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NNPDF4.0 aN$^3$LO PDFs with QED corrections
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abstract
We review recent progress in the global determination of the collinear parton distributions (PDFs) of the proton within the NNPDF framework. This progress includes NNPDF4.0 variants with QED effects and with missing higher order uncertainties (MHOUs) via the theory covariance matrix formalism, as well as PDFs based on QCD calculations at approximate N$^3$LO (aN$^3$LO) accuracy. We present the combination of these theoretical developments resulting into NNPDF4.0 aN$^3$LO variants accounting for QED corrections and with a photon PDF. We compare these aN$^3$LO QED PDFs with analogous results obtained by the MSHT group, and briefly quantify their implications at the level of representative LHC cross-sections.
Forward citations
Cited by 3 Pith papers
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Impact of Z-boson transverse-momentum resummation on PDF determination
N3LL' resummation is required to reconcile the 13 TeV ATLAS Z-pT spectrum with global PDF fits, but lowering the pT cut below 30 GeV is not yet supported.
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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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QED-enhanced PDF implications for the Higgs sector
Modern LUX-based photon PDFs in CT, MSHT and NNPDF produce consistent QED corrections to Higgs production, with a residual 3-4% spread dominated by baseline QCD PDF differences.
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