Precision analysis of the redshift-space galaxy bispectrum

Ivanov, Mikhail M.; Philcox, Oliver H. E.; Nishimichi, Takahiro; Simonović, Marko; Takada, Masahiro; Zaldarriaga, Matías

doi:10.1103/physrevd.105.063512

Cited by 50 publications

(77 citation statements)

References 116 publications

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“…Upcoming surveys will not only improve measurements of the growth rate f (z), but will also obtain precise estimate of the two related functions, σ 8 (z) and (f σ 8 )(z). Spectroscopic galaxy surveys will allow for precise measurements of (f σ 8 )(z), while combinations of galaxy-galaxy lensing with RSD [31][32][33] or combining matter power spectrum and bispectrum [34][35][36][37][38], will break the f σ 8 degeneracy and extract measurements of f and σ 8 .…”

Section: Reconstructing W Bg and W Grmentioning

confidence: 99%

Measuring dark energy with expansion and growth

Pèrenon¹,

Martinelli²,

Maartens³

et al. 2022

Preprint

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We combine cosmic chronometer and growth of structure data to derive the redshift evolution of the dark energy equation of state w, using a novel agnostic approach. The background and perturbation equations lead to two expressions for w, one purely background-based and the other relying also on the growth rate of large-scale structure. We compare the features and performance of the growth-based w to the background w, using Gaussian Processes for the reconstructions. We find that current data is not precise enough for robust reconstruction of the two forms of w. By using mock data expected from next-generation surveys, we show that the reconstructions will be robust enough and that the growth-based w will out-perform the background w. Furthermore, any disagreement between the two forms of w will provide a new test for deviations from the standard model of cosmology.

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Section: Reconstructing W Bg and W Grmentioning

confidence: 99%

Measuring dark energy with expansion and growth

Pèrenon¹,

Martinelli²,

Maartens³

et al. 2022

Preprint

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“…Biased tracers of large-scale structure like galaxies can similarly be treated by identifying contributions to their clustering at each order allowed by fundamental symmetries [12][13][14][15][16][17]. Much of this modeling effort has focused on the clustering of galaxies in redshift-space, as measured in spectroscopic surveys, leading to models with accuracy well beyond the expected statistical uncertainty in any realistic surveys [18][19][20], and which have been tested extensively on existing surveys like BOSS and eBOSS [21][22][23][24][25][26]. The same models can also be used to predict weak-lensing measurements, particularly their cross-correlations with galaxy surveys (which allow for cleaner separation of scales by virture of being more localized in redshift).…”

Section: Introductionmentioning

confidence: 99%

Cosmological Analysis of Three-Dimensional BOSS Galaxy Clustering and Planck CMB Lensing Cross Correlations via Lagrangian Perturbation Theory

Chen,

White,

DeRose

et al. 2022

Preprint

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We present a formalism for jointly fitting pre-and post-reconstruction redshift-space clustering (RSD) and baryon acoustic oscillations (BAO) plus gravitational lensing (of the CMB) that works directly with the observed 2-point statistics. The formalism is based upon (effective) Lagrangian perturbation theory and a Lagrangian bias expansion, which models RSD, BAO and galaxy-lensing cross correlations within a consistent dynamical framework. As an example we present an analysis of clustering measured by the Baryon Oscillation Spectroscopic Survey in combination with CMB lensing measured by Planck. The post-reconstruction BAO strongly constrains the distance-redshift relation, the full-shape redshift-space clustering constrains the matter density and growth rate, and CMB lensing constrains the clustering amplitude. Using only the redshift space data we obtain Ω m = 0.303 ± 0.008, H 0 = 69.21 ± 0.78 and σ 8 = 0.743 ± 0.043. The addition of lensing information, even when restricted to the Northern Galactic Cap, improves constraints to Ω m = 0.300±0.008, H 0 = 69.21±0.77 and σ 8 = 0.707±0.035, in tension with CMB and cosmic shear constraints. The combination of Ω m and H 0 are consistent with Planck, though their constraints derive mostly from redshift-space clustering. The low σ 8 value are driven by cross correlations with CMB lensing in the low redshift bin (z 0.38) and at large angular scales, which show a 20% deficit compared to expectations from galaxy clustering alone. We conduct several systematics tests on the data and find none that could fully explain these tensions.

