Bubble walls, CP-violation and electroweak baryogenesis in the MSSM

We discuss the generation of the baryon asymmetry by a strong first order e lectroweak phase transition in the early universe, particularly in the cont ext of the MSSM. This requires a thorough numerical treatment of the bubble wall profile in the case of two Higgs fields. CP-violating complex particl e masses varying with the Higgs field in the wall are essential. Since in t he MSSM there is no indication of spontaneous CP-violation around the criti cal temperature (contrary to the NMSSM) we have to rely on standard explici t CP-violation. Using the WKB approximation for particles in the plasma ive are led to Boltzmann transport equations for the difference of left-handed particles and their CP-conjugates. This asymmetry is finally transformed i nto a baryon asymmetry by out of equilibrium sphaleron transitions in the s ymmetric phase. We solve the transport equations and find a baryon asymmetr y depending mostly on the CP-violating phases and the wall velocity.