Resummed tree heptagon

Research output: Contribution to journalArticle

Abstract

The form factor program for the regularized space–time S-matrix in planar maximally supersymmetric gauge theory, known as the pentagon operator product expansion, is formulated in terms of flux-tube excitations propagating on a dual two-dimensional world-sheet, whose dynamics is known exactly as a function of ‘t Hooft coupling. Both MHV and non-MHV amplitudes are described in a uniform, systematic fashion within this framework, with the difference between the two encoded in coupling-dependent helicity form factors expressed via Zhukowski variables. The nontrivial SU(4) tensor structure of flux-tube transitions is coupling independent and is known for any number of charged excitations from solutions of a system of Watson and Mirror equations. This description allows one to resum the infinite series of form factors and recover the space–time S-matrix exactly in kinematical variables at a given order of perturbation series. Recently, this was done for the hexagon. Presently, we successfully perform resummation for the seven-leg tree NMHV amplitude. To this end, we construct the flux-tube integrands of the fifteen independent Grassmann component of the heptagon with an infinite number of small fermion–antifermion pairs accounted for in NMHV two-channel conformal blocks.

Original languageEnglish (US)
Pages (from-to)113-136
Number of pages24
JournalNuclear Physics B
Volume929
DOIs
StatePublished - Apr 1 2018

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form factors
tubes
hexagons
matrices
excitation
gauge theory
tensors
mirrors
operators
perturbation
expansion
products

ASJC Scopus subject areas

  • Nuclear and High Energy Physics

Cite this

Resummed tree heptagon. / Belitsky, Andrei.

In: Nuclear Physics B, Vol. 929, 01.04.2018, p. 113-136.

Research output: Contribution to journalArticle

Belitsky, Andrei. / Resummed tree heptagon. In: Nuclear Physics B. 2018 ; Vol. 929. pp. 113-136.
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