Precision Calculation of Inflation Correlators at One Loop

Abstract

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.

arXiv comment28 pages + appendices and references, 11 figures, 1 table. v2 as published in JHEP

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• Large Spin-2 Signals at the Cosmological Collider
• Phase Information in Cosmological Collider Signals
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• Probing Leptogenesis with the Cosmological Collider
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• Bootstrapping One-Loop Inflation Correlators with the Spectral Decomposition
• Large-Field Inflation and the Cosmological Collider
• Closed-Form Formulae for Inflation Correlators
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• Parity-Odd and Even Trispectrum from Axion Inflation
• NANOGrav signal from axion inflation
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• Searching for Cosmological Collider in the Planck CMB Data
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• Continuous Spectrum on Cosmological Collider
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• Soft limits of the wavefunction in exceptional scalar theories
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• Anatomy of Parity-violating Trispectra in Galaxy Surveys
• Charged Loops at the Cosmological Collider with Chemical Potential