Analytic model for the bispectrum of galaxies in redshift space

Smith, R. E.; Sheth, Ravi K.

doi:10.1103/physrevd.78.023523

Cited by 79 publications

(93 citation statements)

References 96 publications

(154 reference statements)

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“…[22]. In the present paper, as a generalization of a previous work [22], we present an analytic expression for the bispectrum applying the halo approach with the HOD description with central galaxies and satellite galaxies. We focus on the bispectrum B g (t, k 1 , k 2 , k 3 ), which is defined by…”

Section: Bispectrum In the Halo Approach A Variables For The Bimentioning

confidence: 91%

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Analytic halo approach to the bispectrum of galaxies in redshift space

Yamamoto

Nan

2017

Phys. Rev. D

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We present an analytic formula for the galaxy bispectrum in redshift space on the basis of the halo approach description with the halo occupation distribution of central galaxies and satellite galaxies. This work is an extension of a previous work on the galaxy power spectrum, which illuminated the significant contribution of satellite galaxies to the higher multipole spectrum through the non-linear redshift space distortions of their random motions. Behaviors of the multipoles of the bispectrum are compared with results of numerical simulations assuming a halo occupation distribution of the LOWZ sample of the SDSS-III BOSS survey. Also presented are analytic approximate formulas for the multipoles of the bispectrum, which is useful to understanding their characteristic properties. We demonstrate that the Fingers of God effect is quite important for the higher multipoles of the bispectrum in redshift space, depending on the halo occupation distribution parameters.

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Section: Bispectrum In the Halo Approach A Variables For The Bimentioning

confidence: 91%

“…In Ref. [22], the authors presented an analytic model of the bispectrum of galaxies in redshift space with the halo approach. However, our work utilizes a framework with central galaxies and satellite galaxies, which plays a crucial role in the theoretical formula.…”

Section: Introductionmentioning

confidence: 99%

Analytic halo approach to the bispectrum of galaxies in redshift space

Yamamoto

Nan

2017

Phys. Rev. D

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“…It would also be interesting to use this approach to describe velocity fields, and to take into account redshift-space distortions (Smith et al 2008). However, we leave these tasks to future studies.…”

Section: Resultsmentioning

confidence: 99%

Combining perturbation theories with halo models for the matter bispectrum

Valageas

Nishimichi

2011

A&A

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Aims. We investigate how unified models should be built to be able to predict the matter-density bispectrum (and power spectrum) from very large to small scales and that are at the same time consistent with perturbation theory at low k and with halo models at high k. Methods. We use a Lagrangian framework to decompose the bispectrum into "3-halo", "2-halo", and "1-halo" contributions, related to "perturbative" and "non-perturbative" terms. We describe a simple implementation of this approach and present a detailed comparison with numerical simulations. Results. We show that the 1-halo and 2-halo contributions contain counterterms that ensure their decay at low k, as required by physical constraints, and allow a better match to simulations. Contrary to the power spectrum, the standard 1-loop perturbation theory can be used for the perturbative 3-halo contribution because it does not grow too fast at high k. Moreover, it is much simpler and more accurate than two resummation schemes investigated in this paper. We obtain a good agreement with numerical simulations on both large and small scales, but the transition scales are poorly described by the simplest implementation. This cannot be amended by simple modifications to the halo parameters, but we show how it can be corrected for the power spectrum and the bispectrum through a simple interpolation scheme that is restricted to this intermediate regime. Then, we reach an accuracy on the order of 10% on mildly and highly nonlinear scales, while an accuracy on the order of 1% is obtained on larger weakly nonlinear scales. This also holds for the real-space two-point correlation function.

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“…in terms of the joint distribution of radial and tangential velocities. See [50,51] for examples of modeling this velocity distribution. Eq.…”

Section: Matter Velocity Fieldmentioning

confidence: 99%

Towards a self-consistent halo model for the nonlinear large-scale structure

Schmidt

2016

Phys. Rev. D

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The halo model is a theoretically and empirically well-motivated framework for predicting the statistics of the nonlinear matter distribution in the Universe. However, current incarnations of the halo model suffer from two major deficiencies: (i) they do not enforce the stress-energy conservation of matter; (ii) they are not guaranteed to recover exact perturbation theory results on large scales. Here, we provide a formulation of the halo model ("EHM ") that remedies both drawbacks in a consistent way, while attempting to maintain the predictivity of the approach. In the formulation presented here, mass and momentum conservation are guaranteed on large scales, and results of perturbation theory and the effective field theory can in principle be matched to any desired order on large scales. We find that a key ingredient in the halo model power spectrum is the halo stochasticity covariance, which has been studied to a much lesser extent than other ingredients such as mass function, bias, and profiles of halos. As written here, this approach still does not describe the transition regime between perturbation theory and halo scales realistically, which is left as an open problem. We also show explicitly that, when implemented consistently, halo model predictions do not depend on any properties of low-mass halos that are smaller than the scales of interest.

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Analytic model for the bispectrum of galaxies in redshift space

Cited by 79 publications

References 96 publications

Analytic halo approach to the bispectrum of galaxies in redshift space

Analytic halo approach to the bispectrum of galaxies in redshift space

Combining perturbation theories with halo models for the matter bispectrum

Towards a self-consistent halo model for the nonlinear large-scale structure

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