Gravitationally dressed Parke-Taylor amplitudes

TL;DR

This paper derives a generating function for Parke-Taylor amplitudes involving positive helicity gravitons and gluons, utilizing a self-dual classical solution in Yang-Mills theory coupled with gravity.

Contribution

It introduces a novel generating function for mixed helicity amplitudes using a self-dual perturbiner solution in Yang-Mills and gravity.

Findings

Provides a new method to compute mixed helicity amplitudes

Extends the understanding of gravitational effects in gauge theory amplitudes

Offers a compact representation for complex scattering processes

Abstract

A generating function for the Parke-Taylor amplitudes with any number of positive helicity gravitons in addition to the positive helicity gluons is obtained using the recently constructed self-dual classical solution of the type of perturbiner in Yang-Mills theory interacting with gravity.