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TMD Soft Function from Large-Momentum Effective Theory

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arxiv 1910.11415 v3 pith:YQAAWDJE submitted 2019-10-24 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 functionsoftcoloreffectivefactorformformulationslarge-momentum
verification ladder T0 review T1 audit T2 compute T3 formal
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We study Euclidean formulations of the transverse-momentum-dependent (TMD) soft function, which is a cross section for soft gluon radiations involving color charges moving in two conjugate lightcone directions in quantum chromodynamics. We show it is related to a special form factor of a pair of color sources traveling with nearly-lightlike velocities, which can be matched to TMD physical observables in semi-inclusive deep-inelastic scattering and Drell-Yan process in the framework of large momentum effective theory. It can also be extracted by combining a large-momentum form factor of light meson and its leading TMD wave function. These formulations are useful for initiating nonperturbative calculations of this useful quantity.

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Cited by 3 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Measurement of the TMD soft function on the lattice using the auxiliary field representation of the Wilson line

    hep-lat 2024-12 conditional novelty 7.0 of 10

    Complex Euclidean Wilson line directions map to space-like rapidity, giving a one-loop match to the Collins soft function and a promising lattice ratio, though the numerical ratio is not yet physical.

  2. 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.

  3. 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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