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We study electroweak baryogenesis and electric dipole moments in the presenceof the two leading-order, non-renormalizable operators in the Higgs sector ofthe MSSM. Significant qualitative and quantitative differences from MSSMbaryogenesis arise due to the presence of new CP-violating phases and to therelaxation of constraints on the supersymmetric spectrum (in particular, bothstops can be light). We find: (1) spontaneous baryogenesis, driven by a changein the phase of the Higgs vevs across the bubble wall, becomes possible; (2)the top and stop CP-violating sources can become effective; (3) baryogenesis isviable in larger parts of parameter space, alleviating the well-knownfine-tuning associated with MSSM baryogenesis. Nevertheless, electric dipolemoments should be measured if experimental sensitivities are improved by aboutone order of magnitude.

CP violation Beyond the MSSM: Baryogenesis and Electric Dipole Moments