Extraction of the distribution function $h_{1T}^{\perp }$ from experimental data

Abstract

We attempt an extraction of the pretzelosity distribution ($h_{1T}^{\perp }$) from preliminary COMPASS, HERMES, and JLAB experimental data on $\sin (3{\varphi }_h-{\varphi }_S)$ asymmetry on proton, and effective deuteron and neutron targets. The resulting distributions, albeit with big errors, for the first time show tendency for up-quark pretzelosity to be positive and down-quark pretzelosity to be negative. A model relation of pretzelosity distribution and orbital angular momentum of quarks is used to estimate contributions of up and down quarks.

17 pages, 9 figures, discussion of results is improved, version published in Physical Review D

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• Semi-Inclusive Deep Inelastic Scattering in Wandzura-Wilczek-type approximation
• Twist-2 matching of transverse momentum dependent distributions
• Transverse structure of proton in a light-front quark-diquark model
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• Structure of the nucleon at leading and subleading twist in the covariant parton model
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• Hadron mass corrections in semi-inclusive deep-inelastic scattering
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• Weighted $\sin \left(3{\varphi }_h-{\varphi }_S\right)$ asymmetry from pretzelosity in SIDIS at electron ion colliders
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• Boer-Mulders function of the pion and pretzelosity distribution of the proton in the polarized pion-proton Drell-Yan process at COMPASS
• SIDIS transverse spin azimuthal asymmetries at COMPASS: Multidimensional analysis