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

Journal Article · · Journal of Cosmology and Astroparticle Physics
 [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)

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.

Research Organization:
SLAC National Accelerator Laboratory (SLAC), Menlo Park, CA (United States)
Sponsoring Organization:
USDOE Office of Science (SC)
Grant/Contract Number:
AC02-76SF00515
OSTI ID:
1270632
Report Number(s):
SLAC-PUB-16653; arXiv:1406.4143
Journal Information:
Journal of Cosmology and Astroparticle Physics, Vol. 2015, Issue 10; ISSN 1475-7516
Publisher:
Institute of Physics (IOP)Copyright Statement
Country of Publication:
United States
Language:
English
Citation Metrics:
Cited by: 79 works
Citation information provided by
Web of Science

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Cited By (25)

Bias in the effective field theory of large scale structures journal November 2015
Effective theory of large-scale structure with primordial non-Gaussianity journal November 2015
On the reach of perturbative descriptions for dark matter displacement fields journal March 2016
Perturbation theory, effective field theory, and oscillations in the power spectrum journal March 2016
Precision comparison of the power spectrum in the EFTofLSS with simulations journal May 2016
The trispectrum in the Effective Field Theory of Large Scale Structure journal June 2016
Principal shapes and squeezed limits in the effective field theory of large scale structure journal November 2016
Efficient exploration of cosmology dependence in the EFT of LSS journal April 2017
DEMNUni: massive neutrinos and the bispectrum of large scale structures journal March 2018
Dark energy and modified gravity in the Effective Field Theory of Large-Scale Structure journal April 2018
Cosmological perturbation theory using the FFTLog: formalism and connection to QFT loop integrals journal April 2018
Lensing reconstruction from line intensity maps: the impact of gravitational nonlinearity journal July 2018
The effective field theory of large scale structure at three loops journal November 2019
Measuring neutrino masses with large-scale structure: Euclid forecast with controlled theoretical error journal November 2019
Matter bispectrum of large-scale structure: Three-dimensional comparison between theoretical models and numerical simulations journal April 2016
EFT of large scale structures in redshift space journal March 2018
The effective field theory of large scale structure at three loops text January 2019
The Effective Field Theory of Large Scale Structure at Three Loops text January 2019
Precision Comparison of the Power Spectrum in the EFTofLSS with Simulations text January 2015
Perturbation theory, effective field theory, and oscillations in the power spectrum text January 2015
Principal Shapes and Squeezed Limits in the Effective Field Theory of Large Scale Structure text January 2016
Cosmological Perturbation Theory Using the FFTLog: Formalism and Connection to QFT Loop Integrals text January 2017
DEMNUni: Massive neutrinos and the bispectrum of large scale structures text January 2017
Dark Energy and Modified Gravity in the Effective Field Theory of Large-Scale Structure text January 2017
The Effective Field Theory of Large Scale Structure at Three Loops text January 2019

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