Total IR (8−1000 μm) luminosity or SFR as a function of CO(1−0) luminosity for the PHz-IRAM sources and for 1.4 < z < 3.1 cluster and protocluster members from the literature (same symbols as in Fig. 14). The protocluster massive spiral HAE229 (Dannerbauer et al. 2017) is shown as full gold triangle. The solid green line and the dashed magenta line represent, respectively, the average relations for normal SFGs and starburst galaxies (Sargent et al. 2014). Open magenta or green squares are overplotted over the PHz sources classified as starburst, or normal SFGs based on the agreement with the drawn relations. In the inset, we show the same graph and data, but extended to lower luminosities and include a sample of CO-detected normal SFGs at z = 1.4−2.4 (lilac open circles; Daddi et al. 2010; Tacconi et al. 2013).