Reconstructing the Primordial Spectrum from WMAP Data by the Cosmic Inversion Method

Abstract

We reconstruct the primordial spectrum of the curvature perturbation, $P(k)$, from the observational data of the Wilkinson Microwave Anisotropy Probe (WMAP) by the cosmic inversion method developed recently. In contrast to conventional parameter-fitting methods, our method can potentially reproduce small features in $P(k)$ with good accuracy. As a result, we obtain a complicated oscillatory $P(k)$. We confirm that this reconstructed $P(k)$ recovers the WMAP angular power spectrum with resolution up to $\Delta \ell \simeq 5$. Similar oscillatory features are found, however, in simulations using artificial cosmic microwave background data generated from a scale-invariant $P(k)$ with random errors that mimic observation. In order to examine the statistical significance of the nontrivial features, including the oscillatory behaviors, therefore, we consider a method to quantify the deviation from scale-invariance and apply it to the $P(k)$ reconstructed from the WMAP data. We find that there are possible deviations from scale-invariance around $k\simeq 1.5\times 10^{-2}$ and $2.6\times 10^{-2}{\mathrm{Mpc}}^{-1}$.

20 pages, 16 figures, version to be published in ApJ

References in corpus (38)

• First Year Wilkinson Microwave Anisotropy Probe (WMAP) Observations: Determination of Cosmological Parameters
• First Year Wilkinson Microwave Anisotropy Probe (WMAP) Observations: Preliminary Maps and Basic Results
• 4-Year COBE DMR Cosmic Microwave Background Observations: Maps and Basic Results
• First Year Wilkinson Microwave Anisotropy Probe (WMAP) Observations: Implications for Inflation
• First Year Wilkinson Microwave Anisotropy Probe (WMAP) Observations: Tests of Gaussianity
• A high resolution foreground cleaned CMB map from WMAP
• Anisotropies in the Cosmic Microwave Background: An Analytic Approach
• Suppressing the lower Multipoles in the CMB Anisotropies
• Reconstructing the primordial power spectrum
• Is the Low CMB Quadrupole a Signature of Spatial Curvature?
• The Imprint of Gravitational Waves on the Cosmic Microwave Background
• Does the small CMB quadrupole moment suggest new physics?
• A Maximum Likelihood Analysis of the Low CMB Multipoles from WMAP
• Separating the Early Universe from the Late Universe: cosmological parameter estimation beyond the black box
• Effects of the Sound Speed of Quintessence on the Microwave Background and Large Scale Structure
• Double Inflation and the Low CMB Quadrupole
• Polarization of the Microwave Background due to Primordial Gravitational Waves
• Model-Independent Reconstruction of the Primordial Power Spectrum from WMAP Data
• The Statistical Significance of the Low CMB Mulitipoles
• CMB Power Spectrum from Noncommutative Spacetime
• Cosmology in the Next Millennium: Combining MAP and SDSS Data to Constrain Inflationary Models
• Inflation with a running spectral index in supergravity
• Running of the Scalar Spectral Index from Inflationary Models
• 2-point anisotropies in WMAP and the Cosmic Quadrupole
• Chaotic hybrid new inflation in supergravity with a running spectral index
• Inflation model with lower multipoles of the CMB suppressed
• Reconstructing the inflationary power spectrum from CMBR data
• An inflation model with large variations in spectral index
• Non-minimally Coupled Tachyon and Inflation
• Cosmic Inversion: Reconstructing primordial spectrum from CMB anisotropy
• Large-scale power in the CMB and new physics: an analysis using Bayesian model comparison
• Cosmic microwave background constraints on multi-connected spherical spaces
• Model Independent Primordial Power Spectrum from Maxima, Boomerang, and DASI Data
• Direct Wavelet Expansion of the Primordial Power Spectrum
• Wavelet Band Powers of the Primordial Power Spectrum from CMB Data
• Cosmic Inversion II --An iterative method for reproducing the primordial spectrum from the CMB data--
• Grand Unified Inflation Confronts WMAP
• Model-Independent Measurement of the Primordial Power Spectrum

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• Multiple inflation and the WMAP 'glitches'
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• Multiple inflation and the WMAP 'glitches' II. Data analysis and cosmological parameter extraction
• Possible Explanation to Low CMB Quadrupole
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• On Minimally-Parametric Primordial Power Spectrum Reconstruction and the Evidence for a Red Tilt
• Estimation of Primordial Spectrum with post-WMAP 3 year data
• Features in the Primordial Spectrum from WMAP: A Wavelet Analysis
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• 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
• Testing for double inflation with WMAP
• Non-parametric reconstruction of the primordial power spectrum at horizon scales from WMAP data
• Measuring the primordial power spectrum: Principal component analysis of the cosmic microwave background
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• Reconstruction of the Primordial Power Spectrum by Direct Inversion
• Features in the primordial power spectrum? A frequentist analysis
• Constraining inflation with future galaxy redshift surveys
• A new search for features in the primordial power spectrum
• Reconstructing the primordial power spectrum from the CMB
• Nongaussianity from Particle Production During Inflation
• Smooth hybrid inflation in supergravity with a running spectral index and early star formation
• Band-power reconstruction of the primordial fluctuation spectrum by the maximum likelihood reconstruction method
• Cosmic Discordance: Detection of a modulation in the primordial fluctuation spectrum
• Reconstruction of the primordial fluctuation spectrum from the five-year WMAP data by the cosmic inversion method with band-power decorrelation analysis
• Reconstructing the Primordial Spectrum with CMB Temperature and Polarization
• Dark Radiation and Inflationary Freedom after Planck 2015
• Probing Inflation and Dark Energy with Current Cosmological Observations
• Inflationary Freedom and Cosmological Neutrino Constraints
• Reconstruction of the primordial power spectrum from CMB data
• Making waves on CMB power spectrum and inflaton dynamics
• Light Sterile Neutrinos and Inflationary Freedom
• Primordial Power Spectrum features and $f_{NL}$ constraints
• PRISM: Sparse Recovery of the Primordial Power Spectrum
• CMB anomalies and the effects of local features of the inflaton potential
• Effects of local features of the inflaton potential on the spectrum and bispectrum of primordial perturbations
• Uncorrelated estimates of the primordial power spectrum
• Scale dependence of the primordial spectrum from combining the three-year WMAP, Galaxy Clustering, Supernovae, and Lyman-alpha forests
• Searching for local features in primordial power spectrum using genetic algorithms
• Primordial power spectrum versus extension parameters beyond the standard model
• Signature of short distance physics on inflation power spectrum and CMB anisotropy
• Initial conditions of the universe: A sign of the sine mode
• Constraining the primordial power spectrum using a differentiable likelihood
• Cosmology with CMB anisotropy
• Cosmological quests in the CMB sky
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