Combining perturbation theories with halo models for the matter bispectrum

Valageas, Patrick; Nishimichi, Takahiro

doi:10.1051/0004-6361/201116638

Cited by 39 publications

(96 citation statements)

References 75 publications

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“…(15) and (16) ensure that the 2-halo and 1-halo contributions decay on large scales so that the bispectrum goes to the perturbative prediction B pert . However, as found in Valageas & Nishimichi (2011b) and contrary to the situation encountered for the power spectrum, the standard oneloop perturbation theory prediction for B pert is well-behaved at high k (i.e. it is significantly smaller than the 1-halo contribution) and it is more accurate than two alternative resummations that have been investigated.…”

Section: Analytic Modelscontrasting

confidence: 59%

“…As described in Valageas & Nishimichi (2011b), the 3D matter bispectrum is obtained in a similar fashion as the sum of 3-halo, 2-halo and 1-halo terms,…”

Section: Analytic Modelsmentioning

confidence: 99%

“…(4) significantly underestimates the power spectrum on the transition scales (by ∼20%) even though it gives a good accuracy on larger scales (∼1%) and smaller scales (∼10%). In Valageas & Nishimichi (2011b) we devised a simple geometrical modification to Eq. (4), P tang (k), such that…”

Section: Analytic Modelsmentioning

confidence: 99%

“…As explained in Valageas & Nishimichi (2011b), the wavenumbers k − and k + are determined by the constraint that the reduced equilateral bispectrum,…”

Section: Analytic Modelsmentioning

confidence: 99%

“…The main point here is that the range [k − , k + ] is automatically determined from the shape of P 2H+1H (k) and B (k, k, k), and it evolves with redshift and with the initial power. We refer the reader to Valageas & Nishimichi (2011b) for further details.…”

Section: Analytic Modelsmentioning

confidence: 99%

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Modeling of weak-lensing statistics

Valageas

Sato

Nishimichi

2012

A&A

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Aims. We investigate the performance of an analytic model of the 3D matter distribution, which combines perturbation theory with halo models, for weak-lensing statistics. Methods. We compare our predictions for the weak-lensing convergence power spectrum and bispectrum with numerical simulations and fitting formulas proposed in previous works. Results. We find that this model provides better agreement with simulations than published fitting formulas. This shows that building on systematic and physically motivated models is a promising approach. Moreover, this makes explicit the link between the weaklensing statistics and the underlying properties of the 3D matter distribution, as a function of scale . Thus, we obtain the contributions to the lensing power spectrum and bispectrum that arise from perturbative terms (complete up to one-loop) and nonperturbative terms (e.g., "1-halo" term). Finally, we show that this approach recovers the dependence on cosmology (for realistic scenarios).

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Section: Analytic Modelscontrasting

confidence: 59%

“…As described in Valageas & Nishimichi (2011b), the 3D matter bispectrum is obtained in a similar fashion as the sum of 3-halo, 2-halo and 1-halo terms,…”

Section: Analytic Modelsmentioning

confidence: 99%

Section: Analytic Modelsmentioning

confidence: 99%

“…As explained in Valageas & Nishimichi (2011b), the wavenumbers k − and k + are determined by the constraint that the reduced equilateral bispectrum,…”

Section: Analytic Modelsmentioning

confidence: 99%

Section: Analytic Modelsmentioning

confidence: 99%

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Modeling of weak-lensing statistics

Valageas

Sato

Nishimichi

2012

A&A

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Covariance matrices for halo number counts and correlation functions

Valageas

Clerc

Pacaud

et al. 2011

A&A

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Aims. We study the mean number counts and two-point correlation functions, along with their covariance matrices, of cosmological surveys such as for clusters. In particular, we consider correlation functions averaged over finite redshift intervals, which are well suited to cluster surveys or populations of rare objects, where one needs to integrate over nonzero redshift bins to accumulate enough statistics. Methods. We develop an analytical formalism to obtain explicit expressions of all contributions to these means and covariance matrices, taking into account both shot-noise and sample-variance effects. We compute low-order as well as high-order (including non-Gaussian) terms. Results. We derive expressions for the number counts per redshift bins both for the general case and for the small window approximation. We estimate the range of validity of Limber's approximation and the amount of correlation between different redshift bins. We also obtain explicit expressions for the integrated 3D correlation function and the 2D angular correlation. We compare the relative importance of shot-noise and sample-variance contributions, and of low-order and high-order terms. We check the validity of our analytical results through a comparison with the Horizon full-sky numerical simulations, and we obtain forecasts for several future cluster surveys.

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Modeling of weak-lensing statistics

Valageas¹,

Sato²,

Nishimichi³

2012

A&A

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Aims. We investigate the performance of an analytic model of the 3D matter distribution, which combines perturbation theory with halo models, for weak-lensing configuration-space statistics. Methods. We compared our predictions for the weak-lensing convergence two-point and three-point correlation functions with numerical simulations and fitting formulas proposed in previous works. We also considered the second-and third-order moments of the smoothed convergence and of the aperture-mass. Results. As in our previous study of Fourier-space weak-lensing statistics, we find that our model agrees better with simulations than previously published fitting formulas. Moreover, we recover the dependence on cosmology of these weak-lensing statistics and we can describe multi-scale moments. This approach allows us to obtain the quantitative relationship between these integrated weak-lensing statistics and the various contributions to the underlying 3D density fluctuations, decomposed over perturbative, two-halo, or one-halo terms.

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Combining perturbation theories with halo models for the matter bispectrum

Cited by 39 publications

References 75 publications

Modeling of weak-lensing statistics

Modeling of weak-lensing statistics

Covariance matrices for halo number counts and correlation functions

Modeling of weak-lensing statistics

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