Strongly first order electroweak phase transition induced by primordial hypermagnetic fields

We consider the effect of the presence of a hypermagnetic field at the electroweak phase transition. Screening of the Z-component inside a bubble of the broken phase delays the phase transition and makes it stronger first order. We show that the sphaleron constraint can be evaded for mH up to 100 GeV if a BY≳0.3T2 exists at the time of the EW phase transition, thus resurrecting the possibility for baryogenesis within the minimal standard model (provided enough CP violation can be obtained). We estimate that for mH≳100 GeV the Higgs condensate behaves like a type II superconductor with Z-vortices penetrating the bubble. Also, for such high Higgs masses the minimum BY field required for a strong first order phase transition is large enough to render the W-field unstable towards forming a condensate which changes the simple picture of the symmetry breaking.