We systematically analyzed the production of semi-inclusive doubly heavy baryons (, and ) for the process $H^0 \rightarrow \Xi_{QQ’}+ \bar {Q’} + \bar {Q}$ through four main Higgs decay channels within the framework of non-relativistic QCD. The contributions from the intermediate diquark states, , , $\langle bc\rangle[^{3}S_{1}]{/ }\langle bc\rangle[^{1}S{0}]{/ }\langle bb\rangle[^{1}S{0}]{}\langle bb\rangle[^{3}S{1}]{}$, have been taken into consideration. The differential distributions and three main sources of the theoretical uncertainties have been discussed. At the High Luminosity Large Hadron Collider, there will be about 0.43 events of , 6.32 events of and 0.28 events of produced per year. There are fewer events produced at the Circular Electron Positron Collider and the International Linear Collider, about $0.26\times 10^{2}\Xi{cc}3.83\times 10^{2}\Xi_{bc}0.17\times 10^{2}\Xi_{bb}$ in operation.

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