Large-scale 3D galaxy correlation function and non-Gaussianity
arXiv:1306.6646 · doi:10.1088/1475-7516/2014/08/022
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 f_NL 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.
13 pages, 11 figures. Matches version published on JCAP
References in corpus (9)
- The imprints of primordial non-gaussianities on large-scale structure: scale dependent bias and abundance of virialized objects
- New Perspective on Galaxy Clustering as a Cosmological Probe: General Relativistic Effects
- Halo Stochasticity from Exclusion and non-linear Clustering
- Testing General Relativity with 21 cm intensity mapping
- Cosmology on Ultralarge Scales with Intensity Mapping of the Neutral Hydrogen 21 cm Emission: Limits on Primordial Non-Gaussianity
- Constraining Primordial Non-Gaussianity with High-Redshift Probes
- A new method for the Alcock-Paczynski test
- Relativistic corrections and non-Gaussianity in radio continuum surveys
- Clustering of quintessence on horizon scales and its imprint on HI intensity mapping
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