First global QCD analysis of the TMD ${\mathbf{g}}_{1\mathbf{T}}$ from semi-inclusive DIS data

Abstract

The worm-gear transverse momentum dependent (TMD) function $g_{1T}$ is one of the eight leading-twist TMDs and has the probabilistic interpretation of finding a longitudinally polarized quark inside a transversely polarized hadron. In this work, we present the first simultaneous extraction of $g_{1T}$ from all the available experimental measurements. The study involves the analysis of COMPASS, HERMES, and Jefferson Lab data on semi-inclusive deep-inelastic scattering using Monte Carlo techniques. We also compare $g_{1T}$ obtained from this experimental data with different theoretical approaches, such as the large-$N_c$ approximation, the Wandzura-Wilczek-type approximation, and lattice QCD.

Version accepted for PRD: Minor additions to the text; Expanded Appendix (Appendix A) with an additional figure; Updated References; 19 pages, 18 figures

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Cited by in corpus (8)

• Probing Transverse Momentum Dependent Structures with Azimuthal Dependence of Energy Correlators
• Sivers, Boer-Mulders and worm-gear distributions at next-to-leading order
• Study of worm-gear-T function $g_{1T}$ with semi-inclusive DIS data
• First Extraction of Transverse Momentum Dependent Helicity Distributions
• Polarized fragmenting jet functions in Inclusive and Exclusive Jet Production
• On the odderon mechanism for transverse single spin asymmetry in the Wandzura-Wilczek approximation
• Extraction of the Sivers function with deep neural networks
• Quark-model relations among TMDs in the parton model