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The B-mode polarization lensing signal is a useful probe of the neutrino massand to a lesser extent the dark energy equation of state as the signal dependson the integrated mass power spectrum between us and the last scatteringsurface. This lensing B-mode signal, however, is non-Gaussian and the resultingnon-Gaussian covariance to the power spectrum cannot be ignored as correlationsbetween B-mode bins are at a level of 0.1. For temperature and E-modepolarization power spectra, the non-Gasussian covariance is not significant,where we find correlations at the 10^{-5} level even for adjacent bins. Theresulting degradation on neutrino mass and dark energy equation of state isabout a factor of 2 to 3 when compared to the case where statistics are simplyconsidered to be Gaussian. We also discuss parameter uncertainties achievablein upcoming experiments and show that at a given angular resolution forpolarization observations, increasing the sensitivity beyond a certain noisevalue does not lead to an improved measurement of the neutrino mass and darkenergy equation of state with B-mode power spectrum. For Planck, the resultingconstraints on the sum of the neutrino masses is ~ 0.2 eV and on the darkenergy equation of state parameter we find, sigma_w ~ 0.5.Comment: 11 pages, 5 figures, minor changes, submitted to PR

physical review. d. particles, fields, gravitation, and cosmology/physical review. d, particles, fields, gravitation, and cosmology

Non-Gaussian covariance of CMB<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi>B</mml:mi></mml:math>modes of polarization and parameter degradation

Non-Gaussian covariance of CMBBmodes of polarization and parameter degradation