Direct and fast calculation of regularized cosmological power spectrum at two-loop order

By A. Taruya, F. Bernardeau, T. Nishimichi, S. Codis. 2012

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We present a specific prescription for the calculation of cosmological power spectra, exploited here at two-loop order in perturbation theory, based on the multipoint propagator expansion. In this approach, density and velocity power spectra are constructed from the regularized expressions of the propagators that reproduce both the resummed behavior in the high-$k$ limit and the standard perturbation theory results at low $k$. With the help of $N$-body simulations, we particularly focus on the density field, and show that such a construction gives robust and accurate predictions for both the density power spectrum and the correlation function at percent level in the weakly nonlinear regime. We then present an algorithm that allows accelerated evaluations of all the required diagrams by reducing the computational tasks to one-dimensional integrals. This is achieved by means of precomputed kernel sets defined for appropriately chosen fiducial models. The computational time for two-loop results is then reduced from a few minutes, with the direct method, to a few seconds with the fast one. The robustness and applicability of this method are tested against the power spectrum cosmic emulator from which a wide variety of cosmological models can be explored. The Fortran program with which direct and fast calculations of density power spectra can be done, RegPT, is publicly released as part of this paper.

Subfields: Astronomy and Astrophysics, Nuclear and High Energy Physics

View Paper: https://www.semanticscholar.org/paper/07c8f7537c042d8a2ae20cd149f3f86ef46ade99

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Citations in the corpus

The IR-resummed Effective Field Theory of Large Scale Structures (2014, methodology): “CDM cosmologies. Thus we will provide formulas where one is not expanding s<. 1 The fact that IR-displacements are responsible for the BAO broadening is already quite well known (see for example [14,15,16,9]), but as we describe later, a satisfactory treatment in perturbation theory is not yet a”
The completed SDSS-IV extended Baryon Oscillation Spectroscopic Survey: BAO and RSD measurements from anisotropic clustering analysis of the quasar sample in configuration space between redshift 0.8 and 2.2 (2020, methodology): “The model is designed to recover the SPT prediction in the low limit of the wavenumber associated with the initial linear power spectrum, and also keep the feature from the regularized perturbation calculation (Taruya et al. 2012).”
The clustering of galaxies in the completed SDSS-III Baryon Oscillation Spectroscopic Survey: Cosmological implications of the configuration-space clustering wedges (2016, background): “…L ibrary on N ovem ber 24, 2016 http://m nras.oxfordjournals.org/ D ow nloaded from & Scoccimarro 2008, 2012; Crocce, Scoccimarro & Bernardeau 2012; Taruya et al. 2012; Taruya, Nishimichi & Bernardeau 2013; Bernardeau, Taruya & Nishimichi 2014), the matter power spectrum is written as PNL(k) =…”
Simultaneous constraints on the growth of structure and cosmic expansion from the multipole power spectra of the SDSS DR7 LRG sample (2013, methodology): “With the RegPT scheme, the model (8) can give us an accurate prediction for the multipole power spectra with its applicable range much beyond linear scales.”
The clustering of galaxies in the SDSS-III Baryon Oscillation Spectroscopic Survey: Testing gravity with redshift-space distortions using the power spectrum multipoles (2013, methodology): “We make use of the publicly available REGPT code (Taruya et al. 2012).”
THE COYOTE UNIVERSE EXTENDED: PRECISION EMULATION OF THE MATTER POWER SPECTRUM (2013, result): “First, Taruya et al. (2012) present work on perturbation theory and compare their results to the CosmicEmu for the cosmologies that were simulated to build the CosmicEmu.”
The clustering of the SDSS-IV extended Baryon Oscillation Spectroscopic Survey DR14 quasar sample: a tomographic measurement of cosmic structure growth and expansion rate based on optimal redshift weights (2018, background): “(34) Note that subscripts δ and θ denote the overdensity and velocity divergence fields respectively, and Pδδ , Pδθ , and Pθθ are the corresponding nonlinear auto- or cross-power spectrum, which are evaluated using the regularized perturbation theory (REGPT) up to second order (Taruya et al. 2012).”
Extragalactic science, cosmology, and Galactic archaeology with the Subaru Prime Focus Spectrograph (2012, methodology): “…an accurate modeling of the galaxy power spectrum based on a suite of high-resolution simulations as well as refined perturbation theory, at BAO scales that are still in the mildly nonlinear regime (Matsubara 2008; Taruya et al. 2009; Matsubara 2011; Taruya et al. 2012; Sugiyama & Futamase 2012).”