Redshift Space Distortions in the Effective Field Theory of Large Scale Structures

Abstract

We introduce a formalism, valid both for dark matter and collapsed objects, that allows us to describe redshift space distortions in the context of the Effective Field Theory of Large Scale Structures (EFTofLSS). Expressing density perturbations in redshift space corresponds to performing a change of coordinates and the resulting expressions contain products of density perturbations and velocity fields evaluated at the same location. These terms are sensitive to non-perturbative short-distance physics and in order to correctly treat them they need to be renormalized by adding suitable counterterms. Therefore more counterterms are required in redshift space expressions compared to their real space analogs. In particular in the expression for the one-loop matter power spectrum there are two new counterterms. Just as in real space, long wavelength displacements affect correlation functions in redshift space and need to be resummed. We generalize the real space formulas for IR resummation to this case: the final expressions are conceptually similar but are more challenging to compute numerically due to their reduced symmetry.

21 pages

References in corpus (2)

• Resumming Cosmological Perturbations via the Lagrangian Picture: One-loop Results in Real Space and in Redshift Space
• The Bispectrum in the Effective Field Theory of Large Scale Structure

Cited by in corpus (32)

• The CosmoVerse White Paper: Addressing observational tensions in cosmology with systematics and fundamental physics
• Analytic Prediction of Baryonic Effects from the EFT of Large Scale Structures
• BOSS Correlation Function Analysis from the Effective Field Theory of Large-Scale Structure
• Precision analysis of the redshift-space galaxy bispectrum
• Unified galaxy power spectrum measurements from 6dFGS, BOSS, and eBOSS
• The BOSS bispectrum analysis at one loop from the Effective Field Theory of Large-Scale Structure
• DESI 2024 V: Full-Shape Galaxy Clustering from Galaxies and Quasars
• Cosmological constraints without fingers of God
• The Effective Field Theory of Large-Scale Structure in the presence of Massive Neutrinos
• Constraints on modified gravity from the BOSS galaxy survey
• Cosmological inference from the EFTofLSS: the eBOSS QSO full-shape analysis
• Updating non-standard neutrinos properties with Planck-CMB data and full-shape analysis of BOSS and eBOSS galaxies
• The one-loop bispectrum of galaxies in redshift space from the Effective Field Theory of Large-Scale Structure
• $\mathrm{S}\mathrm{IM}\mathrm{BIG}$: Mock Challenge for a Forward Modeling Approach to Galaxy Clustering
• Analytic Gaussian Covariance Matrices for Galaxy $N$-Point Correlation Functions
• Taming redshift-space distortion effects in the EFTofLSS and its application to data
• Cosmological constraints on early dark energy from the full shape analysis of eBOSS DR16
• BOSS full-shape analysis from the EFTofLSS with exact time dependence
• Cosmology from weak lensing alone and implications for the Hubble tension
• Neutrino masses from large-scale structures: future sensitivity and theory dependence
• Cosmological Probes of Structure Growth and Tests of Gravity
• An Inventory of Bispectrum Estimators for Redshift Space Distortions
• Exploring neutrino interactions in light of present and upcoming galaxy surveys
• Towards an accurate model of small-scale redshift-space distortions in modified gravity
• Reducing nuisance prior sensitivity via non-linear reparameterization, with application to EFT analyses of large-scale structure
• Cosmological constraints from the EFT power spectrum and tree-level bispectrum of 21cm intensity maps
• Constraining Ultralight Axions with Galaxy Surveys
• Testing the assumptions of the Effective Field Theory of Large-Scale Structure
• DESI forecast for Dark Matter-Neutrino interactions using EFTofLSS
• Calculating the EFT likelihood via saddle-point expansion
• A semi-analytic estimate for the effective sound speed counterterm in the EFTofLSS
• Large scale structures: from inflation to today: a brief report