  We study the strength of the electroweak phase transition in models with two
light Higgs doublets and a light SU(3)_c triplet by means of lattice
simulations in a dimensionally reduced effective theory. In the parameter
region considered the transition on the lattice is significantly stronger than
indicated by a 2-loop perturbative analysis. Within some ultraviolet
uncertainties, the finding applies to MSSM with a Higgs mass m_h approximately
126 GeV and shows that the parameter region useful for electroweak baryogenesis
is enlarged. In particular (even though only dedicated analyses can quantify
the issue), the tension between LHC constraints after the 7 TeV and 8 TeV runs
and frameworks where the electroweak phase transition is driven by light stops,
seems to be relaxed.
