Abstract
We formulate a new program to generalize the double-copy of tree amplitudes. The approach exploits the link between the identity element of the “KLT algebra” and the KLT kernel, and we demonstrate how this leads to a set of KLT bootstrap equations that the double-copy kernel has to satisfy in addition to locality constraints. We solve the KLT bootstrap equations perturbatively to find the most general higher-derivative corrections to the 4- and 5-point field theory KLT kernel. The new kernel generalizes the string KLT kernel and its associated monodromy relations. It admits new color-structures in the effective theories it double-copies. It provides distinct generalized KK and BCJ relations for the left and right single-color theories and is in that sense a ‘heterotic’-type double-copy. We illustrate the generalized double-copy in detail for 4d Yang-Mills theory with higher-derivative corrections that produce dilaton-axion-gravity with local operators up order ∇10R4. Finally, we initiate a search for new double-copy kernels.
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Chi, HH., Elvang, H., Herderschee, A. et al. Generalizations of the double-copy: the KLT bootstrap. J. High Energ. Phys. 2022, 77 (2022). https://doi.org/10.1007/JHEP03(2022)077
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DOI: https://doi.org/10.1007/JHEP03(2022)077