Constraining Primordial Black Hole Dark Matter with CHIME Fast Radio
  Bursts
  Strong lensing of Fast Radio Bursts (FBRs) has been proposed as a relatively
clean probe of primordial black hole (PBH) dark matter. Recently, the Canadian
Hydrogen Intensity Mapping Experiment (CHIME) published a first catalog of 536
FRBs, 62 of which are from repeating sources. In light of this new data, we
re-examine the prospects to constrain the abundance of PBHs via FRBs. Extending
previous forecasts, we calculate a PBH dark matter bound using the intrinsic
burst width and a calibrated flux-ratio threshold per FRB. In addition, we take
into account the uncertainty in the relation between the FRB dispersion measure
and source redshift. We outline an algorithm to detect lensed FRBs and a method
to simulate its performance on real data and set a flux-ratio threshold for
each event, which we use to infer realistic forecasts. We then attempt to
extract a preliminary bound using the publicly available CHIME data.
Unfortunately, both instrumental noise and the provided ~1 ms time-resolution
of the public data hinder this effort. We identify one candidate event where a
double burst could be explained via strong lensing by a 10 solar-mass PBH,
which will require follow-up study at higher time resolution to either confirm
or discard. We show that with a few times the size of the first catalog --
sampled at the full instrumental time-resolution so that candidates can be
efficiently scrutinized -- CHIME will be able to find strong evidence for or
robustly rule out PBHs with mass above 10 solar masses as the dark matter.
Finally, we demonstrate that stacking repeating FRBs can improve the
constraints, especially for lower masses.
