$B_c$ Production in Higgs Boson Decays

$B_c$ production rate in Higgs boson decays is evaluated in NRQCD framework. Given Higgs total decay width is about $4.20~MeV$ and the vector $B^*_c$ meson decays completely to the ground state, we find that the branching fraction of $B_c$ meson production in Higgs decays is $8.50\times10^{-4}$, where both leading QED and QCD contributions are included. This process is hence detectable in the high-luminosity/energy LHC. In confronting to the quarkonia production, we find that the fraction rate of $B_c$ production is more than an order of magnitude bigger than those of charmonium and bottomoium production in Higgs decays. In the calculation, various differential distributions and uncertainties of the concerned processes are analysed.