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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Acknowledgments
The work is supported by National Natural Science Foundation of People’s Republic of China Grants No. 12075299, No. 11821505, No. 11935017 and by the Strategic Priority Research Program of Chinese Academy of Sciences, Grant No. XDB34000000. K. B. Chen is supported by National Natural Science Foundation of China (Nos. 12005122, 11947055), Shandong Province Natural Science Foundation (No. ZR2020QA082), and Youth Innovation Team Program of Higher Education Institutions in Shandong Province (Grant No. 2023KJ126). X. B. Tong is supported by the Research Council of Finland, the Centre of Excellence in Quark Matter and under the European Union’s Horizon 2020 research and innovation programme by the European Research Council (ERC, grant agreement No. ERC-2018-ADG-835105 YoctoLHC) and by the STRONG-2020 project (grant agreement No. 824093). The content of this article does not reflect the official opinion of the European Union and responsibility for the information and views expressed therein lies entirely with the authors.
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Chen, KB., Ma, JP. & Tong, XB. Gluonic contributions to semi-inclusive DIS in the target fragmentation region. J. High Energ. Phys. 2024, 298 (2024). https://doi.org/10.1007/JHEP05(2024)298
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DOI: https://doi.org/10.1007/JHEP05(2024)298