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How well can (renormalized) perturbation theory predict dark matter clustering properties?

Niayesh Afshordi*

  • Institute for Theory and Computation, Harvard-Smithsonian Center for Astrophysics, MS-51, 60 Garden Street, Cambridge, Massachusetts 02138, USA

  • *Electronic address: nafshordi@cfa.harvard.edu

Phys. Rev. D 75, 021302(R) – Published 12 January, 2007

DOI: https://doi.org/10.1103/PhysRevD.75.021302

Abstract

There has been some recent activity in trying to understand the dark matter clustering properties in the quasilinear regime, through resummation of perturbative terms, otherwise known as the renormalized perturbation theory [M. Crocce and R. Scoccimarro, Phys. Rev. D 73, 063519 (2006).], or the renormalization group method [P. McDonald, astro-ph/0606028.]. While it is not always clear why such methods should work so well, there is no reason for them to capture nonperturbative events such as shell-crossing. In order to estimate the magnitude of nonperturbative effects, we introduce a (hypothetical) model of sticky dark matter, which only differs from collisionless dark matter in the shell-crossing regime. This enables us to show that the level of nonperturbative effects in the dark matter power spectrum at k0.1Mpc1, which is relevant for baryonic acoustic oscillations, is about a percent, but rises to order unity at k1Mpc1.

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