Primordial non-Gaussian signatures in CMB polarization

Abstract

We study the signatures of local type primordial non-Gaussianity, parametrized by $\fnl$, of scalar perturbations in CMB polarization using the probability distribution functions, Minkowski Functionals and Betti numbers. We show that the lowest order non-Gaussian deviation of the PDF of the total polarization intensity is at order $(\fnlσ)^2$. We calculate the non-Gaussian deviations of Minkowski Functionals and Betti numbers from simulated polarization maps. We find that $E$ mode polarization provides independent and equally strong constraint on $\fnl$ as temperature fluctuations. The non-Gaussian signal in the total polarization intensity, however, is much weaker and has a relatively large cosmic variance and hence may not be useful for detecting local type non-Gaussianity.

1+16 pages

References in corpus (4)

• Limits on Primordial Non-Gaussianity from Minkowski Functionals of the WMAP Temperature Anisotropies
• Analytic Minkowski Functionals of the Cosmic Microwave Background: Second-order Non-Gaussianity with Bispectrum and Trispectrum
• CMB Polarization can constrain cosmology better than CMB temperature
• Limits on Second-Order Non-Gaussianity from Minkowski Functionals of WMAP Data

Cited by in corpus (5)

• Tensor Minkowski Functionals for random fields on the sphere
• Minkowski Functionals of CMB polarisation intensity with Pynkowski: theory and application to Planck and future data
• Morphology of CMB fields -- effect of weak gravitational lensing
• Statistical imprints of CMB B-type polarization leakage in an incomplete sky survey analysis
• Probing CMB Polarization Gaussianity with the Statistics of Unpolarized Points: Non-Gaussianity of Planck Data and Prospects for Future B-Mode Measurements