Document Type

Article

Publication Date

2021

DOI

10.1103/PhysRevD.104.094510

Publication Title

Physics Review D

Volume

104

Issue

9

Pages

094510 (1-8)

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.

Rights

Published by the American Physical Society under the terms of the Creative Commons Attribution 4.0 International (CC BY 4.0) License. Further distribution of this work must maintain attribution to the author(s) and the published article’s title, journal citation, and DOI. Funded by SCOAP3.

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

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