Study of worm-gear-T function $g_{1T}$ with semi-inclusive DIS data

TL;DR

This paper investigates the worm-gear-T function, which describes the probability of finding a polarized quark inside a polarized hadron, using semi-inclusive DIS data, and provides predictions for related asymmetries in future experiments.

Contribution

It applies a Wandzura-Wilczek-type approximation at NLO to extract the worm-gear-T function from SIDIS data and offers predictions for asymmetries in weak-boson production.

Findings

Current data quality is insufficient to accurately determine the worm-gear-T function.

Provides theoretical predictions for transverse single-spin asymmetry in weak-boson production.

Highlights the need for improved data to better constrain the worm-gear-T function.

Abstract

The worm-gear-T function parameterizes the probability to find a longitudinally polarized quark inside a transversely polarized hadron. We extract it from data on polarized semi-inclusive deep-inelastic scattering (SIDIS) measured at COMPASS and HERMES. As a theoretical model, we use a Wandzura-Wilczek-type approximation at the 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.