Microlensing and dynamical constraints on primordial black hole dark
  matter with an extended mass function
  The recent discovery of gravitational waves from mergers of $\sim 10 \,
M_{\odot}$ black hole binaries has stimulated interested in Primordial Black
Hole dark matter in this mass range. Microlensing and dynamical constraints
exclude all of the dark matter being in compact objects with a delta function
mass function in the range $10^{-7} \lesssim M/ M_{\odot} \lesssim 10^{5}$.
However it has been argued that all of the dark matter could be composed of
compact objects in this range with an extended mass function. We explicitly
recalculate the microlensing and dynamical constraints for compact objects with
an extended mass function which replicates the PBH mass function produced by
inflation models. We find that the microlensing and dynamical constraints place
conflicting constraints on the width of the mass function, and do not find a
mass function which satisfies both constraints.
