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.
S. Alexander, S.J. Gates, L. Jenks, K. Koutrolikos and E. McDonough, Higher spin supersymmetry at the cosmological collider: sculpting SUSY rilles in the CMB, JHEP 10 (2019) 156 [arXiv:1907.05829] [INSPIRE].
D. Baumann, C. Duaso Pueyo, A. Joyce, H. Lee and G.L. Pimentel, The cosmological bootstrap: spinning correlators from symmetries and factorization, SciPost Phys. 11 (2021) 071 [arXiv:2005.04234] [INSPIRE].
F. Johansson et al., mpmath: a python library for arbitrary-precision floating-point arithmetic, version 0.18, http://mpmath.org/, December 2013.
ComplexPlot — Wolfram Language & System Documentation Center, https://reference.wolfram.com/language/ref/ComplexPlot.html.
HighpassFilter — Wolfram Language & System Documentation Center, https://reference.wolfram.com/language/ref/HighpassFilter.html.
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ArXiv ePrint: 2109.14635
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Wang, LT., Xianyu, ZZ. & Zhong, YM. Precision calculation of inflation correlators at one loop. J. High Energ. Phys. 2022, 85 (2022). https://doi.org/10.1007/JHEP02(2022)085
- Cosmology of Theories beyond the SM
- Beyond Standard Model