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Abstract
We study one-loop contributions to semi-inclusive deep inelastic scattering in the target fragmentation region for a polarized lepton beam and nucleon target. Complete one-loop results at leading twist are derived, with a particular focus on the gluonic channel. It shows that four structure functions are generated uniquely by the gluon fracture functions starting at one-loop. Additionally, we obtain two structure functions associated with the longitudinal polarization of the virtual photon, and they are contributed by both gluon and quark channels. By combining existing twist-3 results, all eighteen structure functions for the studied process are predicted in terms of fracture functions convoluted with perturbative coefficient functions.
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1 School of Science, Shandong Jianzhu University, Jinan, China (GRID:grid.440623.7) (ISNI:0000 0001 0304 7531)
2 Chinese Academy of Sciences, CAS Key Laboratory of Theoretical Physics, Institute of Theoretical Physics, Beijing, China (GRID:grid.9227.e) (ISNI:0000000119573309); School of Physical Sciences, University of Chinese Academy of Sciences, Beijing, China (GRID:grid.410726.6) (ISNI:0000 0004 1797 8419); School of Physics and Center for High-Energy Physics, Peking University, Beijing, China (GRID:grid.11135.37) (ISNI:0000 0001 2256 9319)
3 Department of Physics, University of Jyväskylä, Jyväskylä, Finland (GRID:grid.9681.6) (ISNI:0000 0001 1013 7965); Helsinki Institute of Physics, Helsinki, Finland (GRID:grid.470106.4) (ISNI:0000 0001 1106 2387)