Gehrmann, Thomas and von Manteuffel, Andreas and Sotnikov, Vasily and Yang, Tong-Zhi (2024) Complete N²f contributions to four-loop pure-singlet splitting functions. JOURNAL OF HIGH ENERGY PHYSICS (1): 29. ISSN 1029-8479
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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.
| Item Type: | Article |
|---|---|
| Uncontrolled Keywords: | DEEP-INELASTIC-SCATTERING; BACKGROUND-FIELD GAUGE; MASSLESS PROPAGATORS; ANOMALOUS DIMENSIONS; MASTER INTEGRALS; PARTON DENSITIES; WILSON OPERATORS; RENORMALIZATION; QCD; INVARIANT; Higher-Order Perturbative Calculations; Deep Inelastic Scattering or Small-x Physics |
| Subjects: | 500 Science > 530 Physics |
| Divisions: | Physics > Institute of Theroretical Physics |
| Depositing User: | Dr. Gernot Deinzer |
| Date Deposited: | 04 Dec 2025 07:55 |
| Last Modified: | 04 Dec 2025 07:55 |
| URI: | https://pred.uni-regensburg.de/id/eprint/64772 |
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