The four-loop non-singlet splitting functions in QCD
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arXiv
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| Hauptverfasser: | , , , |
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| Format: | Preprint |
| Veröffentlicht: |
2026
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| _version_ | 1866911620928634880 |
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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 governed by splitting functions. We compute the four-loop splitting functions in perturbative QCD that control the evolution of quark non-singlet distributions. We confirm previous partial results and obtain, for the first time, fully analytic expressions for all non-singlet contributions at this order. These allow us to extract the analytic form of the four-loop virtual and rapidity anomalous dimensions entering logarithmic resummation. We provide precise numerical representations of the splitting functions suitable for parton evolution. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2604_09534 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | The four-loop non-singlet splitting functions in QCD Gehrmann, Thomas von Manteuffel, Andreas Sotnikov, Vasily Yang, Tong-Zhi High Energy Physics - Phenomenology High Energy Physics - Theory The scale evolution of parton distributions is governed by splitting functions. We compute the four-loop splitting functions in perturbative QCD that control the evolution of quark non-singlet distributions. We confirm previous partial results and obtain, for the first time, fully analytic expressions for all non-singlet contributions at this order. These allow us to extract the analytic form of the four-loop virtual and rapidity anomalous dimensions entering logarithmic resummation. We provide precise numerical representations of the splitting functions suitable for parton evolution. |
| title | The four-loop non-singlet splitting functions in QCD |
| topic | High Energy Physics - Phenomenology High Energy Physics - Theory |
| url | https://arxiv.org/abs/2604.09534 |