TY - GEN TI - MSHT Updates 2024 EP - 5 AV - public Y1 - 2025/// SP - 1 N1 - Š Copyright owned by the author(s) under the terms of the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License (https://creativecommons.org/licenses/by-nc-nd/4.0/deed.en). ID - discovery10205270 N2 - We present various recent updates related to the MSHT20 PDF sets, and particularly to the MSHT20 approximate N3LO (aN3LO) PDFs. These include an investigation of including either inclusive jet data or dijet data, the detailed treatment of Z pT data, and the impact on the gluon PDF in particular. We also very briefly summarize the determination of the strong coupling via an aN3LO global PDF fit, finding ?S(MZ2 ) = 0.1170 ą 0.016, and of including QED corrections in the aN3LO analysis. Finally we consider the preliminary finding associated with the effect of improved knowledge of the N3LO splitting functions on the aN3LO PDFs. In particular we note a moderate impact on the gluon distribution, i.e. within the uncertainty, and a more limited impact on the gluon-gluon luminosity unless strong rapidity cuts are imposed. Hence, we conclude that while details of our aN3LO PDFs will change with more precise splitting functions, only relatively minor effects on predictions are likely to result. UR - https://pos.sissa.it/ PB - PoS A1 - Thorne, RS A1 - Cridge, T A1 - Harland-Lang, L ER -