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High Energy Physics - Theory

arXiv:2111.12042 (hep-th)
[Submitted on 23 Nov 2021 (v1), last revised 3 Mar 2022 (this version, v3)]

Title:Scattering Amplitudes of Kaluza-Klein Strings and Extended Massive Double-Copy

Authors:Yao Li, Yan-Feng Hang, Hong-Jian He, Song He
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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.
Comments: 41 pages, JHEP version, only minor refinements, references added
Subjects: High Energy Physics - Theory (hep-th); General Relativity and Quantum Cosmology (gr-qc); High Energy Physics - Phenomenology (hep-ph)
Cite as: arXiv:2111.12042 [hep-th]
  (or arXiv:2111.12042v3 [hep-th] for this version)
  https://doi.org/10.48550/arXiv.2111.12042
Journal reference: JHEP 02 (2022) 120
Related DOI: https://doi.org/10.1007/JHEP02%282022%29120

Submission history

From: Hong-Jian He [view email]
[v1] Tue, 23 Nov 2021 17:51:21 UTC (49 KB)
[v2] Tue, 30 Nov 2021 14:32:25 UTC (50 KB)
[v3] Thu, 3 Mar 2022 14:44:59 UTC (53 KB)
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