The non-linear redshift-space power spectrum of galaxies

Heavens, Alan; Matarrese, S.; Verde, Licia

doi:10.1111/j.1365-8711.1998.02052.x

Cited by 50 publications

(30 citation statements)

References 27 publications

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“…(15) is applied to every displacement kernel in Eq. (16), the expression of the three-point propagator in redshift space is obtained. The three-point propagator of mass, Γ ð2Þ m , is given by just substituting c ðnÞ X ¼ 0 into Eq.…”

Section: A Fundamental Equations Of the Integrated Perturbation Theorymentioning

confidence: 99%

“…The three-point propagator of mass, Γ ð2Þ m , is given by just substituting c ðnÞ X ¼ 0 into Eq. (16). In terms of the multipoint propagators, the power spectrum of biased objects, up to the one-loop approximation, is given by…”

Section: A Fundamental Equations Of the Integrated Perturbation Theorymentioning

confidence: 99%

“…(11) and (12) into Eq. (16), and transforming the integration variables as r ¼ k 1 =k, x ¼k ·k 1 , we have …”

Section: A the Power Spectra In Real Spacementioning

confidence: 99%

“…(15) in the formulas of the propagators in Eqs. (8) and (16). In those formulas, the Lagrangian kernels appear only in the form of k · L ðnÞ .…”

Section: The Power Spectra In Redshift Spacementioning

confidence: 99%

“…However, biasing effects in higher-order perturbation theory are not that simple. A popular model of the biasing in the context of nonlinear perturbation theory is the Eulerian local bias [16][17][18][19][20]. This model employs freely fitting parameters in every order of perturbation and is just a phenomenological model because the Eulerian bias is not definitely local in reality.…”

Section: Introductionmentioning

confidence: 99%

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Integrated perturbation theory and one-loop power spectra of biased tracers

Matsubara

2014

Phys. Rev. D

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General and explicit predictions from the integrated perturbation theory (iPT) for power spectra and correlation functions of biased tracers are derived and presented in the one-loop approximation. The iPT is a general framework of the nonlinear perturbation theory of cosmological density fields in the presence of nonlocal bias, redshift-space distortions, and primordial non-Gaussianity. Analytic formulas of auto and cross power spectra of nonlocally biased tracers in both real and redshift spaces are derived and the results are comprehensively summarized. The main difference from previous formulas derived by the present author is to include the effects of generally nonlocal Lagrangian bias and primordial non-Gaussianity, and the derivation method of the new formula is fundamentally different from the previous one. Relations to recent work on improved methods of nonlinear perturbation theory in the literature are clarified and discussed.

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Section: A Fundamental Equations Of the Integrated Perturbation Theorymentioning

confidence: 99%

Section: A Fundamental Equations Of the Integrated Perturbation Theorymentioning

confidence: 99%

“…(11) and (12) into Eq. (16), and transforming the integration variables as r ¼ k 1 =k, x ¼k ·k 1 , we have …”

Section: A the Power Spectra In Real Spacementioning

confidence: 99%

“…(15) in the formulas of the propagators in Eqs. (8) and (16). In those formulas, the Lagrangian kernels appear only in the form of k · L ðnÞ .…”

Section: The Power Spectra In Redshift Spacementioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Integrated perturbation theory and one-loop power spectra of biased tracers

Matsubara

2014

Phys. Rev. D

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Large-scale galaxy bias

2018

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Towards breaking the -bias degeneracy in density--velocity comparisons

Chodorowski

1999

Monthly Notices of the Royal Astronomical Society

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A B S T R A C T I derive a second-order local relation between the redshift-space mass density field and the real-space velocity field. This relation can be useful for comparisons between the cosmic density and peculiar velocity fields, for a number of reasons. First, relating the real-space velocity directly to the redshift-space density enables one to avoid the V-dependent reconstruction of the density field in real space. Secondly, the reconstruction of the threedimensional velocity field in redshift space, questionable because of its vorticity, is also unnecessary. Finally, a similar relation between the galaxy density field and the velocity field offers a way to break the V-bias degeneracy in density±velocity comparisons, when combined with an additional measurement of the redshift-space galaxy skewness. I derive the latter relation under the assumption of non-linear but local bias; accounting for stochasticity of bias is left for further study.

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The non-linear redshift-space power spectrum of galaxies

Cited by 50 publications

References 27 publications

Integrated perturbation theory and one-loop power spectra of biased tracers

Integrated perturbation theory and one-loop power spectra of biased tracers

Large-scale galaxy bias

Towards breaking the -bias degeneracy in density--velocity comparisons

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