Scattering Amplitudes of Kaluza-Klein Strings and Extended Massive Double-Copy
| Autor: | Li, Yao, Hang, Yan-Feng, He, Hong-Jian, He, Song |
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| Rok vydání: | 2021 |
| Předmět: | |
| Zdroj: | JHEP 02 (2022) 120 |
| Druh dokumentu: | Working Paper |
| DOI: | 10.1007/JHEP02(2022)120 |
| Popis: | 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. Comment: 41 pages, JHEP version, only minor refinements, references added |
| Databáze: | arXiv |
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