Smoothing spline primordial power spectrum reconstruction

Abstract

We reconstruct the shape of the primordial power spectrum (PPS) using a smoothing spline. Our adapted smoothing spline technique provides a complementary method to existing efforts to search for smooth features in the PPS, such as a running spectral index. With this technique we find no significant indication with WMAP first-year data that the PPS deviates from Harrison-Zeldovich and no evidence for loss of power on large scales. We also examine the effect on the cosmological parameters of the additional PPS freedom. Smooth variations in the PPS are not significantly degenerate with other cosmological parameters, but the spline reconstruction greatly increases the errors on the optical depth and baryon fraction.

12 pages, 10 figures. Accepted to PRD

References in corpus (21)

• First Year Wilkinson Microwave Anisotropy Probe (WMAP) Observations: Determination of Cosmological Parameters
• Cosmological parameters from CMB and other data: a Monte-Carlo approach
• A Line of Sight Approach to Cosmic Microwave Background Anisotropies
• First Year Wilkinson Microwave Anisotropy Probe (WMAP) Observations: Implications for Inflation
• Wilkinson Microwave Anisotropy Probe (WMAP) First Year Observations: TE Polarization
• First Year Wilkinson Microwave Anisotropy Probe (WMAP) Observations: Angular Power Spectrum
• First Year Wilkinson Microwave Anisotropy Probe (WMAP) Observations: Parameter Estimation Methodology
• How many cosmological parameters?
• Suppressing the lower Multipoles in the CMB Anisotropies
• Reconstructing the primordial power spectrum
• Does the small CMB quadrupole moment suggest new physics?
• Efficient Cosmological Parameter Estimation from Microwave Background Anisotropies
• Primordial power spectrum from WMAP
• An alternative to the cosmological 'concordance model'
• Model-Independent Reconstruction of the Primordial Power Spectrum from WMAP Data
• Reconstructing the primordial power spectrum - a new algorithm
• Inflation versus Cyclic Predictions for Spectral Tilt
• Reconstructing the Primordial Spectrum from WMAP Data by the Cosmic Inversion Method
• A new search for features in the primordial power spectrum
• Fast Cosmological Parameter Estimation from Microwave Background Temperature and Polarization Power Spectra
• Direct Wavelet Expansion of the Primordial Power Spectrum

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• Inflationary Features and Shifts in Cosmological Parameters from Planck 2015 Data
• Testing for New Physics: Neutrinos and the Primordial Power Spectrum
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