Halo/Galaxy Bispectrum with Primordial non-Gaussianity from integrated Perturbation Theory (iPT)

Abstract

We derive a formula for the halo/galaxy bispectrum on the basis of the integrated Perturbation Theory (iPT). In addition to the gravity-induced non-Gaussianity, we consider the non-Gaussianity of the primordial curvature perturbations, and investigate in detail the effect of such primordial non-Gaussianity on the large-scale halo/galaxy bispectrum. In iPT, the effects of primordial non-Gaussianity are wholly encapsulated in the linear (primordial) polyspectra, and we systematically calculate the contributions to the large-scale behaviors arising from the three types of primordial bispectrum (local-, equilateral-, and orthogonal-types), and primordial trispectrum of the local-type non-Gaussianity. We find that the equilateral- and orthogonal-type non-Gaussianities show distinct scale-dependent behaviors which can dominate the gravity-induced non-Gaussianity at very large scales. For the local-type non-Gaussianity, higher-order loop corrections are found to give a significantly large contribution to the halo/galaxy bispectrum of the squeezed shape, and eventually dominate over the other contributions on large scales. A diagrammatic approach based on the iPT helps us to systematically investigate an impact of such higher-order contributions to the large-scale halo/galaxy bispectrum.

23 pages, 17 figures, accepted for publication in PRD

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Cited by in corpus (16)

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• The Hunt for Primordial Interactions in the Large Scale Structures of the Universe
• The Covariance of Squeezed Bispectrum Configurations
• Multitracer technique for galaxy bispectrum - An application to constraints on non-local primordial non-Gaussianities -
• Non-local bias in the halo bispectrum with primordial non-Gaussianity
• Primordial non-Gaussianity in the bispectra of large-scale structure
• Primordial power spectrum features in phenomenological descriptions of inflation
• Higher multipoles of the galaxy bispectrum in redshift space
• An analytic halo approach to the bispectrum of galaxies in redshift space
• Imprints of local lightcone projection effects on the galaxy bispectrum IV: Second-order vector and tensor contributions
• Cosmology with the Square Kilometre Array by SKA-Japan
• Constraining higher-order parameters for primordial non-Gaussianities from power spectra and bispectra of imaging survey
• Halo/Galaxy Bispectrum with Equilateral-type Primordial Trispectrum
• Constraining equilateral-type primordial non-Gaussianities from imaging surveys
• Generalized local ansatz for scale-dependent primordial non-Gaussianities and future galaxy surveys