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“…Whilst the one-loop power spectrum and tree-level bispectrum have been described in detail before [e.g. 19,80], a complete model for the oneloop bispectrum has not been presented before (though some aspects can be found in [98]) and will be discussed below, with additional technical details found in the appendices. Here, we will restrict to Gaussian initial conditions; extension to primordial non-Gaussianity is discussed in §5.2.…”

Section: Theoretical Model For the One-loop Bispectrummentioning

confidence: 99%

“…To fully utilize this information, we require theoretical models capable of predicting the shape of the bispectrum and its dependence on the parameters of interest. This has been a subject of significant work, starting from the matter bispectrum [66][67][68][69][70][71][72][73], then incoroporating the effects of redshift-space distortions [37,[74][75][76] and galaxy bias [62,[77][78][79][80][81], most successfully using the Effective Field Theory of Large Scale Structure (hereafter EFTofLSS, [82,83], see [84] for a recent review).…”

Section: Introductionmentioning

confidence: 99%

“…In particular, one must account for the backreaction of short-scale physics on the large-scale bispectrum [66,67,85], long-wavelength displacements [86][87][88][89][90][91][92][93], and survey geometry [94,95], all of which can lead to biases in derived parameters if not properly accounted for. In [80] a complete model for the tree-level (leading-order) bispectrum of galaxies in redshift-space was presented and validated, including all the above effects (see also [19]). This allows for precise modelling of the angle-averaged bispectrum monopole, and has facilitated a number of analyses constraining ΛCDM parameters [15] and primordial non-Gaussianity [96,97].…”

Section: Introductionmentioning

confidence: 99%

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Cosmology with the Redshift-Space Galaxy Bispectrum Monopole at One-Loop Order

Philcox,

Ivanov,

Cabass

et al. 2022

Preprint

Self Cite

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We study the cosmological information content of the redshift-space galaxy bispectrum monopole at one-loop order in perturbation theory. We incorporate all effects necessary for comparison to data: fourth-order galaxy bias, infrared resummation (accounting for the non-linear evolution of baryon acoustic oscillations), ultraviolet counterterms, non-linear redshift-space distortions, stochastic contributions, projection, and binning effects. The model is implemented using FFTLog, and validated with the PT Challenge suite of N -body simulations, whose large volume allows for high-precision tests. Focusing on the mass fluctuation amplitude, σ 8 , and galaxy bias parameters, we find that including one-loop corrections allow us to significantly extend the range of scales over which the bispectrum can be modeled, and greatly tightens constraints on bias parameters. However, this does not lead to noticeable improvements in the σ 8 errorbar due to the necessary marginalization over a large number of nuisance parameters with conservative priors. Analyzing a BOSS-volume likelihood, we find that the addition of the one-loop bispectrum may lead to improvements on primordial non-Gaussianity constraints by 30% and on σ 8 by ≈ 10%, though we caution that this requires pushing the analysis to short-scales where the galaxy bias parameters may not be correctly recovered; this may lead to biases in the recovered parameter values. We conclude that restrictive priors from simulations or higher-order statistics such as the bispectrum multipoles will be needed in order to realize the full information content of the galaxy bispectrum.

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Precision analysis of the redshift-space galaxy bispectrum

Cited by 50 publications

References 116 publications

Measuring dark energy with expansion and growth

Measuring dark energy with expansion and growth

Cosmological Analysis of Three-Dimensional BOSS Galaxy Clustering and Planck CMB Lensing Cross Correlations via Lagrangian Perturbation Theory

Cosmology with the Redshift-Space Galaxy Bispectrum Monopole at One-Loop Order

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