Soft-gluon and Coulomb corrections to hadronic top-quark pair production beyond NNLO
Abstract
We construct a resummation at partial next-to-next-to-next-to-leading logarithmic accuracy for hadronic top-quark pair production near 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-production cross section at the LHC. We generalize a required one-loop potential in non-relativistic QCD to the colour-octet case and estimate the remaining unknown twoloop 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 ±5%.
- Publication:
-
Journal of High Energy Physics
- Pub Date:
- March 2018
- DOI:
- 10.1007/JHEP03(2018)164
- arXiv:
- arXiv:1801.05788
- Bibcode:
- 2018JHEP...03..164P
- Keywords:
-
- Perturbative QCD;
- Resummation;
- High Energy Physics - Phenomenology;
- High Energy Physics - Experiment
- E-Print:
- 47 pages, 5 figures, v2: published version, typos corrected (including scale uncertainties in Eqs. (4.16)-(4.20)), references added