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- Title
Scattering amplitudes of Kaluza-Klein strings and extended massive double-copy.
- Authors
Li, Yao; Hang, Yan-Feng; He, Hong-Jian; He, Song
- Abstract
We study the scattering amplitudes of massive Kaluza-Klein (KK) states of open and closed bosonic strings under toroidal compactification. We analyze the structure of vertex operators for the KK strings and derive an extended massive KLT-like relation which connects the N-point KK closed-string amplitude to the products of two KK open-string amplitudes at tree level. Taking the low energy field-theory limit of vanishing Regge slope, we derive double-copy construction formula of the N-point massive KK graviton amplitude from the sum of proper products of the corresponding KK gauge boson amplitudes. Then, using the string-based massive double-copy formula, we derive the exact tree-level four-point KK gauge boson amplitudes and KK graviton amplitudes, which fully agree with those given by the KK field-theory calculations. With these, we give an explicit prescription on constructing the exact four-point KK graviton amplitudes from the sum of proper products of the corresponding color-ordered KK gauge boson amplitudes. We further analyze the string-based double-copy construction of five-point and six-point scattering amplitudes of massive KK gauge bosons and KK gravitons.
- Subjects
SCATTERING amplitude (Physics); GAUGE bosons; GRAVITONS
- Publication
Journal of High Energy Physics, 2022, Vol 2022, Issue 2, p1
- ISSN
1126-6708
- Publication type
Article
- DOI
10.1007/JHEP02(2022)120