Abstract
This paper is focused on the loop-level understanding of the Bern-Carrasco-Johansson double copy procedure that relates the integrands of gauge theory and gravity scattering amplitudes. At four points, the first non-trivial example of that construction is one-loop amplitudes in \( \mathcal{N} \) =2 super-Yang-Mills theory and the symmetric realization of \( \mathcal{N} \) =4 matter-coupled supergravity. Our approach is to use both field and string theory in parallel to analyze these amplitudes. The closed string provides a natural framework to analyze the BCJ construction, in which the left- and right-moving sectors separately create the color and kinematics at the integrand level. At tree level, in a five-point example, we show that the Mafra-Schlotterer-Stieberger procedure gives a new direct proof of the color-kinematics double copy. We outline the extension of that argument to n points. At loop level, the field-theoretic BCJ construction of \( \mathcal{N} \) = 2 SYM amplitudes introduces new terms, unexpected from the string theory perspective. We discuss to what extent we can relate them to the terms coming from the interactions between left- and right-movers in the string-theoretic gravity construction.
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Ochirov, A., Tourkine, P. BCJ duality and double copy in the closed string sector. J. High Energ. Phys. 2014, 136 (2014). https://doi.org/10.1007/JHEP05(2014)136
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DOI: https://doi.org/10.1007/JHEP05(2014)136