NLO QCD corrections to the production of ttZ in gluon fusion

We compute the $\mathcal{O}({\ensuremath{\alpha}}_{s})$ QCD corrections to the partonic process $gg\ensuremath{\rightarrow}t\overline{t}Z$ at the LHC. This partonic channel is the dominant component of the scattering process $pp\ensuremath{\rightarrow}t\overline{t}Z$, which will be important for measuring the $t\overline{t}Z$ electroweak couplings. We perform this calculation using a newly developed numerical technique for obtaining loop corrections. The $\mathcal{O}({\ensuremath{\alpha}}_{s})$ corrections increase the total cross section by up to 75% for reasonable choices of the renormalization and factorization scales. Inclusion of these contributions decreases the residual scale dependence of the cross section coming from uncalculated higher order terms to $\ifmmode\pm\else\textpm\fi{}5%$.