Halo/Galaxy Bispectrum with Equilateral-type Primordial Trispectrum

Abstract

We investigate the effect of equilateral-type primordial trispectrum on the halo/galaxy bispectrum. We consider three types of equilateral primordial trispectra which are generated by quartic operators naturally appeared in the effective field theory of inflation and can be characterized by three non-linearity parameters, $g_{\mathrm{NL}}^{{\dot{\sigma }}^4}$, $g_{\mathrm{NL}}^{{\dot{\sigma }}^2(\partial \sigma {)}^2}$, and $g_{\mathrm{NL}}^{(\partial \sigma {)}^4}$. Recently, constraints on these parameters have been investigated from CMB observations by using WMAP9 data. In order to consider the halo/galaxy bispectrum with the equilateral-type primordial trispectra, we adopt the integrated Perturbation Theory (iPT) in which the effects of primordial non-Gaussianity are wholly encapsulated in the linear primordial polyspectrum for the evaluation of the biased polyspectrum. We show the shapes of the halo/galaxy bispectrum with the equilateral-type primordial trispectra, and find that the primordial trispectrum characterized by $g_{\mathrm{NL}}^{{\dot{\sigma }}^4}$ provides the same scale-dependence as the gravity-induced halo/galaxy bispectrum. Hence, it would be difficult to obtain the constraint on $g_{\mathrm{NL}}^{{\dot{\sigma }}^4}$ from the observations of the halo/galaxy bispectrum. On the other hand, the primordial trispectra characterized by $g_{\mathrm{NL}}^{{\dot{\sigma }}^2(\partial \sigma {)}^2}$ and $g_{\mathrm{NL}}^{(\partial \sigma {)}^4}$ provide the common scale-dependence which is different from that of the gravity-induced halo/galaxy bispectrum on large scales. Hence future observations of halo/galaxy bispectrum would give constraints on the non-linearity parameters, $g_{\mathrm{NL}}^{{\dot{\sigma }}^2(\partial \sigma {)}^2}$ and $g_{\mathrm{NL}}^{(\partial \sigma {)}^4}$ independently from CMB observations and it is expected that these constraints can be comparable to ones obtained by CMB.

15 pages, 6 figures

References in corpus (16)

• The Effective Field Theory of Inflation
• The imprints of primordial non-gaussianities on large-scale structure: scale dependent bias and abundance of virialized objects
• The bispectrum of galaxies from high-redshift galaxy surveys: primordial non-Gaussianity and non-linear galaxy bias
• The Inflationary Trispectrum for Models with Large Non-Gaussianities
• Nonlinear Perturbation Theory Integrated with Nonlocal Bias, Redshift-space Distortions, and Primordial Non-Gaussianity
• Primordial non-Gaussianity, scale-dependent bias, and the bispectrum of galaxies
• Large non-Gaussianities in the Effective Field Theory Approach to Single-Field Inflation: the Trispectrum
• A Naturally Large Four-Point Function in Single Field Inflation
• On the full quantum trispectrum in multi-field DBI inflation
• Lorentz boost and non-Gaussianity in multi-field DBI-inflation
• Constraining primordial non-Gaussianity via a multitracer technique with surveys by Euclid and Square Kilometre Array
• Primordial Trispectrum from Entropy Perturbations in Multifield DBI Model
• Dark matter and halo bispectrum in redshift space: theory and applications
• A Study of High-Order Non-Gaussianity with Applications to Massive Clusters and Large Voids
• Non-Gaussianity from Lifshitz Scalar
• On primordial trispectrum from exchanging scalar modes in general multiple field inflationary models