Peak radio power at 1.4 GHz versus mass of the main cluster progenitor during the simulated merger events (solid circles). The solid line corresponds to the best-fit linear relation P_1.4 = 1.4 × 10²³ (M_200,1/10¹⁴ M_⊙)^2.05 W Hz⁻¹. Error bars indicate 20 and 80 percentiles in the radio luminosity outputs. Dash-dotted and dotted lines correspond to the two additional cases discussed in the text. For comparison, we also include the corresponding de Gasperin et al. (2014) observed relation corrected to M₂₀₀ (dashed line).