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Title: Efficient exploration of cosmology dependence in the EFT of LSS

Abstract

The most effective use of data from current and upcoming large scale structure (LSS) and CMB observations requires the ability to predict the clustering of LSS with very high precision. The Effective Field Theory of Large Scale Structure (EFTofLSS) provides an instrument for performing analytical computations of LSS observables with the required precision in the mildly nonlinear regime. In this paper, we develop efficient implementations of these computations that allow for an exploration of their dependence on cosmological parameters. They are based on two ideas. First, once an observable has been computed with high precision for a reference cosmology, for a new cosmology the same can be easily obtained with comparable precision just by adding the difference in that observable, evaluated with much less precision. Second, most cosmologies of interest are sufficiently close to the Planck best-fit cosmology that observables can be obtained from a Taylor expansion around the reference cosmology. These ideas are implemented for the matter power spectrum at two loops and are released as public codes. When applied to cosmologies that are within 3σ of the Planck best-fit model, the first method evaluates the power spectrum in a few minutes on a laptop, with results that havemore » 1% or better precision, while with the Taylor expansion the same quantity is instantly generated with similar precision. Finally, the ideas and codes we present may easily be extended for other applications or higher-precision results.« less

Authors:
 [1];  [2];  [2]
  1. Univ. of Copenhagen, Copenhagen (Denmark)
  2. Stanford Univ., Stanford, CA (United States); SLAC National Accelerator Lab., Menlo Park, CA (United States)
Publication Date:
Research Org.:
SLAC National Accelerator Lab., Menlo Park, CA (United States); Stanford Univ., CA (United States)
Sponsoring Org.:
USDOE Office of Science (SC), High Energy Physics (HEP) (SC-25)
OSTI Identifier:
1368575
Alternate Identifier(s):
OSTI ID: 1491168
Grant/Contract Number:  
AC02-76SF00515; SC0008078
Resource Type:
Accepted Manuscript
Journal Name:
Journal of Cosmology and Astroparticle Physics
Additional Journal Information:
Journal Volume: 2017; Journal Issue: 04; Journal ID: ISSN 1475-7516
Publisher:
Institute of Physics (IOP)
Country of Publication:
United States
Language:
English
Subject:
79 ASTRONOMY AND ASTROPHYSICS; cosmological parameters from LSS; cosmological perturbation theory; power spectrum; cosmological simulations

Citation Formats

Cataneo, Matteo, Foreman, Simon, and Senatore, Leonardo. Efficient exploration of cosmology dependence in the EFT of LSS. United States: N. p., 2017. Web. doi:10.1088/1475-7516/2017/04/026.
Cataneo, Matteo, Foreman, Simon, & Senatore, Leonardo. Efficient exploration of cosmology dependence in the EFT of LSS. United States. doi:10.1088/1475-7516/2017/04/026.
Cataneo, Matteo, Foreman, Simon, and Senatore, Leonardo. Tue . "Efficient exploration of cosmology dependence in the EFT of LSS". United States. doi:10.1088/1475-7516/2017/04/026. https://www.osti.gov/servlets/purl/1368575.
@article{osti_1368575,
title = {Efficient exploration of cosmology dependence in the EFT of LSS},
author = {Cataneo, Matteo and Foreman, Simon and Senatore, Leonardo},
abstractNote = {The most effective use of data from current and upcoming large scale structure (LSS) and CMB observations requires the ability to predict the clustering of LSS with very high precision. The Effective Field Theory of Large Scale Structure (EFTofLSS) provides an instrument for performing analytical computations of LSS observables with the required precision in the mildly nonlinear regime. In this paper, we develop efficient implementations of these computations that allow for an exploration of their dependence on cosmological parameters. They are based on two ideas. First, once an observable has been computed with high precision for a reference cosmology, for a new cosmology the same can be easily obtained with comparable precision just by adding the difference in that observable, evaluated with much less precision. Second, most cosmologies of interest are sufficiently close to the Planck best-fit cosmology that observables can be obtained from a Taylor expansion around the reference cosmology. These ideas are implemented for the matter power spectrum at two loops and are released as public codes. When applied to cosmologies that are within 3σ of the Planck best-fit model, the first method evaluates the power spectrum in a few minutes on a laptop, with results that have 1% or better precision, while with the Taylor expansion the same quantity is instantly generated with similar precision. Finally, the ideas and codes we present may easily be extended for other applications or higher-precision results.},
doi = {10.1088/1475-7516/2017/04/026},
journal = {Journal of Cosmology and Astroparticle Physics},
number = 04,
volume = 2017,
place = {United States},
year = {2017},
month = {4}
}

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