The bispectrum of relativistic galaxy number counts

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Published 8 January 2016 © 2016 IOP Publishing Ltd and Sissa Medialab srl
, , Citation Enea Di Dio et al JCAP01(2016)016 DOI 10.1088/1475-7516/2016/01/016

1475-7516/2016/01/016

Abstract

We discuss the dominant terms of the relativistic galaxy number counts to second order in cosmological perturbation theory on sub-Hubble scales and on intermediate to large redshifts. In particular, we determine their contribution to the bispectrum. In addition to the terms already known from Newtonian second order perturbation theory, we find that there are a series of additional `lensing-like' terms which contribute to the bispectrum. We derive analytical expressions for the full leading order bispectrum and we evaluate it numerically for different configurations, indicating how they can be measured with upcoming surveys. In particular, the new `lensing-like' terms are not negligible for wide redshift bins and even dominate the bispectrum at well separated redshifts. This offers us the possibility to measure them in future surveys.

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10.1088/1475-7516/2016/01/016