).

Without altering our redshift-fitting procedure, we employed the available SPIRE photometric measurements together with all additional photometry out to 1 mm. For each source we noted the redshift and the template with the best χ2. Figure 6 shows ${\rm{\Delta }}z/(1+{z}_{\mathrm{spec}})$ as a function of zspec, and we can see that the Cosmic Eyelash and the synthesized templates from Swinbank et al. (ALESS) and Pope et al. have excellent predictive capabilities, with $| {\mu }_{1/2}| \lesssim 0.06$ and σ ∼ 0.14.

Figure 6.

Figure 6. Difference, ${\rm{\Delta }}z/(1+{z}_{\mathrm{spec}})$, as a function of zspec between photometric redshifts determined using the three SEDs shown to be the most effective templates in Figure 5 and the spectroscopic redshifts, zspec, determined via detections of CO using broadband spectrometers for 25 ultrared DSFGs that match the color requirements of our sample here, drawn from this paper, from Weiß et al. (2013), Riechers et al. (2013), Asboth et al. (2016), and Strandet et al. (2016). As in Figure 5, we employed the available SPIRE photometric measurements and all additional photometry out to 1 mm. The statistics noted in each panel show that the systematic underestimates or overestimates of zphot found using the relevant SED templates are small, as is the scatter. The lower panel shows ${\rm{\Delta }}z/(1+{z}_{\mathrm{spec}})$ for the template that yields the lowest χ2 for each ultrared DSFG, this being the approach we adopt hereafter to determine the redshift distribution of our full sample. The scatter in this lower panel represents the minimum systematic uncertainty in photometric redshift since these sources typically have higher S/N photometry than our faint, ultrared DSFG candidates.

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The lower panel of Figure 6 shows ${\rm{\Delta }}z/(1+{z}_{\mathrm{spec}})$ versus zspec for the SED template that yields the best χ2 for each ultrared DSFG, where μ1/2 = −0.024. The scatter seen in this plot is representative of the minimum systematic uncertainty in determining photometric redshifts for ultrared galaxies, σ ∼ 0.14, given that the photometry for these brighter sources tends to be of a relatively high quality. Despite a marginally higher scatter than the best individual SED templates, we adopt the photometric redshifts with the lowest χ2 values hereafter.

4.2.3. The Effect of the CMB

We have quantified the well-known effect of the cosmic microwave background (CMB) on the SED shape (da Cunha et al. 2013; Zhang et al. 2016) by using a dual-graybody 30 k + 60 k parameterization of the Cosmic Eyelash, which is the prescription of Ivison et al. (2010). At z = 2.3, the Cosmic Eyelash is affected negligibly by the CMB effect: of the two graybodies, the coolest is affected most, and it changes by just ∼4 mK compared with z = 0. We therefore ignored this and modified the parameterized z = 2.3 SED to account for the effect of the CMB at progressively higher redshifts, then fitted the unmodified Cosmic Eyelash SED to monochromatic flux densities drawn from these modified SEDs at λobs = 250, 350, 500, and 870 μm. The CMB effect causes us to underestimate (1 + z) by 0.03, 0.05, 0.10, and 0.18 at z = 4, 6, 8, and 10. Thus, the effect is small, even at the highest plausible redshifts; moreover, since the effect biases our redshifts to lower values, our estimate of the space density of ultrared DSFGs at z > 4 presented in Section 4.3 is biased lower rather than higher.

4.2.4. Redshift Trends

As an aside, a trend—approximately the same trend in each case—can be seen in each panel of Figures 56, with ${\rm{\Delta }}z/(1+{z}_{\mathrm{spec}})$ decreasing numerically with increasing redshift. The relationship takes the form ${\rm{\Delta }}z/(1+{z}_{\mathrm{spec}})\,\propto -{0.059}_{-0.014}^{+0.016}\times {z}_{\mathrm{spec}}$ for the Cosmic Eyelash, and a consistent trend is seen for the other SED templates. Were we to correct for this trend, the typical scatter in ${\rm{\Delta }}z/(1+{z}_{\mathrm{spec}})$ would fall to ∼0.10. This effect is much stronger than can be ascribed to the influence of the CMB and betrays a link between redshift and ${T}_{\mathrm{dust}}$, which in turn may be related to the relationship between redshift and ${L}_{\mathrm{IR}}$ seen by Symeonidis et al. (2013), although disentangling the complex relationships between ${T}_{\mathrm{dust}}$, ${M}_{\mathrm{dust}}$, ${L}_{\mathrm{IR}}$, starburst size, and redshift is extraordinarily challenging, even if the cross-section to gravitational lensing were constant with distance, which it is not (see Section 4.3). By considering a graybody at the temperature of each of the templates in our library, we can deduce that an offset between the photometric and spectroscopic redshifts corresponds to a change in dust temperature of

Equation (1)

where ${\rm{\Delta }}{T}_{\mathrm{dust}}$ is the difference between the dust temperature of the source and the temperature of the template SED, ${T}_{\mathrm{dust}}^{\mathrm{SED}}$. Using the offset between the photometric and spectroscopic redshifts for the Cosmic Eyelash template, we estimate that the typical dust temperature of the sources in our sample becomes warmer on average by ${9.4}_{-3.3}^{+4.8}$ k as we move from z = 2 (−0.7 k) to z = 6 (+8.7 k). We find consistent results for the Pope et al. and ALESS template SEDs, where ${\rm{\Delta }}{T}_{\mathrm{dust}}={7.5}_{-3.1}^{+4.0}$ k and ${7.1}_{-3.0}^{+3.9}$ k, respectively. We do not reproduce the drop of 10 k between low and high redshift reported by Symeonidis et al. (2013), we find quite the reverse, in fact. This may be related to the higher fraction of gravitationally lensed (and thus intrisically less luminous) galaxies expected in the bright sample that we have used here to calibrate and test our photometric redshift technique (Section 4.3). As with the CMB effect, the observed evolution in temperature with redshift predominantly biases our photometric redshifts to lower values, reinforcing the conservative nature of our estimate of the space density of ultrared DSFGs at z > 4.

