Double copy for tree-level form factors. Part I. Foundations
arXiv:2211.01386 · doi:10.1007/JHEP02(2024)012
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 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 form factors with multiple external scalar states.
arXiv comment63 pages, 11 figures; v2: minor changes, references added, published version
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- Double copy for tree-level form factors. Part II. Generalizations and special topics