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Universality of the Collins-Soper kernel in lattice calculations

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arxiv 2302.06502 v2 pith:5IUNTBAM submitted 2023-02-13 hep-lat hep-phnucl-th

Hai-Tao Shu , Maximilian Schlemmer , Tobias Sizmann , Alexey Vladimirov , Lisa Walter , Michael Engelhardt , Andreas Schäfer , Yi-Bo Yang This is my paper · ORCID
classification hep-lathep-phnucl-th
keywords kernellatticecalculationscollins-soperconsistencyfunctionsuniversalityanalyses
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abstract

The Collins-Soper (CS) kernel is a nonperturbative function that characterizes the rapidity evolution of transverse-momentum-dependent parton distribution functions (TMDPDFs) and wave functions. In this Letter, we calculate the CS kernel for pion and proton targets and for quasi-TMDPDFs of leading and next-to-leading power. The calculations are carried out on the CLS ensemble H101 with dynamical $N_f=2+1$ clover-improved Wilson fermions. Our analyses demonstrate the consistency of different lattice extractions of the CS kernel for mesons and baryons, as well as for twist-two and twist-three operators, even though lattice artifacts could be significant. This consistency corroborates the universality of the lattice-determined CS kernel and suggests that a high-precision determination of it is in reach.

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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. 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. 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.

  3. Assessing the sensitivity of Energy-Energy Correlations in $e^+e^-$ annihilation to TMD dynamics

    hep-ph 2025-07 conditional novelty 6.0 of 10

    At N4LL accuracy, a global fit to all available e+e- energy-energy correlation data shows the data are insensitive to the Collins-Soper kernel and alpha_s, contradicting a recent extraction claim.

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