Distinguishing Primordial Black Holes from Astrophysical Black Holes by
  Einstein Telescope and Cosmic Explorer
  We investigate how the next generation gravitational-wave (GW) detectors,
such as Einstein Telescope (ET) and Cosmic Explorer (CE), can be used to
distinguish primordial black holes (PBHs) from astrophysical black holes
(ABHs). Since a direct detection of sub-solar mass black holes can be taken as
the smoking gun for PBHs, we figure out the detectable limits of the abundance
of sub-solar mass PBHs in cold dark matter by the targeted search for sub-solar
mass PBH binaries and binaries containing a sub-solar mass PBH and a
super-solar mass PBH, respectively. On the other hand, according to the
different redshift evolutions of merger rate for PBH binaries and ABH binaries,
we forecast the detectable event rate distributions for the PBH binaries and
ABH binaries by ET and CE respectively, which can serve as a method to
distinguish super-solar mass PBHs from ABHs.
