Deriving an Accurate Formula of Scale-dependent Bias with Primordial Non-Gaussianity: An Application of the Integrated Perturbation Theory

Abstract

We apply the integrated perturbation theory (Matsubara 2011, PRD 83, 083518) to evaluate the scale-dependent bias in the presence of primordial non-Gaussianity. The integrated perturbation theory is a general framework of nonlinear perturbation theory, in which a broad class of bias models can be incorporated into perturbative evaluations of biased power spectrum and higher-order polyspectra. Approximations such as the high-peak limit or the peak-background split are not necessary to derive the scale-dependent bias in this framework. Applying the halo approach, previously known formulas are re-derived as limiting cases of a general formula in this work, and it is implied that modifications should be made in general situations. Effects of redshift-space distortions are straightforwardly incorporated. It is found that the slope of the scale-dependent bias on large scales is determined only by the behavior of primordial bispectrum in the squeezed limit, and is not sensitive to bias models in general. It is the amplitude of scale-dependent bias that is sensitive to the bias models. The effects of redshift-space distortions turn out to be quite small for the monopole component of the power spectrum, while the quadrupole component is proportional to the monopole component on large scales, and thus also sensitive to the primordial non-Gaussianity.

18 pages, 11 figures

References in corpus (15)

• The imprints of primordial non-gaussianities on large-scale structure: scale dependent bias and abundance of virialized objects
• Primordial Non-Gaussianities from Inflation Models
• Resumming Cosmological Perturbations via the Lagrangian Picture: One-loop Results in Real Space and in Redshift Space
• Gravity and Large-Scale Non-local Bias
• Primordial non-gaussianity, statistics of collapsed objects, and the Integrated Sachs-Wolfe effect
• Multi-Point Propagators in Cosmological Gravitational Instability
• Primordial non-Gaussianity: large-scale structure signature in the perturbative bias model
• 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
• Signature of Primordial Non-Gaussianity on Matter Power Spectrum
• Lagrangian perturbations and the matter bispectrum I: fourth-order model for non-linear clustering
• Scale-dependent bias from primordial non-Gaussianity in general relativity
• Primordial Non-Gaussianity and the NRAO VLA Sky Survey
• Constraining Primordial Non-Gaussianity with High-Redshift Probes
• Multi-Point Propagators for Non-Gaussian Initial Conditions

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