标题： 迈向N$^3$LO PDFs及其对Higgs产生截面的影响 显示英文标题

标题： Towards N$^3$LO PDFs and their implications for Higgs production cross-sections

摘要： 我们回顾了最近发布的PDF集MSHT20xNNPDF40_an3lo和MSHT20xNNPDF40_an3lo_qed，这些集合是通过结合MSHT20系列和NNPDF4.0系列的部分分布（PDF）的近似N$^3$LO (aN$^3$LO)集合获得的。 我们研究了最新的N$^3$LO分裂函数结果对这两个PDF集合的影响。 最后，我们展示了N$^3$LO PDFs对LHC上Higgs产生截面计算的影响。 显示英文摘要

摘要： 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.