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The observations of gravitational waves (GWs) have revealed the existence ofblack holes (BHs) above $30M_\odot$. A variety of scenarios have been proposedas their origin. Among the scenarios, we consider the population III (Pop~III)star scenario. In this scenario, binary black holes (BBHs) containing suchmassive BHs are naturally produced. We consider Pop~I/II field binaries,Pop~III field binaries and the binaries dynamically formed in globularclusters. We employ a hierarchical Bayesian analysis method and constrain thebranching fraction of each formation channel in our universe by using theLIGO-Virgo-KAGRA gravitational wave transient catalog (GWTC-3) events. We findthat the Pop~I/II field binary channel dominates the entire merging BBHs. Weobtain the branching fraction of the Pop~III BBH channel of$0.11^{+0.08}_{-0.06}$, which gives the consistent local merger rate densitywith the model of Pop~III BBH scenario we adopt. We confirm that BHs arisingfrom the Pop~III channel contribute to massive BBHs in GWTC-3. We also evaluatethe branching fraction of each formation channel in the observed BBHs in theGWTC-3 and find the near-equal contributions from the three channels.

Constraint on the progenitor of binary black hole merger using Population III star formation channel