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.
8 pages, version published in Phys. Rev. D
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- Nonperturbative Determination of Collins-Soper Kernel from Quasi Transverse-Momentum Dependent Wave Functions
- Renormalization of transverse-momentum-dependent parton distribution on the lattice
- Gluon Transverse-Momentum-Dependent Distributions from Large-Momentum Effective Theory
- Counting linearly polarized gluons with lattice QCD