Abstract
The double-copy construction for form factors was reported in our previous work, in which a novel mechanism of turning spurious poles in Yang-Mills theory into physical poles in gravity is observed. This paper is the first of a series of two papers providing the details as well as various generalizations on the double-copy construction of tree-level form factors. In this paper, we establish the generic formalism by focusing on the form factor of tr(ϕ2) in the Yang-Mills-scalar theory. A thorough discussion is given on the emergence of the “spurious”-type poles and various related properties. We also discuss two generalizations: the Higgs amplitudes in QCD, and the tr(ϕ2) form factors with multiple external scalar states.
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Acknowledgments
We thank Gang Chen, Jin Dong, Song He, Henrik Johansson, Radu Roiban, Congkao Wen and Mao Zeng for discussions. This work is supported in part by the National Natural Science Foundation of China (Grants No. 12175291, 11935013, 12047503, 12247103) and by the CAS under Grants No. YSBR-101. We also thank the support of the HPC Cluster of ITP-CAS.
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Lin, G., Yang, G. Double copy for tree-level form factors. Part I. Foundations. J. High Energ. Phys. 2024, 12 (2024). https://doi.org/10.1007/JHEP02(2024)012
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DOI: https://doi.org/10.1007/JHEP02(2024)012