Relations between graviton and gluon amplitudes from twistor space
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Pre-published on:
December 17, 2024
Published on:
April 29, 2025
Abstract
The tree-level amplitudes of gauge theory and gravity in four dimensions have miraculously simple expressions coming from twistor space, graded in complexity by the helicity configuration of the external particles. These are known as the Roiban-Spradlin-Volovich-Witten (RSVW) and Cachazo-Skinner formula respectively. In these proceedings we summarise the results of 2406.04539 which finds the form of the double copy relation between these two formulae. The double copy expresses gravity amplitudes as a ``square'' of gauge theory amplitudes. However, the relation between the RSVW and Cachazo-Skinner formuale has historically been left implicit. We find that the explicit relation is based in twistor space and is naturally helicity-graded. We further show its connection to biadjoint scalar theory.
DOI: https://doi.org/10.22323/1.476.0799
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Copyright owned by the author(s) under the term of the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.
Copyright owned by the author(s) under the term of the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.