Evolution of the total radio emission within ≤500 kpc from the group centre at 140 MHz, as a function of the X-ray emission in the [0.5−2] keV range within the same region, from z = 0.5 to z = 0.4 and for our five runs. The top panel shows our prediction for a model in which electrons are injected by jets and are then only subject to radiative and adibatic changes, while in the lower panel all re-acceleration mechanisms are considered. The grey points show the real LOFAR-HBA and eRosita observations from Pasini et al. (2022).