# The principle of maximal transcendentality and the four-loop collinear anomalous dimension

Journal of High Energy Physics, Jan 2018

Abstract 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 $$\mathcal{N}$$ = 4 super-Yang-Mills theory from recent QCD results, obtaining $${\widehat{\mathcal{G}}}_0^{(4)}=-300{\zeta}_7-256{\zeta}_2{\zeta}_5-384{\zeta}_3{\zeta}_4$$. This value agrees with a previous numerical result to within 0.2%. It also provides the Regge trajectory, threshold soft anomalous dimension and rapidity anomalous dimension through four loops.

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Lance J. Dixon. The principle of maximal transcendentality and the four-loop collinear anomalous dimension, Journal of High Energy Physics, 2018, 75, DOI: 10.1007/JHEP01(2018)075