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Contributions from primordial non-Gaussianity and General Relativity to the galaxy power spectrum

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(2021)cite arxiv:2107.10815Comment: 15 pages, 5 figures.

Abstract

We compute the real space galaxy power spectrum, including the leading order effects of General Relativity and primordial non-Gaussianity from the $f_NL$ and $g_NL$ parameters. Such contributions come from the one-loop matter power spectrum terms dominant at large scales, and from the factors of the non-linear bias parameter $b_NL$ (akin to the Newtonian $b_\phi$). We use our modelling to assess the ability of Stage-IV surveys to constrain primordial non-Gaussianity. In addition, we show how this non-linear bias parameter can effectively renormalize diverging relativistic contributions at large scales.

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