On the assembly of the Milky Way dwarf satellites and their common mass scale

Abstract: We use a particle tagging technique to dynamically populate the N-body Via Lactea II high-resolution simulation with stars. The method is calibrated using the observed luminosity function of Milky Way satellites and the concentration of their stellar populations, and self-consistently follows the accretion and disruption of progenitor dwarfs and the build-up of the stellar halo in a cosmological "live host". Simple prescriptions for assigning stellar populations to collisionless particles are able to reproduce many properties of the observed Milky Way halo and its surviving dwarf satellites, like velocity dispersions, sizes, brightness profiles, metallicities, and spatial distribution. Our model predicts the existence of approximately 1,850 subhalos harboring "extremely faint" satellites (with mass-to-light ratios >5,000) lying beyond the Sloan Digital Sky Survey detection threshold. Of these, about 20 are "first galaxies", i.e. satellites that formed a stellar mass above 10 Msun before redshift 9. The ten most luminous satellites (L> 1e6 Lsun) in the simulation are hosted by subhalos with peak circular velocities today in the range V_max=10-40 km/s that have shed between 80% and 99% of their dark mass after being accreted at redshifts 1.7< z <4.6. The satellite maximum circular velocity and stellar line-of-sight velocity dispersion today follow the relation V_max=2.2 sigma_los. We apply a standard mass estimation algorithm based on Jeans modelling of the line-of-sight velocity dispersion profiles to the simulated dwarf spheroidals, and test the accuracy of this technique. The inner (within 300 pc) mass-luminosity relation for currently detectable satellites is nearly flat in our model, in qualitative agreement with the "common mass scale" found in Milky Way dwarfs. We do, however, predict a weak, but significant positive correlation for these objects: M_300 ~L^{0.088 \pm 0.024}.