The nonplanar cusp and collinear anomalous dimension at four loops in ${\mathcal N} = 4$ SYM theory

Rutger H. Boels; Tobias Huber; Gang Yang

The nonplanar cusp and collinear anomalous dimension at four loops in ${\mathcal N} = 4$ SYM theory

High Energy Physics - Theory 2017-12-21 v1 High Energy Physics - Phenomenology

Authors: Rutger H. Boels , Tobias Huber , Gang Yang

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.

Keywords

nonplanar cusp collinear anomalous dimension n=4 sym four loops sudakov form factor quadratic casimir scaling

Cite

@article{arxiv.1712.07563,
  title  = {The nonplanar cusp and collinear anomalous dimension at four loops in ${\mathcal N} = 4$ SYM theory},
  author = {Rutger H. Boels and Tobias Huber and Gang Yang},
  journal= {arXiv preprint arXiv:1712.07563},
  year   = {2017}
}

Comments

10 pages, 2 figures, 1 table. Proceedings of the 13th International Symposium on Radiative Corrections (Applications of Quantum Field Theory to Phenomenology), 25-29 September, 2017, St. Gilgen, Austria

The nonplanar cusp and collinear anomalous dimension at four loops in ${\mathcal N} = 4$ SYM theory

Abstract

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