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All the giant planets in the solar system host a large number of naturalsatellites. Moons in extrasolar systems are difficult to detect, but aNeptune-sized exomoon candidate has been recently found around a Jupiter-sizedplanet in the Kepler-1625bsystem. Due to their relative ease of detection, hotJupiters (HJs), which reside in close orbits around their host stars with aperiod of a few days, may be very good candidates to search for exomoons. It isstill unknown whether the HJ population can host (or may have hosted) exomoons.One suggested formation channel for HJs is high-eccentricity migration inducedby a stellar binary companion combined with tidal dissipation. Here, weinvestigate under which circumstances an exomoon can prevent or allowhigh-eccentricity migration of a HJ, and in the latter case, if the exomoon cansurvive the migration process. We use both semianalytic arguments, as well asdirect N-body simulations including tidal interactions. Our results show thatmassive exomoons are efficient at preventing high-eccentricity migration. If anexomoon does instead allow for planetary migration, it is unlikely that the HJformed can host exomoons since the moon will either spiral onto the planet orescape from it during the migration process. A few escaped exomoons can becomestable planets after the Jupiter has migrated, or by tidally migratingthemselves. The majority of the exomoons end up being ejected from the systemor colliding with the primary star and the host planet. Such collisions mightnonetheless leave observable features, such as a debris disc around the primarystar or exorings around the close-in giant.

The ominous fate of exomoons around hot Jupiters in the high-eccentricity migration scenario