The large scale limit of the observed galaxy power spectrum
First author: Matteo Foglieni
The large scale limit of the galaxy power spectrum provides a unique window into the early Universe through a possible detection of scale dependent bias produced by Primordial Non Gaussianities. On such large scales, relativistic effects could become important and, potentially, be confused for a primordial signal. In this work we provide the first consistent estimate of such effects in the observed galaxy power spectrum, and discuss their possible degeneracy with local Primordial Non Gaussianities. We also clarify the physical differences between the two signatures, as revealed by their different sensitivity to the large scale gravitational potential. In particular, we discuss the absence of large scale divergences, for a Gaussian Universe, in the observed power spectrum of any tracer of the Large Scale Structure, and their relation to the the consistency relations of Inflation. Our results indicate that, while relativistic effects could easily account for 10% of the observed power spectrum, the subset of those with a similar scale dependence to a primordial signal can be safely ignored for current galaxy surveys, but it will become relevant for future observational programs.