Five-loop contributions to low-<i>N</i> non-singlet anomalous dimensions in QCD

Herzog, F, Moch, S, Ruijl, B, Ueda, T, Vermaseren, JAM and Vogt, A
(2019) Five-loop contributions to low-<i>N</i> non-singlet anomalous dimensions in QCD. PHYSICS LETTERS B, 790. pp. 436-443.

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We present the first calculations of next-to-next-to-next-to-next-to-leading order (N^4LO) contributions to anomalous dimensions of spin-N twist-2 operators in perturbative QCD. Specifically, we have obtained the respective non-singlet quark-quark anomalous dimensions at N=2 and N=3 to the fifth order in the strong coupling alpha_s. These results set the scale for the N^4LO contributions to the evolution of the non-singlet quark distributions of hadrons outside the small-x region, and facilitate a first approximate determination of the five-loop cusp anomalous dimension. While the N^4LO coefficients are larger than expected from the lower-order results, their inclusion stabilizes the perturbative expansions for three or more light flavours at a sub-percent accuracy for alpha_s < 0.3.

Item Type: Article
Additional Information: 11 pages, LaTeX, 2 figures. FORM file of the main results available with the source. v2: Nikhef and DESY numbers added, one very minor text modification. Version to appear in Phys. Lett. B
Uncontrolled Keywords: Perturbative QCD, Twist-2 anomalous dimensions, (NLO)-L-4 contributions, Evolution of quark distributions, Five-loop cusp anomalous dimension
Depositing User: Symplectic Admin
Date Deposited: 16 Mar 2020 16:21
Last Modified: 14 Oct 2023 09:06
DOI: 10.1016/j.physletb.2019.01.060
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