Abstract
The differential quantum chromodynamics (QCD) predictions for the W± 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.
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