It is also worth noting that the correlation between ${L}_{\mathrm{IR}}$ and redshift—discussed below in Section 4.2.6 and probably due in part to the higher flux density limits at z > 5—may mean that optical depth effects become more influential at the highest redshifts, with consequences for the evolution of DSFG SEDs that are difficult to predict.

4.2.5. Ultimate Test of ${z}_{\mathrm{phot}}$ Reliability

Finally, we employed the refined SED fitting procedure outlined above to determine the redshift distribution of our full sample of ultrared DSFGs.

As a final test of zphot reliability, Figure 7 shows the best-fitting photometric redshift for one of the sources, NGP−190387, for which we have secured a spectroscopic redshift using ALMA or NOEMA (Y. Fudamoto 2016, in preparation), and in Figure 8 we present the photometric redshifts of all of the six ultrared DSFGs for which we have determined secure spectroscopic redshifts.

Figure 7.

Figure 7. SPIRE and SCUBA-2 photometry for one of our ultrared galaxies with a spectroscopic redshift, zspec = 4.42 (Y. Fudamoto 2016, in preparation), and the best fit to the data, $z={4.36}_{-0.26}^{+0.37}$, in this case made using the ALESS SED template of Swinbank et al. (2014).

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Figure 8.

Figure 8. Predictive power of our photometric redshifts, as judged using the six ultrared galaxies with spectroscopic redshifts from our sample (Y. Fudamoto 2016, in preparation), on the same scale used in Figures 5 and 6.

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We find $| {\mu }_{1/2}| =+0.08$ and σ = 0.06, and the rms scatter around ${\rm{\Delta }}z/(1+{z}_{\mathrm{spec}})=0$ is 0.08, consistent with expectations33 set by the scatter (∼0.10) seen above among the trend-corrected redshifts determined using the Cosmic Eyelash SED.

4.2.6. Summary of ${z}_{\mathrm{phot}}$ and ${L}_{\mathrm{IR}}$ Statistics

In Table 2 we list the photometric redshifts (and luminosities, measured in the rest-frame across 8–1000 μm) for each source in our sample, with uncertainties determined from a Monte Carlo treatment of the observed flux densities and their respective uncertainties.

