Nonperturbative renormalization of staple-shaped Wilson line operators in lattice QCD
Name
PhysRevD.101.074505.pdf
Description
Published version
Size
1.8 MB
Format
Adobe PDF
Checksum (MD5)
e8ec807ef8364dc28416e76b7017d20e
Author(s)
Shanahan, Phiala
Wagman, Michael L
Zhao, Yong
Date Issued
2020
Journal
Physical Review D
Publisher
American Physical Society (APS)
Version
Final published version
Abstract
© 2020 authors. Published by the American Physical Society. Quark bilinear operators with staple-shaped Wilson lines are used to study transverse-momentum-dependent parton distribution functions (TMDPDFs) from lattice quantum chromodynamics (QCD). Here, the renormalization factors for the isovector operators, including all mixings between operators with different Dirac structures, are computed nonperturbatively in the regularization-independent momentum subtraction scheme for the first time. This study is undertaken in quenched QCD with three different lattice spacings. With Wilson flow applied to the gauge fields in the calculations, the operator mixing pattern due to chiral symmetry breaking with the lattice regularization is found to be significantly different from that predicted by one-loop lattice perturbation theory calculations. These results constitute a critical step toward the systematic extraction of TMDPDFs from lattice QCD.
MIT Department
Massachusetts Institute of Technology. Center for Theoretical Physics
Terms of Use
Creative Commons Attribution 4.0 International license
Persistent DSpace Link
DOI of Published Version
https://doi.org/10.1103/PHYSREVD.101.074505
