Non-Gaussian Enhancements of Galactic Halo Correlations in Quasi-Single Field Inflation

Abstract

We consider a quasi-single field inflation model in which the inflaton interacts with a massive scalar field called the isocurvaton. Due to the breaking of time translational invariance by the inflaton background, these interactions induce kinetic mixing between the inflaton and isocurvaton, which is parameterized by a constant $\mu$. We derive analytic formulae for the curvature perturbation two-, three-, four-, five-, and six-point functions explicitly in terms of the external wave-vectors in the limit where $\mu$ and the mass of the isocurvaton $m$ are both much smaller than $H$. In previous work, it has been noted that when $m/H$ and $\mu /H$ are small, the non-Gaussianities predicted by quasi-single field inflation give rise to long wavelength enhancements of the power spectrum for biased objects (e.g., galactic halos). We review this calculation, and calculate the analogous enhanced contribution to the bispectrum of biased objects. We determine the scale at which these enhanced terms are larger than the Gaussian piece. We also identify the scaling of these enhanced parts to the $n$-point function of biased objects.

arXiv comment32 pages, 14 figures

References in corpus (17)

• Planck 2015 results. XIII. Cosmological parameters
• Non-Gaussian features of primordial fluctuations in single field inflationary models
• The Effective Field Theory of Inflation
• Quantum Contributions to Cosmological Correlations
• The imprints of primordial non-gaussianities on large-scale structure: scale dependent bias and abundance of virialized objects
• Quasi-Single Field Inflation and Non-Gaussianities
• The clustering of galaxies in the completed SDSS-III Baryon Oscillation Spectroscopic Survey: Anisotropic galaxy clustering in Fourier-space
• On Soft Limits of Inflationary Correlation Functions
• The power spectrum and bispectrum of SDSS DR11 BOSS galaxies I: bias and gravity
• Biased Tracers and Time Evolution
• Effects and Detectability of Quasi-Single Field Inflation in the Large-Scale Structure and Cosmic Microwave Background
• Stochastic Bias from Non-Gaussian Initial Conditions
• Planck-Suppressed Operators
• Scale-Dependent Galaxy Bias from Massive Particles with Spin during Inflation
• Biasing and the search for primordial non-Gaussianity beyond the local type
• Non-local bias in the halo bispectrum with primordial non-Gaussianity
• Halo/Galaxy Bispectrum with Equilateral-type Primordial Trispectrum

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