  Observationally, constraining the baryonic cycle within massive galaxies has
proven to be quite difficult. In particular, the role of black hole feedback in
regulating star formation, a key process in our theoretical understanding of
galaxy formation, remains highly debated. We present here observational
evidence showing that, at fixed stellar velocity dispersion, the temperature of
the hot gas is higher for those galaxies hosting more massive black holes in
their centers. Analyzed in the context of well-established scaling relations,
particularly the mass-size plane, the relation between the mass of the black
hole and the temperature of the hot gas around massive galaxies provides
further observational support to the idea that baryonic processes within
massive galaxies are regulated by the combined effects of the galaxy halo
virial temperature and black hole feedback, in agreement with the expectations
from the EAGLE cosmological numerical simulation.
