Twist-three at five loops, Bethe Ansatz and wrapping

M. Beccaria, V. Forini, T. Lukowski, S. Zieme

Research output: Contribution to journalArticlepeer-review

47 Citations (Scopus)
26 Downloads (Pure)


We present a formula for the five-loop anomalous dimension of N=4 SYM twist-three operators in the sl(2) sector. We obtain its asymptotic part from the Bethe Ansatz and finite volume corrections from the generalized Luescher formalism, considering scattering processes of spin chain magnons with virtual particles that travel along the cylinder. The complete result respects the expected large spin scaling properties and passes non-trivial tests including reciprocity constraints. We analyze the pole structure and find agreement with a conjectured resummation formula. In analogy with the twist-two anomalous dimension at four-loops, wrapping effects are of order log^2 M/M^2 for large values of the spin.
Original languageEnglish
JournalJournal of High Energy Physics (JHEP)
Publication statusPublished - 30 Jan 2009


  • hep-th


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