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Gluon pseudo-distributions at short distances

I. Balitsky, W. Morris, A. Radyushkin

SciPost Phys. Proc. 8, 161 (2022) · published 14 July 2022

Proceedings event

28th Annual Workshop on Deep-Inelastic Scattering (DIS) and Related Subjects


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.

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