Encircling the dark: constraining dark energy via cosmic density in spheres

Abstract

The recently published analytic probability density function for the mildly non-linear cosmic density field within spherical cells is used to build a simple but accurate maximum likelihood estimate for the redshift evolution of the variance of the density, which, as expected, is shown to have smaller relative error than the sample variance. This estimator provides a competitive probe for the equation of state of dark energy, reaching a few percent accuracy on wp and wa for a Euclid-like survey. The corresponding likelihood function can take into account the configuration of the cells via their relative separations. A code to compute one-cell density probability density functions for arbitrary initial power spectrum, top-hat smoothing and various spherical collapse dynamics is made available online so as to provide straightforward means of testing the effect of alternative dark energy models and initial power-spectra on the low-redshift matter distribution.

arXiv comment7 pages, replaced to match the MNRAS accepted version

References in corpus (19)

• Observational Evidence from Supernovae for an Accelerating Universe and a Cosmological Constant
• Efficient Computation of CMB anisotropies in closed FRW models
• Observational Probes of Cosmic Acceleration
• The SDSS-IV extended Baryon Oscillation Spectroscopic Survey: Overview and Early Data
• Constraining dark energy with SNe Ia and large-scale structure
• Probing dark energy using baryonic oscillations in the galaxy power spectrum as a cosmological ruler
• Galaxy Formation and Large-Scale Bias
• Photometric redshift analysis in the Dark Energy Survey Science Verification data
• Galaxy Clustering and Galaxy Bias in a Lambda-CDM Universe
• Non-Gaussian statistics of critical sets in 2 and 3D: Peaks, voids, saddles, genus and skeleton
• Deep 3 GHz Number Counts from a P(D) Fluctuation Analysis
• Back in the saddle: Large-deviation statistics of the cosmic log-density field
• Non-Gaussian Minkowski functionals & extrema counts in redshift space
• Statistics of cosmic density profiles from perturbation theory
• Can large-scale structure probe CMB-constrained non-Gaussianity?
• Nonlinear Effects in the Amplitude of Cosmological Density Fluctuations
• The joint statistics of mildly non-linear cosmological densities and slopes in count-in-cells
• The Real and Redshift Space Density Distribution Function for Large-Scale Structure in the Spherical Collapse Approximation
• Cell Count Moments in the Halo Model

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