First Constraints on Compact Dark Matter from Fast Radio Burst Microstructure

Despite existing constraints it remains possible that up to $35\%$ of all dark matter is comprised of compact objects, such as the black holes in the 10-100\,M$_\odot$ range whose existence has been confirmed by LIGO. The strong gravitational lensing of transients such as FRBs and GRBs has been suggested as a more sensitive probe for compact dark matter than intensity fluctuations observed in microlensing experiments. Recently ASKAP has reported burst substructure down to $15\mu$s timescales in FRBs in the redshift range $0.3-0.5$. We investigate here the implications of this for the detectability of dark matter by FRBs. A sample size of $\sim 10^3$ localized FRBs is required to exclude the fraction of dark matter in compact objects in the 10-100M$_\odot$ range, residing in intercepted individual galaxy halos (with impact distances $\lesssim 50\,$kpc) along FRB sightlines, to less than 35$\%$ with 95$\%$ confidence. Approximately $10^2$ localised FRBs would be required to constrain dark matter to a similar level if it were distributed along $\gtrsim 1\,$Gpc-long FRB sightlines through the cosmic web. Conversely, existing constraints on the fraction of compact dark matter permit as many as 1 in $\approx 50$ of all $z \lesssim 0.4$ FRBs to exhibit micro-lensed burst structure. We further consider the constraints that recently observed high time resolution FRB pulse profiles place on dark matter substructure on yet smaller scales, through the cumulative effect of a large collection of tiny lenses on the pulse profile; we conclude that, even if present, their effect is likely not yet observed.