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Paper   IPM / Physic / 16228
School of Physics
  Title:   Eigen Reconstruction of Perturbations to the Primordial Tensor Power Spectrum
1.  M. Farhang
2.  A.R. Vafaei Sadr
  Status:   Published
  Journal: Astrophysical Journal
  No.:  2
  Vol.:  871
  Year:  2019
  Supported by:  IPM
We explore the potential of the B-mode anisotropies of the Cosmic Microwave Background radiation (CMB) to constrain the shape of the primordial tensor power spectrum in a model-independent way. We expand possible perturbations to the power-law primordial tensor spectrum (predicted by the simplest single-field slow-roll inflationary models) using various sets of localized and nonlocalized basis functions and construct the Fisher matrix for their amplitudes. The eigen-analysis of the Fisher matrix would then yield a hierarchy of uncorrelated perturbation patterns (called tensor eigenmodes or TeMs) which are rank-ordered 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 B-mode 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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