Mass–plane as a function of redshift for central ETGs from Horizon-AGN (left panel) and Horizon-noAGN (right panel). The magenta, blue, red, green, and yellow lines depict the simulated relations at z = 0, z = 0.5, z = 1, z = 2, and z = 3, respectively. The shaded regions delimit the 25 and 75%. The virial relation for z = 0 is shown with a black solid line. Observations from ATLAS^3D project (Cappellari et al. 2011,2013a, b) at z = 0 are included for comparison (black crosses).