Complete $N_f^2$ contributions to four-loop pure-singlet splitting functions
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arXiv
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| Hauptverfasser: | , , , |
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| Format: | Preprint |
| Veröffentlicht: |
2023
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| _version_ | 1866912135360020480 |
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| author | Gehrmann, Thomas von Manteuffel, Andreas Sotnikov, Vasily Yang, Tong-Zhi |
| author_facet | Gehrmann, Thomas von Manteuffel, Andreas Sotnikov, Vasily Yang, Tong-Zhi |
| contents | The scale evolution of parton distributions is determined by universal splitting functions. As a milestone towards the computation of these functions to four-loop order in QCD, we compute all contributions to the pure-singlet quark-quark splitting functions that involve two closed fermion loops. The splitting functions are extracted from the pole terms of off-shell operator matrix elements, and the workflow for their calculation is outlined. We reproduce known results for the non-singlet four-loop splitting functions and validate our new pure-singlet results against fixed Mellin moments. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2308_07958 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Complete $N_f^2$ contributions to four-loop pure-singlet splitting functions Gehrmann, Thomas von Manteuffel, Andreas Sotnikov, Vasily Yang, Tong-Zhi High Energy Physics - Phenomenology High Energy Physics - Theory Nuclear Theory The scale evolution of parton distributions is determined by universal splitting functions. As a milestone towards the computation of these functions to four-loop order in QCD, we compute all contributions to the pure-singlet quark-quark splitting functions that involve two closed fermion loops. The splitting functions are extracted from the pole terms of off-shell operator matrix elements, and the workflow for their calculation is outlined. We reproduce known results for the non-singlet four-loop splitting functions and validate our new pure-singlet results against fixed Mellin moments. |
| title | Complete $N_f^2$ contributions to four-loop pure-singlet splitting functions |
| topic | High Energy Physics - Phenomenology High Energy Physics - Theory Nuclear Theory |
| url | https://arxiv.org/abs/2308.07958 |