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arXiv · 1712.07274

The Principle of Maximal Transcendentality and the Four-Loop Collinear Anomalous Dimension

Lance J. Dixon
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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 ${\cal N}=4$ super-Yang-Mills theory from recent QCD results, obtaining $\hat{\cal G}_{0}^{(4)} = - 300 ζ_7 - 256 ζ_2 ζ_5 - 384 ζ_3 ζ_4$. 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.

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Lance J. Dixon. 2018-01-19. The Principle of Maximal Transcendentality and the Four-Loop Collinear Anomalous Dimension. https://doi.org/10.1007/jhep01(2018)075

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