CMB Constraints on a Stochastic Background of Primordial Magnetic Fields

Details CMB Constraints on a Stochastic Background of Primordial Magnetic Fields CMB Constraints on a Stochastic Background of Primordial Magnetic Fields

2010-05-02

arxiv.org/abs/1005.0148v2

Phys. Rev. D 83, 123533 (2011)

Astronomy and Astrophysics

Astrophysics

Cosmology and Extragalactic Astrophysics

13 pages, 7 figures, 3 tables. Revised version accepted for publication in Phys. Rev. D, conclusions unchanged

Scientific paper

We constrain a stochastic background of primordial magnetic field (PMF) by its contribution to the angular power spectrum of cosmic microwave background anisotropies. We parametrize such stochastic background by a power-law spectrum with index $n_B$ and by its Gaussian smoothed amplitude $B_\lambda$ on a comoving length $\lambda$. We give an approximation for the spectra of the relevant correlators of the energy-momentum of the stochastic background of PMF for any $n_B$. By using the WMAP 7 year data in combination with ACBAR, BICEP and QUAD we obtain the constraint $B_{1 {\rm Mpc}} < 5.0$ nG at 95% confidence level for a stochastic background of non-helical PMF. We discuss the relative importance of the scalar and vector contribution to CMB anisotropies in obtaining these constraints. We then forecast {\sc Planck} capabilities in constraining $B_{1 {\rm Mpc}}$.

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