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Collins-Soper Equation for the Energy Evolution of Transverse-Momentum and Spin Dependent Parton Distributions

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arxiv hep-ph/0406302 v2 pith:KNNOLHIP submitted 2004-06-27 hep-ph

Collins-Soper Equation for the Energy Evolution of Transverse-Momentum and Spin Dependent Parton Distributions

classification hep-ph
keywords spindependentdistributionsequationevolutionpartontransverse-momentumcollins
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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The hadron-energy evolution (Collins and Soper) equation for all the leading-twist transverse-momentum and spin dependent parton distributions is derived in the impact parameter space. Based on the result, we present resummation formulas for the spin structure functions in the semi-inclusive deep inelastic scattering.

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Cited by 3 Pith papers

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

  1. TMDs in the Lens of Generative AI: A Pixel-Based Approach to Partonic Imaging

    hep-ph 2026-05 unverdicted novelty 7.0

    A nonparametric pixel-based Bayesian method integrates TMD evolution with generative AI and SVD to image parton distributions and reveal null TMDs unconstrained by observables.

  2. TMDs in the Lens of Generative AI: A Pixel-Based Approach to Partonic Imaging

    hep-ph 2026-05 unverdicted novelty 7.0

    A nonparametric pixel-based Bayesian method integrates TMD evolution with generative AI sampling and SVD to extract parton distributions and identify unconstrained null components from multi-scale observables.

  3. Introduction to transverse momentum imaging

    hep-ph 2026-04 unverdicted

    The notes provide an introduction to transverse momentum dependent distributions and their use in imaging hadrons, complementing lectures at several graduate schools.