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This research applies normalizing flows, specifically invertible neural networks combined with Gaussian Process priors, to reconstruct parton distribution functions from synthetic matrix-element data in high-energy physics. The study validates that this machine learning architecture can effectively learn posterior distributions over PDFs while strictly preserving necessary physical constraints and extrapolation properties within the lattice QCD framework.
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Normalizing Flows to Reconstruct Pseudo-PDFs

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arXiv:2607.25282v1 Announce Type: cross Abstract: We investigate a normalizing-flow approach for reconstructing parton distribution functions (PDFs) from synthetic matrix-element data. Our framework combines Gaussian Process priors with invertible neural networks to learn a posterior distribution over PDFs consistent with limited Ioffe-time data. We demonstrate that the architecture preserves physical constraints and extrapolation properties.

Abstract:We investigate a normalizing-flow approach for reconstructing parton distribution functions (PDFs) from synthetic matrix-element data. Our framework combines Gaussian Process priors with invertible neural networks to learn a posterior distribution over PDFs consistent with limited Ioffe-time data. We demonstrate that the architecture preserves physical constraints and extrapolation properties.

High Energy Physics - Lattice (hep-lat); Machine Learning (cs.LG); High Energy Physics - Phenomenology (hep-ph)

arXiv:2607.25282 [hep-lat]

(or arXiv:2607.25282v1 [hep-lat] for this version)

https://doi.org/10.48550/arXiv.2607.25282 Focus to learn more arXiv-issued DOI via DataCite (pending registration)

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