论文标题
KK-Graviton生产中的单位性：扭曲额外维度的案例研究
Unitarity in KK-graviton production: A case study in warped extra-dimensions
论文作者
论文摘要
高维重力的Kaluza-Klein（KK）分解在有效的四维（4D）理论中引起了KK-Graviton的塔。已知这种庞大的自旋2场与单位性问题有关，并很容易导致有效理论的分解，远低于相互作用的天真范围。但是，有效4D理论的分解预计将由5D理论的参数控制。在简化的Randall-Sundrum模型中工作，我们研究了物质an灭的矩阵元素，以使其成为大量的重力。我们发现，截断KK-tower会导致扰动单位性的早期故障。但是，通过考虑完整的塔楼，我们获得了一组总和规则，用于将单位性恢复到5D理论规模的不同KK场之间的耦合。我们可以分析地证明，这些模型已在所考虑的模型中实现，并呈现其收敛性的数值测试。这项工作补充了较早的研究，该研究集中在重力自我互动上，并产生如果物质字段纳入扭曲的额外维度，则需要进行其他总和。
The Kaluza-Klein (KK) decomposition of higher-dimensional gravity gives rise to a tower of KK-gravitons in the effective four-dimensional (4D) theory. Such massive spin-2 fields are known to be connected with unitarity issues and easily lead to a breakdown of the effective theory well below the naive scale of the interaction. However, the breakdown of the effective 4D theory is expected to be controlled by the parameters of the 5D theory. Working in a simplified Randall-Sundrum model we study the matrix elements for matter annihilations into massive gravitons. We find that truncating the KK-tower leads to an early breakdown of perturbative unitarity. However, by considering the full tower we obtain a set of sum rules for the couplings between the different KK-fields that restore unitarity up to the scale of the 5D theory. We prove analytically that these are fulfilled in the model under consideration and present numerical tests of their convergence. This work complements earlier studies that focused on graviton self-interactions and yields additional sum rules that are required if matter fields are incorporated into warped extra-dimensions.
