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We study the contribution of the twist-3 fragmentation function to thesingle-transverse spin asymmetry in semi-inclusive deep inelastic scatteringwithin the framework of the collinear factorization. Making use of theWard-Takahashi identity in QCD, we establish the formalism in the Feynman gaugeto calculate the non-pole contribution of the twist-3 fragmentation function tothe asymmetry and derive the complete cross-section formula in the leadingorder QCD perturbation theory. The obtained twist-3 hadronic tensor is shown tosatisfy the electromagnetic gauge-invariance. The behavior in the smalltransverse- momentum region for the five structure functions is also given.

Contribution of twist-3 fragmentation function to single transverse-spin asymmetry in semi-inclusive deep inelastic scattering