Double copy for tree-level form factors. Part II. Generalizations and special topics
arXiv:2306.04672 · doi:10.1007/JHEP02(2024)013
Abstract
Both the Bern, Carrasco and Johansson (BCJ) and the Kawai, Lewellen and Tye (KLT) double-copy formalisms have been recently generalized to a class of scattering matrix elements (so-called form factors) that involve local gauge-invariant operators. In this paper we continue the study of double copy for form factors. First, we generalize the double-copy prescription to form factors of higher-length operators with . These higher-length operators introduce new non-trivial color identities, but the double-copy prescription works perfectly well. The closed formulae for the CK-dual numerators are also provided. Next, we discuss the vectors which are central ingredients appearing in the factorization relations of both the KLT kernels and the gauge form factors. We present a general construction rule for the vectors and discuss their universal properties. Finally, we consider the double copy for the form factor of the operator in pure Yang-Mills theory. In this case, we propose a new prescription that involves a gauge invariant decomposition for the form factor and a combination of different CK-dual numerators appearing in the expansion.
arXiv comment69 pages, 7 figures; v2: minor changes, references added, published version
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