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Colour-kinematics duality, double copy, and homotopy algebras

Colour-kinematics duality, double copy, and homotopy algebras

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 …