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Gluon pseudo-distributions at short distances
by I. Balitsky, W. Morris and A. Radyushkin
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Submission summary
| Authors (as registered SciPost users): | Anatoly Radyushkin |
| Submission information | |
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| Preprint Link: | scipost_202106_00006v2 (pdf) |
| Date accepted: | 2022-03-17 |
| Date submitted: | 2021-06-03 16:44 |
| Submitted by: | Radyushkin, Anatoly |
| Submitted to: | SciPost Physics Proceedings |
| Proceedings issue: | 28th Annual Workshop on Deep-Inelastic Scattering (DIS) and Related Subjects (DIS2021) |
| Ontological classification | |
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| Academic field: | Physics |
| Specialties: |
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| Approach: | Theoretical |
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.
Published as SciPost Phys. Proc. 8, 161 (2022)