PoS - Proceedings of Science
Volume 414 - 41st International Conference on High Energy physics (ICHEP2022) - Formal Theory
Colour-kinematics duality, double copy, and homotopy algebras
T. Macrelli*, L. Borsten, H. Kim, B. Jurco, C. Saemann and M. Wolf
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Pre-published on: November 21, 2022
Published on:
Abstract
Colour-kinematics duality is a remarkable property of Yang-Mills theory. Its validity implies a relation between gauge theory and gravity scattering amplitudes, known as double copy. Albeit fully established at the tree level, its extension to the loop level is conjectural. Lifting the on-shell, scattering amplitudes-based description to the level of action functionals, we argue that a theory that exhibits tree-level colour-kinematics duality can be reformulated in a way such that its loop integrands manifest a generalised form of colour-kinematics duality. Moreover, we show how the structures of higher homotopy theory naturally describe this off-shell reformulation of colour-kinematics duality.
DOI: https://doi.org/10.22323/1.414.0426
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