Abstract
We address the near-collinear expansion of NMHV six-particle scattering amplitudes at strong value of the 't Hooft coupling in planar maximally supersymmetric Yang–Mills theory. We complement recent studies of this observable within the context of the Pentagon Operator Product Expansion, via the dual superWilson loop description, by studying effects of multiple scalar exchanges that accompany (or not) massive flux-tube excitations. Due to the fact that holes have a very small, nonperturbatively generated mass mh which is exponentially suppressed in the 't Hooft coupling, their exchanges must be resummed in the ultraviolet limit, τ≪1/mh. This procedure yields a contribution to the expectation value of the superloop which enters on equal footing with the classical area — a phenomenon which was earlier observed for MHV amplitudes. In all components, the near-massless scalar exchanges factorize from the ones of massive particles, at leading order in strong coupling.
Highlights
The equivalence between N -gluon maximally helicity-violating (MHV) scattering amplitudes in planar maximally supersymmetric gauge theory and the expectation value of the Wilson loop on a null polygonal contour CN was first established at strong coupling via the analysis of the minimal area in anti-de Sitter space ending on CN [1] through the lens of gauge/string correspondence [2, 3, 4]
While the MHV amplitude at strong coupling was addressed in this Operator Product Expansion framework1 in Refs. [9, 13, 32, 33] and went beyond the area paradigm in Ref. [32], quantitatively not much is known to date about the strong coupling behavior of amplitudes at non-MHV level
In this work we extended the strong coupling analysis of NMHV hexagon to include hole excitations
Summary
The equivalence between N -gluon maximally helicity-violating (MHV) scattering amplitudes in planar maximally supersymmetric gauge theory and the expectation value of the Wilson loop on a null polygonal contour CN was first established at strong coupling via the analysis of the minimal area in anti-de Sitter space ending on CN [1] through the lens of gauge/string correspondence [2, 3, 4]. This was further solidified through the Thermodynamic Bethe Ansatz [5, 6]. A couple of appendices contain results used in the main text
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