Towards an accurate model of the redshift-space clustering of haloes in the quasi-linear regime

By B. Reid, M. White. 2011

206 citations recorded by the source corpus.

Observations of redshift-space distortions in spectroscopic galaxy surveys offer an attractive method for measuring the build-up of cosmological structure, which depends both on the expansion rate of the Universe and on our theory of gravity. The statistical precision with which redshift-space distortions can now be measured demands better control of our theoretical systematic errors. While many recent studies focus on understanding dark matter clustering in redshift space, galaxies occupy special places in the universe: dark matter haloes. In our detailed study of halo clustering and velocity statistics in 67.5 h−3 Gpc3 of N-body simulations, we uncover a complex dependence of redshift-space clustering on halo bias. We identify two distinct corrections which affect the halo redshift-space correlation function on quasi-linear scales (∼30–80 h−1 Mpc): the non-linear mapping between real-space and redshift-space positions, and the non-linear suppression of power in the velocity divergence field. We model the first non-perturbatively using the scale-dependent Gaussian streaming model, which we show is accurate at the 10 (s > 25) h−1 Mpc for the monopole (quadrupole) halo correlation functions. The dominant correction to the Kaiser limit in this model scales like b3. We use standard perturbation theory to predict the real-space pairwise halo velocity statistics. Our fully analytic model is accurate at the 2 per cent level only on scales s > 40 h−1 Mpc for the range of halo masses we studied (with b= 1.4–2.8). We find that recent models of halo redshift-space clustering that neglect the corrections from the bispectrum and higher order terms from the non-linear real-space to redshift-space mapping will not have the accuracy required for current and future observational analyses. Finally, we note that our simulation results confirm the essential but non-trivial assumption that on large scales, the bias inferred from the real-space clustering of haloes is the same as the one that determines their pairwise infall velocity amplitude at the per cent level.

Subfields: Astronomy and Astrophysics, Instrumentation

View Paper: https://www.semanticscholar.org/paper/b19285ad7690140bb4074525e32f8d0b421e5ab0

