A Consistency Relation for the Observed Galaxy Bispectrum and the Local non-Gaussianity from Relativistic Corrections

Autor: Kehagias, A., Dizgah, A. Moradinezhad, Noreña, J., Perrier, H., Riotto, A.
Rok vydání: 2015
Předmět:
Druh dokumentu: Working Paper
DOI: 10.1088/1475-7516/2015/08/018
Popis: 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$, in the absence of magnification bias, we get $\,\, f^{\rm GR}_{\rm NL} \simeq - 3.7 $.
Comment: 18 pages, 2 figures
Databáze: arXiv