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arXiv · 2310.12240

The $N_f \,C_F^3$ contribution to the non-singlet splitting function at four-loop order

Thomas Gehrmann·Andreas von Manteuffel·Vasily Sotnikov·Tong-Zhi Yang
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Abstract

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 $n$.

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Thomas Gehrmann, Andreas von Manteuffel, Vasily Sotnikov, Tong-Zhi Yang. 2023-10-18. The $N_f \,C_F^3$ contribution to the non-singlet splitting function at four-loop order. https://doi.org/10.1016/j.physletb.2023.138427

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