Resonant Trispectrum and a Dozen More Primordial N-point functions

TL;DR

This paper calculates all N-point primordial curvature correlation functions at tree-level for resonant inflation models, revealing detailed non-Gaussian features and generalizing consistency relations for large N.

Contribution

It provides a comprehensive method to compute high-order N-point functions in resonant inflation, extending known results and including generalizations of consistency relations.

Findings

Computed all N-point functions up to N≈10 for resonant inflation

Neglected gravitational interactions, justified for large non-Gaussianity

Generalized consistency relations to arbitrary N-point functions

Abstract

We compute all N-point primordial curvature correlation functions from inflation at tree-level up to N of order ten or more depending on the choice of parameters. This is achieved for resonant inflationary models in which the inflaton potential has a periodic modulation on top of a slow-roll flat term. These models find a natural UV completion in string theory implementation of axion monodromy. Key to the success of our computation is the observation that gravitational interactions among the perturbations can be neglected, which we argue is justified for any model of inflation with parametrically large non-Gaussianity. We provide a comprehensive review and detailed derivations of known consistency relations for squeezed and collinear limits, and generalize them to any N-point function.