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

TL;DR

This paper presents the first comprehensive extraction of the TMD $g_{1T}$ function from semi-inclusive DIS data, combining measurements from multiple experiments and comparing results with theoretical models.

Contribution

It provides the first simultaneous extraction of $g_{1T}$ from all available experimental data, integrating Monte Carlo analysis and theoretical comparisons.

Findings

First extraction of $g_{1T}$ from semi-inclusive DIS data.

Comparison of $g_{1T}$ with theoretical models like large-$N_c$ and lattice QCD.

Demonstrates consistency of experimental data with theoretical predictions.

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.