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

In the paper, we present a detailed discussion on the semi-inclusive production of doubly heavy baryons (Ξbc and Ξbb) through top-quark decay channel, t→ΞbQ′+Q′+W+, within the framework of nonrelativistic QCD. In our calculations, the contributions from the intermediate diquark states, bc [S31]3/6, bc [S10]3/6, bb [S10]6, and bb [S31]3, have been taken into consideration. Main uncertainties from the heavy quark mass (mc, mb or mt), the renormalization scale μr, 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 L=1034-36 cm-2 s-1, there will be about 2.25×104-6 events of Ξbc and 9.49×102-4 events of Ξbb produced in one operation year through top-quark decays.