The $N_f \,C_F^3$ contribution to the non-singlet splitting function at four-loop order
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arXiv
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| Main Authors: | , , , |
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| Format: | Preprint |
| Published: |
2023
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| _version_ | 1866912135399866368 |
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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 | We report a new result for the $N_f \,C_F^3$ contribution to the four-loop anomalous dimensions of non-singlet, twist-two operators in Quantum Chromodynamics. This result is obtained through computations of off-shell operator matrix elements. Employing integration-by-parts reductions and differential equations with respect to a tracing parameter allowed us to derive analytic results valid for arbitrary Mellin moment $n$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2310_12240 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | The $N_f \,C_F^3$ contribution to the non-singlet splitting function at four-loop order Gehrmann, Thomas von Manteuffel, Andreas Sotnikov, Vasily Yang, Tong-Zhi High Energy Physics - Phenomenology We report a new result for the $N_f \,C_F^3$ contribution to the four-loop anomalous dimensions of non-singlet, twist-two operators in Quantum Chromodynamics. This result is obtained through computations of off-shell operator matrix elements. Employing integration-by-parts reductions and differential equations with respect to a tracing parameter allowed us to derive analytic results valid for arbitrary Mellin moment $n$. |
| title | The $N_f \,C_F^3$ contribution to the non-singlet splitting function at four-loop order |
| topic | High Energy Physics - Phenomenology |
| url | https://arxiv.org/abs/2310.12240 |