Determination of the strong coupling constant ${\alpha }_s(m_Z)$ from measurements of the total cross section for top-antitop quark production

Abstract

We present a determination of the strong coupling constant ${\alpha }_s(m_Z)$ using inclusive top-quark pair production cross section measurements performed at the LHC and at the Tevatron. Following a procedure first applied by the CMS collaboration, we extract individual values of ${\alpha }_s(m_Z)$ from measurements by different experiments at several centre-of-mass energies, using QCD predictions complete in NNLO perturbation theory, supplemented with NNLL approximations to all orders, and suitable sets of parton distribution functions. The determinations are then combined using a likelihood-based approach, where special emphasis is put on a consistent treatment of theoretical uncertainties and of correlations between various sources of systematic uncertainties. Our final combined result is ${\alpha }_s(m_Z)=0.1177_{-0.0036}^{+0.0034}$.

arXiv comment23 pages, 4 figures; v2 adds clarifications and further analysis details

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• Top-pair production at the LHC with MiNNLO${}_{\mathrm{PS}}$
• Measurement of energy correlators inside jets and determination of the strong coupling ${\alpha }_{\mathrm{S}}(m_{\mathrm{Z}})$
• Why ${\alpha }_s$ Cannot be Determined from Hadronic Processes without Simultaneously Determining the Parton Distributions
• Zero-jettiness resummation for top-quark pair production at the LHC
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• Soft-gluon and Coulomb corrections to hadronic top-quark pair production beyond NNLO
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• Determination of the strong-coupling constant from the $Z$-boson transverse-momentum distribution
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• Measurement of the $t\bar{t}$ production cross-section and lepton differential distributions in $e\mu$ dilepton events from $pp$ collisions at $\sqrt{s}=13$ TeV with the ATLAS detector