A consistency relation for the observed galaxy bispectrum and the local non-Gaussianity from relativistic corrections

Journal Article · Sat Aug 01 00:00:00 EDT 2015 · Journal of Cosmology and Astroparticle Physics

DOI:https://doi.org/10.1088/1475-7516/2015/08/018· OSTI ID:22525619

Kehagias, A.; Dizgah, A. Moradinezhad; Noreña, J.; Perrier, H.

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

Related Subjects

79 ASTROPHYSICS
COSMOLOGY AND ASTRONOMY
CORRECTIONS
DISTURBANCES
GALAXIES
NONLINEAR PROBLEMS
RED SHIFT
RELATIVISTIC RANGE