STRONG ELECTROWEAK PHASE-TRANSITION UP TO M(H)SIMILAR-TO-105 GEV

Perturbative calculations suggest that the electroweak phase transitio n in the minimal supersymmetric standard model (MSM) can be strong eno ugh for baryogenesis for Higgs masses up to m(H) similar to 105 GeV, p rovided that the lightest stop mass is in the range 100-160 GeV. We ha ve performed large-scale lattice Monte Carlo simulations of the MSSM e lectroweak phase transition. We find that the transition is in fact st ronger than in perturbation theory. This guarantees that the perturbat ive mass bounds are conservative ones, and provides a strong motivatio n for further studies of MSSM baryogenesis.