发表机构
Tsinghua University; University of Cambridge（清华大学; 剑桥大学）
机构由 AI 辅助整理，请以论文原文为准。AI 中文总结
本文首次解析推导了暴胀双谱和 trispectrum 中大质量标量三角圈产生的领先阶宇宙学碰撞器信号，并证明其可由有效气泡图重现，为提取一般圈信号提供了系统方法。
AI 中文摘要
三角圈信号在宇宙学碰撞器模型中频繁出现，但由于多种技术挑战，其解析形式至今未知。在此，我们首次确定了暴胀双谱和 trispectrum 中由大质量标量三角圈产生的领先阶宇宙学碰撞器解析信号。结合方向性切割规则与部分 Mellin-Barnes 表示，我们获得了软极限下的局域和非局域 trispectrum 信号，并推导了压缩双谱中的领先阶信号。值得注意的是，所有这些信号均可由具有单一有效收缩耦合的相应气泡图重现。超越领先阶的信号以及具有任意内部质量、自旋和相互作用的案例可在同一框架内生成。我们的方法还为从一般宇宙学关联函数中提取解析圈信号提供了系统性途径。
英文摘要
Triangular loop signals appear frequently in cosmological collider models but their analytical forms remain unknown due to multiple technical challenges. Here, we determine for the first time the leading analytical cosmological collider signals generated by a massive scalar triangle loop in inflationary bispectrum and trispectrum. Combining a directional cutting rule with partial Mellin-Barnes representations, we obtain both the local and nonlocal trispectrum signals in a soft limit and derive the leading signal in the squeezed bispectrum. Remarkably, all these signals are reproduced by the corresponding bubble diagram with a single effective pinched coupling. Signals beyond leading order and cases with arbitrary internal masses, spins, and interactions can be generated within the same framework. Our approach also provides a systematic route to extracting analytical loop signals from general cosmological correlators.
Comments8 pages, 3 figures, plus supplemental material
