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Nonperturbative renormalization of staple-shaped Wilson line operators in lattice QCD

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arxiv 1911.00800 v3 pith:WYRLOZGA submitted 2019-11-03 hep-lat hep-phnucl-th

Phiala Shanahan , Michael L. Wagman , Yong Zhao This is my paper · ORCID
classification hep-lathep-phnucl-th
keywords latticeoperatorsdifferentwilsoncalculationsrenormalizationstaple-shapedtmdpdfs
verification ladder T0 review T1 audit T2 compute T3 formal
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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 towards the systematic extraction of TMDPDFs from lattice QCD.

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Cited by 4 Pith papers

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  1. High precision heavy-boson-jet substructure with energy correlators

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    The EEC peak in boosted Z jets is the Sudakov back-to-back region of the Z-pole EEC seen through a Lorentz boost, determined by one Lorentz-invariant shape function and computable at N3LL'.

  2. Emergence, Formation and Dynamics of Hot QCD Matter

    hep-ph 2024-12 conditional novelty 7.0 of 10

    A doctoral thesis deriving the QCD correlation functions that control quarkonium dissociation and recombination in the quark-gluon plasma, and showing that hydrodynamization in a simplified QCD kinetic theory matches ...

  3. 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.

  4. Mapping Parton Distributions of Hadrons with Lattice QCD

    hep-lat 2025-06 accept

    A review of lattice QCD methods and results for x-dependent parton distribution functions and generalized parton distributions of hadrons.

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