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Paper IPM / P / 16228  


Abstract:  
We explore the potential of the Bmode anisotropies of the Cosmic Microwave Background radiation (CMB) to constrain the shape of the primordial tensor power spectrum in a modelindependent way. We expand possible perturbations to the powerlaw primordial tensor spectrum (predicted by the simplest singlefield slowroll inflationary models) using various sets of localized and nonlocalized basis functions and construct the Fisher matrix for their amplitudes. The eigenanalysis of the Fisher matrix would then yield a hierarchy of uncorrelated perturbation patterns (called tensor eigenmodes or TeMs) which are rankordered according to their measurability by data. We find that the first three TeMs are expected to be constrainable within a few percent by the next generation of Bmode experiments. We discuss how the method can be iteratively used to reconstruct the observable part of any general deviation from the fiducial power spectrum.
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