Efficient exploration of cosmology dependence in the EFT of LSS

Abstract

The most effective use of data from current and upcoming large scale structure~(LSS) and CMB observations requires the ability to predict the clustering of LSS with very high precision. The Effective Field Theory of Large Scale Structure (EFTofLSS) provides an instrument for performing analytical computations of LSS observables with the required precision in the mildly nonlinear regime. In this paper, we develop efficient implementations of these computations that allow for an exploration of their dependence on cosmological parameters. They are based on two ideas. First, once an observable has been computed with high precision for a reference cosmology, for a new cosmology the same can be easily obtained with comparable precision just by adding the difference in that observable, evaluated with much less precision. Second, most cosmologies of interest are sufficiently close to the Planck best-fit cosmology that observables can be obtained from a Taylor expansion around the reference cosmology. These ideas are implemented for the matter power spectrum at two loops and are released as public codes. When applied to cosmologies that are within 3$\sigma$ of the Planck best-fit model, the first method evaluates the power spectrum in a few minutes on a laptop, with results that have 1\% or better precision, while with the Taylor expansion the same quantity is instantly generated with similar precision. The ideas and codes we present may easily be extended for other applications or higher-precision results.

38 pages, 22 figures. Extended explanations and matches accepted version on JCAP. Codes available at http://web.stanford.edu/~senatore/

References in corpus (11)

• The Effective Field Theory of Cosmological Large Scale Structures
• The IR-resummed Effective Field Theory of Large Scale Structures
• The Atacama Cosmology Telescope: The polarization-sensitive ACTPol instrument
• A critical look at cosmological perturbation theory techniques
• The Bispectrum in the Effective Field Theory of Large Scale Structure
• FAST-PT: a novel algorithm to calculate convolution integrals in cosmological perturbation theory
• Galaxy Bias and Primordial Non-Gaussianity
• Analytic Prediction of Baryonic Effects from the EFT of Large Scale Structures
• Fast Large Scale Structure Perturbation Theory using 1D FFTs
• Non-Gaussian Covariance of the Matter Power Spectrum in the Effective Field Theory of Large Scale Structure
• The Trispectrum in the Effective Field Theory of Large Scale Structure

Cited by in corpus (34)

• The Cosmological Analysis of the SDSS/BOSS data from the Effective Field Theory of Large-Scale Structure
• 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
• The Hubble Tension in Light of the Full-Shape Analysis of Large-Scale Structure Data
• The Aemulus Project I: Numerical Simulations for Precision Cosmology
• Cosmological Perturbation Theory Using the FFTLog: Formalism and Connection to QFT Loop Integrals
• BOSS Correlation Function Analysis from the Effective Field Theory of Large-Scale Structure
• New Early Dark Energy is compatible with current LSS data
• On the IR-Resummation in the EFTofLSS
• The BOSS bispectrum analysis at one loop from the Effective Field Theory of Large-Scale Structure
• Dark Energy and Modified Gravity in the Effective Field Theory of Large-Scale Structure
• An analytic implementation of the IR-resummation for the BAO peak
• Very Massive Tracers and Higher Derivative Biases
• The Effective Field Theory of Large Scale Structure at Three Loops
• IR-safe and UV-safe integrands in the EFTofLSS with exact time dependence
• Biased Tracers in Redshift Space in the EFTofLSS with exact time dependence
• The matter power spectrum in redshift space using effective field theory
• Limits on primordial non-Gaussianities from BOSS galaxy-clustering data
• Tree-Level Bispectrum in the Effective Field Theory of Large-Scale Structure extended to Massive Neutrinos
• An effective description of dark matter and dark energy in the mildly non-linear regime
• Limits on Clustering and Smooth Quintessence from the EFTofLSS
• Taming redshift-space distortion effects in the EFTofLSS and its application to data
• BOSS full-shape analysis from the EFTofLSS with exact time dependence
• Relativistic cosmological large scale structures at one-loop
• An Effective Bias Expansion for 21 cm Cosmology in Redshift Space
• Evolution of dark matter velocity dispersion
• The Effective Field Theory and Perturbative Analysis for Log-Density Fields
• Cosmological constraints from the EFT power spectrum and tree-level bispectrum of 21cm intensity maps
• Fitting functions on the cheap: the relative nonlinear matter power spectrum
• Baryonic effects in the Effective Field Theory of Large-Scale Structure and an analytic recipe for lensing in CMB-S4
• Implementing spectra response function approaches for fast calculation of power spectra and bispectra
• New tests of dark sector interactions from the full-shape galaxy power spectrum
• Neural Network Acceleration of Large-scale Structure Theory Calculations