Study of the worm-gear-T function g1T with semi-inclusive DIS data

The worm-gear-T function parametrizes the probability of finding a longitudinally polarized quark inside a transversely polarized hadron. We extract it from data on polarized semi-inclusive deep-inelastic scattering measured at COMPASS , HERMES. As a theoretical model, we use a Wandzura-Wilczek-type approximation at next-to-leading order. We find that at present, the data quality is insufficient to determine the worm-gear-T function faithfully. We also provide predictions for the transverse single-spin asymmetry associated with the worm-gear-T function, which could be measured in weak-boson production at STAR.

Automated summary

The worm-gear-T function is used to parameterize the likelihood of finding a longitudinally polarized quark in a transversely polarized hadron. It is extracted from data collected in polarized semi-inclusive deep-inelastic scattering experiments at COMPASS and HERMES. The study employs a theoretical model based on the Wandzura-Wilczek approximation to investigate this function at next-to-leading order. However, the current data quality is deemed insufficient for an accurate determination of the worm-gear-T function. The study also provides predictions for the transverse single-spin asymmetry associated with this function, which could be measured in weak-boson production at STAR.