Constraining higher-order parameters for primordial non-Gaussianities from power spectra and bispectra of imaging surveys

We investigate the statistical power of higher-order statistics and cross-correlation statistics to constrain the primordial non-Gaussianity from the imaging surveys. In particular, we consider the local-type primordial non-Gaussianity and discuss how well one can tightly constrain the higher-order...

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Bibliographic Details
Published in:Physical review. D 2016-05, Vol.93 (10)
Main Authors: Hashimoto, Ichihiko, Taruya, Atsushi, Matsubara, Takahiko, Namikawa, Toshiya, Yokoyama, Shuichiro
Format: Article
Language:English
Subjects:
Clustering
Consistency
Cosmology
Galactic halos
Galaxies
Imaging
Non-Gaussian
Statistics
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Summary:We investigate the statistical power of higher-order statistics and cross-correlation statistics to constrain the primordial non-Gaussianity from the imaging surveys. In particular, we consider the local-type primordial non-Gaussianity and discuss how well one can tightly constrain the higher-order non-Gaussian parameters (g sub(NL) and [tau] sub(NL)) as well as the leading-order parameter f sub(NL) from the halo/galaxy clustering and weak gravitational lensing measurements. Making use of a strong scale-dependent behavior in the galaxy/halo clustering, Fisher matrix analysis reveals that the bispectra can break the degeneracy between non-Gaussian parameters (f sub(NL), g sub(NL) and [tau] sub(NL)), and this will give simultaneous constraints on those three parameters. The combination of cross-correlation statistics further improves the constraints by a factor of 2. As a result, upcoming imaging surveys like the Large Synoptic Survey Telescope have the potential to improve the constraints on the primordial non-Gaussianity much tighter than those obtained from the CMB measurement by Planck, giving us an opportunity to test the single-sourced consistency relation, (ProQuest: Formulae and/or non-USASCII text omitted).
ISSN:2470-0010
2470-0029
DOI:10.1103/PhysRevD.93.103537