In the paper, we present a detailed discussion on the semi-inclusive production of doubly heavy baryons (${\mathrm{\Xi }}_{bc}$ and ${\mathrm{\Xi }}_{bb}$) through top-quark decay channel, $t\to {\mathrm{\Xi }}_{b{Q}^{\prime }}+\overline{Q^{\prime }}+W^{+}$, within the framework of nonrelativistic QCD. In our calculations, the contributions from the intermediate diquark states, $⟨bc⟩[{{}^{3}S}_1{]}_{\overline{\mathbf{3}}/\mathbf{6}}$, $⟨bc⟩[{{}^{1}S}_0{]}_{\overline{\mathbf{3}}/\mathbf{6}}$, $⟨bb⟩[{{}^{1}S}_0{]}_{\mathbf{6}}$, and $⟨bb⟩[{{}^{3}S}_1{]}_{\overline{\mathbf{3}}}$, have been taken into consideration. Main uncertainties from the heavy quark mass $(m_c$, $m_b$ or $m_t)$, the renormalization scale ${\mu }_r$, and the nonperturbative transition probability have been estimated. For a comparison, we also analyze the production of doubly heavy baryons under the approximate fragmentation function approach. Estimated at the LHC or a High Luminosity LHC with $\mathcal{L}={10}^{34–36}{\mathrm{cm}}^{-2}{\mathrm{s}}^{-1}$, there will be about $2.25\times {10}^{4–6}$ events of ${\mathrm{\Xi }}_{bc}$ and $9.49\times {10}^{2-4}$ events of ${\mathrm{\Xi }}_{bb}$ produced in one operation year through top-quark decays.

• Received 22 May 2018
• Revised 9 October 2018

DOI:https://doi.org/10.1103/PhysRevD.98.094021

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Published by the American Physical Society