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 \( \overline{\textrm{MS}} \) 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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Zhu, R., Ji, Y., Zhang, JH. et al. Gluon transverse-momentum-dependent distributions from large-momentum effective theory. J. High Energ. Phys. 2023, 114 (2023). https://doi.org/10.1007/JHEP02(2023)114
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DOI: https://doi.org/10.1007/JHEP02(2023)114