  We present the calculation of the next-to-leading order QCD corrections for
top-quark pair production in association with an additional jet at hadron
colliders, using the modified minimal subtraction scheme to renormalize the
top-quark mass. The results are compared to measurements at the Large Hadron
Collider run I. In particular, we determine the top-quark running mass from a
fit of the theoretical results presented here to the LHC data.
