Production of semi-inclusive doubly heavy baryons via top-quark decays

Abstract

In the paper, we present a detailed discussion on the semi-inclusive production of doubly heavy baryons (${\Xi }_{bc}$ and ${\Xi }_{bb}$) through top-quark decay channel, $t\to {\Xi }_{b{Q}^{\prime }}+\overline{Q^{\prime }}+W^{+}$, within the framework of non-relativistic QCD (NRQCD). In our calculations, the contributions from the intermediate diquark states, $⟨bc⟩{[}^3{S}_1{]}_{\bar{3}/6}$, $⟨bc⟩{[}^1{S}_0{]}_{\bar{3}/6}$, $⟨bb⟩{[}^1{S}_0{]}_6$ and $⟨bb⟩{[}^3{S}_1{]}_{\bar{3}}$, have been taken into consideration. Main uncertainties from the heavy quark mass $(m_c,~m_b~\mbox{or}~m_t)$, 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 ${\Xi }_{bc}$ and $9.49\times 10^{2-4}$ events of ${\Xi }_{bb}$ produced in one operation year through top-quark decays.

17 pages, 5 figures, 5 tables