Five-loop contributions to low-N non-singlet anomalous dimensions in QCD
Abstract
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.
Cite
@article{arxiv.1812.11818,
title = {Five-loop contributions to low-N non-singlet anomalous dimensions in QCD},
author = {F. Herzog and S. Moch and B. Ruijl and T. Ueda and J. A. M. Vermaseren and A. Vogt},
journal= {arXiv preprint arXiv:1812.11818},
year = {2019}
}
Comments
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