Twist-3 contributions in semi-inclusive DIS in the target fragmentation region

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Abstract
We present the complete results up to twist-3 for hadron production in the target fragmentation region of semi-inclusive deep inelastic scattering with a polarized lepton beam and polarized nucleon target. The nonperturbative effects are factorized into fracture functions. The calculation up to twist-3 is nontrivial since one has to keep gauge invariance. By applying collinear expansion, we show that the hadronic tensor can be expressed by gauge-invariant fracture functions. We also present the results for the structure functions and azimuthal asymmetries.
Funding Information
  • National Natural Science Foundation of China (12075299, 11821505, 11847612, 11935017, 12005122, 11947055)
  • Chinese Academy of Sciences (XDB34000000)
  • Natural Science Foundation of Shandong Province (ZR2020QA082)
  • Chinese University of Hong Kong (UDF01001859)
  • China Postdoctoral Science Foundation (2022M723065)

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