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

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.

20 pages, 5 figures

References in corpus (9)

• A Unified Picture for Single Transverse-Spin Asymmetries in Hard Processes
• Towards an explanation of transverse single-spin asymmetries in proton-proton collisions: the role of fragmentation in collinear factorization
• Single-Transverse Spin Asymmetry in Semi-Inclusive Deep Inelastic Scattering
• Isospin Symmetry of Fragmentation Functions
• Longitudinal and transverse polarizations of $\Lambda$ hyperon in unpolarized SIDIS and $e^{+}{e}^{-}$ annihilation
• Twist-3 Gluon Fragmentation Contribution to Polarized Hyperon Production in Unpolarized Proton-Proton Collision
• Transverse Polarization of Hyperons Produced in Semi-Inclusive Deep Inelastic Scattering
• On the Relation Between Mechanisms for Single-Transverse-Spin Asymmetries
• Hyperon Polarization in Unpolarized Scattering Processes