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I study the contribution of young massive star clusters (YMCs) and open starclusters (OCs) to the present-day intrinsic merger rate density ofdynamically-assembled binary black holes (BBHs). The BBH merger event rate isestimated based on a set of 65 state-of-the-art evolutionary models of starclusters, as presented in Banerjee (2021). These relativistic direct many-bodycomputed models incorporate up-to-date stellar mass loss and remnant formationingredients. The merger-event rates are obtained by constructing a clusterpopulation of the Universe, out of the models, taking into account massdistribution of clusters and cosmic star formation and enrichment histories, asper observations. The model BBH merger rate density ranges from a pessimisticto a reference value of $0.5{\rm~yr}^{-1}{\rm Gpc}^{-3}-37.9{\rm~yr}^{-1}{\rmGpc}^{-3}$, for a LIGO-Virgo-like detector horizon. The reference rate wellaccommodates the BBH merger rate densities estimated from GWTC-1 and GWTC-2merger-event catalogues. The computed models also yield differential BBH mergerrate densities that agree reasonably with those from GWTC-1 and, as well, withthe much more constrained ones from GWTC-2. These results suggest thatdynamical interactions in YMCs and OCs can, in principle, alone explain the BBHmerger rate density and its dependence on the merging-binary properties, asinferred from to-date gravitational-wave (GW) events. The cosmic evolution ofmerger rate density from the computed models is also studied. The modelspredict a rate of $\approx5{\rm~yr}^{-1}{\rm Gpc}^{-3}$ for eccentricLIGO-Virgo mergers from YMCs and OCs. The improving constraints on BBH mergerrate density with mounting GW events will help constraining scenarios of starcluster formation across cosmic time and as well the relative contributions ofthe various compact binary merger channels.

Stellar-mass black holes in young massive and open stellar clusters V: comparisons with LIGO-Virgo merger rate densities