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@ARTICLE{Cridge:604959,
      author       = {Cridge, Thomas and Harland-Lang, L. A. and Thorne, R. S.},
      title        = {{A} first determination of the strong coupling $\alpha_{S}$
                      at approximate {N}$^{3}${LO} order in a global {PDF} fit},
      reportid     = {PUBDB-2024-01287, DESY-24-044. arXiv:2404.02964},
      year         = {2024},
      abstract     = {We present the first determination of the value of the
                      strong coupling via a simultaneous global fit of the proton
                      parton distribution functions (PDFs) at approximate
                      N$^{3}$LO (aN$^{3}$LO) order in QCD. This makes use of the
                      MSHT global PDF fitting framework, and in particular the
                      recent theoretical advances that allow a PDF fit to now be
                      performed at this order. The value of the strong coupling is
                      found to be $\alpha_S(M_Z^2)$(aN$^{3}$LO)$ = 0.1170 \pm
                      0.0016$. This is in excellent agreement with the NNLO value
                      of $\alpha_S(M_Z^2)$(NNLO) $= 0.1171 \pm 0.0014$, indicating
                      that good perturbative convergence has been found. The
                      resulting uncertainties, calculated using the MSHT dynamic
                      tolerance procedure, are somewhat larger, but more accurate,
                      at aN$^{3}$LO, due to the missing higher order theoretical
                      uncertainties that are included at this order, but not at
                      NNLO. We in addition present a detailed breakdown of the
                      individual dataset sensitivity to the value of the strong
                      coupling, with special focus on the impact of fitting dijet
                      rather than inclusive jet data. This choice is found to have
                      a non-negligible impact, but with overall good consistency
                      found, especially at aN$^{3}$LO.},
      keywords     = {parton: distribution function (INSPIRE) / strong
                      interaction: coupling constant (INSPIRE) / higher-order: 3
                      (INSPIRE) / dijet (INSPIRE) / quantum chromodynamics:
                      perturbation theory (INSPIRE) / sensitivity (INSPIRE) /
                      statistical analysis (INSPIRE) / data analysis method
                      (INSPIRE)},
      cin          = {T},
      cid          = {I:(DE-H253)T-20120731},
      pnm          = {611 - Fundamental Particles and Forces (POF4-611) /
                      COLORFREE - High-Precision Global Analysis of Color-Free LHC
                      Processes at Small Recoil (101002090)},
      pid          = {G:(DE-HGF)POF4-611 / G:(EU-Grant)101002090},
      experiment   = {EXP:(DE-MLZ)NOSPEC-20140101},
      typ          = {PUB:(DE-HGF)25},
      eprint       = {2404.02964},
      howpublished = {arXiv:2404.02964},
      archivePrefix = {arXiv},
      SLACcitation = {$\%\%CITATION$ = $arXiv:2404.02964;\%\%$},
      doi          = {10.3204/PUBDB-2024-01287},
      url          = {https://bib-pubdb1.desy.de/record/604959},
}