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arXiv · 2411.05373

Combination of aN$^3$LO PDFs and implications for Higgs production cross-sections at the LHC

Abstract

We discuss how the two existing approximate N$^3$LO (aN$^3$LO) sets of parton distributions (PDFs) from the MSHT20 and NNPDF4.0 series can be combined for LHC phenomenology, both in the pure QCD case and for the QCD$\otimes$QED sets that include the photon PDF. Using the resulting combinations, we present predictions for the total inclusive cross-section for Higgs production in gluon fusion, vector boson fusion, and associated production at the LHC Run-3. For the gluon fusion and vector boson fusion channels, the corrections that arise when using correctly matched aN$^3$LO PDFs with N$^3$LO cross section calculations, compared to using NNLO PDFs, are significant, in many cases larger than the PDF uncertainty, and generally larger than the differences between the two aN$^3$LO PDF sets entering the combination. The combined aN$^3$LO PDF sets, MSHT20xNNPDF40_an3lo and MSHT20xNNPDF40_an3lo_qed, are made publicly available in the LHAPDF format and can be readily used for LHC phenomenology.

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BibTeXRIS

Thomas Cridge, Lucian A. Harland-Lang, Jamie McGowan, Robert S. Thorne, Richard D. Ball, Alessandro Candido, Stefano Carrazza, Juan Cruz-Martinez, Luigi Del Debbio, Stefano Forte, Felix Hekhorn, Giacomo Magni, Emanuele R. Nocera, Tanjona R. Rabemananjara, Juan Rojo, Roy Stegeman, Maria Ubiali. 2024-11-08. Combination of aN$^3$LO PDFs and implications for Higgs production cross-sections at the LHC. https://doi.org/10.1088/1361-6471%2Fadde78

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