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Citations in the corpus

The clustering of galaxies in the SDSS-III Baryon Oscillation Spectroscopic Survey: Measuring growth rate and geometry with anisotropic clustering (2013, methodology): “Our model has been compared to N-body simulations and shown to fit the anisotropic clustering down to scales of ∼ 25h−1 Mpc with per cent level precision (Reid & White 2011; Reid et al. 2012).”
A 2.5 per cent measurement of the growth rate from small-scale redshift space clustering of SDSS-III CMASS galaxies (2014, methodology): “Using the results of Reid & White (2011), we find that haloes of mass ∼1013.1 h−1 M have a mean relative pairwise velocity of ∼−2.7 h−1 Mpc at separations below 10 h−1 Mpc and a pairwise velocity dispersion that increases with scale, also with an rms of ∼2.7 h−1 Mpc at true (real space) halo…”
The clustering of galaxies in the SDSS-III Baryon Oscillation Spectroscopic Survey:a large sample of mock galaxy catalogues (2012, methodology): “We used the standard perturbation theory predictions of the real space pairwise halo velocity statistics to model the nonlinear contribution to the redshift space correlation function (Reid & White 2011).”
Numerical simulations of the dark universe: State of the art and the next decade (2012, background): “This finding has fueled the development of more accurate new estimators which can robustly use the clustering information at smaller scales [199, 200].”
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 also analyse the 20 catalogues of dark matter haloes, each drawn from an N -body simulation, that were used in previous works (White et al. 2011; Reid & White 2011) to test the validity of the bispectrum theoretical model (GilMaŕın et al. 2014, 2015a).”
Measuring DA and H at z = 0.35 from the SDSS DR7 LRGs using baryon acoustic oscillations (2012, background): “Reid & White (2011) have shown that accurately modelling broad-band redshift-space distortions in dark-matter-only simulations is a challenging theory problem and requires going beyond simple s and β parametrizations.”
Interpreting large-scale redshift-space distortion measurements (2011, background): “(8) introduce additional bias in theoretical estimates of Pθδ and Pδθ and therefore in ξℓ(r) (Taruya, Saito & Nishimichi 2011; Tang 2011; Reid & White 2011).”
The clustering of galaxies in the SDSS-III Baryon Oscillation Spectroscopic Survey: mock galaxy catalogues for the BOSS Final Data Release (2015, background): “(8) For the Gaussian streaming model see Reid & White (2011), and for non-Gaussian models see e.g. Tinker (2007).”
The clustering of the SDSS main galaxy sample – II. Mock galaxy catalogues and a measurement of the growth of structure from redshift space distortions at z = 0.15 (2014, methodology): “We additionally allow this term to go negative over the same range to account for the fact that, as mentioned in Reid & White (2011), the perturbation theory calculation of σ 12 overestimates the amplitude of the positive offset required to bring linear theory in line with the measurements from…”
The Subaru FMOS galaxy redshift survey (FastSound). IV. New constraint on gravity theory from redshift space distortions at z ∼ 1.4 (2015, methodology): “…based on a halo model, perturbation theory and N-body simulations (e.g., Seljak 2001; White 2001; Tinker 2007; Matsubara 2008; Taruya et al. 2010; Reid & White 2011; Nishimichi & Taruya 2011; Okumura et al. 2012a; Vlah et al. 2013; Song et al. 2014; Kitaura et al. 2014; Uhlemann et al. 2015;…”
The clustering of galaxies in the SDSS-III DR9 Baryon Oscillation Spectroscopic Survey: testing deviations from Λ and general relativity using anisotropic clustering of galaxies (2012, methodology): “Reid & White (2011) demonstrated that the “streaming model” used as the theoretical basis of our CMASS DR9 analysis reproduces the monopole and quadrupole measured in Nbody simulations with better than 2per cent precision down to the scales of 25Mpch−1; better than the level demanded by DR9 data.”
Simultaneous constraints on the growth of structure and cosmic expansion from the multipole power spectra of the SDSS DR7 LRG sample (2013, methodology): “…function in redshift space on the basis of perturbative approaches (Matsubara 2008c,b, 2011d, 2013a; Nishimichi & Taruya 2011; Okumura et al. 2012b,a; Reid & White 2011; Scoccimarro 2004a; Seljak & McDonald 2011; Taruya et al. 2009c, 2010d, 2013a; Vlah et al. 2012b, 2013a; Wang et al. 2013).”
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).”
The 6dF Galaxy Survey: z \approx 0 measurement of the growth rate and sigma_8 (2012, methodology): “We can hence suppose that non-linear effects will be smaller in amplitude in an HI survey compared to highlybiased surveys such as 6dFGS (see e.g. Simpson et al. 2011 or Figure 4 in Reid & White 2011).”
LATE-TIME COSMOLOGY WITH 21 cm INTENSITY MAPPING EXPERIMENTS (2014, background): “…more complex exponential term that models non-linear smoothing of the BAO as well (Samushia et al. 2012). s » 4 and 10NL Mpc (e.g., Li et al. 2007; Reid & White 2011; Reid et al. 2012; Contreras et al. 2013); for our fiducial model, we choose a middling value of s = 7NL Mpc (Li et al. 2007),…”
Observational probes of cosmic acceleration (2012, background): “Reid and White (2011) examine BOSS RSD forecasts in more detail, considering the impact of modeling uncertainties.”
Redshift-space distortions in Lagrangian perturbation theory (2020, methodology): “In addition, we compare the performance of our model with previous models such as the Gaussian streaming model (GSM; [20, 21, 24, 83–85]) and moment expansion (MOME; [22, 52]) in LPT and resummed Eulerian perturbation theory (REPT) in both Fourier and configuration space.”
The clustering of galaxies in the completed SDSS-III Baryon Oscillation Spectroscopic Survey: Cosmological implications of the configuration-space clustering wedges (2016, methodology): “…(2016) use a model based on convolution Lagrangian perturbation theory (Carlson, Reid & White 2013; Wang, Reid & White 2014) and the Gaussian streaming model (Scoccimarro 2004; Reid & White 2011) to fit the full shape of the monopole and quadrupole of the two-point correlation function, ξ 0, 2(s).”