Single-valued representation of unpolarized and polarized semi-inclusive deep inelastic scattering at next-to-next-to-leading order
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arXiv
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| Hauptverfasser: | , |
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| Format: | Preprint |
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2025
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| _version_ | 1866915691950505984 |
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| author | Haug, Juliane Wunder, Fabian |
| author_facet | Haug, Juliane Wunder, Fabian |
| contents | We revisit the recently published analytic results for unpolarized and polarized semi-inclusive deep inelastic scattering (SIDIS) at next-to-next-to-leading order (NNLO) in QCD. These expressions for the hard scattering coefficients contain case distinctions in the kinematic $(x,z)$ plane splitting the analytic result in four regions. By re-expressing the coefficient functions in terms of single-valued polylogarithms we remove these case distinctions and can present a unified result valid in the entire kinematic range of SIDIS. This reduces the length of the overall expressions by 30% to 60%. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2505_18109 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Single-valued representation of unpolarized and polarized semi-inclusive deep inelastic scattering at next-to-next-to-leading order Haug, Juliane Wunder, Fabian High Energy Physics - Phenomenology High Energy Physics - Theory We revisit the recently published analytic results for unpolarized and polarized semi-inclusive deep inelastic scattering (SIDIS) at next-to-next-to-leading order (NNLO) in QCD. These expressions for the hard scattering coefficients contain case distinctions in the kinematic $(x,z)$ plane splitting the analytic result in four regions. By re-expressing the coefficient functions in terms of single-valued polylogarithms we remove these case distinctions and can present a unified result valid in the entire kinematic range of SIDIS. This reduces the length of the overall expressions by 30% to 60%. |
| title | Single-valued representation of unpolarized and polarized semi-inclusive deep inelastic scattering at next-to-next-to-leading order |
| topic | High Energy Physics - Phenomenology High Energy Physics - Theory |
| url | https://arxiv.org/abs/2505.18109 |