  The detection of gravitational waves (GWs) from binary black hole (BBH)
coalescences by the LIGO-Virgo-KAGRA (LVK) Collaboration has raised fundamental
questions about the genesis of these events. In this chapter, we explore the
possibility that PBHs, proposed candidates for dark matter, may serve as the
progenitors of the BBHs observed by LVK. Employing a Bayesian analysis, we
constrain the PBH model using the LVK third GW Transient Catalog (GWTC-3),
revealing that stellar-mass PBHs cannot dominate cold dark matter. Considering
a mixed population of astrophysical black holes (ABHs) and PBHs, we determine
that approximately $1/4$ of the detectable events in the GWTC-3 can be
attributed to PBH binaries. We also forecast detectable event rate
distributions for PBH and ABH binaries by the third-generation ground-based GW
detectors, such as the Einstein Telescope, offering a potential avenue to
distinguish PBHs from ABHs based on their distinct redshift evolutions.
