Spectral index of the radio emission of MAD α_s as a function of 5 GHz radio luminosity of MAD L_R,mad(caution that jet emission at this frequency is not included). The red and blue curves represent α_s derived at 1–20 GHz and 20–500 GHz, respectively. The solid and the dashed properties of each curve define, respectively, the MAD.th case with ξ_pl,mad = 0 and the self-consistent MAD.pl (see Section 4.2) case with ξ_pl,mad = 1% and γ_cooling.