Maximum Entropy deconvolution of Primordial Power Spectrum

TL;DR

This paper employs the Maximum Entropy Method to reconstruct the primordial power spectrum from CMB data, finding no significant features and thus supporting the simplest inflationary models.

Contribution

It introduces a MEM-based approach for reconstructing the primordial power spectrum from CMB data, providing a new method for analyzing early universe perturbations.

Findings

No significant features detected in the primordial power spectrum.

Supports the simplest inflationary models.

Method can be applied to future CMB datasets.

Abstract

It is well known that CMB temperature anisotropies and polarization can be used to probe the metric perturbations in the early universe. Presently, there exist neither any observational detection of tensor modes of primordial metric perturbations nor of primordial non-Gaussianity. In such a scenario, primordial power spectrum of scalar metric perturbations is the only correlation function of metric perturbations (presumably generated during inflation) whose effects can be directly probed through various observations. To explore the possibility of any deviations from the simplest picture of the era of cosmic inflation in the early universe, it thus becomes extremely important to uncover the amplitude and shape of this (only available) correlation sufficiently well. In the present work, we attempt to reconstruct the primordial power spectrum of scalar metric perturbations using the binned (uncorrelated) CMB temperature anisotropies data using the Maximum Entropy Method (MEM) to solve the corresponding inverse problem. Our analysis shows that, given the current CMB data, there are no convincing reasons to believe that the primordial power spectrum of scalar metric perturbations has any significant features.