Measurement of $H(z)$ and $D_A(z)$ from the two-dimensional power spectrum of Sloan Digital Sky Survey luminous red galaxies

Abstract

We present a method to measure the Hubble parameter $H(z)$ and the angular diameter distance $D_A(z)$ simultaneously from the two-dimensional matter power spectrum from galaxy surveys with broad sky coverage. We validate this method by applying it to the LasDamas mock galaxy catalogs. Then we apply this method to Sloan Digital Sky Survey (SDSS) Data Release 7 and obtain measurements of ${\Omega }_m{h}^2=0.1268\pm 0.0085$, $H(z=0.35)=81.3\pm 3.8$km/s/Mpc, $D_A(z=0.35)=1037\pm 44$Mpc, without assuming a dark energy model or a flat universe. We also find that the derived parameters $H(0.35)r_s(z_d)/c=0.0431\pm 0.0018$ and $D_A(0.35)/r_s(z_d)=6.48\pm 0.25$. These are in excellent agreement with similar measurements from the two-dimensional correlation function of the same data.

References in corpus (15)

• The 2.5 m Telescope of the Sloan Digital Sky Survey
• Modeling the Anisotropic Two-Point Galaxy Correlation Function on Small Scales and Improved Measurements of H(z), D_A(z), and f(z)sigma_8(z) from the Sloan Digital Sky Survey DR7 Luminous Red Galaxies
• The WiggleZ Dark Energy Survey: Final data release and cosmological results
• The Clustering of Galaxies in the SDSS-III Baryon Oscillation Spectroscopic Survey (BOSS): measuring growth rate and geometry with anisotropic clustering
• The Clustering of Galaxies in the SDSS-III Baryon Oscillation Spectroscopic Survey: Including covariance matrix errors
• The clustering of galaxies in the SDSS-III Baryon Oscillation Spectroscopic Survey: Measuring D_A and H at z=0.57 from the Baryon Acoustic Peak in the Data Release 9 Spectroscopic Galaxy Sample
• Simultaneous constraints on the growth of structure and cosmic expansion from the multipole power spectra of the SDSS DR7 LRG sample
• Putting the Precision in Precision Cosmology: How accurate should your data covariance matrix be?
• Methods for Rapidly Processing Angular Masks of Next-Generation Galaxy Surveys
• The clustering of galaxies in the SDSS-III Baryon Oscillation Spectroscopic Survey: cosmological implications of the full shape of the clustering wedges in the data release 10 and 11 galaxy samples
• Clustering of luminous red galaxies I: large scale redshift space distortions
• Estimating Cosmological Parameter Covariance
• SPACE: the SPectroscopic All-sky Cosmic Explorer
• Toward More Realistic Forecasting of Dark Energy Constraints from Galaxy Redshift Surveys
• Window effect in the power spectrum analysis of a galaxy redshift survey

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• The clustering of galaxies in the SDSS-III Baryon Oscillation Spectroscopic Survey: Testing gravity with redshift-space distortions using the power spectrum multipoles
• Simultaneous constraints on the growth of structure and cosmic expansion from the multipole power spectra of the SDSS DR7 LRG sample
• The clustering of galaxies in the SDSS-III Baryon Oscillation Spectroscopic Survey: single-probe measurements from CMASS anisotropic galaxy clustering
• Looking at cosmic near-infrared background radiation anisotropies
• The Clustering of Galaxies in the Completed SDSS-III Baryon Oscillation Spectroscopic Survey: single-probe measurements from DR12 galaxy clustering -- towards an accurate model
• A comprehensive investigation on the slowing down of cosmic acceleration
• An accurate determination of the Hubble constant from Baryon Acoustic Oscillation datasets
• Geometric Biases in Power-Spectrum Measurements
• More Evidence for the Redshift Dependence of Color from the JLA Supernova Sample Using Redshift Tomography
• Lyman-tomography of cosmic infrared background fluctuations with Euclid: probing emissions and baryonic acoustic oscillations at z>10
• Comparing dark energy models with current observational data
• Impacts of different SNLS3 light-curve fitters on cosmological consequences of interacting dark energy models
• Clustering in the Simulated H$\alpha$ Galaxy Redshift Survey from Nancy Grace Roman Space Telescope
• Cosmological implications of different baryon acoustic oscillation data
• Determining $H_0$ using a model-independent method
• Modeling galaxy clustering on small scales to tighten constraints on dark energy and modified gravity
• Novel Cosmological Joint Constraints in Multidimensional Observables Space with Redshift-free Inferences
• A closer look at the cosmological implications of the $\Lambda$HDE model