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Collins-Soper Kernel for TMD Evolution from Lattice QCD

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arxiv 2003.06063 v2 pith:DVVMPW73 submitted 2020-03-12 hep-lat hep-phnucl-th

Collins-Soper Kernel for TMD Evolution from Lattice QCD

classification hep-lat hep-phnucl-th
keywords kernelcollins-soperdeterminedlatticepartonscalestransverseuncertainties
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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The Collins-Soper kernel relates transverse momentum-dependent parton distribution functions (TMDPDFs) at different energy scales. For small parton transverse momentum $q_T\sim \Lambda_\text{QCD}$, this kernel is non-perturbative and can only be determined with controlled uncertainties through experiment or first-principles calculations. This work presents the first exploratory determination of the Collins-Soper kernel using the lattice formulation of Quantum Chromodynamics. In a quenched calculation, the $N_f=0$ kernel is determined at scales in the range 250 MeV $< q_T < 2$ GeV, and an analysis of the remaining systematic uncertainties is undertaken.

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Forward citations

Cited by 6 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

    hep-ph 2026-07 unverdicted novelty 7.0

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

    math-ph 2026-03 unverdicted novelty 6.0

    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.

  6. 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.