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We investigate the properties of the host galaxies of compact binary mergersacross cosmic time. To this end, we combine population synthesis simulationstogether with galaxy catalogues from the hydrodynamical cosmological simulationEAGLE to derive the properties of the host galaxies of binary neutron star(BNS), black hole-neutron star (BHNS) and binary black hole (BBH) mergers.Within this framework, we derive the host galaxy probability, i.e., theprobability that a galaxy hosts a compact binary coalescence as a function ofits stellar mass, star formation rate, $K_s$ magnitude and $B$ magnitude. Thisquantity is particularly important for low-latency searches of gravitationalwave (GW) sources as it provides a way to rank galaxies lying inside thecredible region in the sky of a given GW detection, hence reducing the numberof viable host candidates. Furthermore, even if no electromagnetic counterpartis detected, the proposed ranking criterion can still be used to classify thegalaxies contained in the error box. Our results show that massive galaxies (orequivalently galaxies with a high luminosity in $K_s$ band) have a higherprobability of hosting BNS, BHNS, and BBH mergers. We provide the probabilitiesin a suitable format to be implemented in future low-latency searches.

An astrophysically motivated ranking criterion for low-latency electromagnetic follow-up of gravitational wave events