Resumming Cosmological Perturbations via the Lagrangian Picture: One-loop Results in Real Space and in Redshift Space

By Takahiko Matsubara. 2007

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We develop a new approach to study the nonlinear evolution in the large-scale structure of the Universe both in real space and in redshift space, extending the standard perturbation theory of gravitational instability. Infinite series of terms in standard Eulerian perturbation theory are resummed as a result of our starting from a Lagrangian description of perturbations. Delicate nonlinear effects on scales of the baryon acoustic oscillations are more accurately described by our method than the standard one. Our approach differs from other resummation techniques recently proposed, such as the renormalized perturbation theory, etc., in that we use simple techniques and thus resulting equations are undemanding to evaluate, and in that our approach is capable of quantifying the nonlinear effects in redshift space. The power spectrum and correlation function of our approach are in good agreement with numerical simulations in literature on scales of baryon acoustic oscillations. Especially, nonlinear effects on the baryon acoustic peak of the correlation function are accurately described both in real space and in redshift space. Our approach provides a unique opportunity to analytically investigate the nonlinear effects on baryon acoustic scales in observable redshift space, which is requisite in constraining the nature of dark energy, themore » curvature of the Universe, etc., by redshift surveys.« less

Subfields: Astronomy and Astrophysics, Nuclear and High Energy Physics

View Paper: https://www.semanticscholar.org/paper/c04cf102254d5a3e4cc7f2e6cc183be7884854d9

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Citations in the corpus

The WiggleZ Dark Energy Survey: the growth rate of cosmic structure since redshift z=0.9 (2011, background): “The final perturbation theory approaches we consider follow Matsubara (2008) and Taruya, Nishimichi & Saito (2010) who present quasi-linear perturbation theory models including terms up to µ6, of the form P sg (k, µ) = 3 ∑ n=0 An(k)µ 2n , (13) where the coefficients An(k) are functions of f , which…”
Nonlinear perturbation theory extension of the Boltzmann code CLASS (2020, methodology): “While CLASS-PT is entirely based on Eulerian perturbation theory, it is worth emphasizing that similar progress has been made in Lagrangian Perturbation Theory (LPT) as well [61–66].”
Cosmological parameter constraints from SDSS luminous red galaxies: a new treatment of large-scale clustering (2009, background): “Journal compilation C© 2009 RAS, MNRAS 400, 1643–1664 Downloaded from https://academic.oup.com/mnras/article-abstract/400/3/1643/962390 by guest on 27 July 2018 about 4 per cent (Crocce & Scoccimarro 2006b; Matsubara 2008).”
Modelling the anisotropic two-point galaxy correlation function on small scales and single-probe measurements of H(z), DA(z) and f(z)σ8(z) from the Sloan Digital Sky Survey DR7 luminous red galaxies (2012, methodology): “…damping effect of the wiggled part in redshift space can be well approximated by (Eisenstein, Seo & White 2007) P nlBAO(k, μk) = P linBAO(k) exp ( − k 2 2k2∗ [ 1 + μ2k(2f + f 2) ]) , (2) where k could be computed by (Crocce & Scoccimarro 2006; Matsubara 2008) k∗ = [ 1 3π2 ∫ Plin(k) dk ]−1/2 .”
The clustering of galaxies in the completed SDSS-III Baryon Oscillation Spectroscopic Survey: baryon acoustic oscillations in the Fourier space (2016, background): “…observational and evolutionary non-linear effects that damp and shift the BAO feature, thereby biasing such a measurement if ignored (e.g. Meiksin, White, & Peacock 1999; Seo & Eisenstein 2005; Crocce & Scoccimarro 2006; Matsubara 2008b; Taruya et al. 2009; Seo et al. 2010; Mehta et al. 2011).”
The clustering of galaxies in the SDSS‐III Baryon Oscillation Spectroscopic Survey: cosmological implications of the large‐scale two‐point correlation function (2012, background): “…progress regarding the theoretical understanding of the effects of non-linear evolution, which can now be accurately modelled (Crocce & Scoccimarro 2006; Matsubara 2008a,b; Taruya et al. 2009), and even partially corrected for (Eisenstein et al. 2007; Seo et al. 2010; Padmanabhan et al. 2012).”
The completed SDSS-IV extended Baryon Oscillation Spectroscopic Survey: measurement of the BAO and growth rate of structure of the luminous red galaxy sample from the anisotropic correlation function between redshifts 0.6 and 1 (2020, methodology): “Although CLPT is more accurate than Lagrangian Resummation Theory from Matsubara (2008) in real space, we still have to improve the small-scale modelling in order to study RSDs.”
The 6dF Galaxy Survey: baryon acoustic oscillations and the local Hubble constant (2011, neutral): “c© 0000 RAS, MNRAS 000, 000–000 ory (Crocce & Scoccimarro 2006; Matsubara 2008) by k∗ = [ 1 6π2 ∫ ∞ 0 dk Plin(k) ]−1/2 , (19) where Plin(k) is again the linear power spectrum.”
The clustering of galaxies in the sdss-iii baryon oscillation spectroscopic survey: Baryon acoustic oscillations in the data release 9 spectroscopic galaxy sample (2012, background): “…is caused by matter flows and peculiar velocities on intermediate scales (∼20 h−1 Mpc), which act to suppress small-scale oscillations in the galaxy power spectrum and smooth the BAO feature in the correla- tion function (Eisenstein et al. 2007b; Crocce & Scoccimarro 2008; Matsubara 2008a,b).”
A 2 per cent distance to $z$=0.35 by reconstructing baryon acoustic oscillations - I. Methods and application to the Sloan Digital Sky Survey (2012, background): “This smoothing is well understood (Eisenstein et al. 2007b; Crocce & Scoccimarro 2008; Matsubara 2008a,b; Padmanabhan & White 2009; Seo et al. 2010) and is physically caused by large-scale flows.”
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): “…to modelling the power spectrum or correlation function of the anisotropic galaxy clustering have been suggested in recent years (Scoccimarro 2004; Matsubara 2008a,b, 2011, 2013; Carlson, White & Padmanabhan 2009; Taruya, Nishimichi & Saito 2010; Reid & White 2011; Seljak & McDonald 2011; Vlah et…”
Generation of vorticity and velocity dispersion by orbit crossing (2008, methodology): “[8] for a recent example), since neglecting self-gravity in caustics leads to artificial thickening of such structures when trajectories cross without interacting.”
The 6dF Galaxy Survey: z \approx 0 measurement of the growth rate and sigma_8 (2012, result): “Matsubara 2008b, Phys.”
Extragalactic science, cosmology, and Galactic archaeology with the Subaru Prime Focus Spectrograph (2012, methodology): “(Matsubara 2008; Taruya et al. 2009; Nishimichi & Taruya 2011; Tang et al. 2011; Hikage et al. 2012a,b).”
Time-sliced perturbation theory II: baryon acoustic oscillations and infrared resummation (2016, background): “A similar result is derived in the Lagrangian picture in [20, 22].”
Simultaneous constraints on the growth of structure and cosmic expansion from the multipole power spectra of the SDSS DR7 LRG sample (2013, methodology): “In the present paper, among several proposed models to account for the non-linear RSDs ((Matsubara 2008b; Reid & White 2011; Seljak & McDonald 2011)), we adopt the model given by (Taruya et al. 2010d) (hereafter, TNS model): P s(k, µ) = DFoG(kµfσv) × [ PKaiser(k, µ; f) +A(k, µ; f) +B(k, µ; f) ] ,…”