Cosmic Inversion II --An iterative method for reproducing the primordial spectrum from the CMB data--

Abstract

Pursuing the original idea proposed in our previous paper (Paper I), we improve the method to determine the shape of the initial curvature perturbation spectrum $P(k)$ from the CMB data. The thickness of the last scattering surface (LSS) and the integrated Sachs-Wolfe (ISW) effect, which we neglect in Paper I, are taken into account and an iterative method is newly developed. The new method can reproduce the primordial power spectra with a high accuracy, given the correct values of the cosmological parameters. Conversely, there appear spurious peaks and dips in the reconstructed power spectrum if we use the cosmological parameters slightly different from the true values, while there appear regions of negative $P(k)$ in some cases if we use substantially different values. In other words, the tacit assumption that the cosmological parameters can be determined for an assumed initial spectrum is verified by our reconstruction method. In addition, it could be a new tool to constrain the cosmological parameters without recourse to models of the primordial power spectra.

9 pages, 4 figures. Accepted for publication in JCAP

References in corpus (1)

• Separating the Early Universe from the Late Universe: cosmological parameter estimation beyond the black box

Cited by in corpus (23)

• Five-Year Wilkinson Microwave Anisotropy Probe (WMAP) Observations: Cosmological Interpretation
• Features and New Physical Scales in Primordial Observables: Theory and Observation
• Primordial power spectrum from WMAP
• Reconstructing the primordial power spectrum - a new algorithm
• Estimation of Primordial Spectrum with post-WMAP 3 year data
• Features in the Primordial Spectrum from WMAP: A Wavelet Analysis
• Is a step in the primordial spectral index favored by CMB data ?
• Reconstruction of the primordial power spectrum of curvature perturbations using multiple data sets
• Reconstructing the Primordial Spectrum from WMAP Data by the Cosmic Inversion Method
• 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
• Inflationary Freedom and Cosmological Neutrino Constraints
• Light Sterile Neutrinos and Inflationary Freedom
• Primordial Power Spectrum features and $f_{NL}$ constraints
• 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
• 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
• Reconstructing the EFT of Inflation from Cosmological Data
• `Standard' Cosmological model & beyond with CMB