The seeds of EFT double copy
| Autor: | Bonnefoy, Quentin, Durieux, Gauthier, Grojean, Christophe, Machado, Camila S., Nepveu, Jasper Roosmale |
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| Rok vydání: | 2021 |
| Předmět: | |
| Zdroj: | JHEP 05 (2022) 042 |
| Druh dokumentu: | Working Paper |
| DOI: | 10.1007/JHEP05(2022)042 |
| Popis: | We explore the double copy of effective field theories (EFTs), in the recently proposed generalized color-kinematics and Kawai-Lewellen-Tye (KLT) approaches. In the former, we systematically construct scalar numerators satisfying the Jacobi identities from simpler numerator "seeds" with trace-like permutation properties. This construction has the advantage of being easily applicable to any multiplicity, which we exemplify up to 6-point. It employs the linear map between color factors formed by single traces of generators and by products of the structure constants, which also relates the generalized KLT and color-kinematics formalisms, allowing to produce KLT kernels at arbitrary order in the EFT expansion. At 4-point, we show that all EFT kernels are generated and that they only yield double-copy amplitudes which can also be obtained from the traditional KLT kernel. We perform initial checks suggesting that the same conclusions also hold at 5-point. We focus on single-trace massless scalar EFTs which however also control the higher-derivative corrections to gauge and gravity theories. Comment: 28 pages, 3 appendices, v2 matches published version |
| Databáze: | arXiv |
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