The $N_f{C}_F^3$ contribution to the non-singlet splitting function at four-loop order

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 $n$.

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

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Cited by in corpus (7)

• Scaling violation in power corrections to energy correlators from the light-ray OPE
• disorder: Deep inelastic scattering at high orders
• Constraints for twist-two alien operators in QCD
• Combination of aN${}^3$LO PDFs and implications for Higgs production cross-sections at the LHC
• Benchmark of deep-inelastic-scattering structure functions at $\mathcal{O}({\alpha }_s^3)$
• Anomalous dimensions at small spins
• Four-loop anomalous dimension of flavor non-singlet quark operator of twist two and Lorentz spin N for general gauge group: transcendental part