We compute the $O\left({\alpha }_s^3\right)$ inclusive total cross section for the process $p\overline{p}\to t\overline{t}h$ in the standard model, at $\sqrt{s_H}=2\mathrm{}\mathrm{TeV}$. The next-to-leading order corrections drastically reduce the renormalization and factorization scale dependence of the Born cross section and slightly decrease the total cross section for renormalization and factorization scales between $m_t$ and ${2m}_t$.

• Received 10 July 2001

DOI:https://doi.org/10.1103/PhysRevLett.87.201804