The Impact of the Mass Spectrum of Lenses in Quasar Microlensing
  Studies. Constraints on a Mixed Population of Primordial Black Holes and
  Stars
  We show that quasar microlensing magnification statistics induced by a
population of point microlenses distributed according to a mass-spectrum can be
very well approximated by that of a single-mass, "monochromatic", population.
When the spatial resolution (physically defined by the source size) is small as
compared with the Einstein radius, the mass of the monochromatic population
matches the geometric mean of the mass-spectrum. Otherwise, the best-fit mass
can be larger. Taking into account the degeneracy with the geometric mean, the
interpretation of quasar microlensing observations under the hypothesis of a
mixed population of primordial black holes and stars, makes the existence of a
significant population of intermediate mass black holes ($\sim$ 100$M_\odot$)
unlikely but allows, within a two-$\sigma$ confidence interval, the presence of
a large population ($\gtrsim 40\%$ of the total mass) of substellar black holes
($\sim$ 0.01$M_\odot$).
