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The understanding of the primordial mechanism that seeded the cosmicstructures 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 inflationaryscenario, a period of violent accelerated expansion in the very early stages ofevolution of the Universe. While our current knowledge of the physics ofinflation is limited to phenomenological models which fit observations, anexquisite understanding of the particle content and interactions taking placeduring inflation would provide breakthroughs in our understanding offundamental physics at high energies. In this review, we summarize recenttheoretical progress in the modelling of the imprint of primordial interactionsin the large scale structures of the Universe. We focus specifically on theeffects of such interactions on the statistical distribution of dark matterhalos, providing a consistent treatment of the steps required to connect thecorrelations generated among fields during inflation all the way to thelate-time correlations of halos.

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