On the origin of the warm-hot absorbers in the Milky Way's halo

Disc galaxies like the Milky Way are expected to be surrounded by massive coronae of hot plasma that may contain a significant fraction of the so-called missing baryons. We investigate whether the local (vertical bar v(LSR)vertical bar < 400 km s(-1)) warm-hot absorption features observed towards extra-Galactic sources or halo stars are consistent with being produced by the cooling of the Milky Way's corona. In our scheme, cooling occurs at the interface between the disc and the corona and it is triggered by positive supernova feedback. We combine hydrodynamical simulations with a dynamical 3D model of the galactic fountain to predict the all-sky distribution of this cooling material, and we compare it with the observed distribution of detections for different 'warm' (Si iii, Si iv, C ii, C iv) and 'hot' (O vi) ionized species. The model reproduces the position-velocity distribution and the column densities of the vast majority of warm absorbers and about half of O vi absorbers. We conclude that the warm-hot gas responsible for most of the detections lies within a few kiloparsec from the Galactic plane, where high-metallicity material from the disc mixes efficiently with the hot corona. This process provides an accretion of a few M-circle dot yr(- 1) of fresh gas that can easily feed the star formation in the disc of the Galaxy. The remaining O vi detections are likely to be a different population of absorbers, located in the outskirts of the Galactic corona and/or in the circumgalactic medium of nearby galaxies.