Journal
PHYSICAL REVIEW LETTERS
Volume 119, Issue 20, Pages -Publisher
AMER PHYSICAL SOC
DOI: 10.1103/PhysRevLett.119.201601
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Funding
- German Science Foundation (DFG) within the Collaborative Research Center 676 Particles, Strings and the Early Universe
- Chinese Academy of Sciences (CAS) Hundred-Talent Program
- Key Research Program of Frontier Sciences of CAS
- National Natural Science Foundation of China (NSFC) [11647601]
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The lightlike cusp anomalous dimension is a universal function that controls infrared divergences in quite general gauge theories. In the maximally supersymmetric Yang-Mills theory this function is fixed fully by integrability to the three-loop order. At four loops a nonplanar correction appears which we obtain for the first time from a numerical computation of the Sudakov form factor. Key ingredients are widely applicable methods to control the number-theoretic aspects of the appearing integrals. Our result shows explicitly that quadratic Casimir scaling breaks down at four loops.
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