We study the consistency between the transverse momentum dependent (TMD) factorization and the collinear twist-3 factorization for the transversely polarized hyperon production in semi-inclusive deep inelastic scattering (SIDIS). The TMD approach describes the polarization in the small region of the hyperon's transverse momentum PhT, while the twist-3 approach covers that in the large PhT region. In the intermediate region of PhT where both frameworks are valid, they should match consistently. This has been confirmed for the contributions from the Boer-Mulders function and the twist-3 distribution function. Using the recently obtained complete leading-order cross section for the twist-3 fragmentation function contribution to ep→ eΛ^↑ X, we show that it also matches consistently with the polarizing fragmentation function contribution to this process. This supports the idea that the two frameworks represent a unique QCD effect for the polarization in different kinematic regions.
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Ikarashi et al. (2024) studied this question.
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