Baryon Acoustic Oscillations in 2D: Modeling Redshift-space Power Spectrum from Perturbation Theory

By A. Taruya, T. Nishimichi, S. Saito. 2010

313 citations recorded by the source corpus.

We present an improved prescription for the matter power spectrum in redshift space taking proper account of both nonlinear gravitational clustering and redshift distortion, which are of particular importance for accurately modeling baryon acoustic oscillations (BAOs). Contrary to the models of redshift distortion phenomenologically introduced but frequently used in the literature, the new model includes the corrections arising from the nonlinear coupling between the density and velocity fields associated with two competitive effects of redshift distortion, i.e., Kaiser and Finger-of-God effects. Based on the improved treatment of perturbation theory for gravitational clustering, we compare our model predictions with the monopole and quadrupole power spectra of N-body simulations, and an excellent agreement is achieved over the scales of BAOs. Potential impacts on constraining dark energy and modified gravity from the redshift-space power spectrum are also investigated based on the Fisher-matrix formalism, particularly focusing on the measurements of the Hubble parameter, angular diameter distance, and growth rate for structure formation. We find that the existing phenomenological models of redshift distortion produce a systematic error on measurements of the angular diameter distance and Hubble parameter by 1%-2%, and the growth-rate parameter by ∼5%, which would become non-negligible for future galaxy surveys. Correctly modeling redshift distortion is thus essential, and the new prescription for the redshift-space power spectrum including the nonlinear corrections can be used as an accurate theoretical template for anisotropic BAOs.

Subfields: Astronomy and Astrophysics, Nuclear and High Energy Physics

View Paper: https://www.semanticscholar.org/paper/fe98411d324bf5b67d1cd530a146bfac7db39467

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Citations in the corpus

The VIMOS Public Extragalactic Redshift Survey (VIPERS) - Galaxy clustering and redshift-space distortions at z ≃ 0.8 in the first data release (2013, methodology): “This parameterization can be used for model A and B, although not for model C in which the correction term CA involves the additional combinations: b2 fσ48, b f 2σ48, and f 3σ48 (see Taruya et al. 2010; de la Torre & Guzzo 2012).”
The clustering of galaxies in the completed SDSS-III Baryon Oscillation Spectroscopic Survey: cosmological analysis of the DR12 galaxy sample (2016, methodology): “These measurements are then compared to a model based on renormalized perturbation theory (Taruya et al. 2010).”
Cosmological tests of modified gravity (2015, methodology): “In order to demonstrate the importance of modelling the non-linear effect in the redshift space power spectrum accurately, we consider the perturbation theory based template for the redshift power spectrum [259]”
The WiggleZ Dark Energy Survey: measuring the cosmic expansion history using the Alcock-Paczynski test and distant supernovae (2011, methodology): “…with a range of other implementations of redshift-space distortions discussed in the recent literature, including generating the density and velocity power spectra using Renormalized Perturbation Theory (Crocce & Scoccimarro 2006) and adding the correction terms proposed by Taruya et al. (2010).”
hmcode-2020: improved modelling of non-linear cosmological power spectra with baryonic feedback (2020, background): “In Fourier space this manifests as a scale-dependent decrease in amplitude of the ‘wiggle’ part of the power spectrum (e.g., Crocce & Scoccimarro 2006; Taruya et al. 2010; Senatore & Zaldarriaga 2015).”
The clustering of galaxies in the SDSS-III Baryon Oscillation Spectroscopic Survey: RSD measurement from the power spectrum and bispectrum of the DR12 BOSS galaxies (2016, methodology): “We describe the effects of redshift space distortions on the power spectrum as in the model presented in Taruya et al. (2010); Nishimichi & Taruya (2011) (hereafter TNS model), which has been used in previous analysis of the power spectrum multipoles of BOSS dataset (Beutler et al. 2014; GilMaŕın…”
The clustering of galaxies in the completed SDSS-III Baryon Oscillation Spectroscopic Survey: Cosmological implications of the configuration-space clustering wedges (2016, background): “(23) The closest redshift-space model in the literature to ours (Taruya et al. 2010; Beutler et al. 2014) also starts from equation (15).”
The VIMOS Public Extragalactic Redshift Survey (VIPERS): The growth of structure at $0.5 < z < 1.2$ from redshift-space distortions in the clustering of the PDR-2 final sample (2016, methodology): “Their use in the analysis presented in the following sections is a signiﬁcant improvement over previous applications of the Scoccimarro and TNS (Taruya et al. 2010) models, as it allows us to extend our tests to smaller scales and apply the models to high redshifts as sampled by VIPERS.”
Observational probes of cosmic acceleration (2012, background): “Other recent discussions of analytic or numerically calibrated models of non-linear RSD, from different perspectives, include Taruya et al. (2010), Jennings et al. (2011), Seljak and McDonald (2011), Jennings (2012), and Okumura et al. (2012); this is a highly active area of current research.”
The WiggleZ Dark Energy Survey: mapping the distance-redshift relation with baryon acoustic oscillations (2011, methodology): “…Ωmh 2 using the first-order prediction of perturbation theory (Crocce & Scoccimarro 2008): σ2v = 1 6π2 ∫ PL(k) dk. (5) However, this relation provides only an approximation to the true non-linear damping (Taruya et al. 2010), and we chose to marginalize over σv as a free parameter in our analysis.”
The completed SDSS-IV extended Baryon Oscillation Spectroscopic Survey: BAO and RSD measurements from the anisotropic power spectrum of the quasar sample between redshift 0.8 and 2.2 (2020, methodology): “MNRAS 000, 1–20 (2020) the TNS model (Taruya et al. 2010).”
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, background): “…term, Pnovir(k, µ), can be further decomposed into three terms, and this large-scale RSD modelling treatment can be found in Scoccimarro (2004) and Taruya et al. (2010) Pnovir (k, µ) =P(1)novir (k, µ) + (kµ f )P (2) novir (k, µ) + (kµ f )2P(3) novir (k, µ), (15) where the first term, P(1)…”
The VIMOS Public Extragalactic Redshift Survey (VIPERS) - an unprecedented view of galaxies and large-scale structure at 0.5 < z < 1.2 (2013, background): “…of works on both measurements (e.g. Beutler et al. 2012; Blake et al. 2011a; Reid et al. 2012), and theoretical modelling (e.g. Song & Percival 2009; Percival & White 2009; White et al. 2009; Scoccimarro 2004; Taruya et al. 2010; Kwan et al. 2012; Reid & White 2011; de la Torre & Guzzo 2012).”