Bubbles in the supersymmetric standard model

We compute the tunneling probability from the symmetric phase to the true vacuum, in the first order electroweak phase transition of the MSSM, and the corresponding Higgs profiles along the bubble wall. We use the resummed two-loop temperature-dependent effective potential, and pay particular attention to the light stop scenario, where the phase transition can be sufficiently strongly first order not to wipe off any previously generated baryon asymmetry. We compute the bubble parameters which are relevant for the baryogenesis mechanism: the wall thickness and $\mathrm{\Delta }\beta$. The two-loop corrections provide important enhancement effects, with respect to the one-loop results, in the amount of baryon asymmetry.