The nonplanar cusp and collinear anomalous dimension at four loops in ${\mathcal N} = 4$ SYM theory
R. Boels, T. Huber* and G. Yang
Pre-published on:
March 08, 2018
Published on:
July 02, 2018
Abstract
We present numerical results for the nonplanar lightlike cusp and collinear anomalous dimension at four loops in ${\mathcal N} = 4$ SYM theory, which we infer from a calculation of the Sudakov form factor. The latter is expressed as a rational linear combination of uniformly transcendental integrals for arbitrary colour factor. Numerical integration in the nonplanar sector reveals explicitly the breakdown of quadratic Casimir scaling at the four-loop order. A thorough analysis of the reported numerical uncertainties is carried out.
DOI: https://doi.org/10.22323/1.290.0042
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