• Journal of the Korean Physical Society
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• v.73 no.9
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• pp.1240-1246
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• 2018

The differential quantum chromodynamics (QCD) predictions for the $W^{\pm}$ boson and a single jet as functions of the lepton pseudorapidity in proton-proton collisions are presented up next-to-leading order correction in QCD. The predictions are done by using the most modern parton distribution functions (PDFs). To check the reliability of the PDFs, we compared 7 TeV predictions with the available experimental results at the corresponding energy. Finally, the differential QCD predictions and the asymmetry between the $W{^+}+1$ jet and $W{^-}+1$ jet events at $\sqrt{s}=7$, 8, 13, 14 and 100 TeV are discussed in detail.