Are there approximate relations among transverse momentum dependent distribution functions?

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}^{\perp(1)a}(x) to h_L^a(x), and discuss how it can be further tested by future CLAS and COMPASS data.

9 pages, 3 figures

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Cited by in corpus (36)

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• Measurement of Single and Double Spin Asymmetries in Deep Inelastic Pion Electroproduction with a Longitudinally Polarized Target
• Azimuthal spin asymmetries in light-cone constituent quark models
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• Semi-Inclusive Deep Inelastic Scattering in Wandzura-Wilczek-type approximation
• Exploring the structure of the proton through polarization observables in l p \to jet X
• The relation between TMDs and PDFs in the covariant parton model approach
• Lorentz invariance relations between parton distributions and the Wandzura-Wilczek approximation
• The twist-three distribution $e^q(x,k_{\perp })$ in a light-front model
• Transverse structure of proton in a light-front quark-diquark model
• Transverse pion structure beyond leading twist in constituent models
• Azimuthal asymmetries of charged hadrons produced by high-energy muons scattered off longitudinally polarised deuterons
• Longitudinal-transverse double-spin asymmetries in single-inclusive leptoproduction of hadrons
• Structure of the nucleon at leading and subleading twist in the covariant parton model
• Insights on non-perturbative aspects of TMDs from models
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• Transverse spin asymmetries for W-production in proton-proton collisions
• Drell-Yan double-spin asymmetry A_{LT} in polarized p\bar{p} collisions: Wandzura-Wilczek contribution
• Azimuthal asymmetries of charged hadrons produced in high-energy muon scattering off longitudinally polarised deuterons
• First global QCD analysis of the TMD ${\mathbf{g}}_{1\mathbf{T}}$ from semi-inclusive DIS data
• Azimuthal asymmetries in single polarized proton-proton Drell-Yan processes
• Lorentz invariance relations and Wandzura-Wilczek approximation
• Sivers and Collins Single Spin Asymmetries
• Spin Orbit Correlations and the Structure of the Nucleon
• The $\sin 2{\varphi }_h$ azimuthal asymmetry of pion production in SIDIS within TMD factorization
• Baryon octet distribution amplitudes in Wandzura-Wilczek approximation
• The polarized TMDs in the covariant parton model approach
• The cos${\varphi }_R$ asymmetry of dihadron production in double longitudinally polarized SIDIS
• Quark-model relations among TMDs in the parton model
• Parton model description of quark and antiquark correlators and TMDs
• Recent developments in nucleon spin structure with focus on h_{1L}^{\perp} and pretzelosity h_{1T}^\perp