OPE for Super Loops

TL;DR

This paper extends the Operator Product Expansion to super loops dual to non MHV gluon amplitudes, enabling the derivation of loop amplitudes from tree level data and providing new all-loop predictions.

Contribution

It introduces an extension of the OPE framework to super loops, allowing the promotion of tree amplitudes to all loop orders and deriving one-loop NMHV amplitudes.

Findings

Re-derived all one-loop NMHV six-gluon amplitudes.

Provided new all-loop predictions for these amplitudes.

Extended OPE to super loops dual to non MHV gluon amplitudes.

Abstract

We extend the Operator Product Expansion for Null Polygon Wilson loops to the Mason-Skinner-Caron-Huot super loop, dual to non MHV gluon amplitudes. We explain how the known tree level amplitudes can be promoted into an infinite amount of data at any loop order in the OPE picture. As an application, we re-derive all one loop NMHV six gluon amplitudes by promoting their tree level expressions. We also present some new all loops predictions for these amplitudes.