In this work, we study a warped five-dimensional (5D) model with ultraviolet (UV) and infrared (IR) branes, that solves the hierarchy problem with a fundamental 5D Planck scale M, and curvature parameter k, of the order of the 4D Planck mass MPl ≡ 2.4 × 1015 TeV. The model exhibits a continuum of Kaluza–Klein (KK) modes with different mass gaps, at the TeV scale, for all fields. We have computed Green’s functions and spectral densities, and shown how the presence of a continuum KK spectrum can produce an enhancement in the cross-section of some Standard Model processes. The metric is linear near the IR, in conformal coordinates, as in the linear dilaton (LD) and 5D clockwork models, for which M ∼ TeV. We also analyze a pure (continuum) LD scenario, solving the hierarchy problem with more conventional fundamental M and k scales of the order of MPl, and a continuum spectrum.

中文翻译：

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关于有间隙的连续共振谱

在这项工作中，我们研究了具有紫外 (UV) 和红外 (IR) 膜的弯曲五维 (5D) 模型，该模型解决了具有基本 5D 普朗克尺度的层次结构问题米, 和曲率参数ķ, 4D 普朗克质量的数量级米PL ≡ 2.4 × 1015TeV。该模型展示了所有领域在 TeV 尺度上具有不同质量间隙的 Kaluza-Klein (KK) 模式的连续统。我们计算了格林函数和光谱密度，并展示了连续 KK 光谱的存在如何在某些标准模型过程的横截面中产生增强。该度量在 IR 附近是线性的，在保形坐标中，如在线性膨胀 (LD) 和 5D 发条模型中，其中米 ～TeV。我们还分析了一个纯（连续）LD 场景，用更传统的基础解决了层次结构问题米和ķ量级的尺度米PL, 和一个连续谱。