Barely Significant
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A stress test of global PDF fits: closure testing the MSHT PDFs and a first direct comparison to the neural net approach.

Eur Phys J C Part Fields · 2025 · PMC11920009 · PMID 40115426

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closest p
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a clear trendno p-value reported
A clear trend for an increase in the \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\chi ^2$$\end{document} χ 2 as we

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highly significantno p-value reported
With this in mind, we can see that the differences are in many cases highly significant, with the MSHT result (either with or without positivity imposed) lying several standard deviations outside the NNPDF uncertainty band in many x regions and for many PDFs.

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