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We constrain a stochastic background of primordial magnetic fields (PMF) byits contribution to the cosmic microwave background (CMB) anisotropy angularpower spectrum with the combination of WMAP 7 year and South Pole Telescope(SPT) data. The contamination in the SPT data by unresolved point sources andby the Sunyaev Zeldovich (SZ) effect due to galaxy clusters has been taken intoaccount as modelled by the SPT collaboration. With this combination of WMAP 7yr and SPT data, we constrain the amplitude Gaussian smoothed over 1 Mpc scaleof 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 animprovement of almost a factor two with respect to results with previous CMBhigh-$\ell$ data. We then discuss the forecasted impact from unresolved pointssources and SZ effect for {\sc Planck} capabilities in constraining PMF.

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