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First global QCD analysis of the TMD $\boldsymbol{g_{1T}}$ from semi-inclusive DIS data

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arxiv 2110.10253 v2 pith:V45N5Z5J submitted 2021-10-19 hep-ph hep-exhep-lat

classification hep-phhep-exhep-lat
keywords dataanalysisapproximationexperimentalfirstpolarizedsemi-inclusiveapproaches
verification ladder T0 review T1 audit T2 compute T3 formal
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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.

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