Next-to-Leading-Order QCD Corrections to $t\overline{t}+\mathrm{\text{jet}}$ Production at Hadron Colliders

We report on the calculation of the next-to-leading-order QCD corrections to the production of top-quark–top-antiquark pairs in association with a hard jet at the Fermilab Tevatron and the CERN Large Hadron Collider. We present results for the $t\overline{t}+\mathrm{\text{jet}}$ cross section and the forward-backward charge asymmetry. The corrections stabilize the leading-order prediction for the cross section. The charge asymmetry receives large corrections.

Figure 1

A representative set of pentagon diagrams for hadronic $t\overline{t}+\mathrm{\text{jet}}$ production at NLO QCD.

Figure 2

Scale dependence of the LO cross sections for $t\overline{t}+\mathrm{\text{jet}}$ production at the Tevatron (upper plot) and at the LHC (lower plot), where the renormalization and factorization scales are set equal to $\mu$. The individual contributions of the various partonic channels are shown also separately.

Figure 3

Scale dependence of the LO and NLO cross sections for $t\overline{t}+\mathrm{\text{jet}}$ production at the Tevatron (upper plot) and at the LHC (lower plot), where the renormalization and factorization scales are set equal to $\mu$.

Figure 4

Scale dependence of the LO and NLO forward-backward charge asymmetry of the top quark in $p\overline{p}\to t\overline{t}+\mathrm{\text{jet}}+X$ at the Tevatron, where the renormalization and factorization scales are set equal to $\mu$.