The impact of primordial black holes on the stellar mass function of ultra-faint dwarf galaxies

Abstract

If primordial black holes (PBHs) constitute the dark matter (DM), stars forming in dark-matter dominated environments with low velocity dispersions, such as ultra-faint dwarf galaxies, may capture a black hole at birth. The capture probability is non-negligible for PBHs of masses around 10 20 g, and increases with stellar mass. Moreo v er, infected stars are turned into virtually invisible black holes on cosmologically short time-scales. Hence, the number of observed massive main-sequence stars in ultra-faint dwarfs should be suppressed if the DM was made of asteroid-mass PBHs. This would impact the measured mass distribution of stars, making it top-light (i.e. depleted in the high-mass range). Using simulated data that mimic the present-day observational power of telescopes, we show that already existing measurements of the mass function of stars in local ultra-f aint dw arfs could be used to constrain the fraction of DM composed of PBHs in the -currently unconstrained -mass range of 10 19 -10 21 g.