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arXiv 2109.14635hep-phastro-ph.COhep-th
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膨胀关联函数在一个回路中的精度计算

Precision Calculation of Inflation Correlators at One Loop

Lian-Tao Wang, Zhong-Zhi Xianyu, Yi-Ming Zhong

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28 pages + appendices and references, 11 figures, 1 table. v2 as published in JHEP
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摘要：

本文从具有化学势增强的玻色单圈双谱出发，系统地研究了单圈水平上暴胀关联函数的精确计算。这样的单圈过程可能导致重要的宇宙学对撞机观测值，但由于缺乏对称性而难以计算。我们攻击的问题，从一个直接的数值方法的基础上的实时Schwinger-Keldysh形式主义，并显示完整的数值结果，任意运动包含振荡的“信号”和“背景”。我们的研究结果表明，虽然非振荡部分可以是一到两个数量级大，振荡信号可以通过应用适当的高通滤波器分离出来。我们还比较了结果与文献中通常采用的分析估计。虽然振幅是可比的，但振荡部分的频率偏离极端压缩极限存在不可忽略的偏差。

英文摘要：

We initiate a systematic study of precision calculation of the inflation correlators at the 1-loop level, starting in this paper with bosonic 1-loop bispectrum with chemical-potential enhancement. Such 1-loop processes could lead to important cosmological collider observables but are notoriously difficult to compute due to the lack of symmetries. We attack the problem from a direct numerical approach based on the real-time Schwinger-Keldysh formalism and show full numerical results for arbitrary kinematics containing both the oscillatory "signals" and the "backgrounds". Our results show that, while the non-oscillatory part can be one to two orders of magnitude larger, the oscillatory signal can be separated out by applying appropriate high-pass filters. We have also compared the result with analytic estimates typically adopted in the literature. While the amplitude is comparable, there is a non-negligible deviation in the frequency of the oscillatory part away from the extreme squeezed limit.

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