Application of cross correlations between CMB and large-scale structure to constraints on the primordial non-Gaussianity

Takeuchi, Yoshitaka; Ichiki, Kiyotomo; Matsubara, Takahiko

doi:10.1103/physrevd.85.043518

Cited by 15 publications

(18 citation statements)

References 61 publications

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“…This improvement stems from the reduction of the galaxy bias uncertainty by cross correlating the different observables [11,73,88]. From the transverse mode information in the 2-dimensional angular correlations, the galaxy bias can be inferred from the ratios of the galaxy power spectrum (dependent on the bias squared), the lensing shear power (independent of the bias) and their cross correlation (linearly dependent on the bias), because they have the different dependence on the bias.…”

Section: Resultsmentioning

confidence: 99%

“…For the angular power spectrum, we consider the CMB and the photometric redshift survey observables (T, E, ψ, {g}, {γ}). We take into account the tomographic survey, and {g} = {g 1 , .., g N To take account of the different sky coverage for the CMB and the photometric redshift surveys, we define the total Fisher matrix for the angular power spectrum as [73];…”

Section: The Fisher Matrix For the Angular Power Spectrummentioning

confidence: 99%

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Probing neutrinos from Planck and forthcoming galaxy redshift surveys

Takeuchi

Kadota

2014

J. Cosmol. Astropart. Phys.

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Abstract.We investigate how much the constraints on the neutrino properties can be improved by combining the CMB, the photometric and spectroscopic galaxy redshift surveys which include the CMB lensing, galaxy lensing tomography, galaxy clustering and redshift space distortion observables. We pay a particular attention to the constraint on the neutrino mass in view of the forthcoming redshift surveys such as the Euclid satellite and the LSST survey along with the Planck CMB lensing measurements. Combining the transverse mode information from the angular power spectrum and the longitudinal mode information from the spectroscopic survey with the redshift space distortion measurements can determine the total neutrino mass with the projected error of O(0.02)eV. Our analysis fixes the mass splittings among the neutrino species to be consistent with the neutrino oscillation data, and we accordingly study the sensitivity of our parameter estimations on the minimal neutrino mass. The cosmological measurement of the total neutrino mass can distinguish between the normal and inverted mass hierarchy scenarios if the minimal neutrino mass 0.005 eV with the predicted 1-σ uncertainties taken into account.

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Section: Resultsmentioning

confidence: 99%

Section: The Fisher Matrix For the Angular Power Spectrummentioning

confidence: 99%

Probing neutrinos from Planck and forthcoming galaxy redshift surveys

Takeuchi

Kadota

2014

J. Cosmol. Astropart. Phys.

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“…This is clearly seen in the 2 The expected errors on f NL for HSC are somewhat degraded compared to the previous study by Refs. [6,7]. These differences mainly come from the choice of minimum multipole, min .…”

Section: Forecast Constraints On Primordial Non-gaussianitymentioning

confidence: 99%

Constraining higher-order parameters for primordial non-Gaussianities from power spectra and bispectra of imaging surveys

et al. 2016

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We investigate the statistical power of higher-order statistics and cross-correlation statistics to constrain the primordial non-Gaussianity from the imaging surveys. In particular, we consider the local-type primordial nonGaussianity and discuss how well one can tightly constrain the higher-order non-Gaussian parameters (g NL and τ NL ) as well as the leading order parameter f NL from the halo/galaxy clustering and weak gravitational lensing measurements. Making use of a strong scale-dependent behavior in the galaxy/halo clustering, Fisher matrix analysis reveals that the bispectra can break the degeneracy between non-Gaussian parameters ( f NL , g NL and τ NL ) and this will give simultaneous constraints on those three parameters. The combination of cross-correlation statistics further improves the constraints by factor of 2. As a result, upcoming imaging surveys like the Large Synoptic Survey Telescope have the potential to improve the constraints on the primordial non-Gaussianity much tighter than those obtained from the CMB measurement by Planck, giving us an opportunity to test the single-sourced consistency relation, τ NL ≥ (36/25) f 2 NL .

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“…If occurring, PNG would have a significant effect both on CMB and cosmic structures. As a matter of fact, the issue of constraining deviations from primordial Gaussianity by using structure formation and evolution has recently attracted much attention in the literature, with efforts directed towards the abundance of dark matter halos [11][12][13][14][15][16], halo biasing [17][18][19][20][21][22]), galaxy bispectrum [23,24], mass density distribution [25] and topology [26,27], integrated Sachs-Wolfe effect [28][29][30], Lyα flux from low-density intergalactic medium [31], 21−cm fluctuations [32,33], reionization [34], and weak lensing peak counts [35,36]. PNG is one of the very few handle that we have on the prerecombination universe, and it is hence important to study it in detail and with different probes.…”

Section: Introductionmentioning

confidence: 99%

Constraining primordial non-Gaussianity with cosmological weak lensing: shear and flexion

Fedeli

Bartelmann

Moscardini

2012

J. Cosmol. Astropart. Phys.

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We examine the cosmological constraining power of future large-scale weak lensing surveys on the model of the ESA planned mission Euclid, with particular reference to primordial non-Gaussianity. Our analysis considers several different estimators of the projected matter power spectrum, based on both shear and flexion. We review the covariance and Fisher matrix for cosmic shear and evaluate those for cosmic flexion and for the cross-correlation between the two. The bounds provided by cosmic shear alone are looser than previously estimated, mainly due to the reduced sky coverage and background number density of sources for the latest Euclid specifications. New constraints for the local bispectrum shape, marginalized over σ 8 , are at the level of ∆ f NL ∼ 100, with the precise value depending on the exact multipole range that is considered in the analysis. We consider three additional bispectrum shapes, for which the cosmic shear constraints range from ∆ f NL ∼ 340 (equilateral shape) up to ∆ f NL ∼ 500 (orthogonal shape). Also, constraints on the level of non-Gaussianity and on the amplitude of the matter power spectrum σ 8 are almost perfectly anti-correlated, except for the orthogonal bispectrum shape for which they are correlated. The competitiveness of cosmic flexion constraints against cosmic shear ones depends by and large on the galaxy intrinsic flexion noise, that is still virtually unconstrained. Adopting the very high value that has been occasionally used in the literature results in the flexion contribution being basically negligible with respect to the shear one, and for realistic configurations the former does not improve significantly the constraining power of the latter. Since the shear shot noise is white, while the flexion one decreases with decreasing scale, by considering high enough multipoles the two contributions have to become comparable. Extending the analysis up to ℓ max = 20, 000 cosmic flexion, while being still subdominant, improves the shear constraints by ∼ 10% when added. However on such small scales the highly non-linear clustering of matter, the impact of baryonic physics, and the non-Gaussian part of the covariance matrix make any error estimation uncertain. By considering lower, and possibly more realistic, values of the flexion intrinsic shape noise results in flexion constraining power being a factor of ∼ 2 better than that of shear, and the bounds on σ 8 and f NL being improved by a factor of ∼ 3 upon their combination.

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Application of cross correlations between CMB and large-scale structure to constraints on the primordial non-Gaussianity

Cited by 15 publications

References 61 publications

Probing neutrinos from Planck and forthcoming galaxy redshift surveys

Probing neutrinos from Planck and forthcoming galaxy redshift surveys

Constraining higher-order parameters for primordial non-Gaussianities from power spectra and bispectra of imaging surveys

Constraining primordial non-Gaussianity with cosmological weak lensing: shear and flexion

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