Table 2.  Targets and Their Photometric Redshift Properties

Nickname z ${\mathrm{log}}_{10}({L}_{\mathrm{FIR}})$ Nickname z ${\mathrm{log}}_{10}({L}_{\mathrm{FIR}})$
G09-47693 ${3.12}_{-0.33}^{+0.39}$ ${13.01}_{-0.07}^{+0.14}$ NGP-136610 ${4.27}_{-0.51}^{+0.51}$ ${13.40}_{-0.12}^{+0.09}$
G09-51190 ${3.83}_{-0.48}^{+0.58}$ ${13.31}_{-0.12}^{+0.11}$ NGP-158576 ${3.15}_{-0.29}^{+0.36}$ ${13.00}_{-0.07}^{+0.12}$
G09-59393 ${3.70}_{-0.26}^{+0.35}$ ${13.28}_{-0.09}^{+0.05}$ NGP-168885 ${4.09}_{-0.30}^{+0.42}$ ${13.32}_{-0.08}^{+0.06}$
G09-62610 ${3.70}_{-0.26}^{+0.44}$ ${13.15}_{-0.06}^{+0.13}$ NGP-172391 ${3.27}_{-0.26}^{+0.34}$ ${13.08}_{-0.06}^{+0.09}$
G09-64889 ${3.48}_{-0.40}^{+0.48}$ ${13.10}_{-0.14}^{+0.09}$ NGP-185990 ${4.47}_{-0.37}^{+0.49}$ ${13.42}_{-0.06}^{+0.06}$
G09-79552 ${3.59}_{-0.26}^{+0.34}$ ${13.11}_{-0.06}^{+0.09}$ NGP-190387 ${4.36}_{-0.26}^{+0.37}$ ${13.49}_{-0.06}^{+0.05}$
G09-79553 ${3.66}_{-0.30}^{+0.39}$ ${13.08}_{-0.07}^{+0.11}$ NGP-206987 ${4.07}_{-0.60}^{+0.06}$ ${13.31}_{-0.13}^{+0.02}$
G09-80620 ${4.01}_{-0.78}^{+0.22}$ ${13.07}_{-0.19}^{+0.06}$ NGP-239358 ${3.47}_{-0.49}^{+0.52}$ ${13.09}_{-0.15}^{+0.10}$
G09-80658 ${4.07}_{-0.72}^{+0.09}$ ${13.20}_{-0.17}^{+0.03}$ NGP-242820 ${3.41}_{-0.30}^{+0.44}$ ${13.02}_{-0.06}^{+0.13}$
G09-81106 ${4.95}_{-0.73}^{+0.13}$ ${13.43}_{-0.13}^{+0.04}$ NGP-244709 ${3.48}_{-0.40}^{+0.42}$ ${13.14}_{-0.12}^{+0.07}$
G09-81271 ${4.62}_{-0.38}^{+0.46}$ ${13.39}_{-0.09}^{+0.05}$ NGP-246114 ${4.35}_{-0.46}^{+0.51}$ ${13.30}_{-0.10}^{+0.08}$
G09-83017 ${3.99}_{-0.34}^{+0.53}$ ${13.09}_{-0.08}^{+0.12}$ NGP-247012 ${4.59}_{-0.71}^{+0.16}$ ${13.21}_{-0.16}^{+0.04}$
G09-83808 ${5.66}_{-0.76}^{+0.06}$ ${13.51}_{-0.11}^{+0.02}$ NGP-247691 ${3.90}_{-0.45}^{+0.51}$ ${13.15}_{-0.13}^{+0.08}$
G09-84477 ${2.94}_{-0.39}^{+0.44}$ ${12.83}_{-0.09}^{+0.15}$ NGP-248307 ${3.59}_{-0.36}^{+0.36}$ ${12.96}_{-0.10}^{+0.10}$
G09-87123 ${4.28}_{-0.34}^{+0.52}$ ${13.17}_{-0.06}^{+0.12}$ NGP-252305 ${4.34}_{-0.38}^{+0.43}$ ${13.29}_{-0.09}^{+0.06}$
G09-100369 ${3.79}_{-0.46}^{+0.61}$ ${13.05}_{-0.13}^{+0.09}$ NGP-255731 ${4.94}_{-0.66}^{+0.73}$ ${13.30}_{-0.15}^{+0.09}$
G09-101355 ${4.20}_{-0.39}^{+0.70}$ ${13.03}_{-0.08}^{+0.16}$ NGP-260332 ${3.50}_{-0.29}^{+0.38}$ ${12.96}_{-0.08}^{+0.10}$
G12- 34009 ${4.53}_{-0.31}^{+0.37}$ ${13.51}_{-0.06}^{+0.05}$ NGP-284357 ${4.99}_{-0.45}^{+0.44}$ ${13.40}_{-0.10}^{+0.05}$
G12-42911 ${4.33}_{-0.26}^{+0.31}$ ${13.45}_{-0.07}^{+0.05}$ NGP-287896 ${4.54}_{-0.37}^{+0.53}$ ${13.15}_{-0.09}^{+0.10}$
G12-66356 ${3.66}_{-0.72}^{+0.19}$ ${13.04}_{-0.19}^{+0.06}$ NGP-297140 ${3.41}_{-0.44}^{+0.57}$ ${12.91}_{-0.11}^{+0.15}$
G12-77450 ${3.53}_{-0.31}^{+0.46}$ ${12.99}_{-0.07}^{+0.14}$ NGP-315918 ${4.32}_{-0.33}^{+0.54}$ ${13.10}_{-0.07}^{+0.11}$
G12-78339 ${4.41}_{-0.70}^{+0.98}$ ${13.31}_{-0.18}^{+0.17}$ NGP-315920 ${3.88}_{-0.89}^{+0.33}$ ${13.05}_{-0.21}^{+0.07}$
G12-78868 ${3.58}_{-0.26}^{+0.34}$ ${13.04}_{-0.08}^{+0.08}$ NGP-316031 ${4.65}_{-0.47}^{+0.68}$ ${13.10}_{-0.07}^{+0.13}$
G12-79192 ${2.95}_{-0.36}^{+0.38}$ ${12.80}_{-0.12}^{+0.12}$ SGP-28124 ${3.93}_{-0.45}^{+0.08}$ ${13.65}_{-0.09}^{+0.02}$
G12-79248 ${6.43}_{-0.89}^{+0.81}$ ${13.76}_{-0.14}^{+0.11}$ SGP-28124* ${3.80}_{-0.42}^{+0.02}$ ${13.61}_{-0.11}^{+0.00}$
G12-80302 ${3.06}_{-0.35}^{+0.39}$ ${12.83}_{-0.10}^{+0.12}$ SGP-72464 ${3.06}_{-0.19}^{+0.21}$ ${13.23}_{-0.05}^{+0.07}$
G12-81658 ${2.93}_{-0.42}^{+0.38}$ ${12.77}_{-0.14}^{+0.12}$ SGP-93302 ${3.91}_{-0.22}^{+0.27}$ ${13.46}_{-0.07}^{+0.04}$
