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We explore the double copy of effective field theories (EFTs), in therecently proposed generalized color-kinematics and Kawai-Lewellen-Tye (KLT)approaches. In the former, we systematically construct scalar numeratorssatisfying the Jacobi identities from simpler numerator "seeds" with trace-likepermutation properties. This construction has the advantage of being easilyapplicable to any multiplicity, which we exemplify up to 6-point. It employsthe linear map between color factors formed by single traces of generators andby products of the structure constants, which also relates the generalized KLTand color-kinematics formalisms, allowing to produce KLT kernels at arbitraryorder in the EFT expansion. At 4-point, we show that all EFT kernels aregenerated and that they only yield double-copy amplitudes which can also beobtained from the traditional KLT kernel. We perform initial checks suggestingthat the same conclusions also hold at 5-point. We focus on single-tracemassless scalar EFTs which however also control the higher-derivativecorrections to gauge and gravity theories.

The seeds of EFT double copy