Soft-gluon and Coulomb corrections to hadronic top-quark pair production beyond NNLO
2018
We construct a
resummationat partial next-to-next-to-next-to-leading logarithmic accuracy for hadronic
top-quark
pair productionnear partonic threshold, including simultaneously soft-gluon and Coulomb corrections, and use this result to obtain approximate next-to-next-to-next-to-leading order predictions for the total
top-quark
pair-productioncross section at the LHC. We generalize a required one-loop potential in non-relativistic QCD to the colour-
octetcase and estimate the remaining unknown two-loop potentials and three-loop anomalous dimensions. We obtain a moderate correction of $1.5\%$ relative to the next-to-next-to-leading order prediction and observe a reduction of the perturbative uncertainty below $\pm 5\%$.
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