Constraints on a Stochastic Background of Primordial Magnetic Fields with WMAP and South Pole Telescope data

Abstract: We constrain a stochastic background of primordial magnetic fields (PMF) by its contribution to the cosmic microwave background (CMB) anisotropy angular power spectrum with the combination of WMAP 7 year and South Pole Telescope (SPT) data. The contamination in the SPT data by unresolved point sources and by the Sunyaev Zeldovich (SZ) effect due to galaxy clusters has been taken into account as modelled by the SPT collaboration. With this combination of WMAP 7 yr and SPT data, we constrain the amplitude Gaussian smoothed over 1 Mpc scale of a stochatic background of non-helical PMF to $B_{\rm 1 Mpc}<3.5$ nG at 95% confidence level. Our analysis shows that SPT data up to $\ell=3000$ bring an improvement of almost a factor two with respect to results with previous CMB high-$\ell$ data. We then discuss the forecasted impact from unresolved points sources and SZ effect for {\sc Planck} capabilities in constraining PMF.