G12-85249 ${2.87}_{-0.36}^{+0.37}$ ${12.70}_{-0.12}^{+0.11}$ SGP-93302* ${3.79}_{-0.21}^{+0.24}$ ${13.43}_{-0.07}^{+0.04}$
G12-87169 ${3.26}_{-0.39}^{+0.51}$ ${12.85}_{-0.12}^{+0.13}$ SGP-135338 ${3.06}_{-0.26}^{+0.33}$ ${13.08}_{-0.04}^{+0.11}$
G12-87695 ${3.68}_{-0.53}^{+0.58}$ ${13.09}_{-0.14}^{+0.09}$ SGP- 156751 ${2.93}_{-0.22}^{+0.24}$ ${12.97}_{-0.04}^{+0.08}$
G15-21998 ${2.91}_{-0.19}^{+0.20}$ ${13.10}_{-0.05}^{+0.06}$ SGP-196076 ${4.51}_{-0.39}^{+0.47}$ ${13.42}_{-0.06}^{+0.07}$
G15-24822 ${2.77}_{-0.27}^{+0.27}$ ${12.97}_{-0.08}^{+0.09}$ SGP-208073 ${3.48}_{-0.28}^{+0.40}$ ${13.18}_{-0.08}^{+0.06}$
G15-26675 ${4.36}_{-0.21}^{+0.25}$ ${13.55}_{-0.05}^{+0.04}$ SGP-213813 ${3.49}_{-0.32}^{+0.40}$ ${13.15}_{-0.10}^{+0.07}$
G15-47828 ${3.52}_{-0.39}^{+0.50}$ ${13.20}_{-0.11}^{+0.09}$ SGP-219197 ${2.94}_{-0.24}^{+0.25}$ ${13.03}_{-0.07}^{+0.08}$
G15-64467 ${3.75}_{-0.49}^{+0.55}$ ${13.15}_{-0.14}^{+0.09}$ SGP-240731 ${2.70}_{-0.25}^{+0.27}$ ${12.88}_{-0.09}^{+0.10}$
G15-66874 ${4.07}_{-0.49}^{+0.57}$ ${13.30}_{-0.11}^{+0.10}$ SGP-261206 ${5.03}_{-0.47}^{+0.58}$ ${13.64}_{-0.10}^{+0.09}$
G15-82412 ${3.96}_{-0.70}^{+0.15}$ ${13.20}_{-0.16}^{+0.04}$ SGP-304822 ${4.33}_{-0.51}^{+0.63}$ ${13.41}_{-0.12}^{+0.12}$
G15-82684 ${3.65}_{-0.25}^{+0.38}$ ${13.13}_{-0.06}^{+0.11}$ SGP-310026 ${3.12}_{-0.31}^{+0.38}$ ${12.97}_{-0.07}^{+0.12}$
G15-83543 ${3.53}_{-0.34}^{+0.42}$ ${13.05}_{-0.09}^{+0.12}$ SGP-312316 ${3.17}_{-0.32}^{+0.41}$ ${12.94}_{-0.08}^{+0.12}$
G15-83702 ${3.27}_{-0.36}^{+0.39}$ ${12.90}_{-0.12}^{+0.12}$ SGP-317726 ${3.69}_{-0.30}^{+0.39}$ ${13.20}_{-0.10}^{+0.06}$
G15-84546 ${4.34}_{-0.53}^{+0.56}$ ${13.19}_{-0.14}^{+0.10}$ SGP-354388 ${5.35}_{-0.52}^{+0.56}$ ${13.68}_{-0.08}^{+0.08}$
G15-85113 ${3.40}_{-0.34}^{+0.37}$ ${12.90}_{-0.11}^{+0.09}$ SGP-354388* ${5.43}_{-0.72}^{+0.84}$ ${13.69}_{-0.13}^{+0.12}$
G15-85592 ${3.39}_{-0.39}^{+0.49}$ ${12.89}_{-0.13}^{+0.15}$ SGP-32338 ${3.93}_{-0.24}^{+0.26}$ ${13.24}_{-0.04}^{+0.05}$
G15-86652 ${3.43}_{-0.35}^{+0.44}$ ${12.97}_{-0.09}^{+0.11}$ SGP-380990 ${2.84}_{-0.21}^{+0.22}$ ${12.84}_{-0.07}^{+0.06}$
G15-93387 ${3.24}_{-0.33}^{+0.50}$ ${12.87}_{-0.08}^{+0.12}$ SGP-381615 ${2.98}_{-0.29}^{+0.29}$ ${12.91}_{-0.09}^{+0.09}$
G15-99748 ${3.98}_{-0.79}^{+0.25}$ ${13.06}_{-0.20}^{+0.05}$ SGP-381637 ${3.30}_{-0.25}^{+0.28}$ ${13.06}_{-0.07}^{+0.08}$
G15-105504 ${3.43}_{-0.53}^{+0.64}$ ${12.87}_{-0.13}^{+0.16}$ SGP-382394 ${2.96}_{-0.26}^{+0.29}$ ${12.84}_{-0.08}^{+0.08}$
NGP-63663 ${3.08}_{-0.22}^{+0.23}$ ${13.11}_{-0.06}^{+0.08}$ SGP-383428 ${3.08}_{-0.30}^{+0.33}$ ${12.88}_{-0.09}^{+0.10}$
NGP-82853 ${3.66}_{-0.61}^{+0.06}$ ${13.17}_{-0.15}^{+0.02}$ SGP-385891 ${3.70}_{-0.24}^{+0.29}$ ${13.20}_{-0.06}^{+0.07}$
NGP-101333 ${3.53}_{-0.27}^{+0.34}$ ${13.30}_{-0.09}^{+0.06}$ SGP-386447 ${4.89}_{-0.73}^{+0.78}$ ${13.41}_{-0.17}^{+0.13}$
NGP-101432 ${3.65}_{-0.28}^{+0.36}$ ${13.31}_{-0.10}^{+0.05}$ SGP-392029 ${3.42}_{-0.32}^{+0.47}$ ${13.00}_{-0.06}^{+0.13}$
NGP-111912 ${3.27}_{-0.26}^{+0.36}$ ${13.09}_{-0.06}^{+0.10}$ SGP-424346 ${3.99}_{-0.39}^{+0.45}$ ${12.95}_{-0.10}^{+0.10}$
NGP-113609 ${3.43}_{-0.20}^{+0.34}$ ${13.22}_{-0.04}^{+0.09}$ SGP-433089 ${3.60}_{-0.62}^{+0.08}$ ${13.11}_{-0.13}^{+0.01}$
NGP-126191 ${4.33}_{-0.46}^{+0.45}$ ${13.37}_{-0.08}^{+0.07}$ SGP-499646 ${4.68}_{-0.34}^{+0.49}$ ${13.14}_{-0.05}^{+0.10}$
NGP-134174 ${2.98}_{-0.31}^{+0.34}$ ${12.98}_{-0.07}^{+0.12}$ SGP-499698 ${4.22}_{-0.38}^{+0.39}$ ${13.00}_{-0.11}^{+0.09}$
NGP-136156 ${3.95}_{-0.57}^{+0.06}$ ${13.33}_{-0.12}^{+0.01}$ SGP-499828 ${3.88}_{-0.41}^{+0.49}$ ${12.88}_{-0.09}^{+0.10}$

