25th International Spin Symposium (SPIN 2023)

Hyperon polarization in SIDIS: Matching between TMD and twist-3 factorizations

Sep 26, 2023, 9:15 AM

15m

Meeting Room 1-2 (Durham Convention Center)

Talk 3D Structure of the Nucleon: TMDs 3D Structure of the Nucleon: TMDs

Speaker

Riku Ikarashi (Niigata University)

Description

We study the consistency between the TMD factorization and the collinear twist-3 factorization for the transversely polarized hyperon production in semi-inclusive deep inelastic scattering (SIDIS). The TMD approach covers the polarization in the small transverse momentum $P_{hT}$ region
of the hyperon, while the twist-3 approach covers that in the large $P_{hT}$ region. Since both frameworks provide systematic ways to the hyperon polarization, they should match consistently in the intermediate transverse momentum region. The cross section for the process
consists of five structure functions with different azimuthal depedences and we reported the complete LO result for the twist-3 cross sections arising from the twist-3 distribution function in the nucleon and the
twist-3 fragmentation function for the hyperon [1,2]. We show that, for all these contrubutions to five structure function, the result matches consistently with the TMD cross section, which indicates that the two approaches are the representation of the unique QCD effect in different kinematic region.

[1] Y. Koike, K. Takada, S. Usui, K. Yabe and S. Yoshida,
``Transverse polarization of hyperons produced in semi-inclusive deep inelastic scattering,''
Phys. Rev. D 105, no.5, 056021 (2022) [arXiv:2202.00338 [hep-ph]].

[2] R. Ikarashi, Y. Koike, K. Yabe and S. Yoshida,
``Twist-3 gluon fragmentation contribution to hyperon polarization in semi-inclusive deep inelastic scattering,''
Phys. Rev. D 105, no.9, 094027 (2022) [arXiv:2203.08431 [hep-ph]].