Resumming Cosmological Perturbations via the Lagrangian Picture: One-loop Results in Real Space and in Redshift Space

Abstract

We develop a new approach to study the nonlinear evolution in the large-scale structure of the Universe both in real space and in redshift space, extending the standard perturbation theory of gravitational instability. Infinite series of terms in standard Eulerian perturbation theory are resummed as a result of our starting from a Lagrangian description of perturbations. Delicate nonlinear effects on scales of the baryon acoustic oscillations are more accurately described by our method than the standard one. Our approach differs from other resummation techniques recently proposed, such as the renormalized perturbation theory, etc., in that we use simple techniques and thus resulting equations are undemanding to evaluate, and in that our approach is capable of quantifying the nonlinear effects in redshift space. The power spectrum and correlation function of our approach are in good agreement with numerical simulations in literature on scales of baryon acoustic oscillations. Especially, nonlinear effects on the baryon acoustic peak of the correlation function are accurately described both in real space and in redshift space. Our approach provides a unique opportunity to analytically investigate the nonlinear effects on baryon acoustic scales in observable redshift space, which is requisite in constraining the nature of dark energy, the curvature of the Universe, etc., by redshift surveys.

18 pages, 12 figures, replaced to match the published version

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Cited by in corpus (147)

• Clustering of dark matter tracers: generalizing bias for the coming era of precision LSS
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• Testing cosmological structure formation using redshift-space distortions
• The clustering of galaxies in the completed SDSS-III Baryon Oscillation Spectroscopic Survey: Observational systematics and baryon acoustic oscillations in the correlation function
• The clustering of galaxies in the completed SDSS-III Baryon Oscillation Spectroscopic Survey: Baryon Acoustic Oscillations in Fourier-space
• 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
• Understanding higher-order nonlocal halo bias at large scales by combining the power spectrum with the bispectrum
• Large-Scale Anisotropic Correlation Function of SDSS Luminous Red Galaxies
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• Multi-Point Propagators in Cosmological Gravitational Instability
• Primordial non-Gaussianity: large-scale structure signature in the perturbative bias model
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• Nonlinear Perturbation Theory Integrated with Nonlocal Bias, Redshift-space Distortions, and Primordial Non-Gaussianity
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• Modeling scale-dependent bias on the baryonic acoustic scale with the statistics of peaks of Gaussian random fields
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• Simulations of Baryon Acoustic Oscillations II: Covariance matrix of the matter power spectrum
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• Baryon acoustic signature in the clustering of density maxima
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• A marked correlation function for constraining modified gravity models
• Perturbation Theory Reloaded II: Non-linear Bias, Baryon Acoustic Oscillations and Millennium Simulation In Real Space
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• Lagrangian perturbations and the matter bispectrum I: fourth-order model for non-linear clustering
• Cosmological Analysis of Three-Dimensional BOSS Galaxy Clustering and Planck CMB Lensing Cross Correlations via Lagrangian Perturbation Theory
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• Scale Dependent Galaxy Bias in the SDSS as a function of Luminosity and Colour
• Generating Log-normal Mock Catalog of Galaxies in Redshift Space
• The Acoustic Peak in the Lyman Alpha Forest
• Modeling CMB Lensing Cross Correlations with {\sc CLEFT}
• Chasing the non-linear evolution of matter power spectrum with numerical resummation method: solution of closure equations
• Halo Zeldovich model and perturbation theory: dark matter power spectrum and correlation function
• What is the best way to measure baryonic acoustic oscillations?
• Regularized cosmological power spectrum and correlation function in modified gravity models
• FFT-PT: Reducing the two-loop large-scale structure power spectrum to low-dimensional radial integrals
• Perturbation theory approach for the power spectrum: from dark matter in real space to massive haloes in redshift space
• Structure Formation in Modified Gravity Scenarios
• Simulations of Baryon Acoustic Oscillations I: Growth of Large-Scale Density Fluctuations
• Cosmological inference from the EFTofLSS: the eBOSS QSO full-shape analysis
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• Clustering in Massive Neutrino Cosmologies via Eulerian Perturbation Theory
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• Biased Tracers of Two Fluids in the Lagrangian Picture
• Priors on Lagrangian bias parameters from galaxy formation modelling
• Propagators in Lagrangian space
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• The one-loop bispectrum of galaxies in redshift space from the Effective Field Theory of Large-Scale Structure
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• Cosmology inference at the field level from biased tracers in redshift-space
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