The Next-to-Leading Order Corrections to Top Quark Decays to Heavy Quarkonia

The decay widths of top quark to S-wave $b\bar{c}$ and $b\bar{b}$ bound states are evaluated at the next-to-leading(NLO) accuracy in strong interaction. Numerical calculation shows that the NLO corrections to these processes are remarkable. The quantum chromodynamics(QCD) renormalization scale dependence of the results are obviously depressed, and hence the uncertainties lying in the leading order calculation are reduced.