发表机构
The Hong Kong University of Science and Technology; Jockey Club Institute for Advanced Study, The Hong Kong University of Science and Technology（香港科技大学; 香港赛马会高等研究院）
机构由 AI 辅助整理，请以论文原文为准。AI 中文总结
研究双场暴胀系统中宇宙学对撞机信号，基于精确超几何解构建混合传播子，用梅林 - 巴恩斯方法分离分支，解析挤压极限积分并与数值结果比较，导出大质量 JWKB 展开及等曲率维特曼函数积分表示。
AI 中文摘要
我们研究了一个双场暴胀系统中的宇宙学对撞机特征，该系统中规范归一化曲率涨落与一个大质量等曲率场之间存在恒定转动导数混合。基于最近导出的精确超几何解，该解非微扰地处理二次混合，我们构建了构成宇宙学关联函数的混合传播子。梅林 - 巴恩斯方法有助于分离重场携带的一对非解析晚期分支。对于三次等曲率自相互作用，这些分支对具有幂律包络和对数振荡的挤压双谱有贡献。振荡频率编码重质量，而幅度和相位保留完全的混合依赖性而非微扰展开。我们解析地执行挤压极限积分，并将其与跨代表性质量和混合强度的数值结果进行比较。在固定混合下，我们导出了挤压关联函数及其相位的大质量 JWKB 展开。我们还给出了等曲率维特曼函数的积分表示。该研究想法由 ARC 提出，计算由 GPT 执行，结果由作者检查。
英文摘要
We study cosmological collider signatures in a two-field inflationary system with constant-turn derivative mixing between the canonically normalized curvature fluctuation and a massive isocurvature field. Building on recently derived exact hypergeometric solutions that treat the quadratic mixing nonperturbatively, we construct the mixed propagators constituting the cosmological correlators. A Mellin-Barnes approach helps isolate the pair of nonanalytic late-time branches carried by a heavy field. For a cubic isocurvature self-interaction, these branches contribute towards a squeezed bispectrum with a power-law envelope and logarithmic oscillations. The oscillation frequency encodes the heavy mass, while the amplitude and phase retain the full mixing dependence rather than a perturbative expansion. We perform the squeezed limit integral analytically and compare it with numerical results across representative masses and mixing strengths. At fixed mixing we derive the large-mass JWKB expansion of the squeezed correlator and its phase. We also give integral representations for the isocurvature Wightman function. The research idea was suggested by ARC, the calculation was performed by GPT, and the results were checked by the authors.
Comments14+12 pages, 4 figures typos corrected, minor corrections made to the appendix, which do not influence the main results presented
