Towards NMHV amplitudes at strong coupling

TL;DR

This paper develops a systematic large 't Hooft coupling expansion for pentagon form factors in planar N=4 super Yang-Mills theory, providing insights into NMHV scattering amplitudes at strong coupling.

Contribution

It introduces a power series expansion for pentagons at large coupling and tests it against Descent Equation relations, advancing understanding of NMHV amplitudes at strong coupling.

Findings

Constructed a systematic expansion for pentagons at large 't Hooft coupling.

Validated the expansion using Descent Equation relations.

Provided initial insights into NMHV amplitude structure at strong coupling.

Abstract

Pentagon Operator Product Expansion provides a non-perturbative framework for analysis of scattering amplitudes in planar maximally supersymmetric gauge theory building up on their duality to null polygonal super Wilson loop and integrability. In this paper, we construct a systematic expansion for the main ingredients of the formalism, i.e., pentagons, at large 't Hooft coupling as a power series in its inverse value. The calculations are tested against relations provided by the so-called Descent Equation which mixes transitions at different perturbative orders. We use leading order results to have a first glimpse into the structure of scattering amplitude at NMHV level at strong coupling.