4.4 Article

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

Journal

JOURNAL OF HIGH ENERGY PHYSICS
Volume -, Issue 1, Pages -

Publisher

SPRINGER
DOI: 10.1007/JHEP01(2018)075

Keywords

Scattering Amplitudes; Supersymmetric Gauge Theory; 1/N Expansion

Funding

  1. US Department of Energy [DE-AC02-76SF00515]
  2. Munich Institute for Astro- and Particle Physics (MIAPP) of the DFG cluster of excellence Origin and Structure of the Universe

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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) over cap (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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