Renormalization and Mixing of Staple-Shaped Wilson Line Operators on the Lattice Revisited
arXiv:2104.13345 · doi:10.1103/PhysRevD.104.094510
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 non-perturbative 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.
arXiv comment8 pages, version published in Phys. Rev. D
References in corpus (47)
- Parton Physics on Euclidean Lattice
- QCD Factorization for Semi-Inclusive Deep-Inelastic Scattering at Low Transverse Momentum
- Quasi-PDFs, momentum distributions and pseudo-PDFs
- Large-Momentum Effective Theory
- Extraction of partonic transverse momentum distributions from semi-inclusive deep-inelastic scattering, Drell-Yan and Z-boson production
- A complete non-perturbative renormalization prescription for quasi-PDFs
- Parton distributions and lattice QCD calculations: toward 3D structure
- Analysis of vector boson production within TMD factorization
- Perturbative Renormalization of quasi-PDFs
- On the Renormalizability of Quasi Parton Distribution Functions
- Renormalization in Large Momentum Effective Theory of Parton Physics
- Transverse-momentum-dependent parton distributions up to NLL from Drell-Yan data
- Exploring quark transverse momentum distributions with lattice QCD
- Non-perturbative structure of semi-inclusive deep-inelastic and Drell-Yan scattering at small transverse momentum
- Nonperturbative renormalization of nonlocal quark bilinears for quasi-PDFs on the lattice using an auxiliary field
- Parton Distribution Function with Non-perturbative Renormalization from Lattice QCD
- Sivers and Boer-Mulders observables from lattice QCD
- Improved quasi parton distribution through Wilson line renormalization
- Extraction of unpolarized quark transverse momentum dependent parton distributions from Drell-Yan/Z-boson production
- Determining the Nonperturbative Collins-Soper Kernel From Lattice QCD
- Collins-Soper Kernel for TMD Evolution from Lattice QCD
- Matching the Quasi Parton Distribution in a Momentum Subtraction Scheme
- Soft Factor Subtraction and Transverse Momentum Dependent Parton Distributions on Lattice
- Power corrections and renormalons in parton quasi-distributions
- Lattice-QCD Calculations of TMD Soft Function Through Large-Momentum Effective Theory
- Towards Quasi-Transverse Momentum Dependent PDFs Computable on the Lattice
- A Hybrid Renormalization Scheme for Quasi Light-Front Correlations in Large-Momentum Effective Theory
- Intrinsic quark transverse momentum in the nucleon from lattice QCD
- Accessing gluon parton distributions in large momentum effective theory
- TMD Soft Function from Large-Momentum Effective Theory
- Transverse-Momentum-Dependent Parton Distribution Functions from Large-Momentum Effective Theory
- Nucleon Transverse Momentum-dependent Parton Distributions in Lattice QCD: Renormalization Patterns and Discretization Effects
- Transverse Momentum Dependent Quasi-Parton-Distributions
- Determination of the Collins-Soper Kernel from Lattice QCD
- Self-Renormalization of Quasi-Light-Front Correlators on the Lattice
- Lattice QCD study of the Boer-Mulders effect in a pion
- Complete Matching for Quasi-distribution Functions in Large Momentum Effective Theory
- Transverse momentum dependent factorization for lattice observables
- Nonperturbative renormalization of staple-shaped Wilson line operators in lattice QCD
- Extraction of Next-to-Next-to-Leading-Order PDFs from Lattice QCD Calculations
- Next-to-next-to-leading order corrections to quark Quasi parton distribution functions
- Improvement, generalization, and scheme conversion of Wilson-line operators on the lattice in the auxiliary field approach
- One-loop renormalization of staple-shaped operators in continuum and lattice regularizations
- Renormalization and Matching for the Collins-Soper Kernel from Lattice QCD
- Single Transverse-Spin Asymmetry and Sivers Function in Large Momentum Effective Theory
- One-loop Matching for Spin-Dependent Quasi-TMDs
- QCD factorization for twist-three axial-vector parton quasidistributions
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- Counting linearly polarized gluons with lattice QCD