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Determination of the Collins-Soper Kernel from Lattice QCD

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arxiv 2103.16991 v3 pith:KGQIUJKE submitted 2021-03-31 hep-lat hep-ph

Maximilian Schlemmer , Alexey Vladimirov , Christian Zimmermann , Michael Engelhardt , Andreas Schäfer This is my paper · ORCID
classification hep-lathep-ph
keywords kernellatticecollins-sopermathrmagreementanalysisclovercomputed
verification ladder T0 review T1 audit T2 compute T3 formal
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abstract

We present lattice results for the non-perturbative Collins-Soper (CS) kernel, which describes the energy-dependence of transverse momentum-dependent parton distributions (TMDs). The CS kernel is extracted from the ratios of first Mellin moments of quasi-TMDs evaluated at different nucleon momenta.The analysis is done with dynamical $N_f=2+1$ clover fermions for the CLS ensemble H101 ($a=0.0854\,\mathrm{fm}$, $m_{\pi}=m_K=422\,\mathrm{MeV}$). The computed CS kernel is in good agreement with experimental extractions and previous lattice studies.

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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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