We use the principle of maximal transcendentality and the universal nature of subleading infrared poles to extract the analytic value of the four-loop collinear anomalous dimension in planar N=4 super-Yang-Mills theory from recent QCD results, obtaining G^0(4)=−300ζ7−256ζ2ζ5−384ζ3ζ4. This value agrees with a previous numerical result to within 0.2 percent. It also provides the Regge trajectory, threshold soft anomalous dimension and rapidity anomalous dimension through four loops.
@article{arxiv.1712.07274,
title = {The Principle of Maximal Transcendentality and the Four-Loop Collinear Anomalous Dimension},
author = {Lance J. Dixon},
journal= {arXiv preprint arXiv:1712.07274},
year = {2018}
}