The Knotted Sky II: Does BICEP2 require a nontrivial primordial power spectrum?

Mar 24, 2014
14 pages
Published in:
  • JCAP 08 (2014) 053
  • Published: 2014
e-Print:

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Abstract: (IOP)
An inflationary gravitational wave background consistent with BICEP2 is difficult to reconcile with a simple power-law spectrum of primordial scalar perturbations. Tensor modes contribute to the temperature anisotropies at multipoles with llesssim 100, and this effect — together with a prior on the form of the scalar perturbations — was the source of previous bounds on the tensor-to-scalar ratio. We compute Bayesian evidence for combined fits to BICEP2 and Planck for three nontrivial primordial spectra: a) a running spectral index, b) a cutoff at fixed wavenumber, and c) a spectrum described by a linear spline with a single internal knot. We find no evidence for a cutoff, weak evidence for a running index, and significant evidence for a ``broken'' spectrum. Taken at face-value, the BICEP2 results require two new inflationary parameters in order to describe both the broken scale invariance in the perturbation spectrum and the observed tensor-to-scalar ratio. Alternatively, this tension may be resolved by additional data and more detailed analyses.
Note:
  • 14 pages, 5 figures, 4 tables; v2: references added, discussion updated, matches published version
  • gravitational waves and CMBR polarization
  • cosmological parameters from CMBR
  • CMBR polarisation
  • inflation
  • perturbation: spectrum
  • power spectrum: primordial
  • perturbation: scalar
  • gravitational radiation: background
  • temperature: anisotropy
  • inflation