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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
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
Academic field: Physics
Specialties:
  • High-Energy Physics - Phenomenology
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)


Reports on this Submission

Anonymous Report 1 on 2022-3-4 (Invited Report)

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The manuscript is well-written and is certainly worth publishing.

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