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Why Must Primordial Non-Gaussianity Be Very Small?

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arxiv 2104.01953 v3 pith:HW4TRN7E submitted 2021-04-05 hep-th astro-ph.CO

Why Must Primordial Non-Gaussianity Be Very Small?

classification hep-th astro-ph.CO
keywords perturbationcorrectionmuchmustnon-gaussianityprimordialtheoryanticipated
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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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    The inflationary trispectrum of gauge fields from scalar and tensor exchanges is derived analytically, yielding beta^zeta_nl = (b^zeta_nl)^2 in the counter-collinear limit and growing flattened-limit signals.