Hybrid modeling of redshift space distortions

Song, Yong-Seon; Zheng, Yi; Taruya, Atsushi; Oh, Minji

doi:10.1088/1475-7516/2018/07/018

Cited by 12 publications

(15 citation statements)

References 64 publications

(75 reference statements)

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“…The detailed simulation parameters are listed in table 1. The hybrid RSD model for dark matter was verified with the simulations introduced above in our previous work [96,97]. In this manuscript, we test the hybrid RSD model for halos on the halo catalogs generated from the same simulations.…”

Section: Verification Of Theoretical Modelmentioning

confidence: 58%

“…We further discuss the above fourth point here. In RSD cosmology inference, the advantage of calculating dark matter templates from simulations rather than perturbation theory has been verified in [97,120]. The improvement of numerical power will make our hybrid RSD model implementable in future data analysis.…”

Section: Test Of the Halo Rsd Model Using Full Bias Modelsmentioning

confidence: 90%

“…Being different from the conventional belief, higher order polynomials such as trispectrum related term should be included [96] for the high precision experiment such as DESI [101], EUCLID [102] and PFS [103]. Based upon this RSD mapping formula, the hybrid RSD model has been proposed in our previous work, which was verified using particle simulations [97]. We extend our previous study into halo case in this manuscript.…”

Section: Introductionmentioning

confidence: 87%

“…This perturbative approach is assumed to be applicable up to quasi-linear regime, and the truncation is made in a consistent order in terms of j 1 . We proved in [96,97] that, if we truncate the expansion at the second order of j 1 , the dark matter mapping formula is accurate within 2% at k < 0.2 h Mpc −1 , and it could reconstruct the linear growth rate within 1% at k < 0.18 h Mpc −1 . The perturbed expression of P (S) (k, µ) has only one free parameter, the line-of-sight velocity dispersion σ 2 z , and it is given by…”

Section: Introductionmentioning

confidence: 91%

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Study on the mapping of halo clustering from real space to redshift space

Zheng

Song

2019

J. Cosmol. Astropart. Phys.

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The mapping of galaxy clustering from real space to redshift space introduces the anisotropic property to the measured galaxy density power spectrum in redshift space, known as the redshift space distortion (RSD) effect. The mapping formula is intrinsically non-linear, which is complicated by the higher order polynomials due to indefinite orders of cross correlations between density and velocity fields, and the Finger-of-God (FoG) effect due to the randomness of the galaxy peculiar velocity field. In previous works, we have verified the robustness of advanced TNS mapping formula in our hybrid RSD model in dark matter case, where the halo bias models are not taken into account for the halo mapping formula in redshift space. Using 100 realizations of halo catalogs in N-body simulations, we find that our halo RSD model with the known halo bias model and the effective FoG function accurately predicts the halo power spectrum measurements, within 1∼2% accuracy up to k ∼ 0.2 h Mpc −1 , depending on different halo masses and redshifts. Theoretical RSD model for halo clusteringUnderstanding the halo clustering in redshift space is a key stepstone towards theoretically describing the observed galaxy clustering in the Universe. In our previous work [96], the RSD model for dark matter clustering in redshift space was studied in detail. The model has been proved to accurately reconstruct the linear growth rate within 1% at k < 0.18 h Mpc −1 for simulations of different cosmologies with different Hubble parameters [97]. This theoretical RSD model will be applied to the halo clustering case in this manuscript. We will describe the RSD model in this section. Besides, the halo density bias model [108] and halo velocity bias model [105] adopted in this paper will be presented as well. The advanced TNS model for halosMatter distribution in the universe is inhomogeneous at small scales. The gravitational attraction arising from this inhomogeneity perturbs galaxies and causes their motions deviating from the Hubble flow. These deviations, named peculiar velocities of galaxies, disturb the galaxy redshifts and hence the galaxy distribution in redshift space in an anisotropic way.

