First global QCD analysis of the TMD <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:msub><mml:mi>g</mml:mi><mml:mrow><mml:mn>1</mml:mn><mml:mi>T</mml:mi></mml:mrow></mml:msub></mml:math> from semi-inclusive DIS data
Shohini Bhattacharya, Zhong-Bo Kang, Andreas Metz, Gregory Douglas Penn, Daniel Pitonyak
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.