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Towards N$^3$LO PDFs and their implications for Higgs production cross-sections (2505.10369v1)

Published 15 May 2025 in hep-ph

Abstract: We review the recently published PDF sets MSHT20xNNPDF40_an3lo and MSHT20xNNPDF40_an3lo_qed, which have been obtained by combining the approximate N$3$LO (aN$3$LO) sets of parton distributions (PDFs) from the MSHT20 and NNPDF4.0 series. We investigate the impact of the most recent results on N$3$LO splitting functions onto the two PDF sets. Finally, we demonstrate the impact of N$3$LO PDFs on the computation of Higgs production cross-sections at the LHC.

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