A consistency relation for the observed galaxy bispectrum and the local non-Gaussianity from relativistic corrections
We obtain a consistency relation for the observed three-point correlator of galaxies. It includes relativistic effects and it is valid in the squeezed limit. Furthermore, the consistency relation is non-perturbative and can be used at arbitrarily small scales for the short modes. Our results are also useful to compute the non-linear relativistic corrections which induce a signal in the observations that might be misinterpreted as primordial non-Gaussianity with a local shape. We estimate the effective local non-Gaussianity parameter from the relativistic corrections. The exact value depends on the redshift and the magnification bias. At redshift of z=1.5, in the absence of magnification bias, we get f{sup GR}{sub NL} ≅ − 3.0 .
- OSTI ID:
- 22525619
- Journal Information:
- Journal of Cosmology and Astroparticle Physics, Vol. 2015, Issue 08; Other Information: Country of input: International Atomic Energy Agency (IAEA); ISSN 1475-7516
- Country of Publication:
- United States
- Language:
- English
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