Primordial Power Spectrum Reconstruction

Abstract

In order to reconstruct the initial conditions of the universe it is important to devise a method that can efficiently constrain the shape of the power spectrum of primordial matter density fluctuations in a model-independent way from data. In an earlier paper we proposed a method based on the wavelet expansion of the primordial power spectrum. The advantage of this method is that the orthogonality and multiresolution properties of wavelet basis functions enable information regarding the shape of $P_{\mathrm{in}}(k)$ to be encoded in a small number of non-zero coefficients. Any deviation from scale-invariance can then be easily picked out. Here we apply this method to simulated data to demonstrate that it can accurately reconstruct an input $P_{\mathrm{in}}(k)$, and present a prescription for how this method should be used on future data.

4 pages, 2 figures. JCAP accepted version

References in corpus (8)

• First Year Wilkinson Microwave Anisotropy Probe (WMAP) Observations: Preliminary Maps and Basic Results
• Primordial power spectrum from WMAP
• Model-Independent Reconstruction of the Primordial Power Spectrum from WMAP Data
• Reconstructing the primordial power spectrum - a new algorithm
• Principal Power of the CMB
• Direct Wavelet Expansion of the Primordial Power Spectrum
• Reconstructing the Primordial Spectrum with CMB Temperature and Polarization
• Wavelet Band Powers of the Primordial Power Spectrum from CMB Data

Cited by in corpus (30)

• Features of heavy physics in the CMB power spectrum
• On the importance of heavy fields during inflation
• On Minimally-Parametric Primordial Power Spectrum Reconstruction and the Evidence for a Red Tilt
• Model selection applied to reconstruction of the Primordial Power Spectrum
• Estimation of Primordial Spectrum with post-WMAP 3 year data
• Features in the Primordial Spectrum from WMAP: A Wavelet Analysis
• Reconstruction of the Primordial Power Spectrum using Temperature and Polarisation Data from Multiple Experiments
• Is a step in the primordial spectral index favored by CMB data ?
• The Shape of the Primordial Power Spectrum: A Last Stand Before Planck
• Reconstruction of the primordial power spectrum of curvature perturbations using multiple data sets
• Measuring the primordial power spectrum: Principal component analysis of the cosmic microwave background
• Post-WMAP Assessment of Infrared Cutoff in the Primordial Spectrum from Inflation
• Reconstruction of the Primordial Power Spectrum by Direct Inversion
• Constraining inflation with future galaxy redshift surveys
• Reconstructing the primordial power spectrum from the CMB
• Band-power reconstruction of the primordial fluctuation spectrum by the maximum likelihood reconstruction method
• Reconstruction of the primordial fluctuation spectrum from the five-year WMAP data by the cosmic inversion method with band-power decorrelation analysis
• Complete WMAP Constraints on Bandlimited Inflationary Features
• Inflationary Freedom and Cosmological Neutrino Constraints
• Reconstruction of the primordial power spectrum from CMB data
• Light Sterile Neutrinos and Inflationary Freedom
• PRISM: Sparse Recovery of the Primordial Power Spectrum
• Uncorrelated estimates of the primordial power spectrum
• Searching for local features in primordial power spectrum using genetic algorithms
• Primordial power spectrum versus extension parameters beyond the standard model
• Initial conditions of the universe: A sign of the sine mode
• Bayesian inference methodology for Primordial Power Spectrum reconstructions from Large Scale Structure
• Cosmology with CMB anisotropy
• `Standard' Cosmological model & beyond with CMB
• J-PAS: forecast on the primordial power spectrum reconstruction