Physics Review D
Transverse-momentum-dependent parton distribution functions and wave functions (TMDPDFs/TMDWFs) can be extracted from lattice calculations of appropriate Euclidean matrix elements of staple-shaped Wilson line operators. We investigate the mixing pattern of such operators under lattice renormalization using symmetry considerations. We perform an analysis for operators with all Dirac structures, which reveals mixings that are not present in one-loop lattice perturbation theory calculations. We also present the relevant one-loop matching in a renormalization scheme that does not introduce extra nonperturbative effects at large distances, both for the TMDPDFs and for the TMDWFs. Our results have the potential to greatly facilitate numerical calculations of TMDPDFs and TMDWFs on the lattice.
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Original Publication Citation
Ji, Y., Zhang, J.-H., Zhao, S., & Zhu, R. (2021). Renormalization and mixing of staple-shaped Wilson line operators on the lattice revisited. Physical Review D, 104(9), 1-8, Article 094510. https://doi.org/10.1103/PhysRevD.104.094510
Ji, Yao; Zhang, Jian-Hui; Zhao, Shuai; and Zhu, Ruilin, "Renormalization and Mixing of Staple-Shaped Wilson Line Operators on the Lattice Revisited" (2021). Physics Faculty Publications. 809.