Scalar-induced gravitational waves from small-scale curvature perturbations can imprint detectable CMB B-mode polarization, giving future experiments a new window on the primordial power spectrum at k ~ 1-10 Mpc^-1.
B-mode constraints from Planck low multipole polarisation data
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abstract
We present constraints on primordial B modes from large angular scale cosmic microwave background polarisation anisotropies measured with the Planck satellite. To remove Galactic polarised foregrounds, we use a Bayesian parametric component separation method, modelling synchrotron radiation as a power law and thermal dust emission as a modified blackbody. This method propagates uncertainties from the foreground cleaning into the noise covariance matrices of the maps. We construct two likelihoods: (i) a semi-analytical cross-spectrum-based likelihood-approximation scheme (momento) and (ii) an exact polarisation-only pixel-based likelihood (pixlike). Since momento is based on cross-spectra it is statistically less powerful than pixlike, but is less sensitive to systematic errors correlated across frequencies. Both likelihoods give a tensor-to-scalar ratio, r, that is consistent with zero from low multipole (2 <= ell < 30) Planck polarisation data. From full-mission maps we obtain r_0.05<0.274, at 95 per cent confidence, at a pivot scale of k = 0.05 Mpc^-1, using pixlike. momento gives a qualitatively similar but weaker 95 per cent confidence limit of r_0.05<0.408.
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From Fluctuation to Polarization: Imprints of $O(1-10)\, \mathrm{Mpc}^{-1}$ Curvature Perturbations in CMB B-modes from Scalar-Induced Gravitational Waves
Scalar-induced gravitational waves from small-scale curvature perturbations can imprint detectable CMB B-mode polarization, giving future experiments a new window on the primordial power spectrum at k ~ 1-10 Mpc^-1.