Left panel: SFR–M_* plane with the MS from Schreiber et al. (2015) displayed as a solid blue line. Its 1σ scatter associated with 0.5 < ΔMS < 2 (∼0.3 dex) is represented as a shaded blue area, with a more extended typical scatter of 0.33 < ΔMS < 3 (∼0.5 dex) in lighter blue. We note that the values are scaled to a common redshift (z_med = 2.46) as explained in the main text. Right panel: distance to the MS defined as the ratio of the SFR to the SFR of the MS at a fixed stellar mass and redshift (ΔMS = SFR/SFR_MS). Filled circles represent galaxies with a Herschel counterpart and open circles galaxies without a Herschel counterpart. SBs in the MS are highlighted in red: galaxies with τ_dep below the scatter of the scaling relation and in the MS within a factor 3 (see Sect. 4). Galaxies identified as AGN are highlighted with diamonds.