Large-scale 3D galaxy correlation function and non-Gaussianity

Alvise Raccanelli, Daniele Bertacca, Olivier Dore, Roy Maartens

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Abstract

We investigate the properties of the 2-point galaxy correlation function at very large scales, including all geometric and local relativistic effects - - wide-angle effects, redshift space distortions, Doppler terms and Sachs-Wolfe type terms in the gravitational potentials. The general three-dimensional correlation function has a nonzero dipole and octupole, in addition to the even multipoles of the flat-sky limit. We study how corrections due to primordial non-Gaussianity and General Relativity affect the multipolar expansion, and we show that they are of similar magnitude (when fNL is small), so that a relativistic approach is needed. Furthermore, we look at how large-scale corrections depend on the model for the growth rate in the context of modified gravity, and we discuss how a modified growth can affect the non-Gaussian signal in the multipoles.

Original languageEnglish
Article number022
Pages (from-to)022
JournalJournal of Cosmology and Astroparticle Physics
Volume2014
Issue number8
Early online date11 Aug 2014
DOIs
Publication statusPublished - Aug 2014

Keywords

  • cosmological parameters from LSS
  • gravity
  • power spectrum
  • redshift surveys
  • RCUK
  • STFC
  • ST/H002774/1 & ST/K0090X/1

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