
TL;DR
This paper advances the pentagon operator product expansion framework for planar N=4 SYM by successfully resumming the seven-leg tree NMHV amplitude, providing an exact space-time S-matrix at a given perturbation order.
Contribution
It extends the resummation techniques from hexagons to heptagons, enabling exact calculations of seven-leg NMHV amplitudes in planar N=4 SYM.
Findings
Resummed the seven-leg tree NMHV amplitude.
Constructed flux-tube integrands for all Grassmann components.
Achieved exact S-matrix in kinematical variables at a given perturbation order.
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…
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