IR luminosity of Herschel-detected galaxies as a function of redshift showing the position of our five lensed galaxies (open diamonds), two well-studied lensed galaxies from the literature (cB58 and the Cosmic Eye, marked as grey diamonds), and galaxies from various blank field observations, including data from the GOODS and COSMOS blank fields by Symeonidis et al. (2013) and Elbaz et al. (2011). Also plotted is the SMG sample of Magnelli et al. (2012a), and the hyLIRG detected by the HLS behind Abell 773 (Combes et al. 2012). Clearly, most of the lensed galaxies at z ~ 1.5−3 extend the blank field studies to fainter luminosities into the LIRG regime. The typical uncertainty of our LIR measurements is ± 0.1 dex or smaller. The red curve shows the minimal LIR at each redshift that can produce a flux ≥2 mJy in PACS160 (2× the confusion limit, ~3σ detection limit in GOODS-N).
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