Testing cosmological structure formation using redshift-space distortions

By Will J. Percival, M. White. 2008

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Observations of redshift-space distortions in spectroscopic galaxy surveys offer an attractive method for observing the build-up of cosmological structure. In this paper, we develop and test a new statistic based on anisotropies in the measured galaxy power spectrum, which is independent of galaxy bias and matches the matter power spectrum shape on large scales. The amplitude provides a constraint on the derivative of the linear growth rate through fσ 8 (mass). This demonstrates that spectroscopic galaxy surveys offer many of the same advantages as weak lensing surveys, in that they both use galaxies as test particles to probe all matter in the Universe. They are complementary as redshift-space distortions probe non-relativistic velocities and therefore the temporal metric perturbations, while weak lensing tests the sum of the temporal and spatial metric perturbations. The degree to which our estimator can be pushed into the non-linear regime is considered and we show that a simple Gaussian damping model, similar to that previously used to model the behaviour of the power spectrum on very small scales, can also model the quasi-linear behaviour of our estimator. This enhances the information that can be extracted from surveys for A cold dark matter (ACDM) models.

Subfields: Astronomy and Astrophysics, Instrumentation

View Paper: https://www.semanticscholar.org/paper/ede7736749c88e21b648fc5a7907c569d5d706c1

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Citations in the corpus

The clustering of galaxies in the SDSS-III Baryon Oscillation Spectroscopic Survey: single-probe measurements from CMASS anisotropic galaxy clustering (2013, methodology): “Percival & White (2009) developed a method to measure f(z)σ 8(z) and applied it on simulations.”
The clustering of galaxies in the SDSS-III Baryon Oscillation Spectroscopic Survey: single-probe measurements and the strong power of f(z)σ8(z) on constraining dark energy (2013, methodology): “Percival & White (2009) develop d a 1 http://sci.esa.int/euclid 2 http://bigboss.lbl.gov/ method to measuref(z)σ8(z) and applied it on simulations.”
Holographic dark energy (2016, unknown): “By modeling the full redshift-space galaxy power spectrum, one can extract the parameter combination f(z)σ8(z), the product of the growth rate and the matter clustering amplitude [136].”
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, background): “In linear theory, f and σ8 are completely degenerate (Percival & White 2009), and hence, our measurement is sensitive to the product, f (z)σ8(z), at the effective redshift of the survey.”
How to evade the sample variance limit on measurements of redshift-space distortions (2008, methodology): “Predictions for the future surveys with this and related methods can be found in [14, 15].”
Baryon acoustic oscillations from the complete SDSS-III Ly$\alpha$-quasar cross-correlation function at $z=2.4$ (2017, unknown): “18 of Percival & White (2009), we use a Lorentz-damping form: VNL(k‖) = 1 1 + ( k‖σv,QSO )2 , (28) where σv,QSO [h−1 Mpc] is a free parameter.”
Cosmological parameter constraints from SDSS luminous red galaxies: a new treatment of large-scale clustering (2009, unknown): “To study the impact of redshift distortions and bias, we put together the above discussion and the ansatz given in Scoccimarro (2004) (see also Percival & White 2009): Ps(k) = e−k2f 2μ2σ 2v [ b2Pδδ + 2f μ2bPδθ + f 2μ4Pθθ ] , (A3) where P δδ , P δθ and P θθ were introduced above and a local linear…”
The Completed SDSS-IV Extended Baryon Oscillation Spectroscopic Survey: Baryon Acoustic Oscillations with Lyα Forests (2020, background): “For the cross-correlation, the most important effect is that of quasar nonlinear velocities, and, following Percival & White (2009), we adopt s = + F k k 1 1 , 30 v NL cross 2 ( ) ( ) ( ) where sv is a free parameter.”
Baryon acoustic oscillations from the cross-correlation of Lyα absorption and quasars in eBOSS DR14 (2019, methodology): “The effect of quasar nonlinear velocities and statistical redshift errors on the power spectrum is modeled as a Lorentz damping (Percival & White 2009), VNL(k‖) = 1 1 + (k‖σv)2 , (30) where σv is a free parameter.”
Generation of vorticity and velocity dispersion by orbit crossing (2008, background): “The understanding of the nonlinear evolution of the volume weighted (as opposed to mass or galaxy weighted) velocity field is important, since the velocity difference PDF is one of the building blocks that contributes to the redshift space galaxy power spectrum, independent of galaxy bias and calcul”
Planck2015 results (2015, unknown): “Transverse versus line-of-sight anisotropies in the redshift-space clustering of galaxies induced by peculiar motions can, potentially, provide a powerful way of constraining the growth rate of structure (e.g., Percival & White 2009).”
Observational probes of cosmic acceleration (2012, background): “…redshift-space galaxy power spectrum one can extract the parameter combination f(z)σ8(z), the product of the matter clustering amplitude and the growth rate (see Percival and White 2009, who provide a clear review of the physics of redshift-space distortions and recent theoretical developments).”
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).”