IR-safe and UV-safe integrands in the EFTofLSS with exact time dependence

Abstract

Because large-scale structure surveys may very well be the next leading sources of cosmological information, it is important to have a precise understanding of the cosmological observables; for this reason, the Effective Field Theory of Large-Scale Structure (EFTofLSS) was developed. So far, most results in the EFTofLSS have used the so-called Einstein-de Sitter approximation, an approximation of the time dependence which is known to be accurate to better than one percent. However, in order to reach even higher accuracy, the full time dependence must be used. The computation with exact time dependence is sensitive to both infrared (IR) and ultraviolet (UV) effects in the loop integrands, and while these effects must cancel because of diffeomorphism invariance, they make numerical computation much less efficient. We provide a formulation of the one-loop, equal-time exact-time-dependence power spectrum of density perturbations which is manifestly free of these spurious IR and UV divergences at the level of the integrand. We extend our results to the total matter mode with clustering quintessence, show that IR and UV divergences cancel, and provide the associated IR- and UV-safe integrand. This also establishes that the consistency conditions are satisfied in this system. We then use our one-loop result to do an improved precision comparison of the two-loop dark-matter power spectrum with the Dark Sky N-body simulation.

33 pages, 7 figures, code available at http://web.stanford.edu/~senatore/ ; version published in JCAP, minor corrections

References in corpus (13)

• The Effective Field Theory of Cosmological Large Scale Structures
• The IR-resummed Effective Field Theory of Large Scale Structures
• The Effective Theory of Quintessence: the w<-1 Side Unveiled
• The Bispectrum in the Effective Field Theory of Large Scale Structure
• Galaxy Bias and Primordial Non-Gaussianity
• Analytic Prediction of Baryonic Effects from the EFT of Large Scale Structures
• Non-Gaussian Covariance of the Matter Power Spectrum in the Effective Field Theory of Large Scale Structure
• Third-Order Density Perturbation and One-Loop Power Spectrum in Dark-Energy-Dominated Universe
• Redshift Space Distortions in the Effective Field Theory of Large Scale Structures
• The Trispectrum in the Effective Field Theory of Large Scale Structure
• An effective description of dark matter and dark energy in the mildly non-linear regime
• Efficient exploration of cosmology dependence in the EFT of LSS
• Principal Shapes and Squeezed Limits in the Effective Field Theory of Large Scale Structure

Cited by in corpus (38)

• 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
• BOSS Correlation Function Analysis from the Effective Field Theory of Large-Scale Structure
• New Early Dark Energy is compatible with current LSS data
• 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
• Towards Precision Constraints on Gravity with the Effective Field Theory of Large-Scale Structure
• The Effective Field Theory of Large-Scale Structure in the presence of Massive Neutrinos
• The Hunt for Primordial Interactions in the Large Scale Structures of the Universe
• 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
• The one-loop matter bispectrum as a probe of gravity and dark energy
• On the Bispectra of Very Massive Tracers in the Effective Field Theory of Large-Scale Structure
• Perturbative description of bias tracers using consistency relations of LSS
• Precise Calibration of the One-Loop Bispectrum in the Effective Field Theory of Large Scale Structure
• Consistency relations for large-scale structure in modified gravity and the matter bispectrum
• 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
• BOSS full-shape analysis from the EFTofLSS with exact time dependence
• Violation of the consistency relations for large-scale structure with dark energy
• An Effective Bias Expansion for 21 cm Cosmology in Redshift Space
• Faddeev fixed-center approximation to the $D\bar{D}K$ system and the hidden charm $K_{c\bar{c}}(4180)$ state
• Evolution of dark matter velocity dispersion
• The Milky Way, Coming into Focus: Precision Astrometry Probes its Evolution, and its Dark Matter
• UV sensitive one-loop matter power spectrum in degenerate higher-order scalar-tensor theories
• First test of the consistency relation for the large-scale structure using the anisotropic three-point correlation function of BOSS DR12 galaxies (An explanatory video is available at https://youtu.be/Zi36ooLPhss.)
• Relativistic second-order initial conditions for simulations of large-scale structure
• Baryonic effects in the Effective Field Theory of Large-Scale Structure and an analytic recipe for lensing in CMB-S4
• New tests of dark sector interactions from the full-shape galaxy power spectrum
• The Fragmented Glueball: A Personal View
• Hybrid $P_{\ell }(k)$: general, unified, non-linear matter power spectrum in redshift space