Contribution of population III stars to merging binary black holes

A large number of mergers of binary black holes (BHs) have been discovered by gravitational wave observations since the first detection of gravitational waves 2015. Binary BH mergers are the loudest events in the universe; however, their origin(s) have been under debate. There have been many suggestions for merging binary BHs. Isolated binary stars are one of the most promising origins. We have investigated the evolution of isolated binary stars ranging from zero metallicity (Population III stars or Pop III stars) to the solar metallicity by means of so-called rapid binary population synthesis simulation. We have found that binary BHs formed from isolated binary stars reproduce the redshift evolution of the merger rate density and the distribution of primary BH masses and mass ratios inferred by Gravitational-Wave Transient Catalog 3 (GWTC-3). Pop III stars have a crucial role in forming merging binary BHs in so-called the pair instability mass gap. Note that we choose the conventional prescription of pair instability mass loss, based on the standard 1²C(α^{,γ ) 16}O reaction rate. Finally, we have shown the redshift evolution of the rate density of pair instability supernovae and have predicted that a few pair instability supernovae would be discovered in the next few years. The discoveries would validate our results of merging binary BHs.