Non-Gaussian Covariance of CMB B-modes of Polarization and Parameter Degradation

Abstract

The B-mode polarization lensing signal is a useful probe of the neutrino mass and to a lesser extent the dark energy equation of state as the signal depends on the integrated mass power spectrum between us and the last scattering surface. This lensing B-mode signal, however, is non-Gaussian and the resulting non-Gaussian covariance to the power spectrum cannot be ignored as correlations between B-mode bins are at a level of 0.1. For temperature and E-mode polarization power spectra, the non-Gasussian covariance is not significant, where we find correlations at the 10^{-5} level even for adjacent bins. The resulting degradation on neutrino mass and dark energy equation of state is about a factor of 2 to 3 when compared to the case where statistics are simply considered to be Gaussian. We also discuss parameter uncertainties achievable in upcoming experiments and show that at a given angular resolution for polarization observations, increasing the sensitivity beyond a certain noise value does not lead to an improved measurement of the neutrino mass and dark energy equation of state with B-mode power spectrum. For Planck, the resulting constraints on the sum of the neutrino masses is ~ 0.2 eV and on the dark energy equation of state parameter we find, sigma_w ~ 0.5.

arXiv comment11 pages, 5 figures, minor changes, submitted to PRD

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• The Atacama Cosmology Telescope: Constraints on Cosmic Birefringence
• Full covariance of CMB and lensing reconstruction power spectra
• CMB lensing and primordial non-Gaussianity
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• CMB Lensing Constraints on Dark Energy and Modified Gravity Scenarios
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• Probing inflation with CMB polarization : weak lensing effect on the covariance of CMB spectra
• LiteBIRD science goals and forecasts: improved full-sky reconstruction of the gravitational lensing potential through the combination of Planck and LiteBIRD data