Multiscale Inference of Matter Fields and Baryon Acoustic Oscillations from the Ly-alpha Forest

Abstract

We present a novel Bayesian method for the joint reconstruction of cosmological matter density fields, peculiar velocities and power-spectra in the quasi-nonlinear regime. We study its applicability to the Ly-alpha forest based on multiple quasar absorption spectra. Our approach to this problem includes a multiscale, nonlinear, two-step scheme since the statistics describing the matter distribution depends on scale, being strongly non-Gaussian on small scales (< 0.1 h^{-1} Mpc) and closely lognormal on scales >~10 h^{-1} Mpc. The first step consists on performing 1D highly resolved matter density reconstructions along the line-of-sight towards z~2-3 quasars based on an arbitrary non-Gaussian univariate model for matter statistics. The second step consists on Gibbs-sampling based on conditional PDFs. The matter density field is sampled in real space with Hamiltonian-sampling using the Poisson/Gamma-lognormal model, while redshift distortions are corrected with linear Lagrangian perturbation theory. The power-spectrum of the lognormal transformed variable which is Gaussian distributed (and thus close to the linear regime) can consistently be sampled with the inverse Gamma distribution function. We test our method through numerical N-body simulations with a computational volume large enough (> 1 h^{-3} Gpc^3) to show that the linear power-spectra are nicely recovered over scales larger than >~20 h^{-1} Mpc, i.e. the relevant range where features imprinted by the baryon-acoustics oscillations (BAOs) appear.

14 pages, 7 figures; accepted in MNRAS 2011 October 12, in original form 2010 November 29, Publication Date: 02/2012

References in corpus (14)

• Measuring the Baryon Acoustic Oscillation scale using the SDSS and 2dFGRS
• The detectability of baryonic acoustic oscillations in future galaxy surveys
• Cosmological baryonic and matter densities from 600,000 SDSS Luminous Red Galaxies with photometric redshifts
• Dark energy and curvature from a future baryonic acoustic oscillation survey using the Lyman-alpha forest
• Bayesian reconstruction of the cosmological large-scale structure: methodology, inverse algorithms and numerical optimization
• Fast Hamiltonian sampling for large scale structure inference
• Bayesian power-spectrum inference for Large Scale Structure data
• Cosmic Cartography of the Large-Scale Structure with Sloan Digital Sky Survey Data Release 6
• Recovering the nonlinear density field from the galaxy distribution with a Poisson-Lognormal filter
• Fast optimal CMB power spectrum estimation with Hamiltonian sampling
• Rejuvenating Power Spectra II: the Gaussianized galaxy density field
• The Acoustic Peak in the Lyman Alpha Forest
• Observational biases in Lagrangian reconstructions of cosmic velocity fields
• Cosmic density field reconstruction from Ly-alpha forest data

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