The effective field theory of cosmological large scale structures
 John Joseph M. Carrasco,
 Mark P. Hertzberg,
 Leonardo Senatore
 … show all 3 hide
Abstract
Large scale structure surveys will likely become the next leading cosmological probe. In our universe, matter perturbations are large on short distances and small at long scales, i.e. strongly coupled in the UV and weakly coupled in the IR. To make precise analytical predictions on large scales, we develop an effective field theory formulated in terms of an IR effective fluid characterized by several parameters, such as speed of sound and viscosity. These parameters, determined by the UV physics described by the Boltzmann equation, are measured from Nbody simulations. We find that the speed of sound of the effective fluid is \( c_s^2 \approx {1}{0^{{  {6}}}}{c^{2}} \) and that the viscosity contributions are of the same order. The fluid describes all the relevant physics at long scales k and permits a manifestly convergent perturbative expansion in the size of the matter perturbations δ(k) for all the observables. As an example, we calculate the correction to the power spectrum at order δ(k)^{4}. The predictions of the effective field theory are found to be in much better agreement with observation than standard cosmological perturbation theory, already reaching percent precision at this order up to a relatively short scale k ⋍ 0.24h Mpc^{−1}.
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 Title
 The effective field theory of cosmological large scale structures
 Open Access
 Available under Open Access This content is freely available online to anyone, anywhere at any time.
 Journal

Journal of High Energy Physics
2012:82
 Online Date
 September 2012
 DOI
 10.1007/JHEP09(2012)082
 Online ISSN
 10298479
 Publisher
 SpringerVerlag
 Additional Links
 Topics
 Keywords

 Cosmology of Theories beyond the SM
 Stochastic Processes
 Renormalization Regularization and Renormalons
 Industry Sectors
 Authors

 John Joseph M. Carrasco ^{(1)}
 Mark P. Hertzberg ^{(1)} ^{(2)}
 Leonardo Senatore ^{(1)} ^{(2)}
 Author Affiliations

 1. Stanford Institute for Theoretical Physics and Department of Physics, Stanford University, Stanford, CA, 94306, U.S.A.
 2. Kavli Institute for Particle Astrophysics and Cosmology, Stanford University and SLAC, Menlo Park, CA, 94025, U.S.A.