Publications
Publication Information
Title | Renormalization and Mixing of Staple-Shaped Wilson Line Operators on the Lattice Revisited |
Authors | Yao Ji, Jian-Hui Zhang, Shuai Zhao, Rui-Lin Zhu |
JLAB number | JLAB-THY-21-3341 |
LANL number | arXiv:2104.13345 |
Other number | DOE/OR/23177-5159; SI-HEP-2021-10 |
Document Type(s) | (Journal Article) |
Associated with EIC: | No |
Supported by Jefferson Lab LDRD Funding: | No |
Funding Source: | Nuclear Physics (NP) |
Journal Compiled for Physical Review D Volume 104 Page(s) 094510 | |
Publication Abstract: | 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. |
Experiment Numbers: | other |
Group: | THEORY CENTER |
Document: | |
DOI: | https://doi.org/10.1103/PhysRevD.104.094510 |
Accepted Manuscript: | PhysRevD.104.094510.pdf |
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