TY  - JOUR
PB  - SciPost Foundation
DO  - 10.21468/SciPostPhysProc.8.161
TI  - Gluon pseudo-distributions at short distances
PY  - 2022/07/14
UR  - https://www.scipost.org/SciPostPhysProc.8.161
JF  - SciPost Physics Proceedings
JA  - SciPost Phys. Proc.
VL  - 
IS  - 8
SP  - 161
A1  - Balitsky, Ian
AU  - Morris, Wayne
AU  - Radyushkin, Anatoly
AB  - 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.
ER  -

@Article{10.21468/SciPostPhysProc.8.161,
	title={{Gluon pseudo-distributions at short distances}},
	author={I. Balitsky and  W. Morris and  A. Radyushkin},
	journal={SciPost Phys. Proc.},
	pages={161},
	year={2022},
	publisher={SciPost},
	doi={10.21468/SciPostPhysProc.8.161},
	url={https://scipost.org/10.21468/SciPostPhysProc.8.161},
}