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Fragmentation contributions to transverse nucleon spin observables in semi-inclusive deep-inelastic scattering at NLO

Diego Scantamburlo* and Marc Schlegel†

  • *Contact author: diego.scantamburlo@student.uni-tuebingen.de
  • †Contact author: marc.schlegel@uni-tuebingen.de

Phys. Rev. D 113, 114036 – Published 22 June, 2026

DOI: https://doi.org/10.1103/9n3x-4xv8

Abstract

We study the spin-dependent cross section in semi-inclusive deep-inelastic lepton-nucleon collisions, ℓ+N↑→ℓ+h+X. We focus on the cross section that is integrated over the transverse momentum Ph⊥ of the detected unpolarized hadron. We analyze this cross section at large virtuality Q2 of the exchanged virtual photon within the framework of collinear twist-3 factorization in perturbative QCD. The two main transverse spin observables, the single nucleon spin asymmetry, and the double longitudinal lepton-transverse nucleon spin asymmetry, both receive contributions from chiral-odd twist-3 three-parton fragmentation functions. We study these fragmentation contributions to next-to-leading order (NLO) in perturbative QCD. We explicitly observe that collinear twist-3 factorization holds for these contributions at the one-loop level. We confront our NLO formulas with HERMES data and provide numerical predictions for EIC kinematics.

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