scholarly journals Testing one-loop galaxy bias: Cosmological constraints from the power spectrum

2021 ◽  
Vol 104 (4) ◽  
Author(s):  
Andrea Pezzotta ◽  
Martin Crocce ◽  
Alexander Eggemeier ◽  
Ariel G. Sánchez ◽  
Román Scoccimarro
Keyword(s):  
Power Spectrum ◽  
Cosmological Constraints ◽  
Galaxy Bias

scholarly journals Exact joint likelihood of pseudo-Cℓ estimates from correlated Gaussian cosmological fields

2019 ◽  
Vol 491 (3) ◽  
pp. 3165-3181 ◽  
Author(s):  
Robin E Upham ◽  
Lee Whittaker ◽  
Michael L Brown
Keyword(s):  
Quadratic Form ◽  
Power Spectrum ◽  
Quadratic Forms ◽  
Joint Distribution ◽  
Large Scale ◽  
Power Spectra ◽  
Microwave Background ◽  
Cosmological Constraints ◽  
Statistical Precision ◽  
Joint Likelihood

ABSTRACT We present the exact joint likelihood of pseudo-Cℓ power spectrum estimates measured from an arbitrary number of Gaussian cosmological fields. Our method is applicable to both spin-0 fields and spin-2 fields, including a mixture of the two, and is relevant to cosmic microwave background (CMB), weak lensing, and galaxy clustering analyses. We show that Gaussian cosmological fields are mixed by a mask in such a way that retains their Gaussianity and derive exact expressions for the covariance of the cut-sky spherical harmonic coefficients, the pseudo-aℓms, without making any assumptions about the mask geometry. We then show that each auto or cross-pseudo-Cℓ estimator can be written as a quadratic form, and apply the known joint distribution of quadratic forms to obtain the exact joint likelihood of a set of pseudo-Cℓ estimates in the presence of an arbitrary mask. We show that the same formalism can be applied to obtain the exact joint likelihood of quadratic maximum likelihood power spectrum estimates. Considering the polarization of the CMB as an example, we show using simulations that our likelihood recovers the full, exact multivariate distribution of EE, BB, and EB pseudo-Cℓ power spectra. Our method provides a route to robust cosmological constraints from future CMB and large-scale structure surveys in an era of ever-increasing statistical precision.

scholarly journals The 6dF Galaxy Survey: cosmological constraints from the velocity power spectrum

2014 ◽  
Vol 444 (4) ◽  
pp. 3926-3947 ◽  
Author(s):  
Andrew Johnson ◽  
Chris Blake ◽  
Jun Koda ◽  
Yin-Zhe Ma ◽  
Matthew Colless ◽  
...  
Keyword(s):  
Power Spectrum ◽  
Cosmological Constraints

scholarly journals Weak lensing minima and peaks: Cosmological constraints and the impact of baryons

2020 ◽  
Vol 495 (3) ◽  
pp. 2531-2542 ◽  
Author(s):  
William R Coulton ◽  
Jia Liu ◽  
Ian G McCarthy ◽  
Ken Osato
Keyword(s):  
Power Spectrum ◽  
Neutrino Mass ◽  
Matter Density ◽  
Weak Lensing ◽  
Cosmological Constraints ◽  
Credible Intervals ◽  
Hydrodynamical Simulations ◽  
Non Gaussian ◽  
The Impact

