S-Matrices of Self-Dual Gravity

TL;DR

This paper conjectures a one-loop scattering amplitude for self-dual gravity with identical helicity external legs, providing a complete perturbative S-matrix for this theory based on analyticity arguments.

Contribution

It introduces a conjectured one-loop amplitude for self-dual gravity with arbitrary external legs, advancing understanding of its perturbative S-matrix.

Findings

Conjectured a one-loop gravity scattering amplitude with same helicity external legs.

Provided the complete perturbative S-matrix for self-dual gravity.

Used analyticity arguments to derive the amplitude.

Abstract

We use analyticity arguments to conjecture a one-loop gravity scattering amplitude with an arbitrary number of external legs possessing the same helicity. This result also gives the complete perturbative S-matrix of self-dual gravity.