A machine-readable version of the table is available.

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We present a histogram of photometric redshifts for our sample of ultrared galaxies in Figure 9, where for each galaxy we have adopted the redshift corresponding to the best χ2 fit, found with the SED templates used in Figure 6. In the upper panels of Figure 9 we show redshift histograms from Béthermin et al. (2015), representing a phenomenological model of galaxy evolution (Béthermin et al. 2012), with the expected redshift distributions for PACS at 100 μm (S100 > 9 mJy), SPIRE at 250 μm (S250 > 20 mJy), SCUBA-2 at 450 μm (S450 > 5 mJy), and SCUBA-2 at 850 μm (S850 > 4 mJy), compared with the redshifts measured for the LABOCA 870 μm selected LESS sample (S870 > 3.5 mJy) by Simpson et al. (2014).

Figure 9.

Figure 9. Redshift histograms from Béthermin et al. (2015), representing a phenomenological model of galaxy evolution (Béthermin et al. 2012), with the expected redshift distributions for PACS at 100 μm (S100 > 9 mJy), SPIRE at 250 μm (S250 > 20 mJy), and SCUBA-2 at 450 μm (S450 > 5 mJy) in the upper panel. In the middle panel we show the Béthermin et al. redshift distribution predicted for SCUBA-2 at 850 μm (S850 > 4 mJy), alongside the redshifts measured for the LABOCA 870 μm selected LESS sample (S870 > 3.5 mJy) by Simpson et al. (2014). In the lower panel we show the histogram of redshifts for our sample of ultrared galaxies, where for each galaxy we have adopted the redshift corresponding to the best χ2 fit, found with the SED templates used in Figure 6. The subset (of eight galaxies) with bandflag = 3, i.e., those selected from 500 μm residual maps, is shown in red. Our ultrared DSFGs typically lie δz ≈ 1.5 redward of the 870 μm selected sample. Comparison of the observed photometric redshift distribution for our ultrared DSFGs with that expected by the Béthermin et al. (2015) model (for sources selected with our flux limits and color criteria) reveals a significant mismatch.

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Our Herschel-selected ultrared galaxies span 2.7 < zphot < 6.4 and typically lie δz ≈ 1.5 redward of the 870 μm-selected sample, showing that our technique can be usefully employed to select intense, dust-enshrouded starbursts at the highest redshifts. We find that 33 ± 6% of our full sample (1σ errors, Gehrels 1986) and ${63}_{-24}^{+20}$% of our bandflag = 3 subset (see the overlaid red histogram in the lower panel of Figure 9) lie at zphot > 4. In an ultrared sample comprised largely of faint 500 μm risers, we find a median value of ${\hat{z}}_{\mathrm{phot}}=3.66$, a mean of 3.79, and an interquartile range, 3.30–4.27. This supports the relation between the SED peak and redshift observed by Swinbank et al. (2014), who found median redshifts of 2.3 ± 0.2, 2.5 ± 0.3, and 3.5 ± 0.5 for 870 μm selected DSFGs with SEDs peaking at 250, 350, and 500 μm.

Comparison of the observed photometric redshift distribution for our ultrared DSFGs with that expected by the Béthermin et al. (2015) model (for sources selected with our flux density limits and color criteria) reveals a significant mismatch, with the model histogram skewed by δz ≈ 1 blueward of the observed distribution. This suggests that our current understanding of galaxy evolution is incomplete, at least with regard to the most distant, dust-enshrouded starbursts, plausibly because of the influence of gravitational lensing, although the Béthermin et al. model does include a simple treatment of this effect. This issue will be addressed in a forthcoming paper in which we present high-resolution ALMA imaging (I. Oteo 2016a, in preparation, see also Figure 10).

Figure 10.

Figure 10. Redshift distribution of S500 > 30 mJy sources from the physical model of Cai et al. (2013), which provides a good fit to a broad variety of data, including the IR luminosity functions determined observationally by Gruppioni et al. (2013) at several redshifts up to z ∼ 4 (see also Figure 1 of Bonato et al. 2014). The dot–dashed green histogram and the dot–dashed orange histogram show the contributions of strongly lensed (magnification, μ ≥ 2) and unlensed galaxies, respectively, while the black histogram shows the total. The distribution of lensed galaxies was computed using the SISSA model (Lapi et al. 2012). Although strongly lensed galaxies are a minor fraction of all galaxies with S500 > 30 mJy, they become common at z > 4 due to the combined effect of the increase with redshift of the optical depth to lensing and the magnification bias. This will be addressed in a forthcoming paper, in which we present high-resolution ALMA imaging (I. Oteo 2016a, in preparation).

