Investigation of Z-boson decay into Ξ_(bc) and Ξ_(bb) baryons within the NRQCD factorization approach

Z-boson decay provides a good opportunity to search for theΞbQ baryon because a large number of its events can be collected at high energy colliders.In this paper,we perform a complete investigation of the indirect production of theΞbc andΞbb baryons via the Z-boson decay process Z→Ξbo+b+Q with a Q=(c,b)quark under the NRQCD factorization approach.After considering the contibution from the diquark states(be)PSil3/6,<bc)[^(1)Sol3/6,(bb)[^(3)Sol6,and(bb)[3S1l3,the calculated branching fractions are B(Z-→Ξbe+X)=3.595×10^(-5)and B(Z→Ξbb+X)=1.213×10^(-6).Furthermore,theΞbe andΞbb production events are predicted to be of the order of 104 and 103 at the LHC collider,and the order of 107 and 106 for the CEPC collider.We then estimate the produc tion ratio for Z→c2(bb)→Ξbc+X withΞbc→Λ^(+)_(c)in Z-boson decay,that is,R(Z→cc→Ξ0bc+X)~0(10^(-6))br and R(Z→bb→Ξbc+X)~0(10^(-5)),respectively.Finally,we present the differential decay widths ofΞbc andΞbb with respect to 823 and z distributions and analyze the uncertainties.