Dependence of the metallicity-dependent CO-to-H2 conversion function, computed from Eqs. (2)–(4), on stellar mass and redshift. The lines are the iso-redshift curves, color-coded as a function of redshift, for z = 0.5 to z = 3.5 in steps of Δz = 0.5: the solid sections correspond to , the dashed segments to , and the dotted portions to . The horizontal black line marks the Milky Way CO-to-H2 conversion factor. Small symbols represent the computed values for MACSJ0032-arc (red star) as well as the compilation of MS SFGs with CO measurements from the literature (Dessauges-Zavadsky et al. 2015). Large symbols correspond to the few MS SFGs for which gas-phase metallicities have been measured from rest-frame optical nebular lines. The symbols are color-coded according to galaxy redshift and their shapes indicate ratios (<1.5: circles, 1.5−2: triangles, and >2: squares and star).
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