Model selection applied to reconstruction of the Primordial Power Spectrum

Abstract

The preferred shape for the primordial spectrum of curvature perturbations is determined by performing a Bayesian model selection analysis of cosmological observations. We first reconstruct the spectrum modelled as piecewise linear in \log k between nodes in k-space whose amplitudes and positions are allowed to vary. The number of nodes together with their positions are chosen by the Bayesian evidence, so that we can both determine the complexity supported by the data and locate any features present in the spectrum. In addition to the node-based reconstruction, we consider a set of parameterised models for the primordial spectrum: the standard power-law parameterisation, the spectrum produced from the Lasenby & Doran (LD) model and a simple variant parameterisation. By comparing the Bayesian evidence for different classes of spectra, we find the power-law parameterisation is significantly disfavoured by current cosmological observations, which show a preference for the LD model.

arXiv commentMinor changes to match version accepted by JCAP

References in corpus (29)

• Seven-Year Wilkinson Microwave Anisotropy Probe (WMAP) Observations: Cosmological Interpretation
• Efficient Computation of CMB anisotropies in closed FRW models
• Cosmological parameters from CMB and other data: a Monte-Carlo approach
• MultiNest: an efficient and robust Bayesian inference tool for cosmology and particle physics
• Multimodal nested sampling: an efficient and robust alternative to MCMC methods for astronomical data analysis
• Spectra and Light Curves of Six Type Ia Supernovae at 0.511 < z < 1.12 and the Union2 Compilation
• A Redetermination of the Hubble Constant with the Hubble Space Telescope from a Differential Distance Ladder
• A Measurement of the Damping Tail of the Cosmic Microwave Background Power Spectrum with the South Pole Telescope
• Cosmological Constraints from the Clustering of the Sloan Digital Sky Survey DR7 Luminous Red Galaxies
• The Atacama Cosmology Telescope: Cosmological Parameters from the 2008 Power Spectra
• Suppressing the lower Multipoles in the CMB Anisotropies
• Reconstructing the primordial power spectrum
• Is the Low CMB Quadrupole a Signature of Spatial Curvature?
• The Atacama Cosmology Telescope: a measurement of the primordial power spectrum
• On the APM power spectrum and the CMB anisotropy: Evidence for a phase transition during inflation?
• Closed Universes, de Sitter Space and Inflation
• A Bayesian analysis of the primordial power spectrum
• The Shape of the Primordial Power Spectrum: A Last Stand Before Planck
• Non-parametric reconstruction of the primordial power spectrum at horizon scales from WMAP data
• On what scale should inflationary observables be constrained?
• Bayesian optimal reconstruction of the primordial power spectrum
• Features in the primordial power spectrum? A frequentist analysis
• WMAP 3-year primordial power spectrum
• Cosmic Discordance: Detection of a modulation in the primordial fluctuation spectrum
• Primordial Power Spectrum Reconstruction
• Reconstruction of the primordial power spectrum from CMB data
• A Bayesian study of the primordial power spectrum from a novel closed universe model
• Uncorrelated estimates of the primordial power spectrum
• Conformal models of de Sitter space, initial conditions for inflation and the CMB

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