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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• Parton Fragmentation Functions