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DOE OSTI · 1876237

Gluon pseudo-distributions at short distances

Balitsky, Ian·Morris, Wayne·Radyushkin, Anatoly
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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 z 2 → 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) 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.

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Balitsky, Ian, Morris, Wayne, Radyushkin, Anatoly. 2022-07-14. Gluon pseudo-distributions at short distances. https://doi.org/10.21468/scipostphysproc.8.161

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