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Transverse-Momentum-Dependent Parton Distribution Functions from Large-Momentum Effective Theory

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arxiv 1911.03840 v2 pith:23GP53LR submitted 2019-11-10 hep-ph hep-exhep-latnucl-exnucl-th

Xiangdong Ji , Yizhuang Liu , Yu-Sheng Liu This is my paper · ORCID
classification hep-phhep-exhep-latnucl-exnucl-th
keywords distributiondrell-yaneffectiveeuclideanfactorizationfunctionslametlarge-momentum
verification ladder T0 review T1 audit T2 compute T3 formal
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abstract

We show that transverse-momentum-dependent parton distribution functions (TMDPDFs), important non-perturbative quantities for describing the properties of hadrons in high-energy scattering processes such as Drell-Yan and semi-inclusive deep-inelastic scattering with observed small transverse momentum, can be obtained from Euclidean QCD calculations in the framework of large-momentum effective theory (LaMET). We present a LaMET factorization of the Euclidean quasi-TMDPDFs in terms of the physical TMDPDFs and off-light-cone soft function at leading order in $1/P^z$ expansion, with the perturbative matching coefficient satisfying a renormalization group equation. We also discuss the implementation in lattice QCD with finite-length gauge links as well as the rapidity-regularization-independent factorization for Drell-Yan cross section.

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Cited by 5 Pith papers

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  1. First constraints on the nonperturbative gluon Collins-Soper kernel

    hep-lat 2026-07 conditional novelty 7.0 of 10

    First lattice-QCD constraints on the nonperturbative gluon Collins-Soper kernel are obtained at near-physical pion mass with uNNLL LaMET matching on a single a=0.15 fm ensemble.

  2. Resummation for Lattice QCD Calculation of Generalized Parton Distributions at Nonzero Skewness

    hep-ph 2025-01 conditional novelty 7.0 of 10

    A threshold factorization and resummation scheme for quasi-GPD matching in LaMET is derived and shown to be self-consistent on a GPD model.

  3. Multivariable Painleve'-II equation: connection formulas for asymptotic solutions

    math-ph 2026-03 unverdicted novelty 6.0 of 10

    Asymptotically exact WKB connection formulas for a multivariable Painlevé-II system are obtained via the Demkov–Osherov model and used to scale excitations in vacuum decay.

  4. 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.

  5. 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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