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Matching between collinear twist-3 and TMD fragmentation function contributions to polarized hyperon production in SIDIS

Riku Ikarashi1, Yuji Koike2, and Shinsuke Yoshida3,4

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Phys. Rev. D 113, 074033 – Published 29 April, 2026

DOI: https://doi.org/10.1103/vmn1-cdl9

Abstract

We investigate the consistency between the collinear twist-3 factorization and the transverse-momentum-dependent (TMD) factorization for the transversely polarized hyperon production in semi-inclusive deep inelastic scattering, ep→eΛ↑X. In particular, we focus on the contributions from the twist-3 fragmentation functions (FFs) and the TMD polarizing FF in the region of the hyperon’s intermediate transverse momentum PT, ΛQCD≪PT≪Q, where both frameworks are valid. In this region the polarizing FF can be expressed in terms of the twist-3 FFs including the purely gluonic ones, and the resulting TMD factorization formula in the Ji-Ma-Yuan scheme for ep→eΛ↑X agrees with the small-PT limit of the corresponding twist-3 cross section. This matching of the two calculations indicates that the two frameworks describe the same effect in quantum chromodynamics (QCD) and provide complementary frameworks for the process in different kinematic regions.

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Phys. Rev. D 113, 074033– Published 29 April, 2026
  • Received 17 December 2025
  • Accepted 10 April 2026
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Published by the American Physical Society under the terms of the Creative Commons Attribution 4.0 International license. Further distribution of this work must maintain attribution to the author(s) and the published article’s title, journal citation, and DOI. Funded by SCOAP3.

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