Trends between the carbon mass in the cold gas phase (T < 5 × 10⁴ K) coming from the diffuse halo around merging systems, M^diffuse, and their integrated physical properties. Different colors refer to projected quantities along different lines of sight parallel to the z (blue), y (pink), and x (red) axis. In each panel, white dots are M^avg (i.e., the average among the three projections), the black dashed line is the linear fit once we consider M^avg, and ρ is the Spearman coefficient corresponding to the analyzed relation. Left: M^diffuse is shown as a function of the total carbon mass in the cold gas phase (M^total). Middle and right panels: M^diffuse as a function of the total SFR and total M_⋆ of the merging systems. Highlighted in gray: H2 and H6, which have peculiar structures, and for this reason, they have not been included in the fit. Green triangles are single non-interacting galaxies (see the end of this section for discussion).