Constraining Cosmological Parameters by the Cosmic Inversion Method

Abstract

We investigate the question of how tightly we can constrain the cosmological parameters by using the ``cosmic inversion'' method in which we directly reconstruct the power spectrum of primordial curvature perturbations, $P(k)$, from the temperature and polarization spectra of the cosmic microwave background (CMB). In a previous paper, we suggested that it may be possible to constrain the cosmological parameters using the fact that the reconstructed $P(k)$ does not depend on how many polarization data we incorporate in our inversion procedure if and only if the correct values of the cosmological parameters are used. The advantage of this approach is that we need no assumption regarding the functional form of $P(k)$. In this paper, we estimate typical errors in the determination of the cosmological parameters when our method is applied to the PLANCK observation. We investigate constraints on $h$, ${\Omega }_b$, ${\Omega }_m$, and ${\Omega }_{\Lambda }$ through Monte Carlo simulations.

18 pages, 15 figures, version to be published in Prog. Theor. Phys

References in corpus (7)

• 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
• First Year Wilkinson Microwave Anisotropy Probe (WMAP) Observations: Implications for Inflation
• First Year Wilkinson Microwave Anisotropy Probe (WMAP) Observations: Tests of Gaussianity
• Cosmic Confusion: Degeneracies among Cosmological Parameters Derived from Measurements of Microwave Background Anisotropies
• The Robustness of Inflation to Changes in Super-Planck-Scale Physics
• Reconstructing the primordial power spectrum

Cited by in corpus (30)

• Five-Year Wilkinson Microwave Anisotropy Probe (WMAP) Observations: Cosmological Interpretation
• Multiple inflation and the WMAP 'glitches' II. Data analysis and cosmological parameter extraction
• Primordial power spectrum from Planck
• Wiggly Whipped Inflation
• Estimation of Primordial Spectrum with post-WMAP 3 year data
• Is a step in the primordial spectral index favored by CMB data ?
• Non-Gaussianity from violation of slow-roll in multiple inflation
• Reconstruction of the primordial power spectrum of curvature perturbations using multiple data sets
• Reconciling the local void with the CMB
• Non-parametric reconstruction of the primordial power spectrum at horizon scales from WMAP data
• Reconstruction of broad features in the primordial spectrum and inflaton potential from Planck
• Generating primordial features at large scales in two field models of inflation
• Primordial power spectrum: a complete analysis with the WMAP nine-year data
• Ruling out the power-law form of the scalar primordial spectrum
• Band-power reconstruction of the primordial fluctuation spectrum by the maximum likelihood reconstruction method
• Primordial features and Planck polarization
• 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
• Cosmological parameter estimation with free-form primordial power spectrum
• Dark Radiation and Inflationary Freedom after Planck 2015
• Inflationary Freedom and Cosmological Neutrino Constraints
• Probing features in inflaton potential and reionization history with future CMB space observations
• Light Sterile Neutrinos and Inflationary Freedom
• Constraints on features in the inflationary potential from future Euclid data
• 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
• Assumptions of the primordial spectrum and cosmological parameter estimation
• Inflation Story: slow-roll and beyond
• Probing inflation with large-scale structure data: the contribution of information at small scales