Slow-roll inflation and CMB anisotropy data

Abstract

We emphasize that the estimation of cosmological parameters from cosmic microwave background (CMB) anisotropy data, such as the recent high resolution maps from BOOMERanG and MAXIMA-1, requires assumptions about the primordial spectra. The latter are predicted from inflation. The physically best-motivated scenario is that of slow-roll inflation. However, very often, the unphysical power-law inflation scenario is (implicitly) assumed in the CMB data analysis. We show that the predicted multipole moments differ significantly in both cases. We identify several misconceptions present in the literature (and in the way inflationary relations are often combined in popular numerical codes). For example, we do not believe that, generically, inflation predicts the relation n_S - 1 = n_T for the spectral indices of scalar and tensor perturbations or that gravitational waves are negligible. We calculate the CMB multipole moments for various values of the slow-roll parameters and demonstrate that an important part of the space of parameters (n_S, n_T) has been overlooked in the CMB data analysis so far.

6 pages, 4 figures, minor changes to match the published version

References in corpus (6)

• Efficient Computation of CMB anisotropies in closed FRW models
• A Flat Universe from High-Resolution Maps of the Cosmic Microwave Background Radiation
• Review of Big Bang Nucleosynthesis and Primordial Abundances
• Estimating reaction rates and uncertainties for primordial nucleosynthesis
• Supernova type Ia luminosities, their dependence on second parameters, and the value of H_0
• New CMB constraints on the cosmic matter budget: trouble for nucleosynthesis?

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