Nonsinglet pentagons and NMHV amplitudes

TL;DR

This paper develops a nonperturbative framework for calculating NMHV amplitudes in supersymmetric gauge theory using refined operator product expansion and bootstrap equations for pentagon form factors, validated against three-loop perturbative results.

Contribution

It introduces a novel derivation of scattering matrices from Baxter equations and proposes bootstrap equations for nonsinglet pentagon form factors, providing solutions to all orders in coupling.

Findings

Derived scattering matrices from Baxter equations.

Proposed and solved bootstrap equations for pentagon form factors.

Validated results against three-loop perturbative calculations.

Abstract

Scattering amplitudes in maximally supersymmetric gauge theory receive a dual description in terms of the expectation value of the super Wilson loop stretched on a null polygonal contour. This makes the analysis amenable to nonperturbative techniques. Presently, we elaborate on a refined form of the operator product expansion in terms of pentagon transitions to compute twist-two contributions to NMHV amplitudes. To start with, we provide a novel derivation of scattering matrices starting from Baxter equations for flux-tube excitations propagating on magnon background. We propose bootstrap equations obeyed by pentagon form factors with nonsinglet quantum numbers with respected to the R-symmetry group and provide solutions to them to all orders in 't Hooft coupling. These are then successfully confronted against available perturbative calculations for NMHV amplitudes to three-loop order.