Hang Yan-Feng, He Hong-Jian
Tsung-Dao Lee Institute and School of Physics and Astronomy, Key Laboratory for Particle Astrophysics and Cosmology (MOE), Shanghai Key Laboratory for Particle Physics and Cosmology, Shanghai Jiao Tong University, Shanghai, China.
Institute of Modern Physics and Department of Physics, Tsinghua University, Beijing, China.
Research (Wash D C). 2022 Jul 14;2022:9860945. doi: 10.34133/2022/9860945. eCollection 2022.
We analyze the structure of scattering amplitudes of the Kaluza-Klein (KK) gravitons and of the KK gravitational Goldstone bosons in the compactified 5d general relativity (GR). Using a general gauge fixing, we study the geometric Higgs mechanism for the massive spin-2 KK gravitons. We newly propose and prove a gravitational equivalence theorem (GRET) to connect the scattering amplitudes of longitudinal KK gravitons to that of the KK gravitational Goldstone bosons, which - We demonstrate that guaranteeing the -point longitudinal KK graviton scattering amplitudes to have their leading energy dependence cancelled down by a large power factor of up to any loop level. We propose an improved double-copy approach to construct the massive KK graviton (Goldstone) amplitudes from the KK gauge boson (Goldstone) amplitudes. With these, we establish in the four-point longitudinal KK amplitudes at tree level: in the KK gauge theory and in the KK GR theory.
我们分析了紧致化五维广义相对论（GR）中卡鲁扎-克莱因（KK）引力子以及KK引力戈德斯通玻色子的散射振幅结构。通过使用一般的规范固定，我们研究了有质量自旋-2的KK引力子的几何希格斯机制。我们新提出并证明了一个引力等价定理（GRET），以将纵向KK引力子的散射振幅与KK引力戈德斯通玻色子的散射振幅联系起来，这保证了在任意圈阶下， - 我们证明了 - 使 - 点纵向KK引力子散射振幅的主导能量依赖关系被高达的大幂次因子抵消。我们提出了一种改进的双拷贝方法，从KK规范玻色子（戈德斯通）振幅构建有质量的KK引力子（戈德斯通）振幅。借助这些，我们在树图阶的四点纵向KK振幅中确定：在KK规范理论中以及在KK广义相对论理论中。
