Curves showing the ‘equivalence radius’ (R_eq), that is, the radius at which the integrated thermal cooling luminosity equals the average jet power, as a function of halo mass, normalised by R_500c. The red, yellow, green and purple curves denote R_eq for a set of β-profiles with canonical parameters: β = 0.4, 2/3, R_c = 0.02R_500c, 0.1R_500c. Given that the definition of R_eq requires R_Jet ≤ R_eq, the region below each curve (shaded) denotes the parameter space where the radio jets can exert a significant impact on the local thermodynamical heating and cooling balance of the halo gas. The different subsets of G9 radio AGN from Igo et al. (2024) are also shown with markers defined in the legend (see text for details).