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arXiv · 2209.05443

Gluon Transverse-Momentum-Dependent Distributions from Large-Momentum Effective Theory

Ruilin Zhu·Yao Ji·Jian-Hui Zhang·Shuai Zhao
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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 $\overline{\rm MS}$ 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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Ruilin Zhu, Yao Ji, Jian-Hui Zhang, Shuai Zhao. 2022-09-12. Gluon Transverse-Momentum-Dependent Distributions from Large-Momentum Effective Theory. https://doi.org/10.1007/jhep02(2023)114

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