Effective Theory of Large-Scale Structure with Primordial Non-Gaussianity

TL;DR

This paper extends the effective theory of large-scale structure to include primordial non-Gaussianity, introducing new operators and classifying their contributions based on the squeezed limit of the bispectrum.

Contribution

It develops a comprehensive framework incorporating primordial non-Gaussianity into the effective theory, including classification, derivation, and numerical evaluation of corrections.

Findings

New operators from primordial non-Gaussianity are incorporated into the effective theory.

The theory is shown to be closed under renormalization, ensuring completeness.

Numerical results quantify the impact of non-Gaussianity on the matter power spectrum and bispectrum.

Abstract

We develop the effective theory of large-scale structure for non-Gaussian initial conditions. The effective stress tensor in the dark matter equations of motion contains new operators, which originate from the squeezed limit of the primordial bispectrum. Parameterizing the squeezed limit by a scaling and an angular dependence, captures large classes of primordial non-Gaussianity. Within this parameterization, we classify the possible contributions to the effective theory. We show explicitly how all terms consistent with the symmetries arise from coarse graining the dark matter equations of motion and its initial conditions. We also demonstrate that the system is closed under renormalization and that the basis of correction terms is therefore complete. The relevant corrections to the matter power spectrum and bispectrum are computed numerically and their relative importance is discussed.