Evolution of the loss processes with rest frame temperature in Cygnus X-1 (left) and Cygnus X-3 (right). The thin black lines shows the various temperature scalings detailed Table B.1. Line recombination losses (“line”) are not drawn for T > 10^7.7 as they are disabled above this temperature. Colored shading shows synchrotron losses (“syn”) when the stellar magnetic field B^⋆ is either multiplied or divided by 5, and the shading around inverse Compton losses (“ic”) illustrates a ±10% uncertainty on T^⋆. The values for the physical quantities have been chosen in the outer cocoon leeward side in fiducial runs. They allow for a clear showcasing of the loss scaling, but are not representative of the losses over the simulation. We refer to Fig. 7 to compare them over the whole jet. For Cygnus X-1: ρ = 10⁻¹⁵ g cm⁻³, B^⋆ = 10 G, T^⋆ = 3 × 10⁴ K, (x, y, z) = (1.5 × 10¹², 4.05 × 10¹³, 4 × 10¹³) cm, (v_x, v_y, v_z) = (10⁸, 10⁸, 10⁸) cm s⁻¹. For Cygnus X-3: ρ = 10⁻¹⁴ g cm⁻³, B^⋆ = 100 G, T^⋆ = 8 × 10⁴ K, (x, y, z) = (1.5 × 10¹², 3.05 × 10¹³, 3 × 10¹³) cm, (v_x, v_y, v_z) = (10⁸, 5 × 10⁸, −10³) cm s⁻¹.