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The corresponding 8–1000 μm luminosities for our sample of ultrared DSFGs, in the absence of gravitational lensing, range from 5.0 × 1012 to 5.8 ×  1013 L, a median of 1.3 ×  1013 L, and an interquartile range of 9.7 ×  1012 to 2.0 ×  1013 L.

Figure 10 demonstrates that the influence of gravitational lensing cannot be entirely ignored. Although strongly lensed galaxies are a minor fraction of all galaxies with S500 > 30 mJy, they become more common at z > 4 due to the combined effect of the increase with redshift of the optical depth to lensing and the magnification bias. This will be addressed in a forthcoming paper, in which we present high-resolution ALMA imaging (I. Oteo 2016a, in preparation).

In Figure 11 we show how the 8–1000 μm luminosities of our ultrared DSFGs behave as a function of redshift to help explain the shape of our redshift distribution, and any biases. The S500 > 30 mJy detection limit for our three best SED templates is shown, as well as the luminosity evolution of the form (1 + z)4, scaled arbitrarily. The different bandflag categories separate from one another, as one might expect, where the least luminous galaxies at any redshift are those detected only in the 500 μm filter, having suffered considerably more flux boosting34 and blending in the SPIRE maps with the lowest spatial resolution. The growing gap between the ultrared DSFGs and the expected detection limits at z > 5 are potentially interesting, possibly reflecting the relatively low number of bandflag = 3 sources in our sample and the growing influence of multiband detections at the highest redshifts.

Figure 11.

Figure 11.  ${L}_{\mathrm{IR}}$ as a function of zphot for our sample, color-coded by bandflag, with the S500 > 30 mJy detection limits shown for our three best SED templates, and luminosity evolution of the form ∝ (1 + z)4 illustrated. We see that the bandflag = 1, 2, and 3 galaxies lie in distinct regions, as one might expect. The least luminous galaxies at any redshift are those detected only in the 500 μm filter, since in the SPIRE maps with the lowest spatial resolution they suffer considerably more flux boosting and blending. The growing gap between the galaxies and the expected detection limits at z > 5 is potentially interesting.

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4.3. The Space Density of Distant DSFGs

With photometric redshift estimates for each of the sources in our sample we can now place a lower limit on the space density, ρ, of S500 > 30 mJy ultrared DSFGs that lie at z > 4. As summarized in Section 4.2.6, we find that 33 ± 6% of the sources in our sample lie in the range 4 < z < 6, and the space density of these DSFGs is

Equation (2)

where Nz represents the number of sources within 4 < z < 6, Vobs is the comoving volume contained within the redshift range considered, tburst/tobs is a duty-cycle correction, since the ongoing obscured starburst in DSFGs has a finite duration, where tburst ≈ 100 Myr is in agreement with their expected gas depletion times (Ivison et al. 2011; Bothwell et al. 2013) but is uncertain at the ≈2× level. ${ \mathcal C }$ is the completeness correction required for our sample, as discussed at length in Section 2.32.4. ${V}_{\mathrm{obs}}$ is the comoving volume contained within 4 < z < 6, given by

Equation (3)

(Hogg 1999), which we scale by the fractional area of sky that was surveyed, ≈600 deg2, or ≈1.5%.

Applying these corrections, we estimate that ultrared DSFGs at z > 4 have a space density of ≈6 ×  10−7 Mpc−3. Our work represents the first direct measurement of the space density of z > 4 DSFGs at such faint flux–density limits, and therefore it is not possible to make a direct comparison with previous studies in the literature. For example, Asboth et al. (2016) recently presented the number counts of ultrared, 500 μm selected DSFGs, identified in the 274 deg2 HerMES Large Mode Survey. However, the Asboth et al. galaxies are considerably brighter than ours, meaning a significant fraction will be gravitationally lensed, and they lack redshift estimates, so it is impossible to judge meaningfully whether their source density is consistent with the results presented here.

4.4. Relationship of DSFGs with Other Galaxy Populations

It has been suggested by a number of authors (e.g., Simpson et al. 2014; Toft et al. 2014; Ikarashi et al. 2015) that high-redshift DSFGs may be the progenitors of the population of massive, quiescent galaxies that have been uncovered in near-IR surveys (e.g., van Dokkum et al. 2008; Newman et al. 2012; Krogager et al. 2014; Straatman et al. 2014). These galaxies are generally found to be extremely compact, which, when taken in conjunction with their high stellar masses, ≈1011 M, and high redshifts, z ≳ 2, motivates the idea that the stellar component was formed largely during an intense starburst phase that was enshrouded in dust.

Is the comoving space density of ultrared, high-redshift DSFGs consistent with that of massive, high-redshift, quiescent galaxies? As discussed earlier, the 4 < z < 6 DSFGs presented in this work have a comoving space density of ≈6 ×  10−7 Mpc−3. As a comparison, we use the galaxies in the sample presented by Straatman et al. (2014), which were classified as quiescent via UVJ selection (e.g., Labbé et al. 2005) and are drawn from a mass-limited sample (>4 × 1010 M). These galaxies were selected to lie in the redshift range 3.4 < z < 4.2 and were estimated to have a median stellar age of ≈0.8 Gyr, indicating a typical formation epoch of z ≈ 5, which makes them an ideal match to our sample of 4 < z < 6 DSFGs.

