A Measurement of the Primordial Power Spectrum from Maxima and Boomerang Data

Model-independent measurements of the primordial power spectrum of matter density fluctuations provide a unique probe of physics in the very early universe, and can provide powerful constraints on inflationary models. We parametrize the primordial power spectrum A2s(k) as an arbitrary function, and measure its binned amplitude from the cosmic microwave background radiation anisotropy (CMB) data from Maxima and Boomerang. We find that for a flat universe with A2s(k) = 1 (scale-invariant) for scales k < 0.001 h/Mpc, the primordial power spectrum deviates significantly from a scale-invariant HarrisonZeldovich spectrum. It has a drop in power at 0.001 h/Mpc < ∼ k < ∼ 0.01 h/Mpc, and a rise in power at 0.01 h/Mpc < ∼ k < ∼ 0.1 h/Mpc, with the general trend of less power on small scales compared to a scale-invariant power spectrum. Our results are consistent with large scale structure data, and seem to suggest that unusual physics may have occurred in the very early universe. At the dawn of the new millennium, the inflationary paradigm appears the most plausible solution to the problems of the standard cosmology, and consistent with all current observational data. However, we are still far from establishing a definitive model of inflation. There currently exists a broad range of inflationary models (Kolb 1997, Turner 1997), many of which appear consistent with observational data. Model-independent measurements of the primordial power spectrum of matter density fluctuations can provide unique and powerful constraints on inflationary models. Although it has been conventional to take the primordial power spectrum to be a featureless power law in analyzing cosmological data, there are both theoretical and observational reasons to allow the primordial power spectrum to be a free function.