Dark Energy and Modified Gravity in the Effective Field Theory of Large-Scale Structure

Abstract

We develop an approach to compute observables beyond the linear regime of dark matter perturbations for general dark energy and modified gravity models. We do so by combining the Effective Field Theory of Dark Energy and Effective Field Theory of Large-Scale Structure approaches. In particular, we parametrize the linear and nonlinear effects of dark energy on dark matter clustering in terms of the Lagrangian terms introduced in a companion paper, focusing on Horndeski theories and assuming the quasi-static approximation. The Euler equation for dark matter is sourced, via the Newtonian potential, by new nonlinear vertices due to modified gravity and, as in the pure dark matter case, by the effects of short-scale physics in the form of the divergence of an effective stress tensor. The effective fluid introduces a counterterm in the solution to the matter continuity and Euler equations, which allows a controlled expansion of clustering statistics on mildly nonlinear scales. We use this setup to compute the one-loop dark-matter power spectrum.

v3: typo fixed

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Cited by in corpus (42)

• The Cosmological Analysis of the SDSS/BOSS data from the Effective Field Theory of Large-Scale Structure
• Dark Energy and Modified Gravity in Degenerate Higher-Order Scalar-Tensor (DHOST) theories: a review
• Effective Field Theory of Dark Energy: a Review
• Dark Energy in light of Multi-Messenger Gravitational-Wave astronomy
• Blinded challenge for precision cosmology with large-scale structure: results from effective field theory for the redshift-space galaxy power spectrum
• Efficient Cosmological Analysis of the SDSS/BOSS data from the Effective Field Theory of Large-Scale Structure
• Limits on $w$CDM from the EFTofLSS with the PyBird code
• Gravitational Wave Decay into Dark Energy
• The Hubble Tension in Light of the Full-Shape Analysis of Large-Scale Structure Data
• On the road to percent accuracy: nonlinear reaction of the matter power spectrum to dark energy and modified gravity
• BOSS Correlation Function Analysis from the Effective Field Theory of Large-Scale Structure
• The Novel Probes Project -- Tests of Gravity on Astrophysical Scales
• The BOSS bispectrum analysis at one loop from the Effective Field Theory of Large-Scale Structure
• Void Lensing as a Test of Gravity
• Towards Precision Constraints on Gravity with the Effective Field Theory of Large-Scale Structure
• Constraints on modified gravity from the BOSS galaxy survey
• Limits on primordial non-Gaussianities from BOSS galaxy-clustering data
• $k$-evolution: a relativistic N-body code for clustering dark energy
• Tree-Level Bispectrum in the Effective Field Theory of Large-Scale Structure extended to Massive Neutrinos
• Fast and accurate predictions of the nonlinear matter power spectrum for general models of Dark Energy and Modified Gravity
• Consistency relations for large-scale structure in modified gravity and the matter bispectrum
• Matter bispectrum beyond Horndeski
• Limits on Clustering and Smooth Quintessence from the EFTofLSS
• Taming redshift-space distortion effects in the EFTofLSS and its application to data
• New constraints on cosmological modified gravity theories from anisotropic three-point correlation functions of BOSS DR12 galaxies
• $\text{Hi-COLA}$: Fast, approximate simulations of structure formation in Horndeski gravity
• BOSS full-shape analysis from the EFTofLSS with exact time dependence
• Violation of the consistency relations for large-scale structure with dark energy
• The matter density PDF for modified gravity and dark energy with Large Deviations Theory
• Evolution of dark matter velocity dispersion
• UV sensitive one-loop matter power spectrum in degenerate higher-order scalar-tensor theories
• Assessing non-linear models for galaxy clustering III: Theoretical accuracy for Stage IV surveys
• Aether scalar tensor theory: Hamiltonian Formalism
• Higher-Order Spectra of Weak Lensing Convergence Maps in Parameterized Theories of Modified Gravity
• kSZ Pairwise Velocity Reconstruction with Machine Learning
• Baryonic effects in the Effective Field Theory of Large-Scale Structure and an analytic recipe for lensing in CMB-S4
• Cluster optical depth and pairwise velocity estimation using machine learning
• The Large Scale Structure Bootstrap: perturbation theory and bias expansion from symmetries
• Dynamical 4-D Gauss-Bonnet action from matter-graviton interaction at one-loop
• New tests of dark sector interactions from the full-shape galaxy power spectrum
• Dark energy constraints in light of theoretical priors
• DUCA: Dynamic Universe Cosmological Analysis. II. The impact of clustering dark energy on the halo mass function