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Section: Verification Of Theoretical Modelmentioning

confidence: 58%

Section: Test Of the Halo Rsd Model Using Full Bias Modelsmentioning

confidence: 90%

Section: Introductionmentioning

confidence: 87%

Section: Introductionmentioning

confidence: 91%

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Study on the mapping of halo clustering from real space to redshift space

Zheng

Song

2019

J. Cosmol. Astropart. Phys.

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“…5 or its equivalent forms (e.g. Scoccimarro (2004); Matsubara (2008); Taruya et al (2010); Seljak & McDonald (2011); Okumura et al (2012a); Zhang et al (2013); Zheng et al (2013); Zheng & Song (2016); Song et al (2018); Zheng et al (2019)).…”

Section: Power Spectrum Based Modelsmentioning

confidence: 99%

Expansion series of the pairwise velocity generating function and its implications on redshift space distortion modeling

Chen,

Zhang,

Zheng

2021

Preprint

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The pairwise velocity generating function G has deep connection with both the pairwise velocity probability distribution function and modeling of redshift space distortion (RSD). Its implementation into RSD modeling is often faciliated by expansion into series of pairwise velocity moments v n 12 . Motivated by the logrithmic transformation of the cosmic density field, we investigate an alternative expansion into series of pairwise velocity cumulants v n 12 c . We numerically evaluate the convergence rate of the two expansions, with three 3072 3 particle simulations of the CosmicGrowth N-body simulation series. (1) We find that the cumulant expansion performs significantly better, for all the halo samples and redshifts investigated. (2) For modeling RSD at k < 0.1h Mpc −1 , including only the n = 1, 2 cumulants is sufficient. (3) But for modeling RSD at k = 0.2h Mpc −1 , we need and only need the n = 1, 2, 3, 4 cumulants. These results provide specific requirements on RSD modeling in terms of m-th order statistics of the large scale strucure.

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Cosmology in the era of Euclid and the Square Kilometre Array

Sprenger

Archidiacono

Brinckmann

et al. 2019

J. Cosmol. Astropart. Phys.

118

188

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Theoretical uncertainties on non-linear scales are among the main obstacles to exploit the sensitivity of forthcoming galaxy and hydrogen surveys like Euclid or the Square Kilometre Array (SKA). Here, we devise a new method to model the theoretical error that goes beyond the usual cut-off on small scales. The advantage of this more efficient implementation of the non-linear uncertainties is tested through a Markov-Chain-Monte-Carlo (MCMC) forecast of the sensitivity of Euclid and SKA to the parameters of the standard ΛCDM model, including massive neutrinos with total mass M ν , and to 3 extended scenarios, including 1) additional relativistic degrees of freedom (ΛCDM + M ν + N eff ), 2) a deviation from the cosmological constant (ΛCDM + M ν + w 0 ), and 3) a timevarying dark energy equation of state parameter (ΛCDM + M ν + (w 0 , w a )). We compare the sensitivity of 14 different combinations of cosmological probes and experimental configurations. For Euclid combined with Planck, assuming a plain cosmological constant, our method gives robust predictions for a high sensitivity to the primordial spectral index n s (σ(n s ) = 0.00085), the Hubble constant H 0 (σ(H 0 ) = 0.141 km/s/Mpc), the total neutrino mass M ν (σ(M ν ) = 0.020 eV). Assuming dynamical dark energy we get σ(M ν ) = 0.030 eV for the mass and (σ(w 0 ), σ(w a )) = (0.0214, 0.071) for the equation of state parameters. The predicted sensitivity to M ν is mostly stable against the extensions of the cosmological model considered here. Interestingly, a significant improvement of the constraints on the extended model parameters is also obtained when combining Euclid with a low redshift HI intensity mapping survey by SKA1, demonstrating the importance of the synergy of Euclid and SKA.

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Hybrid modeling of redshift space distortions

Cited by 12 publications

References 64 publications

Study on the mapping of halo clustering from real space to redshift space

Study on the mapping of halo clustering from real space to redshift space

Expansion series of the pairwise velocity generating function and its implications on redshift space distortion modeling

Cosmology in the era of Euclid and the Square Kilometre Array

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