Twist-3 Single-Spin Asymmetry for SIDIS and its Azimuthal Structure
Yuji Koike (Niigata Univ.), Kazuhiro Tanaka (Juntendo Univ.)

TL;DR
This paper derives the full twist-3 single-spin asymmetry cross section for semi-inclusive DIS, revealing five structure functions with distinct azimuthal dependences, and discusses its relation to TMD factorization.
Contribution
It provides the complete twist-3 cross section including all relevant quark-gluon correlations, extending previous work and clarifying azimuthal structures in SIDIS.
Findings
Five independent azimuthal structure functions identified
Consistent with TMD factorization in low transverse momentum region
Bridges the gap between twist-3 collinear and TMD approaches
Abstract
We derive the complete twist-3 single-spin-dependent cross section for semi-inclusive DIS, , associated with the complete set of the twist-3 quark-gluon correlation functions in the transversely polarized nucleon, extending our previous study. The cross section consists of five independent structure functions with different azimuthal dependences, consistently with the transverse-momentum-dependent (TMD) factorization approach in the low region. Correspondence with the inclusive DIS limit and comparison with the TMD approach are briefly discussed.
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