Consistency relations for large-scale structures: Applications  for the integrated Sachs-Wolfe effect and the kinematic Sunyaev-Zeldovich effect

Rizzo, Luca Alberto; Mota, David F.; Valageas, Patrick

doi:10.1051/0004-6361/201730441

Cited by 8 publications

(7 citation statements)

References 24 publications

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“…When studying higher-order statistics, it is useful to establish robust relations between correlation functions. The most compelling examples are the consistency relations for LSS in ΛCDM [23][24][25], which relate an n-point function of the density contrast to an (n + 1)-point function in the limit in which one of the (n + 1) momenta becomes much smaller than the others (see [26] for an extension of the consistency relations to multiple soft limits and redshift space; see also [27,28] for an example of consistency relations in the late-time Universe involving also the velocity and [29] for a verification of the consistency relations in N -body simulations). These relations hold non-perturbatively in the short-scale physics because they follow from symmetries of the fluid and gravitational equations.…”

Section: Introductionmentioning

confidence: 99%

Consistency relations for large-scale structure in modified gravity and the matter bispectrum

Crisostomi,

Lewandowski,

Vernizzi

2019

Preprint

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We study perturbation theory for large-scale structure in the most general scalar-tensor theories propagating a single scalar degree of freedom, which include Horndeski theories and beyond. We model the parameter space using the effective field theory of dark energy. For Horndeski theories, the gravitational field and fluid equations are invariant under a combination of time-dependent transformations of the coordinates and fields. This symmetry fixes the perturbation-theory kernels in the squeezed limit and ensures that the well-known consistency relations for large-scale structure, originally derived in general relativity, hold in modified gravity as well. For theories beyond Horndeski, instead, the gravitational field and fluid equations are invariant under separate transformations. In the absence of a common symmetry, the perturbation-theory kernels are modified in the squeezed limit and the consistency relations for large-scale structure do not hold. We show, however, that the modification of the squeezed limit depends only on the linear theory. We investigate the observational consequences of this violation by computing the matter bispectrum. In the squeezed limit, the largest effect is expected when considering the cross-correlation between different tracers. Moreover, the individual contributions to the 1-loop matter power spectrum do not cancel in the infrared limit of the momentum integral, modifying the power spectrum on non-linear scales.

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Section: Introductionmentioning

confidence: 99%

Consistency relations for large-scale structure in modified gravity and the matter bispectrum

Crisostomi,

Lewandowski,

Vernizzi

2019

Preprint

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“…Furthermore, since the ISW effect depends on the time evolution of gravitational potentials, correlations of ISW modes with other tracer fields effectively probe unequaltime correlations of the cosmic density field, which are otherwise difficult to access in observations. In general relativity and for Gaussian initial conditions, these correlations must obey consistency relations [57,58] in the squeezed limit, similar to those that apply for equal-time density correlations [59][60][61]. Deviations from these relations would signal a violation of the equivalence principle or the presence of primordial non-Gaussianity [58,62,63], and could potentially be checked by correlating reconstructed ISW modes with two or more modes of another tracer.…”

Section: Modified Gravitymentioning

confidence: 99%

“…In general relativity and for Gaussian initial conditions, these correlations must obey consistency relations [57,58] in the squeezed limit, similar to those that apply for equal-time density correlations [59][60][61]. Deviations from these relations would signal a violation of the equivalence principle or the presence of primordial non-Gaussianity [58,62,63], and could potentially be checked by correlating reconstructed ISW modes with two or more modes of another tracer.…”

Section: Modified Gravitymentioning

confidence: 99%

Cosmic variance mitigation in measurements of the integrated Sachs-Wolfe effect

et al. 2019

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The cosmic microwave background (CMB) is sensitive to the recent phase of accelerated cosmic expansion through the late-time integrated Sachs-Wolfe (ISW) effect, which manifests as secondary temperature fluctuations on large angular scales. However, the large cosmic variance from primary CMB fluctuations limits the usefulness of this effect in constraining dark energy or modified gravity. In this paper, we propose a novel method to separate the ISW signal from the primary signal using gravitational lensing, based on the fact that the ISW signal is, to a good approximation, not gravitationally lensed. We forecast how well we can isolate the ISW signal for different experimental configurations, and discuss various applications, including modified gravity, large-scale CMB anomalies, and measurements of local-type primordial non-Gaussianity. Although not within reach of current experiments, the proposed method is a unique way to remove the cosmic variance of the primary signal, allowing for better CMB-based constraints on late-time phenomena than previously thought possible.

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“…These higher order cross-correlations can, in principle, be used to better characterize clustering of the two fields (e.g. Schneider & Watts 2005;Munshi et al 2014;Rizzo et al 2017).…”

Section: Introductionmentioning

confidence: 99%

Cosmological cross-correlations and nearest neighbor distributions

Banerjee,

Abel

2021

Preprint

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Cross-correlations between datasets are used in many different contexts in cosmological analyses. Recently, 𝑘-Nearest Neighbor Cumulative Distribution Functions (𝑘NN-CDF) were shown to be sensitive probes of cosmological (auto) clustering. In this paper, we extend the framework of nearest neighbor measurements to describe joint distributions of, and correlations between, two datasets. We describe the measurement of joint 𝑘NN-CDFs, and show that these measurements are sensitive to all possible connected 𝑁-point functions that can be defined in terms of the two datasets. We describe how the cross-correlations can be isolated by combining measurements of the joint 𝑘NN-CDFs and those measured from individual datasets. We demonstrate the application of these measurements in the context of Gaussian density fields, as well as for fully nonlinear cosmological datasets. Using a Fisher analysis, we show that measurements of the halo-matter cross-correlations, as measured through nearest neighbor measurements are more sensitive to the underlying cosmological parameters, compared to traditional two-point cross-correlation measurements over the same range of scales. Finally, we demonstrate how the nearest neighbor cross-correlations can robustly detect cross correlations between sparse samples -the same regime where the two-point cross-correlation measurements are dominated by noise.

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Consistency relations for large-scale structures: Applications for the integrated Sachs-Wolfe effect and the kinematic Sunyaev-Zeldovich effect

Cited by 8 publications

References 24 publications

Consistency relations for large-scale structure in modified gravity and the matter bispectrum

Consistency relations for large-scale structure in modified gravity and the matter bispectrum

Cosmic variance mitigation in measurements of the integrated Sachs-Wolfe effect

Cosmological cross-correlations and nearest neighbor distributions

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