Location of our low-L_IR-selected SFGs (squares) in the SFR-M_∗ plane compared to our compilation of galaxies with CO measurements from the literature (see Sect. 2.2). Our (sub-)L^⋆ galaxies probe one order of magnitude lower stellar masses than the bulk of z> 1 SFGs from the literature. The blue dotted, red short dashed, cyan long dashed, and black solid lines are the best fits of SFR-M_∗ MS at z ≃ 0, 1.2, 2.2, and 3, respectively, parametrized by Eq. (1). The color-coding of SFGs (our sample plus the z> 1 SFGs from the literature) refers to three redshift intervals: ⟨ z_1.2 ⟩ = [ 1,1.6 ] (red), ⟨ z_2.2 ⟩ = [ 2,2.5 ] (cyan), and ⟨ z_3.0 ⟩ = [ 2.7,3.2 ] (black) in line with the MS fits.