Boels, RH (reprint author), Univ Hamburg, Inst Theoret Phys 2, Luruper Chaussee 149, D-22761 Hamburg, Germany.
; Huber, T (reprint author), Univ Siegen, Nat Wissensch Tech Fak, Walter Flex Str 3, D-57068 Siegen, Germany.
; Yang, G (reprint author), Chinese Acad Sci, Inst Theoret Phys, CAS Key Lab Theoret Phys, Beijing 100190, Peoples R China.
文章类型:
Article
英文摘要:
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.
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]
