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Renormalization and Mixing of Staple-Shaped Wilson Line Operators on the Lattice Revisited

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arxiv 2104.13345 v2 pith:UIJHHD33 submitted 2021-04-27 hep-ph hep-latnucl-exnucl-th

Yao Ji , Jian-Hui Zhang , Shuai Zhao , Ruilin Zhu This is my paper · ORCID
classification hep-phhep-latnucl-exnucl-th
keywords latticeoperatorscalculationsrenormalizationtmdpdfstmdwfsfunctionsline
verification ladder T0 review T1 audit T2 compute T3 formal
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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.

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  1. Quark Transverse Spin-Momentum Correlation of the Pion from Lattice QCD: The Boer-Mulders Function

    hep-lat 2024-12 conditional novelty 6.0 of 10

    The pion Boer-Mulders function is computed for the first time from lattice QCD and is found to decay with transverse separation, becoming compatible with zero around 0.5 to 0.6 fm.

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