Using the latest N3LO splitting functions and heavy-quark matrix elements in both MSHT20 and NNPDF4.0 approximate N3LO fits changes Higgs cross sections by less than about 0.5%, leaving the published combined PDFs reliable.
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Towards N$^3$LO PDFs and their implications for Higgs production cross-sections
Using the latest N3LO splitting functions and heavy-quark matrix elements in both MSHT20 and NNPDF4.0 approximate N3LO fits changes Higgs cross sections by less than about 0.5%, leaving the published combined PDFs reliable.