CO(5–4) luminosity of our sample compared with the maximum IR luminosity allowed by the continuum non-detections. We computed the maximum L_IR by considering the average SED template from Magdis et al. (2021) and rescaling it to match the observations. We considered both a template with dust temperature of 20 K (red circles) and 30 K (blue squares, see Sect. 4.3). We report both individual measurements (empty symbols) and stacking (filled diamonds for detections, down-pointing triangles for non-detections). We plot (black line) the CO(5–4) – L_IR relation estimated by Valentino et al. (2020) for star-forming galaxies. The top axis indicates the SFR estimated from the maximum L_IR with the Kennicutt & De Los Reyes (2021) conversion.