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Gluon pseudo-distributions at short distances
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abstract
We present the results that are necessary in the ongoing lattice calculations of the gluon parton distribution functions (PDFs) within the pseudo-PDF approach. We identify the two-gluon correlator functions that contain the invariant amplitude determining the gluon PDF in the light-cone $z^2 \to 0$ limit, and perform one-loop calculations in the coordinate representation in an explicitly gauge-invariant form. Ultraviolet (UV) terms, which contain $\ln (-z^2)$-dependence cancel in the reduced Ioffe-time distribution (ITD), and we obtain the matching relation between the reduced ITD and the light-cone ITD. Using a kernel form, we get a direct connection between lattice data for the reduced ITD and the normalized gluon PDF.
Forward citations
Cited by 2 Pith papers
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Decoding the proton's gluonic density with lattice QCD-informed machine learning
A variational autoencoder inverse mapper extracts the proton's gluon PDF from lattice QCD pseudo-Ioffe-time distributions, yielding results consistent with global fits.
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Parton distribution functions from lattice QCD
A review of lattice-QCD approaches to parton distribution functions concludes that the field is moving from feasibility studies to quantitatively controlled calculations.
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