Prompt heavy quarkonium production in association with a massive (anti)bottom quark at the LHC

In this work, we investigate the associated production of prompt heavy quarkonium and a massive (anti)bottom quark to leading order in the nonrelativistic QCD factorization formalism at the LHC. We present numerical results for the processes involving J/psi, chi(cJ), Gamma and chi(bJ). From our work, we find that the production rates of these processes are quite large, and these processes have the potential to be detected at the LHC. When p(T) is smaller than about 10 GeV, the c (c) over bar[S-1(0)(8)] states give the main contribution to the p(T) distribution of prompt J/psi with a massive (anti)bottom quark production. For the process pp -> Gamma + b((b) over bar), the contribution of the color-singlet mechanism is larger than that in the color-octet mechanism at low p(T) region. We also investigate the processes pp -> chi(cJ) + b((b) over bar) and pp -> chi(bJ) + b((b) over bar); the p(T) distributions are dominated by the color-octet Fock-state contribution at large p(T). These processes provide an interesting signature that could be studied at the LHC, and the measurement of these processes is useful to test the color-singlet mechanism and color-octet mechanism.