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CMB and matter power spectra from cross correlations of primordial curvature and magnetic fields
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A complete numerical calculation of the temperature anisotropies and the polarization of the cosmic microwave background (CMB) is presented for a non zero cross correlation of a stochastic magnetic field with the primordial curvature perturbation. Such a cross correlation results, for example, if the magnetic field is generated during inflation by coupling electrodynamics to a scalar field which is identified with the curvaton. For a nearly scale invariant magnetic field of 1 nG it is found that at low multipoles the contribution due to the cross correlation dominates over that of the pure magnetic mode. A similar behaviour on large scales is found for the linear matter power spectrum.
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Inflationary trispectrum of gauge fields from scalar and tensor exchanges
The inflationary trispectrum of gauge fields from scalar and tensor exchanges is derived analytically, yielding beta^zeta_nl = (b^zeta_nl)^2 in the counter-collinear limit and growing flattened-limit signals.
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