Left panel: molecular gas fraction fgas = Mgas/M∗ as a function of the offset from the main sequence, after normalisation to the mid-line of main sequence at each redshift, by removing the redshift dependences with the fitting functions f2(z) in Table 4 of Genzel et al. (2015) corresponding to CO data, global distribution. Right panel: molecular gas fraction as a function of the galaxy stellar mass, after normalisation to the mid-line of main sequence, by removing the specific star formation rate dependence with the fitting function g2(sSFR/sSFR(ms,z,M∗) in Table 4 of Genzel et al. (2015) for CO data, global distribution. The black pentagon marks J1148+5251 at z = 6.4. The green triangle marks the QSO XID2028 with a detected ionised outflow and measured molecular gas mass (Cresci et al. 2015; Brusa et al. 2015b). The red, dashed lines mark the average correlations found by Genzel et al. 2015.
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