[CII] luminosity as a function of total SFR (UV+FIR; see text) for the ALPINE detections (green squares) and nondetections (as 3σ upper limits; yellow triangles). The red markers represent the [CII]-undetected galaxies with less precise z_spec (see Sect. 2). The green errobars in the upper right corner show the average uncertainties of [CII] detections on both L_[CII] and SFR. The cyan big star shows the result of this work for the stacked nondetections, with the error on L_[CII] computed as described in Sect. 3. The cyan circles are the [CII] upper limit and detection found in the low- and high-SFR bins introduced in the text, respectively. We also report different L_[CII]-SFR relations from the literature: the local relation by De Looze et al. (2014) (dashed gray line), the predicted relation by the models of Lagache et al. (2018) at z ∼ 5 (dashed green line), the predicted relation by Arata et al. (2020) for galaxies at z > 6 (dashed yellow line), the fitted relation by Harikane et al. (2020) on z > 6 galaxies (dashed pink line), the latest results obtained by Schaerer et al. (2020) at z ∼ 5 with ALPINE considering nondetections as 3σ upper limits (dashed red line). Finally, the solid blue line and shaded area report our best-fit and uncertainties to the [CII] detections + stacked robust nondetections.