The reach of next-to-leading-order perturbation theory for the matter bispectrum

Abstract

We provide a comparison between the matter bispectrum derived with different flavours of perturbation theory at next-to-leading order and measurements from an unprecedentedly large suite of $N$-body simulations. We use the ${\chi }^2$ goodness-of-fit test to determine the range of accuracy of the models as a function of the volume covered by subsets of the simulations. We find that models based on the effective-field-theory (EFT) approach have the largest reach, standard perturbation theory has the shortest, and `classical' resummed schemes lie in between. The gain from EFT, however, is less than in previous studies. We show that the estimated range of accuracy of the EFT predictions is heavily influenced by the procedure adopted to fit the amplitude of the counterterms. For the volumes probed by galaxy redshift surveys, our results indicate that it is advantageous to set three counterterms of the EFT bispectrum to zero and measure the fourth from the power spectrum. We also find that large fluctuations in the estimated reach occur between different realisations. We conclude that it is difficult to unequivocally define a range of accuracy for the models containing free parameters. Finally, we approximately account for systematic effects introduced by the $N$-body technique either in terms of a scale- and shape-dependent bias or by boosting the statistical error bars of the measurements (as routinely done in the literature). We find that the latter approach artificially inflates the reach of EFT models due to the presence of tunable parameters.

20 pages, 13 figures

References in corpus (30)

• Transients from Initial Conditions in Cosmological Simulations
• The Effective Field Theory of Cosmological Large Scale Structures
• Resumming Cosmological Perturbations via the Lagrangian Picture: One-loop Results in Real Space and in Redshift Space
• Nonlinear Evolution of Baryon Acoustic Oscillations
• Cosmology and the Bispectrum
• The IR-resummed Effective Field Theory of Large Scale Structures
• A critical look at cosmological perturbation theory techniques
• Generation of Vorticity and Velocity Dispersion by Orbit Crossing
• Flowing with Time: a New Approach to Nonlinear Cosmological Perturbations
• Multi-Point Propagators in Cosmological Gravitational Instability
• Blinded challenge for precision cosmology with large-scale structure: results from effective field theory for the redshift-space galaxy power spectrum
• The Bispectrum in the Effective Field Theory of Large Scale Structure
• Constraining $M_{\nu }$ with the Bispectrum II: The Total Information Content of the Galaxy Bispectrum
• The Three-Point Correlation Function of Luminous Red Galaxies in the Sloan Digital Sky Survey
• Third-Order Density Perturbation and One-Loop Power Spectrum in Dark-Energy-Dominated Universe
• Primordial Non-Gaussianity from Biased Tracers: Likelihood Analysis of Real-Space Power Spectrum and Bispectrum
• Three-Point Correlation Functions of SDSS Galaxies: Luminosity and Color Dependence in Redshift and Projected Space
• Testing one-loop galaxy bias: joint analysis of power spectrum and bispectrum
• On the impact of galaxy bias uncertainties on primordial non-Gaussianity constraints
• Optimizing large-scale structure data analysis with the theoretical error likelihood
• Galaxy redshift-space bispectrum: the Importance of Being Anisotropic
• Cosmological parameters from the likelihood analysis of the galaxy power spectrum and bispectrum in real space
• Information content in the redshift-space galaxy power spectrum and bispectrum
• Simulations of Baryon Acoustic Oscillations I: Growth of Large-Scale Density Fluctuations
• Lagrangian perturbations and the matter bispectrum II: the resummed one-loop correction to the matter bispectrum
• Information Content of Higher-Order Galaxy Correlation Functions
• Geometrical compression: a new method to enhance the BOSS galaxy bispectrum monopole constraints
• Precise Calibration of the One-Loop Bispectrum in the Effective Field Theory of Large Scale Structure
• The squeezed matter bispectrum covariance with responses
• Cross-bispectra Constraints on Modified Gravity Theories from Nancy Grace Roman Space Telescope and Rubin Observatory Legacy Survey of Space and Time

Cited by in corpus (1)

• The Covariance of Squeezed Bispectrum Configurations