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Bootstrapping One-Loop Inflation Correlators with the Spectral Decomposition

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arxiv 2211.03810 v1 pith:4M6U2U6D submitted 2022-11-07 hep-th astro-ph.COhep-ph

Bootstrapping One-Loop Inflation Correlators with the Spectral Decomposition

classification hep-th astro-ph.COhep-ph
keywords correlatorsinflationloopanalyticalmassivebackgroundbootstrappingcomplete
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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Phenomenological studies of cosmological collider physics in recent years have identified many 1-loop inflation correlators as leading channels for discovering heavy new particles around or above the inflation scale. However, complete analytical results for these massive 1-loop correlators are currently unavailable. In this work, we embark on a program of bootstrapping inflation correlators with massive exchanges at 1-loop order, with the input of tree-level inflation correlators and the techniques of spectral decomposition in dS. As a first step, we present for the first time the complete and analytical results for a class of 4-point and 3-point inflation correlators mediated by massive scalar fields at the 1-loop order. Using the full result, we provide simple and reliable analytical approximations for the signals and the background in the squeezed limit. We also identify configurations of the scalar trispectrum where the oscillatory signal from the loop is dominant over the background.

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Cited by 14 Pith papers

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