The quiescent sources presented by Straatman et al. (2014) have a comoving space density of ≈2 × 10−5 Mpc−3, which is ≈30× more numerous than the sample of DSFGs presented here. Even at Mstars ≳ 1011 M, Straatman et al. estimate a space density of ≈4 ×  10−6 Mpc−3 for their quiescent near-IR galaxies, still almost an order of magnitude higher than our z > 4 DSFGs. This clearly indicates that z > 4 DSFGs cannot account for the formation of massive, quiscent galaxies at z ∼ 3–4 when selected at the flux–density levels we have been able to probe with Herschel. Even an infeasibly short duration of ≲10 Myr for the starburst phase of DSFGs is insufficient to bring the comoving space densities of the two populations into agreement, except at the very highest masses. Instead, our S350 ≈ S500 ≈ 30 mJy flux density limits are selecting the rarest, most FIR-bright objects on the sky—hyperluminous galaxies (e.g., Fu et al. 2013; Ivison et al. 2013)—which can form a galaxy with ≳1011 M of stars in ≲100 Myr, and/or less massive galaxies caught during a tremendously violent, short-lived phase, or gravitationally magnified by a chance alignment, populations that—even collectively—are considerably rarer than massive, high-redshift, quiescent galaxies.

The ALMACAL program of Oteo et al. (2016b) has shown that that S870 ≳ 1 mJy DSFGs with SFRs of ≈50–100 M yr−1 are three orders of magnitude more common than our z > 4 Herschel-selected DSFGs, such that ≈1%–2% of them lying at z > 4 may account for the massive, quiescent, near-IR-selected galaxies. Given the limited mapping speed of ALMA, even this fainter, more numerous DSFG population will be best accessed via a facility designed to obtain deep, wide-field imaging in passbands spanning 350 μm through 2 mm, either a large dish or a compact array equipped with focal-plane arrays.

We must therefore admit that although the progenitors of the most massive (≳1011 M) quiescent galaxies are perhaps just within our grasp if we can push this color-selection technique further, the progenitors of the more general near-IR-selected quiescent galaxy population may lie below the flux–density regime probed directly by Herschel. The progenitors of z > 6 quasars, discussed in Section 1, remain similarly elusive: our ultrared DSFG space density is well matched, but we have yet to unveil any of the z > 6 galaxies that may be hidden within our sample.

5. CONCLUSIONS

We have presented follow-up SCUBA-2 and LABOCA imaging of a sample of 109 ultrared DSFGs with Herschel SPIRE colors of S500/S250 ≥ 1.5 and S500/S350 ≥ 0.85, thereby improving the accuracy of FIR-/submm-based photometric redshifts. After selecting the three SED templates that are most suitable for determining photometric redshifts from a parent sample of seven, we performed two further sanity checks, looking for significant systematics and finding none, which suggests a high degree of accuracy. We then determined a median redshift, ${\hat{z}}_{\mathrm{phot}}=3.66$, and an interquartile range of zphot = 3.30–4.27, with a median rest-frame 8–1000 μm luminosity, ${\hat{L}}_{\mathrm{IR}}=1.3\times {10}^{13}$ L. We determined that 32 ± 5% lie at zphot > 4 and that the space density of these galaxies is ≈6 ×  10−7 Mpc−3.

Comparison of the observed photometric redshift distribution for our ultrared DSFGs with that expected by a phenomenological model of galaxy evolution reveals a significant mismatch, with the model skewed by δz ≈ 1 blueward of the observed redshift distribution.

Although the progenitors of the most massive (≳1011 M) near-IR-selected quiescent galaxies are perhaps just within our grasp if we push this color-selection technique further, the progenitors of the more general near-IR-selected quiescent galaxy population may lie below the flux–density regime probed directly by Herschel. Our ultrared DSFG space density is relatively well matched to that of z > 6 quasars, but their progenitors remain elusive since we have yet to unveil any z > 6 galaxies in our sample.

With this unique sample, we have substantially increased the number of z > 4 dusty galaxies, partially fulfilling the promise of early predictions for the negative K correction in the submm band (Blain & Longair 1993). However, although we can claim considerable success in significantly enlarging the known sample of ultrared DSFGs at z > 4, we must acknowledge that over half of our sources lie at z < 4. Because of this and because of the uncertain fraction of spurious sources in our parent ultrared DSFG catalog, we regard further refinement of the ultrared selection technique as both possible and necessary.

Finally, we draw attention to an interesting source, HATLAS J004223.5−334340 (SGP-354388), which we have dubbed the "Great Red Hope" (or GRH). This system is resolved in our LABOCA and SCUBA-2 imaging, with a total 850 μm [870 μm] flux density of 58 ± 7 [64 ± 11] mJy. In a 3 mm continuum map from ALMA covering ≈1 arcmin2 (Y. Fudamoto 2016, in preparation), we see a number of discrete DSFGs (I. Oteo 2016b, in preparation), most of which display a single emission line35 at 98.4 GHz, an overdensity of galaxies that continues on larger scales, as probed by wide-field LABOCA imaging (A. Lewis 2016, in preparation). Photometric redshifts are challenging under these circumstances, given the confusion in the Herschel bands. Using the Swinbank et al. ALESS SED template with point-source flux densities suggests that the lowest plausible redshift for these galaxies is ≈4.0, while the method used throughout this work to measure flux densities gives zphot ∼ 5.4. At anything like this distance, this is a remarkable cluster of ultrared DSFGs.

