Speaker
Description
We discussion an extension of the NNPDF4.0 parton distribution functions (PDFs) to approximate N$^3$LO. We assess the perturbative stability of the resulting PDFs and study the impact of missing higher order uncertainties, NLO QED corrections and the photon PDF, and we compare our results to the aN$^3$LO PDFs from the MSHT group. We present predictions for the total inclusive cross-section for Higgs production in gluon fusion, vector boson fusion, and associated production. 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 currently available.
