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

A. Kehagias, A. Moradinezhad Dizgah, JORGE IVAN NOREÑA SANCHEZ, H. Perrier, A. Riotto

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24 Scopus citations

Abstract

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 fGR NL σ - 3.0 .

Original languageEnglish
Article number018
JournalJournal of Cosmology and Astroparticle Physics
Volume2015
Issue number8
DOIs
StatePublished - 1 Aug 2015

Keywords

  • galaxy clustering
  • gravity
  • redshift surveys

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