Confronting the primordial black hole scenario with the gravitational-wave events detected by LIGO-Virgo

Adopting a binned method, we model-independently reconstruct the mass function of primordial black holes (PBHs) from GWTC-3 and find that such PBH can be explained by broad red-tilted power spectrum curvature perturbations if all events (or small effective spin events) have origin. Even though GW190521 with component masses in upper gap (m>65M?) naturally interpreted scenario, (including GW190814, GW190425, GW200105, GW200115) light range (m<3M?) are quite unlikely to binary PBHs although there no electromagnetic counterparts because corresponding merger rates much smaller than those given LIGO-Virgo. Furthermore, predict both gravitational-wave (GW) background generated scalar-induced GWs accompanying formation should detected ground-based space-borne GW detectors pulsar timing arrays future.