Large non-Gaussianities in the Effective Field Theory Approach to Single-Field Inflation: the Trispectrum

Abstract

We perform the analysis of the trispectrum of curvature perturbations generated by the interactions characterizing a general theory of single-field inflation obtained by effective field theory methods. We find that curvature-generated interaction terms, which can in general give an important contribution to the amplitude of the four-point function, show some new distinctive features in the form of their trispectrum shape-function. These interesting interactions are invariant under some recently proposed symmetries of the general theory and, as shown explicitly, do allow for a large value of the trispectrum.

29 pages, 13 figures

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• Probing a stationary non-Gaussian background of stochastic gravitational waves with pulsar timing arrays
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• Differentiating G-inflation from String Gas Cosmology using the Effective Field Theory Approach
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• Optimal bispectrum constraints on single-field models of inflation
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• The Black Hole Window on Cosmic Inflation