OPE for all Helicity Amplitudes

TL;DR

This paper extends the Operator Product Expansion framework in planar N=4 SYM to include all helicity configurations of scattering amplitudes, using a new mapping to charged pentagon transitions, and relates it to integrable flux tube dynamics.

Contribution

It introduces a novel map between helicity states and charged pentagon transitions, generalizing the OPE approach to all helicities at finite coupling.

Findings

Constructed a simple helicity map using charged pentagons.

Generalized bosonic pentagons for MHV amplitudes.

Provided a realization of parity in the super Wilson loop.

Abstract

We extend the Operator Product Expansion (OPE) for scattering amplitudes in planar N=4 SYM to account for all possible helicities of the external states. This is done by constructing a simple map between helicity configurations and so-called charged pentagon transitions. These OPE building blocks are generalizations of the bosonic pentagons entering MHV amplitudes and they can be bootstrapped at finite coupling from the integrable dynamics of the color flux tube. A byproduct of our map is a simple realization of parity in the super Wilson loop picture.