Next-to-leading resummations in cosmological perturbation theory

Abstract

One of the nicest results in cosmological perturbation theory is the analytical resummaton of the leading corrections at large momentum, which was obtained by Crocce and Scoccimarro for the propagator. Using an exact evolution equation, we generalize this result, by showing that a class of next-to-leading corrections can also be resummed at all orders in perturbation theory. The new corrections modify the propagator by a few percent in the Baryonic Acoustic Oscillation range of scales, and therefore cannot be neglected in resummation schemes aiming at an accuracy compatible with future generation galaxy surveys. Similar tools can be employed to derive improved approximations for the Power Spectrum.

29 pages, 18 figures. Accepted for publication in JCAP

References in corpus (10)

• Resumming Cosmological Perturbations via the Lagrangian Picture: One-loop Results in Real Space and in Redshift Space
• Nonlinear Evolution of Baryon Acoustic Oscillations
• A critical look at cosmological perturbation theory techniques
• Flowing with Time: a New Approach to Nonlinear Cosmological Perturbations
• Multi-Point Propagators in Cosmological Gravitational Instability
• Dark matter clustering: a simple renormalization group approach
• Large-N expansions applied to gravitational clustering
• Baryonic Acoustic Oscillations via the Renormalization Group
• Chasing the non-linear evolution of matter power spectrum with numerical resummation method: solution of closure equations
• Multi-Point Propagators for Non-Gaussian Initial Conditions

Cited by in corpus (29)

• Galilean invariance and the consistency relation for the nonlinear squeezed bispectrum of large scale structure
• The clustering of galaxies in the SDSS-III Baryon Oscillation Spectroscopic Survey: cosmological constraints from the full shape of the clustering wedges
• Coarse-Grained Cosmological Perturbation Theory
• Constructing Regularized Cosmic Propagators
• MPTbreeze: A fast renormalized perturbative scheme
• Ward identities and consistency relations for the large scale structure with multiple species
• Nonlinear Power Spectrum from Resummed Perturbation Theory: a Leap Beyond the BAO Scale
• Angular averaged consistency relations of large-scale structures
• Cosmic propagators at two-loop order
• Combining perturbation theories with halo models for the matter bispectrum
• Large-scale structure perturbation theory without losing stream crossing
• Cosmic Structure Formation with Kinetic Field Theory
• Non-linear dark energy clustering
• Kinetic Field Theory: Effects of momentum correlations on the cosmic density-fluctuation power spectrum
• Cosmological Vlasov-Poisson equations for dark matter: Recent developments and connections to selected plasma problems
• The dark matter dispersion tensor in perturbation theory
• Galilean invariant resummation schemes of cosmological perturbations
• Weak lensing probe of cubic Galileon model
• Evolution Equation for Non-linear Cosmological Perturbations
• Evolution of dark matter velocity dispersion
• Nonlinear effects of dark energy clustering beyond the acoustic scales
• Simulating the Anisotropic Clustering of Luminous Red Galaxies with Subhalos: A Direct Confrontation with Observation and Cosmological Implications
• Probing dark energy using convergence power spectrum and bi-spectrum
• Renormalizing a Viscous Fluid Model for Large Scale Structure Formation
• Kinetic Field Theory for Cosmic Structure Formation
• Dark matter vorticity and velocity dispersion from truncated Dyson$\unicode{x2013}$Schwinger equations
• Nonlinear power spectrum in clustering and smooth dark energy models beyond the BAO scale
• Cosmological functional renormalisation group, extended Galilean invariance and the sweeping effect
• Large-k Limit of Multi-Point Propagators in the RG Formalism