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Twelve measurements of inclusive cross sections of W$^\pm$ and Z bosonproduction, performed in proton-proton collisions at centre-of-mass energies of7 and 8 TeV, are compared with perturbative quantum chromodynamics calculationsat next-to-next-to-leading order (NNLO) accuracy obtained with the CT14,HERAPDF2.0, MMHT14, and NNPDF3.0 parton distribution functions (PDFs). Data andtheory agree well for all PDF sets, taking into account the experimental andtheoretical uncertainties. A novel procedure is employed to extract the strongcoupling constant at the Z pole mass from a detailed comparison of all theexperimental fiducial cross sections to the corresponding NNLO theoreticalpredictions, yielding $\alpha_{S}(m_\mathrm{Z}) =$ 0.1163$^{+0.0024}_{-0.0031}$ (CT14), 0.1072 $^{+0.0043}_{-0.0040}$ (HERAPDF2.0),0.1186 $\pm$ 0.0025 (MMHT14), and 0.1147 $\pm$ 0.0023 (NNPDF3.0). Using theresults obtained with the CT14 and MMHT14 PDFs, which yield the most robust andstable $\alpha_{S}(m_\mathrm{Z})$ extractions, a value$\alpha_{S}(m_\mathrm{Z}) =$ 0.1175 $^{+0.0025}_{-0.0028}$ is determined.

the journal of high energy physics/the journal of high energy physics

Determination of the strong coupling constant $\alpha_{S}(m_\mathrm{Z})$  from measurements of inclusive W$^\pm$ and Z boson production cross sections  in proton-proton collisions at $\sqrt{s} =$ 7 and 8 TeV