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Why $\alpha_s$ Cannot be Determined from Hadronic Processes without Simultaneously Determining the Parton Distributions
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abstract
We show that any determination of the strong coupling $\alpha_s$ from a process which depends on parton distributions, such as hadronic processes or deep-inelastic scattering, generally does not lead to a correct result unless the parton distributions (PDFs) are determined simultaneously along with $\alpha_s$. We establish the result by first showing an explicit example, and then arguing that the example is representative of a generic situation which we explain using models for the shape of equal $\chi^2$ contours in the joint space of $\alpha_s$ and the PDF parameters.
Forward citations
Cited by 3 Pith papers
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A Determination of the Top Mass from a Global PDF Analysis
The top-quark pole mass is determined to be 172.80 ± 0.26 GeV from a global NNPDF analysis at approximate N³LO QCD including NLO QED, EW, and toponium corrections.
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A Determination of ${\alpha}_s(m_Z)$ at ${\bf aN^3LO_{QCD}}\otimes {\bf {NLO}_{QED}}$ Accuracy from a Global PDF Analysis
From a global QCD-QED parton fit with NNPDF4.0 methodology, the authors determine alpha_s(m_Z)=0.1194^{+0.0007}_{-0.0014}, consistent with the PDG average and recent lattice results.
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Parton distributions confront LHC Run II data: a quantitative appraisal
A systematic NNLO data-theory comparison shows that the main PDF sets generalise to unseen LHC and HERA data about equally well once PDF, alpha_s, and missing higher order uncertainties are included.
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