Upper panel: scaling relation between the HCN(4-3) luminosity (converted from 5-4, see Sect. 3.1) and the total infrared luminosity. The black squares are the individual values found in our high-z sample (after correcting for the lensing magnification). The red star shows the average intrinsic and LIR of our sample. The gray diamond is the mean position of the SPT SMG sample derived from the stacking of the ALMA cycle-0 data by Spilker et al. (2014). The orange downwards triangles are two H-ATLAS sources provided in Yang et al. (priv. comm.). The blue filled circles are from the local sample of Zhang et al. (2014). The black solid line is the best-fit relation of Zhang et al. (2014) and the dotted lines indicate the 1σ intrinsic scatter around it. Lower panel: same figure but for HCO+.
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