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Determination of the Collins-Soper kernel from Lattice QCD

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arxiv 2402.06725 v1 pith:VFLZVBPB submitted 2024-02-09 hep-lat hep-phnucl-th

Determination of the Collins-Soper kernel from Lattice QCD

classification hep-lat hep-phnucl-th
keywords collins-soperdeterminationkernellatticedistributionsparameterizationsquarktmds
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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This work presents a determination of the quark Collins-Soper kernel, which relates transverse-momentum-dependent parton distributions (TMDs) at different rapidity scales, using lattice quantum chromodynamics (QCD). This is the first such determination with systematic control of quark mass, operator mixing, and discretization effects. Next-to-next-to-leading logarithmic matching is used to match lattice-calculable distributions to the corresponding TMDs. The continuum-extrapolated lattice QCD results are consistent with several recent phenomenological parameterizations of the Collins-Soper kernel and are precise enough to disfavor other parameterizations.

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Forward citations

Cited by 7 Pith papers

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

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

    hep-lat 2026-07 conditional novelty 7.0

    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. Event-axis TMD measurements in $e^+e^-$ and SIDIS

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    Completes soft-operator formulation for thrust-axis TMD in e+e- and SIDIS, proposes nonperturbative model with event-shape dependence, resums logs, and validates against Pythia8.3 simulations.

  3. The Collins-Soper kernel from a vacuum soft function

    hep-lat 2026-06 unverdicted novelty 7.0

    The Collins-Soper kernel is extracted from lattice computations of a vacuum soft function, showing rapidity dependence consistent with Collins-Soper evolution, comparable errors to hadronic methods, and saturation at ...

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

    hep-ph 2026-01 conditional novelty 7.0

    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'.

  5. AI-assisted modeling and Bayesian inference of unpolarized quark transverse momentum distributions from Drell-Yan data

    hep-ph 2026-04 unverdicted novelty 6.0

    An AI-assisted Bayesian framework extracts TMD PDFs from global Drell-Yan data using surrogate models for scalable MCMC sampling.

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

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    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.

  7. Energy Correlators Resolving Proton Spin

    hep-ph 2025-09 unverdicted novelty 5.0

    The work establishes a correspondence between spin-dependent energy correlators and polarized TMDs/NECs using SCET, yielding N3LL/N2LL predictions for correlation patterns in current and target fragmentation regions.