  We calculate the next-to-leading order (NLO) quantum chromodynamics (QCD)
corrections to inclusive processes $W^+\to J/\psi(\eta_c)+c+\bar{s}+X$ and
$W^+\to B_c(B_c^{*})+b+\bar{s}+X$ in the framework of nonrelativistic QCD
(NRQCD) factorization formalism. Result indicates that the NLO corrections are
significant, and the uncertainties in theoretical predictions with NLO
corrections are greatly reduced. The charmonium and $B_c$ meson yielding rates
at the Large Hadron Collider (LHC) are given.

High Energy Physics - Phenomenology