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

We compute the real space galaxy power spectrum, including the leading order effects of General Relativity and primordial non-Gaussianity from the fNL and gNL 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 bNL (akin to the Newtonian bϕ). 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.

Reference:
Contributions from primordial non-Gaussianity and General Relativity to the galaxy power spectrum, Rebeca Martinez-CarrilloJuan Carlos HidalgoKarim A. MalikAlkistis Pourtsidou, arXiv:2107.10815