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Title: The one-loop matter bispectrum in the Effective Field Theory of Large Scale Structures

Abstract

With this study, given the importance of future large scale structure surveys for delivering new cosmological information, it is crucial to reliably predict their observables. The Effective Field Theory of Large Scale Structures (EFTofLSS) provides a manifestly convergent perturbative scheme to compute the clustering of dark matter in the weakly nonlinear regime in an expansion in k/kNL, where k is the wavenumber of interest and kNL is the wavenumber associated to the nonlinear scale. It has been recently shown that the EFTofLSS matches to 1% level the dark matter power spectrum at redshift zero up to k ≃ 0.3 h Mpc–1 and k ≃ 0.6 h Mpc–1 at one and two loops respectively, using only one counterterm that is fit to data. Similar results have been obtained for the momentum power spectrum at one loop. This is a remarkable improvement with respect to former analytical techniques. Here we study the prediction for the equal-time dark matter bispectrum at one loop. We find that at this order it is sufficient to consider the same counterterm that was measured in the power spectrum. Without any remaining free parameter, and in a cosmology for which kNL is smaller than in the previously consideredmore » cases (σ8=0.9), we find that the prediction from the EFTofLSS agrees very well with N-body simulations up to k ≃ 0.25 h Mpc–1, given the accuracy of the measurements, which is of order a few percent at the highest k's of interest. While the fit is very good on average up to k ≃ 0.25 h Mpc–1, the fit performs slightly worse on equilateral configurations, in agreement with expectations that for a given maximum k, equilateral triangles are the most nonlinear.« less

Authors:
 [1];  [2];  [3];  [2]
  1. Centro de Estudios de Fisica del Cosmos de Aragon, Teruel (Spain)
  2. Stanford Univ., Stanford, CA (United States); SLAC National Accelerator Lab., Menlo Park, CA (United States)
  3. Univ. of California, Berkeley, CA (United States); Lawrence Berkeley National Lab. (LBNL), Berkeley, CA (United States)
Publication Date:
Research Org.:
SLAC National Accelerator Lab., Menlo Park, CA (United States)
Sponsoring Org.:
USDOE Office of Science (SC)
OSTI Identifier:
1270632
Report Number(s):
SLAC-PUB-16653
Journal ID: ISSN 1475-7516; arXiv:1406.4143
Grant/Contract Number:  
AC02-76SF00515
Resource Type:
Accepted Manuscript
Journal Name:
Journal of Cosmology and Astroparticle Physics
Additional Journal Information:
Journal Volume: 2015; Journal Issue: 10; Journal ID: ISSN 1475-7516
Publisher:
Institute of Physics (IOP)
Country of Publication:
United States
Language:
English
Subject:
79 ASTRONOMY AND ASTROPHYSICS; astrophysics; gravitation and cosmology; phenomenology-HEP; theory-HEP; ASTRO; cosmological perturbation theory; power spectrum; cosmic web; cosmological parameters from LSS

Citation Formats

Angulo, Raul E., Foreman, Simon, Schmittfull, Marcel, and Senatore, Leonardo. The one-loop matter bispectrum in the Effective Field Theory of Large Scale Structures. United States: N. p., 2015. Web. doi:10.1088/1475-7516/2015/10/039.
Angulo, Raul E., Foreman, Simon, Schmittfull, Marcel, & Senatore, Leonardo. The one-loop matter bispectrum in the Effective Field Theory of Large Scale Structures. United States. doi:10.1088/1475-7516/2015/10/039.
Angulo, Raul E., Foreman, Simon, Schmittfull, Marcel, and Senatore, Leonardo. Wed . "The one-loop matter bispectrum in the Effective Field Theory of Large Scale Structures". United States. doi:10.1088/1475-7516/2015/10/039. https://www.osti.gov/servlets/purl/1270632.
@article{osti_1270632,
title = {The one-loop matter bispectrum in the Effective Field Theory of Large Scale Structures},
author = {Angulo, Raul E. and Foreman, Simon and Schmittfull, Marcel and Senatore, Leonardo},
abstractNote = {With this study, given the importance of future large scale structure surveys for delivering new cosmological information, it is crucial to reliably predict their observables. The Effective Field Theory of Large Scale Structures (EFTofLSS) provides a manifestly convergent perturbative scheme to compute the clustering of dark matter in the weakly nonlinear regime in an expansion in k/kNL, where k is the wavenumber of interest and kNL is the wavenumber associated to the nonlinear scale. It has been recently shown that the EFTofLSS matches to 1% level the dark matter power spectrum at redshift zero up to k ≃ 0.3 h Mpc–1 and k ≃ 0.6 h Mpc–1 at one and two loops respectively, using only one counterterm that is fit to data. Similar results have been obtained for the momentum power spectrum at one loop. This is a remarkable improvement with respect to former analytical techniques. Here we study the prediction for the equal-time dark matter bispectrum at one loop. We find that at this order it is sufficient to consider the same counterterm that was measured in the power spectrum. Without any remaining free parameter, and in a cosmology for which kNL is smaller than in the previously considered cases (σ8=0.9), we find that the prediction from the EFTofLSS agrees very well with N-body simulations up to k ≃ 0.25 h Mpc–1, given the accuracy of the measurements, which is of order a few percent at the highest k's of interest. While the fit is very good on average up to k ≃ 0.25 h Mpc–1, the fit performs slightly worse on equilateral configurations, in agreement with expectations that for a given maximum k, equilateral triangles are the most nonlinear.},
doi = {10.1088/1475-7516/2015/10/039},
journal = {Journal of Cosmology and Astroparticle Physics},
number = 10,
volume = 2015,
place = {United States},
year = {2015},
month = {10}
}

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    The effective field theory of large scale structure at three loops
    journal, November 2019

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    • Journal of Cosmology and Astroparticle Physics, Vol. 2019, Issue 11
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