By applying the collinear expansion to the semi-inclusive hadron production process $e^{+}+e^{-}\to h+\overline{q}(\text{jet})+X$ at high energies, we construct a theoretical framework where leading and higher twist contributions at the leading perturbative QCD can be calculated systematically. With this framework, we calculate the contributions up to twist-3 for spin-0, spin-$1/2$, and spin-1 hadrons, respectively. We present the results for the hadronic tensors, the differential cross sections, the azimuthal asymmetries, and the polarizations of the hadrons.

• Received 3 November 2014

DOI:https://doi.org/10.1103/PhysRevD.91.034015