Why Must Primordial Non-Gaussianity Be Very Small?

Abstract

One-loop correction to the power spectrum in generic single-field inflation is calculated by using standard perturbation theory. Because of the enhancement inversely proportional to the observed red tilt of the spectral index of curvature perturbation, the correction turns out to be much larger than previously anticipated. As a result, the primordial non-Gaussianity must be much smaller than the current observational bound in order to warrant the validity of cosmological perturbation theory.

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Cited by in corpus (14)

• Inflation and Primordial Black Holes
• Implications for the non-Gaussianity of curvature perturbation from pulsar timing arrays
• Questions on calculation of primordial power spectrum with large spikes: the resonance model case
• Constraining Primordial Black Hole Formation from Single-Field Inflation
• One-loop correction to the enhanced curvature perturbation with local-type non-Gaussianity for the formation of primordial black holes
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