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

High Energy Physics - Phenomenology 2024-12-02 v2
Authors: Thomas Gehrmann , Andreas von Manteuffel , Vasily Sotnikov , Tong-Zhi Yang
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Abstract

We report a new result for the Nf CF3N_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 nn.

Keywords

quantum chromodynamics splitting function four-loop anomalous dimension non-singlet operator matrix element mellin moment

Cite

@article{arxiv.2310.12240,
  title  = {The $N_f \,C_F^3$ contribution to the non-singlet splitting function at four-loop order},
  author = {Thomas Gehrmann and Andreas von Manteuffel and Vasily Sotnikov and Tong-Zhi Yang},
  journal= {arXiv preprint arXiv:2310.12240},
  year   = {2024}
}

Comments

13 pages, 1 figure, ancillary file with result, journal version

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