Are there approximate relations among transverse momentum dependent distribution functions?

2007/09/20 by H. Avakian, A. V. Efremov, K. Goeke +4 · 2 citations
Mathematics · Physics and Astronomy · #Basis (linear algebra) #Classical mechanics #Distribution (mathematics) #Distribution function #Geometry #High-Energy Particle Collisions Research #Mathematical analysis #Mathematical physics #Mathematics #Momentum (technical analysis) #Particle physics #Particle physics theoretical and experimental studies #Parton #Physics #Quantum Chromodynamics and Particle Interactions #Quantum chromodynamics #Quantum mechanics #Statistical physics #Transverse plane #Twist #hep-ph

paper · pdf · doi:10.1103/physrevd.77.014023

published as Phys.Rev.D77:014023,2008 · 9 pages, 3 figures

arxiv created 2007/09/20 · openalex publication_date 2008/01/24 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

Certain exact relations among transverse momentum dependent parton distribution functions due to QCD equations of motion turn into approximate ones upon the neglect of pure twist-3 terms. On the basis of available data from HERMES, we test the practical usefulness of one such ``Wandzura-Wilczek-type approximation,'' namely, of that connecting h_1L^\ensuremath⊥(1)a(x) to h_L^a(x), and discuss how it can be further tested by future CLAS and COMPASS data.

Citations

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• Single-transverse-spin asymmetries: From deep inelastic scattering to hadronic collisions
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Cited by

• The twist-three distribution e(x,k⊥) in a light-front model
• Transverse momentum dependent distribution functionh1T⊥and the single spin asymmetryAUTsin(3ϕ−3S)