Stochastic bias from non-Gaussian initial conditions
- D.A.M.T.P., Cambridge University, Cambridge, CB3 0WA (United Kingdom)
- Princeton University Observatory, Peyton Hall, Ivy Lane, Princeton, NJ 08544 (United States)
- School of Natural Sciences, Institute for Advanced Study, Princeton, NJ 08540 (United States)
In this article, we show that a stochastic form of scale-dependent halo bias arises in multi-source inflationary models, where multiple fields determine the initial curvature perturbation. We derive this effect for general non-Gaussian initial conditions and study various examples, such as curvaton models and quasi-single field inflation. We present a general formula for both the stochastic and the non-stochastic parts of the halo bias, in terms of the N-point cumulants of the curvature perturbation at the end of inflation. At lowest order, the stochasticity arises if the collapsed limit of the four-point function is boosted relative to the square of the three-point function in the squeezed limit. We derive all our results in two ways, using the barrier crossing formalism and the peak-background split method. In a companion paper [1], we prove that these two approaches are mathematically equivalent.
- OSTI ID:
- 22282853
- Journal Information:
- Journal of Cosmology and Astroparticle Physics, Vol. 2013, Issue 05; Other Information: Country of input: International Atomic Energy Agency (IAEA); ISSN 1475-7516
- Country of Publication:
- United States
- Language:
- English
Structure of correlation functions in single-field inflation
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journal | June 2009 |
| Minimizing the stochasticity of halos in large-scale structure surveys | text | January 2010 |
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