Next-to-leading order QCD corrections to the production of $B_c$ and $B_c^*$ through $W^+$-boson decays

In this paper, we calculate the total decay widths for the $W^+$-boson decays, $W^+ to B_c+b+bar{s}+X$ and $W^+ to B^*_c+b+bar{s}+X$, up to next-to-leading order (NLO) accuracy within the framework of the nonrelativistic QCD theory. Both the fixed-order and the fragmentation approaches are adopted to do the calculation. Differential decay widths $dGamma/dz$ and $dGamma/ds_1$ are also given. We find that the NLO corrections are significant in those two $W^+$ decay channels. Our numerical results show that at the LHC, there are about $7.03times 10^4$ $B_c$-meson events and $5.10times 10^4$ $B^*_c$-meson events to be produced via the $W^+$-boson decays per operation year.