Document Type

Article

Publication Date

2023

DOI

10.1007/JHEP02(2023)114

Publication Title

Journal of High Energy Physics

Volume

2023

Issue

2

Pages

114-122

Abstract

We demonstrate that gluon transverse-momentum-dependent parton distribution functions (TMDPDFs) can be extracted from lattice calculations of appropriate Euclidean correlations in large-momentum effective theory (LaMET). Based on perturbative calculations of gluon unpolarized and helicity TMDPDFs, we present a matching formula connecting them and their LaMET counterparts, where the latter are renormalized in a scheme facilitating lattice calculations and converted to the MS ¯ scheme. The hard matching kernel is given up to one-loop level. We also show that the perturbative result is independent of the prescription used for the pinch-pole singularity in the relevant correlations. Our results offer a guidance for the extraction of gluon TMDPDFs from lattice simulations, and have the potential to greatly facilitate perturbative calculations of the hard matching kernel.

Rights

© The Authors

This article is distributed under the terms of the Creative Commons Attribution 4.0 International License (CC BY 4.0), which permits any use, distribution and reproduction in any medium, provided the original author(s) and source are credited.

Original Publication Citation

Zhu, R., Ji, Y., Zhang, J.-H., & Zhao, S. (2023). Gluon transverse-momentum-dependent distributions from large-momentum effective theory. Journal of High Energy Physics, 2023(2), 114-122. https://doi.org/10.1007/JHEP02(2023)114

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