Space-time S-matrix and flux-tube S-matrix III. The two-particle contributions

Benjamin Basso, Amit Sever*, Pedro Vieira

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review


Abstract: We consider light-like Wilson loops with hexagonal geometry in the planar limit of (formula presented) = 4 Super-Yang-Mills theory. Within the Operator-Product-Expansion framework these loops receive contributions from all states that can propagate on top of the colour flux tube sourced by any two opposite edges of the loops. Of particular interest are the two-particle contributions. They comprise virtual effects like the propagation of a pair of scalars, fermions, and gluons, on top of the flux tube. Each one of them is thoroughly discussed in this paper. Our main result is the prediction of all the twist-2 corrections to the expansion of the dual 6-gluons MHV amplitude in the near-collinear limit at finite coupling. At weak coupling, our result was recently used by Dixon, Drummond, Duhr and Pennington to predict the full amplitude at four loops. At strong coupling, it allows us to make contact with the classical string description and to recover the (previously elusive) AdS3 mode from the continuum of two-fermion states. More generally, the two-particle contributions serve as an exemplar for all the multi-particle corrections.

Original languageEnglish
Article number85
JournalJournal of High Energy Physics
Issue number8
StatePublished - 2014
Externally publishedYes


  • AdS-CFT Correspondence
  • Integrable Field Theories
  • Scattering Amplitudes
  • Wilson
  • ’t Hooft and Polyakov loops


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