Journal of High Energy Physics
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.
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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
Zhu, Ruilin; Ji, Yao; Zhang, Jian-Hui; and Zhao, Shuai, "Gluon Transverse-Momentum-Dependent Distributions From Large-Momentum Effective Theory" (2023). Physics Faculty Publications. 735.