Impact of primordial magnetic fields on the first-order electroweak phase transition

We numerically study how the primordial magnetic field affects the first-order electroweak phase transition in the early Universe. We observe the following: 1) the phase transition process would be slowed down by the magnetic field; 2) the phenomenon of vortex structure of the Higgs condensation appears when the homogenesis hypermagentic field g ′ B Y e x / m W 2 ≳ 3.63 ; and, 3) the helical hypermagnetic field can dramatically enhance the sphaleron rate and validate the generation of the baryon asymmetry through the chiral anomaly.