A determination of αs(mZ) at aN3LOQCD⊗NLOQED accuracy from a global PDF analysis

NNPDF Collaboration

doi:10.1140/epjc/s10052-025-14676-y

A determination of αs(mZ) at aN3LOQCD⊗NLOQED accuracy from a global PDF analysis

NNPDF Collaboration

(Astro)-Particles Physics

Research output: Contribution to Journal › Article › Academic › peer-review

Abstract

We present a determination of the strong coupling αs(mZ) from a global dataset including both fixed-target and collider data from deep-inelastic scattering and a variety of hadronic processes, with a simultaneous determination of parton distribution functions (PDFs) based on the NNPDF4.0 methodology. This determination is performed at NNLO and approximate N3LO (aN3LO) perturbative QCD accuracy, including QED corrections and a photon PDF up to NLO accuracy. We extract αs using two independent methodologies, both of which take into account the cross-correlation between αs and the PDFs. The two methodologies are validated by closure tests that allow us to detect and remove or correct for several sources of bias, and lead to mutually consistent results. We account for all correlated experimental uncertainties, as well as correlated theoretical uncertainties related to missing higher order perturbative corrections (MHOUs). We study the perturbative convergence of our results and the impact of QED corrections. We assess individual sources of uncertainty, specifically MHOUs and the value of the top quark mass. We provide a detailed appraisal of methodological choices, including the choice of input dataset, the form of solution of evolution equation, the treatment of the experimental covariance matrix, and the details of Monte Carlo data generation. We find αs(mZ)=0.1194-0.0014+0.0007 at aN3LOQCD⊗NLOQED accuracy, consistent with the latest PDG average and with recent lattice results.

Original language	English
Article number	1001
Pages (from-to)	1-17
Number of pages	17
Journal	European Physical Journal C
Volume	85
Issue number	9
Early online date	16 Sept 2025
DOIs	https://doi.org/10.1140/epjc/s10052-025-14676-y
Publication status	Published - Sept 2025

Bibliographical note

Publisher Copyright:
© The Author(s) 2025.

Funding

R.D.B and R.S. thank the Science and Technology Facilities Council (STFC) for support via grant awards ST/T000600/1 and ST/X000494/1. S.F. is partly funded by the European Union NextGeneration EU program, NRP Mission 4 Component 2 Investment 1.1 – MUR PRIN 2022 CUPG53D23001100006 through the Italian Ministry of University and Research. F.H. has been supported by the Academy of Finland project 358090 and was funded as a part of the Center of Excellence in Quark Matter of the Academy of Finland, project 346326. E.R.N. is supported by the Italian Ministry of University and Research (MUR) through the “Rita Levi-Montalcini” Program. J.R. is partially supported by NWO, the Dutch Research Council.

Funders	Funder number
Ministero dell'Università e della Ricerca
Nederlandse Organisatie voor Wetenschappelijk Onderzoek
Research Council of Finland	358090, 346326
European Commission	CUPG53D23001100006
Science and Technology Facilities Council	ST/T000600/1, ST/X000494/1

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title = "A determination of αs(mZ) at aN3LOQCD⊗NLOQED accuracy from a global PDF analysis",

abstract = "We present a determination of the strong coupling αs(mZ) from a global dataset including both fixed-target and collider data from deep-inelastic scattering and a variety of hadronic processes, with a simultaneous determination of parton distribution functions (PDFs) based on the NNPDF4.0 methodology. This determination is performed at NNLO and approximate N3LO (aN3LO) perturbative QCD accuracy, including QED corrections and a photon PDF up to NLO accuracy. We extract αs using two independent methodologies, both of which take into account the cross-correlation between αs and the PDFs. The two methodologies are validated by closure tests that allow us to detect and remove or correct for several sources of bias, and lead to mutually consistent results. We account for all correlated experimental uncertainties, as well as correlated theoretical uncertainties related to missing higher order perturbative corrections (MHOUs). We study the perturbative convergence of our results and the impact of QED corrections. We assess individual sources of uncertainty, specifically MHOUs and the value of the top quark mass. We provide a detailed appraisal of methodological choices, including the choice of input dataset, the form of solution of evolution equation, the treatment of the experimental covariance matrix, and the details of Monte Carlo data generation. We find αs(mZ)=0.1194-0.0014+0.0007 at aN3LOQCD⊗NLOQED accuracy, consistent with the latest PDG average and with recent lattice results.",

author = "Roy Stegeman and Juan Rojo and Nocera, \{Emanuele R.\} and Felix Hekhorn and Stefano Forte and Juan Cruz-Martinez and Andrea Barontini and Ball, \{Richard D.\} and NNPDF Collaboration",

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AU - Stegeman, Roy

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AU - Hekhorn, Felix

AU - Forte, Stefano

AU - Cruz-Martinez, Juan

AU - Barontini, Andrea

AU - Ball, Richard D.

AU - NNPDF Collaboration

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AB - We present a determination of the strong coupling αs(mZ) from a global dataset including both fixed-target and collider data from deep-inelastic scattering and a variety of hadronic processes, with a simultaneous determination of parton distribution functions (PDFs) based on the NNPDF4.0 methodology. This determination is performed at NNLO and approximate N3LO (aN3LO) perturbative QCD accuracy, including QED corrections and a photon PDF up to NLO accuracy. We extract αs using two independent methodologies, both of which take into account the cross-correlation between αs and the PDFs. The two methodologies are validated by closure tests that allow us to detect and remove or correct for several sources of bias, and lead to mutually consistent results. We account for all correlated experimental uncertainties, as well as correlated theoretical uncertainties related to missing higher order perturbative corrections (MHOUs). We study the perturbative convergence of our results and the impact of QED corrections. We assess individual sources of uncertainty, specifically MHOUs and the value of the top quark mass. We provide a detailed appraisal of methodological choices, including the choice of input dataset, the form of solution of evolution equation, the treatment of the experimental covariance matrix, and the details of Monte Carlo data generation. We find αs(mZ)=0.1194-0.0014+0.0007 at aN3LOQCD⊗NLOQED accuracy, consistent with the latest PDG average and with recent lattice results.

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A determination of αs(mZ) at aN3LOQCD⊗NLOQED accuracy from a global PDF analysis

Abstract

Bibliographical note

Funding

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