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

We discuss the generation of the baryon asymmetry by a strong first order electroweak phase transition in the early universe, particularly in the context of the MSSM. This requires a thorough numerical treatment of the bubble wall profile in the case of two Higgs fields. CP-violating complex particle masses varying with the Higgs field in the wall are essential. Since in the MSSM there is no indication of spontaneous CP-violation around the critical temperature (contrary to the NMSSM) we have to rely on standard explicit 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 into a baryon asymmetry by out of equilibrium sphaleron transitions in the symmetric phase. We solve the transport equations and find a baryon asymmetry depending mostly on the CP-violating phases and the wall velocity.