Colour-kinematics duality, double copy, and homotopy algebras

Leron Borsten, Hyungrok Kim, Branislav Jurčo, Tommaso Macrelli, Christian Saemann, Martin Wolf

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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.
Original languageEnglish
Number of pages6
JournalProceedings of Science
Publication statusPublished - 6 Jul 2022
Event41st International Conference on High Energy Physics, ICHEP 2022 - Bologna, Italy
Duration: 6 Jul 202213 Jul 2022


  • hep-th


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