Reconstruction of the primordial power spectrum from CMB data

Abstract

Measuring the deviation from scale invariance of the primordial power spectrum is a critical test of inflation. In this paper we reconstruct the shape of the primordial power spectrum of curvature perturbations from the cosmic microwave background data, including the 7-year Wilkinson Microwave Anisotropy Probe data and the Atacama Cosmology Telescope 148 GHz data, by using a binning method of a cubic spline interpolation in log-log space. We find that the power-law spectrum is preferred by the data and that the Harrison-Zel'dovich spectrum is disfavored at 95% confidence level. These conclusions hold with and without allowing for tensor modes, however the simpler model without tensors is preferred by the data. We do not find evidence for a feature in the primordial power spectrum - in full agreement with generic predictions from cosmological inflation.

9 pages, 2 figures, 3 tables, JCAP style, published version

References in corpus (8)

• Five-Year Wilkinson Microwave Anisotropy Probe (WMAP) Observations: Cosmological Interpretation
• Five-Year Wilkinson Microwave Anisotropy Probe (WMAP) Observations: Angular Power Spectra
• The Atacama Cosmology Telescope: a measurement of the primordial power spectrum
• Estimation of Primordial Spectrum with post-WMAP 3 year data
• Inflationary Potential Reconstruction for a WMAP Running Power Spectrum
• WMAP 3-year primordial power spectrum
• 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

Cited by in corpus (25)

• The Simons Observatory: Science goals and forecasts
• Taiji Program: Gravitational-Wave Sources
• CMB-S4 Science Case, Reference Design, and Project Plan
• The CosmoVerse White Paper: Addressing observational tensions in cosmology with systematics and fundamental physics
• Improved constraints on the primordial power spectrum at small scales from ultracompact minihalos
• The Gravitational-Wave Physics
• Obtaining the CMB anomalies with a bounce from the contracting phase to inflation
• BINGO: A code for the efficient computation of the scalar bi-spectrum
• Model selection applied to reconstruction of the Primordial Power Spectrum
• Oscillations in the inflaton potential: Complete numerical treatment and comparison with the recent and forthcoming CMB datasets
• Reconstruction of the primordial power spectrum of curvature perturbations using multiple data sets
• Scratches from the Past: Inflationary Archaeology through Features in the Power Spectrum of Primordial Fluctuations
• Reconstructing the primordial power spectrum from the CMB
• Reconstruction of the neutrino mass as a function of redshift
• Reconstruction of the primordial power spectra with Planck and BICEP2
• PRISM: Sparse Recovery of the Primordial Power Spectrum
• Inflamagnetogenesis redux: Unzipping sub-Planckian inflation via various cosmoparticle probes
• Uncorrelated estimates of the primordial power spectrum
• Constraints on the Tensor-to-Scalar ratio for non-power-law models
• Primordial power spectrum versus extension parameters beyond the standard model
• Bayesian inference methodology for Primordial Power Spectrum reconstructions from Large Scale Structure
• Inflationary Dynamics Reconstruction via Inverse-Scattering Theory
• The Supersymmetric Origin of Chaos and its Hidden Topological Order
• J-PAS: forecast on the primordial power spectrum reconstruction
• Non-equilibrium evolution of quantum fields during inflation and late accelerating expansion