Abstract
In this article we calculate the next-to-leading order (NLO) QCD corrections for single on-shell top-quark production in association with two jets at proton-proton colliders. The tW channel is assumed to be measured independently. The QCD corrections to the inclusive cross section are about 28 (22)\% for top (anti-top) quark production at the 13 TeV LHC. Theoretical errors are dominated by scale uncertainties, which are found to be around 5\% at NLO. Results for various kinematical distributions are also provided using a well-motivated dynamical scale. The QCD corrections are found to have a non-trivial dependence on the phase-space.
Highlights
Twenty-five years after its discovery many questions related to the top quark are still open, despite the tremendous progress made in recent years concerning the measurement of its mass and its interactions
Singly produced top quarks provide an ideal laboratory to study the top-quark weak interactions. This is a major difference to top-quark pair production—with a roughly 3 times larger cross section, the dominant process for top-quark production in hadronic collisions—where the weak couplings are only accessible through the top-quark decay
Estimating the parton distribution function (PDF) uncertainties using the error PDFs provided by the PDF set, we find an uncertainty of 1.7% for top-quark production and a slightly larger uncertainty of 2.1% for antitop-quark production
Summary
Twenty-five years after its discovery many questions related to the top quark are still open, despite the tremendous progress made in recent years concerning the measurement of its mass and its interactions. The NLO QCD corrections to single top-quark production in association with two jets contribute to single top-quark production at NNLO QCD and are required to extend the existing leading-color results. We present the NLO corrections to single top-quark production in association with two additional light jets. The NLO corrections to single top-quark production in association with two additional jets contribute to the NNLO corrections to the inclusive single top-quark production. With this application in mind, we have decided to do the calculation by a direct evaluation of the Feynman diagrams and use GoSam only to partially cross-check the results.. In the Appendix we show additional results for the production of antitop quarks
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