# The Hunt for Primordial Interactions in the Large Scale Structures of the Universe

## TL;DR

This paper reviews recent theoretical advances in understanding how primordial interactions during inflation influence the large-scale structure of the universe, especially the distribution of dark matter halos.

## Contribution

It provides a comprehensive summary of models linking inflationary primordial interactions to observable large-scale structures, emphasizing the statistical distribution of dark matter halos.

## Key findings

- Primordial interactions leave detectable imprints on large-scale structures.
- A consistent framework connects inflationary correlations to halo distributions.
- Insights could inform fundamental physics at high energies.

## Abstract

The understanding of the primordial mechanism that seeded the cosmic structures we observe today in the sky is one of the major goals in cosmology. The leading paradigm for such a mechanism is provided by the inflationary scenario, a period of violent accelerated expansion in the very early stages of evolution of the Universe. While our current knowledge of the physics of inflation is limited to phenomenological models which fit observations, an exquisite understanding of the particle content and interactions taking place during inflation would provide breakthroughs in our understanding of fundamental physics at high energies. In this review, we summarize recent theoretical progress in the modelling of the imprint of primordial interactions in the large scale structures of the Universe. We focus specifically on the effects of such interactions on the statistical distribution of dark matter halos, providing a consistent treatment of the steps required to connect the correlations generated among fields during inflation all the way to the late-time correlations of halos.