ABSTRACT We present a novel statistic to extract cosmological information in weak lensing data: the lensing minima. We also investigate the effect of baryons on cosmological constraints from peak and minimum counts. Using the MassiveNuS simulations, we find that lensing minima are sensitive to non-Gaussian cosmological information and are complementary to the lensing power spectrum and peak counts. For an LSST-like survey, we obtain $95{{\ \rm per\ cent}}$ credible intervals from a combination of lensing minima and peaks that are significantly stronger than from the power spectrum alone, by $44{{\ \rm per\ cent}}$, $11{{\ \rm per\ cent}}$, and $63{{\ \rm per\ cent}}$ for the neutrino mass sum ∑mν, matter density Ωm, and amplitude of fluctuation As, respectively. We explore the effect of baryonic processes on lensing minima and peaks using the hydrodynamical simulations BAHAMAS and Osato15. We find that ignoring baryonic effects would lead to strong (≈4σ) biases in inferences from peak counts, but negligible (≈0.5σ) for minimum counts, suggesting lensing minima are a potentially more robust tool against baryonic effects. Finally, we demonstrate that the biases can in principle be mitigated without significantly degrading cosmological constraints when we model and marginalize the baryonic effects.

scholarly journals Cross-correlation between cosmological and astrophysical datasets: the Planck and Herschel case

2014 ◽  
Vol 10 (S306) ◽  
pp. 202-205 ◽  
Author(s):  
Federico Bianchini ◽  
Andrea Lapi
Keyword(s):  
Power Spectrum ◽  
Cross Correlation ◽  
Forthcoming Paper ◽  
Joint Analysis ◽  
Atlas Data ◽  
Λcdm Model ◽  
The Galaxy ◽  
The Cross ◽  
Galaxy Bias ◽  
Cross Power Spectrum

AbstractWe present the first measurement of the correlation between the map of the CMB lensing potential derived from the Planck nominal mission data and z ≳ 1.5 galaxies detected by Herschel-ATLAS (H-ATLAS) survey covering about 550 deg2. We detect the cross-power spectrum with a significance of ∼ 8.5σ, ruling out the absence of correlation at 9σ. We check detection with a number of null tests. The amplitude of cross-correlation and the galaxy bias are estimated using joint analysis of the cross-power spectrum and the galaxy survey auto-spectrum, which allows to break degeneracy between these parameters. The estimated galaxy bias is consistent with previous estimates of the bias for the H-ATLAS data, while the cross-correlation amplitude is higher than expected for a ΛCDM model. The content of this work is to appear in a forthcoming paper Bianchini, et al. (2014).

scholarly journals Mass bias evolution in tSZ cluster cosmology

2019 ◽  
Vol 626 ◽  
pp. A27 ◽  
Author(s):  
Laura Salvati ◽  
Marian Douspis ◽  
Anna Ritz ◽  
Nabila Aghanim ◽  
Arif Babul
Keyword(s):  
Power Spectrum ◽  
Galaxy Clusters ◽  
Power Law ◽  
Current Knowledge ◽  
Scaling Relations ◽  
Microwave Background ◽  
Cosmological Constraints ◽  
Mass Bias ◽  
Systematic Uncertainties ◽  
Number Counts

Galaxy clusters observed through the thermal Sunyaev–Zeldovich (tSZ) effect are a recent cosmological probe. The precision on the cosmological constraints is affected mainly by the current knowledge of cluster physics, which enters the analysis through the scaling relations. Here we aim to study one of the most important sources of systematic uncertainties, the mass bias, b. We have analysed the effects of a mass-redshift dependence, adopting a power-law parametrisation. We applied this parametrisation to the combination of tSZ number counts and power spectrum, finding a hint of redshift dependence that leads to a decreasing value of the mass bias for higher redshift. We tested the robustness of our results for different mass bias calibrations and a discrete redshift dependence. We find our results to be dependent on the clusters sample that we are considering, in particular obtaining an inverse (decreasing) redshift dependence when neglecting z <  0.2 clusters. We analysed the effects of this parametrisation on the combination of cosmic microwave background (CMB) primary anisotropies and tSZ galaxy clusters. We find a preferred constant value of mass bias, having (1 − b) = 0.62 ± 0.05. The corresponding value of b is too high with respect to weak lensing and numerical simulations estimations. Therefore we conclude that this mass-redshift parametrisation does not help in solving the remaining discrepancy between CMB and tSZ clusters observations.

Sign in / Sign up

Export Citation Format

Share Document