Four loop reciprocity of twist two operators in N=4 SYM

Beccaria, Matteo; Forini, Valentina

doi:10.1088/1126-6708/2009/03/111

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Four loop reciprocity of twist two operators in N=4 SYM

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Forini, Valentina
Quantum Gravity & Unified Theories, AEI-Golm, MPI for Gravitational Physics, Max Planck Society;

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Beccaria, M., & Forini, V. (2009). Four loop reciprocity of twist two operators in N=4 SYM. Journal of High Energy Physics, 2009(3): 111. doi:10.1088/1126-6708/2009/03/111.

Cite as: https://hdl.handle.net/11858/00-001M-0000-0013-45AB-7

Abstract

The complete universal anomalous dimension of twist-2 operators in N=4 SYM has been recently conjectured at four loops in terms of maximum transcendentality combinations of harmonic sums. It reproduces the known cusp anomaly, NLO BFKL poles, and the diagrammatic result for the Konishi operator. In this paper, we prove that it passes a further deep test related to a generalized Gribov-Lipatov reciprocity. This holds for both the asymptotic Bethe Ansatz contribution and the novel wrapping correction. This result suggests reciprocity to be a very stable and intrinsic property of twist-2 operators.