Principal-component analysis of the cosmic microwave background anisotropies: revealing the tensor degeneracy

Abstract

A principal-component analysis of cosmic microwave background (CMB) anisotropy measurements is used to investigate degeneracies among cosmological parameters. The results show that a degeneracy with tensor modes - the 'tensor degeneracy' - dominates uncertainties in estimates of the baryon and cold dark matter densities, ω b = Ω b h 2 , ω c = Ω c h 2 , 1 from an analysis of CMB anisotropies alone. The principal-component analysis agrees well with a maximum-likelihood analysis of the observations, identifying the main degeneracy directions and providing an impression of the effective dimensionality of the parameter space.