R.J.I., A.J.R.L., V.A., L.D., S.M., and I.O. acknowledge support from the European Research Council (ERC) in the form of Advanced Grant, 321302, cosmicism. H.D. acknowledges financial support from the Spanish Ministry of Economy and Competitiveness (MINECO) under the 2014 Ramón y Cajal program, MINECO RYC-2014-15686. I.R.S. acknowledges support from the Science and Technology Facilities Council (STFC, ST/L00075X/1), the ERC Advanced Grant, DUSTYGAL 321334, and a Royal Society/Wolfson Merit Award. Herschel-ATLAS is a project with Herschel, which is an ESA space observatory with science instruments provided by European-led Principal Investigator consortia and with important participation from NASA. The H-ATLAS website is www.h-atlas.org. US participants in H-ATLAS acknowledge support from NASA through a contract from JPL. The JCMT is operated by the East Asian Observatory on behalf of The National Astronomical Observatory of Japan, Academia Sinica Institute of Astronomy and Astrophysics, the Korea Astronomy and Space Science Institute, the National Astronomical Observatories of China and the Chinese Academy of Sciences (grant No. XDB09000000), with additional funding support from STFC and participating universities in the UK and Canada; program IDs: M12AU24, M12BU23, M13BU03, M12AN11, M13AN02. This work is based on observations made with APEX under Program IDs: 191A-0748, M.090.F-0025-2012, M.091.F-0021-2013, M-092.F-0015-2013, M-093.F-0011-2014.

Facilities: JCMT - James Clerk Maxwell Telescope, APEX - , Herschel. -

APPENDIX:

In this appendix we present the Herschel SPIRE, JCMT/SCUBA-2, and APEX/LABOCA imaging of our red galaxy sample in the GAMA 9 hr (see Figure 12), 12 hr (see Figure 13), and 15 hr (see Figure 14) fields, as well as the NGP (see Figure 15) and SGP (see Figure 16) fields. In each column, we show from left to right 250, 350, 500, and 850 μm [870 μm for LABOCA] cut-out images, each 3' × 3' and centered on the (labeled) galaxy. The 250 and 850 μm [870 μm] cut-out images have been convolved with 7'' and 13'' [19''] Gaussians, respectively. The 45'' aperture used to measure Stot is shown. A 60'' aperture was also used but is not shown, to aid clarity. The annulus used to measure the background level is shown in the uppermost case (this is correspondingly larger for the 60'' aperture, see Section 4.1). SPIRE images are displayed from −6 to +60 mJy beam−1; SCUBA and LABOCA images are displayed from −3 to +30 mJy beam−1; both scales are relative to the local median. North is up and east is left.

Figure 12.

Figure 12. Targets in the GAMA 9 hr field, observed by SCUBA-2.

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Figure 13.

Figure 13. Targets in the GAMA 12 hr field, observed by SCUBA-2.

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Figure 14.

Figure 14. Targets in the GAMA 15 hr field, observed by SCUBA-2.

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Figure 15.
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Figure 15.

Figure 15. Targets in the NGP field, observed by SCUBA-2.

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Figure 16.
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Figure 16.

Figure 16. Left: targets in the SGP field, observed by SCUBA-2. Right: targets in the SGP field, observed by LABOCA.

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Footnotes

  • 24 

    For our selection process this correction sensitively depends on the flux density distribution of the sources and on their color distribution, neither of which is known well, such that the uncertainty in the correction is then larger than the correction itself (see also Section 4.2.6).

  • 25 

    Figure 3 also shows a case where madx succeeds in cataloging an ultrared DSFG candidate that is nestled alongside a very bright, local galaxy.

  • 26 

    This publication is based on data acquired with APEX, a collaboration between the Max-Planck-Institut für Radioastronomie, the European Southern Observatory, and the Onsala Space Observatory.

  • 27 

    For the handful of objects where data exist from both SCUBA-2 and LABOCA, e.g., SGP-354388, the measured flux densities are consistent.

  • 28 

    Effective beam sizes after convolution: 18farcs4 [25farcs6] for the SCUBA-2 850 μm [LABOCA 870 μm] data.

  • 29 

    It is worth noting a subtle circularity here, in that around half of these bright sources were selected as targets for broadband spectroscopic observations, e.g., with the Zpectrometer on the Green Bank Telescope (Frayer et al. 2011; Harris et al. 2012) on the basis of rough photometric estimates of their redshifts. The resulting bias will be modest, but extreme SEDs may not be fully represented.

  • 30 

    With the detection of several galaxies in [C ii] (e.g., Oteo et al. 2016a), we are closer to being able to quantify the effect of line emission on photometric redshift estimates.

  • 31 

    This may be due to blending or lensing, or both, where the galaxy with the spectroscopic redshift may be just one of a number of contributors to the far-IR flux density.

  • 32 

    Although 26 DSFGs meet our color-selection criteria, we do not include the extreme outlier, SPT 0452−50, which has ${\rm{\Delta }}z/(1+{z}_{\mathrm{spec}})=0.66,0.61$ and 0.75 for the ALESS, Eyelash, and Pope+08 template SEDs, respectively.

  • 33 

    An appropriate comparison because the scatter induced by the ${\rm{\Delta }}z/(1+{z}_{\mathrm{spec}})\propto -0.059\,\times \,z$ trend across z = 3.8–4.9 will be small.

  • 34 

    bandflag = 1 and 2 sources are extremely unlikely to coincide with positive noise peaks in two or three independent images simultaneously.

  • 35 

    Redshifts of 3.7, 4.9, 6.0, or 7.2 are plausible if this line is due to CO J = 4–3, J = 5–4, J = 6–5, or J = 7–6.

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10.3847/0004-637X/832/1/78