Twist-3 Gluon Fragmentation Contribution to Hyperon Polarization in Semi-Inclusive Deep Inelastic Scattering

TL;DR

This paper derives the leading-order contribution of twist-3 gluon fragmentation functions to transversely polarized hyperon production in semi-inclusive deep inelastic scattering, completing the theoretical framework for analyzing hyperon polarization at high transverse momentum.

Contribution

It introduces the first derivation of the twist-3 gluon fragmentation function contribution to hyperon polarization in SIDIS at leading order, completing the LO cross section with known twist-3 effects.

Findings

Derived the twist-3 gluon FF contribution to hyperon polarization.

Completed the LO cross section including all twist-3 effects.

Relevant for future Electron-Ion-Collider experiments.

Abstract

We derive the twist-3 gluon fragmentation function (FF) contribution to the transversely polarized hyperon production in semi-inclusive deep inelastic scattering, $ep\to e\Lambda^\uparrow X$, in the leading order (LO) with respect to the QCD coupling in the framework of the collinear twist-3 factorization. Together with the known result for the contribution from the twist-3 distribution in the proton and the twist-3 quark FFs for the hyperon, this completes the LO cross section for this process. The constraint relations among the twist-3 FFs are taken into account. The formula is relevant to large-$P_T$ hyperon production in the future Electron-Ion-Collider experiment.